Time bar (total: 9.9s)
| 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)
| 1.7s | 8256× | body | 256 | valid |
| 305.0ms | 1200× | 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 |
|---|---|---|
| ▶ | 0.2b | (*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) |
| ▶ | 0.2b | (*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand))) |
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 | a | @ | -inf | (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) |
| 2.0ms | rand | @ | 0 | (/.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))) |
| 1.0ms | a | @ | 0 | (*.f64 (-.f64 a 1/3) (+.f64 1 (/.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 | |
|---|---|---|---|---|
| 37.0ms | rand | @ | inf | (*.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))))) |
| 1.0ms | rand | @ | 0 | (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand) |
| 1.0ms | a | @ | -inf | (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) |
| 1.0ms | 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)
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 455 | 10 | 465 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 0 | 1 |
| Total | 457 | 10 | 467 |
| Status | Error | Program |
|---|---|---|
| ▶ | 43.1b | (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)) |
| 50.3b | (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) | |
| 43.0b | (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) | |
| ▶ | 0.1b | (*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3))))) |
| 0.2b | (*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (/.f64 1 (/.f64 (sqrt.f64 (fma.f64 9 a -3)) rand)))) | |
| ▶ | 0.1b | (*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand))) |
| ▶ | 0.1b | (-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3) |
| 0.4b | (*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a))))) | |
| ▶ | 20.8b | (-.f64 a 1/3) |
| 21.6b | a |
Compiled 247 to 200 computations (19% 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 (pow.f64 (fma.f64 a 9 -3) -1/2) rand))) |
| ✓ | 0.1b | (pow.f64 (fma.f64 a 9 -3) -1/2) |
| ✓ | 0.2b | (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) |
Compiled 54 to 42 computations (22.2% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 31.0ms | rand | @ | inf | (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) |
| 2.0ms | a | @ | inf | (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) |
| 2.0ms | rand | @ | 0 | (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) |
| 1.0ms | a | @ | inf | (pow.f64 (fma.f64 a 9 -3) -1/2) |
| 1.0ms | a | @ | -inf | (pow.f64 (fma.f64 a 9 -3) -1/2) |
| 1× | batch-egg-rewrite |
| 600× | log-prod_binary64 |
| 521× | prod-diff_binary64 |
| 392× | fma-def_binary64 |
| 252× | pow1/3_binary64 |
| 251× | expm1-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 39 |
| 1 | 308 | 37 |
| 2 | 3773 | 37 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) |
(pow.f64 (fma.f64 a 9 -3) -1/2) |
(*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 rand) (pow.f64 (fma.f64 a 9 -3) -1/2))) (cbrt.f64 (pow.f64 (exp.f64 rand) (pow.f64 (fma.f64 a 9 -3) -1/2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 rand) (pow.f64 (fma.f64 a 9 -3) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 rand) (pow.f64 (fma.f64 a 9 -3) -1/2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 rand) (pow.f64 (fma.f64 a 9 -3) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 rand rand) (pow.f64 (fma.f64 a 9 -3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 rand) (pow.f64 (fma.f64 a 9 -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1)) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -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 a 9 -3) -1/2) rand 1)) 2) (cbrt.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1)) (sqrt.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) 3)) (/.f64 1 (fma.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand -1) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (*.f64 (*.f64 rand rand) (pow.f64 (fma.f64 a 9 -3) -1))) (/.f64 1 (-.f64 1 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand))) -1))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (fma.f64 a 9 -3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 a 9 -3) -1/2))) (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 a 9 -3) -1/2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 a 9 -3) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (fma.f64 a 9 -3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)) (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) -1)) (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))))) (#(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 (pow.f64 1 -1/2) (pow.f64 (fma.f64 a 9 -3) -1/2))))) (#(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 *.f64 (pow.f64 (sqrt.f64 (fma.f64 a 9 -3)) -1/2) (pow.f64 (sqrt.f64 (fma.f64 a 9 -3)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 a 9 -3) -1))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 a 9 -3) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -1/2 (log.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (fma.f64 a 9 -3))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 a (+.f64 -1/3 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 a -1/3) (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 a -1/3) (*.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3))) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1)) (*.f64 -1/3 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1) a) (*.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 a (-.f64 1/3 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) (+.f64 1 (pow.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) 3))) (*.f64 (fma.f64 a a (fma.f64 a 1/3 1/9)) (fma.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand -1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 a a -1/9) (+.f64 1 (pow.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) 3))) (*.f64 (+.f64 a 1/3) (fma.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand -1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) (-.f64 1 (*.f64 (*.f64 rand rand) (pow.f64 (fma.f64 a 9 -3) -1)))) (*.f64 (fma.f64 a a (fma.f64 a 1/3 1/9)) (-.f64 1 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 a a -1/9) (-.f64 1 (*.f64 (*.f64 rand rand) (pow.f64 (fma.f64 a 9 -3) -1)))) (*.f64 (+.f64 a 1/3) (-.f64 1 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) 3)) (+.f64 (pow.f64 a 3) -1/27)) (*.f64 (fma.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand -1) 1) (fma.f64 a a (fma.f64 a 1/3 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 (*.f64 rand rand) (pow.f64 (fma.f64 a 9 -3) -1))) (+.f64 (pow.f64 a 3) -1/27)) (*.f64 (-.f64 1 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand)) (fma.f64 a a (fma.f64 a 1/3 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) 3)) (fma.f64 a a -1/9)) (*.f64 (fma.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand -1) 1) (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 (*.f64 rand rand) (pow.f64 (fma.f64 a 9 -3) -1))) (fma.f64 a a -1/9)) (*.f64 (-.f64 1 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand)) (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3))) 3)) (+.f64 (pow.f64 (+.f64 a -1/3) 2) (-.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3))) (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3)))) (*.f64 (+.f64 a -1/3) (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 a -1/3) 2) (*.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3))) (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3))))) (-.f64 (+.f64 a -1/3) (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1)) (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) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1)) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) 3)) (+.f64 a -1/3)) (fma.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 (*.f64 rand rand) (pow.f64 (fma.f64 a 9 -3) -1))) (+.f64 a -1/3)) (-.f64 1 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 a -1/3) (+.f64 1 (pow.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) 3))) (fma.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 a -1/3) (-.f64 1 (*.f64 (*.f64 rand rand) (pow.f64 (fma.f64 a 9 -3) -1)))) (-.f64 1 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x 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-1)))) (cbrt.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand)) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 a -1/3) (sqrt.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand))) (sqrt.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand)) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) (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 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3)))))) |
| 1× | egg-herbie |
| 612× | fma-def_binary64 |
| 522× | distribute-rgt-in_binary64 |
| 515× | distribute-lft-in_binary64 |
| 417× | distribute-rgt-out_binary64 |
| 404× | associate-*r*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 129 | 1350 |
| 1 | 385 | 1259 |
| 2 | 1219 | 1096 |
| 3 | 5323 | 1009 |
| 1× | node limit |
| Inputs |
|---|
(*.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)))))) |
(*.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)))) |
(sqrt.f64 -1/3) |
(+.f64 (*.f64 3/2 (*.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3)) |
(+.f64 (*.f64 3/2 (*.f64 a (sqrt.f64 -1/3))) (+.f64 (sqrt.f64 -1/3) (*.f64 27/8 (*.f64 (pow.f64 a 2) (sqrt.f64 -1/3))))) |
(+.f64 (*.f64 3/2 (*.f64 a (sqrt.f64 -1/3))) (+.f64 (sqrt.f64 -1/3) (+.f64 (*.f64 135/16 (*.f64 (pow.f64 a 3) (sqrt.f64 -1/3))) (*.f64 27/8 (*.f64 (pow.f64 a 2) (sqrt.f64 -1/3)))))) |
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) |
(+.f64 (*.f64 1/6 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) a)) (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9))))) |
(+.f64 (*.f64 1/6 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) a)) (+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) (*.f64 1/24 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) (pow.f64 a 2))))) |
(+.f64 (*.f64 1/6 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) a)) (+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) (+.f64 (*.f64 5/432 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) (pow.f64 a 3))) (*.f64 1/24 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) (pow.f64 a 2)))))) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) |
(+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) (*.f64 1/6 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) a))) |
(+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) (+.f64 (*.f64 1/6 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) a)) (*.f64 1/24 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) (pow.f64 a 2))))) |
(+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) (+.f64 (*.f64 1/6 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) a)) (+.f64 (*.f64 5/432 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) (pow.f64 a 3))) (*.f64 1/24 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) (pow.f64 a 2)))))) |
(*.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) |
| Outputs |
|---|
(*.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 rand (sqrt.f64 -1/3) (*.f64 -1/2 (/.f64 rand (/.f64 (sqrt.f64 -1/3) a)))) |
(fma.f64 rand (sqrt.f64 -1/3) (*.f64 -1/2 (*.f64 (/.f64 rand (sqrt.f64 -1/3)) a))) |
(*.f64 rand (+.f64 (sqrt.f64 -1/3) (/.f64 (*.f64 -1/2 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 a (/.f64 (sqrt.f64 -1/3) rand)) (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 rand (/.f64 (sqrt.f64 -1/3) a)) (fma.f64 rand (sqrt.f64 -1/3) (/.f64 (*.f64 (*.f64 -1/2 (*.f64 rand (*.f64 a a))) (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2))) (sqrt.f64 -1/3)))) |
(fma.f64 -1/2 (fma.f64 (/.f64 a (sqrt.f64 -1/3)) rand (*.f64 (*.f64 rand (*.f64 a a)) (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)))) (*.f64 rand (sqrt.f64 -1/3))) |
(fma.f64 rand (sqrt.f64 -1/3) (*.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) (+.f64 (*.f64 rand a) (*.f64 rand (*.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (*.f64 a 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 a (/.f64 (sqrt.f64 -1/3) rand)) (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 rand (/.f64 (sqrt.f64 -1/3) a)) (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 (*.f64 -1/2 (*.f64 (fma.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) -1/3) 9) (*.f64 rand (pow.f64 a 3)))) (sqrt.f64 -1/3))))) |
(fma.f64 -1/2 (fma.f64 (/.f64 a (sqrt.f64 -1/3)) rand (*.f64 (*.f64 rand (*.f64 a a)) (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)))) (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 (sqrt.f64 -1/3)) (*.f64 -1/2 (+.f64 (*.f64 (*.f64 rand (*.f64 a a)) (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3))) (*.f64 (/.f64 rand (sqrt.f64 -1/3)) (+.f64 (*.f64 (pow.f64 a 3) (+.f64 9 (+.f64 -9/2 (*.f64 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2) -3/2)))) a))))) |
(*.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 (fma.f64 a 9 -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 (fma.f64 a 9 -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 (fma.f64 a 9 -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 (fma.f64 a 9 -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 (fma.f64 a 9 -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 (fma.f64 a 9 -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 (fma.f64 a 9 -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 (fma.f64 a 9 -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 (fma.f64 a 9 -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 (fma.f64 a 9 -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 (fma.f64 a 9 -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 (fma.f64 a 9 -3)))) |
(sqrt.f64 -1/3) |
(+.f64 (*.f64 3/2 (*.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3)) |
(fma.f64 3/2 (*.f64 (sqrt.f64 -1/3) a) (sqrt.f64 -1/3)) |
(*.f64 (sqrt.f64 -1/3) (fma.f64 a 3/2 1)) |
(+.f64 (*.f64 3/2 (*.f64 a (sqrt.f64 -1/3))) (+.f64 (sqrt.f64 -1/3) (*.f64 27/8 (*.f64 (pow.f64 a 2) (sqrt.f64 -1/3))))) |
(+.f64 (fma.f64 3/2 (*.f64 (sqrt.f64 -1/3) a) (sqrt.f64 -1/3)) (*.f64 (*.f64 27/8 (*.f64 a a)) (sqrt.f64 -1/3))) |
(fma.f64 3/2 (*.f64 (sqrt.f64 -1/3) a) (*.f64 (+.f64 (*.f64 (*.f64 a a) 27/8) 1) (sqrt.f64 -1/3))) |
(*.f64 (sqrt.f64 -1/3) (+.f64 (*.f64 a 3/2) (fma.f64 (*.f64 a a) 27/8 1))) |
(+.f64 (*.f64 3/2 (*.f64 a (sqrt.f64 -1/3))) (+.f64 (sqrt.f64 -1/3) (+.f64 (*.f64 135/16 (*.f64 (pow.f64 a 3) (sqrt.f64 -1/3))) (*.f64 27/8 (*.f64 (pow.f64 a 2) (sqrt.f64 -1/3)))))) |
(+.f64 (fma.f64 3/2 (*.f64 (sqrt.f64 -1/3) a) (sqrt.f64 -1/3)) (fma.f64 135/16 (*.f64 (sqrt.f64 -1/3) (pow.f64 a 3)) (*.f64 (*.f64 27/8 (*.f64 a a)) (sqrt.f64 -1/3)))) |
(+.f64 (fma.f64 3/2 (*.f64 (sqrt.f64 -1/3) a) (sqrt.f64 -1/3)) (*.f64 (sqrt.f64 -1/3) (+.f64 (*.f64 (*.f64 a a) 27/8) (*.f64 (pow.f64 a 3) 135/16)))) |
(fma.f64 (sqrt.f64 -1/3) (*.f64 (*.f64 a a) (+.f64 (*.f64 a 135/16) 27/8)) (*.f64 (sqrt.f64 -1/3) (fma.f64 a 3/2 1))) |
(*.f64 (sqrt.f64 -1/3) (+.f64 (fma.f64 a 3/2 1) (*.f64 (*.f64 a a) (+.f64 (*.f64 a 135/16) 27/8)))) |
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) |
(pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))) |
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9))) |
(*.f64 (pow.f64 a -1/2) (pow.f64 9 -1/2)) |
(pow.f64 (*.f64 a 9) -1/2) |
(+.f64 (*.f64 1/6 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) a)) (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9))))) |
(fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))) a) (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9)))) |
(fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9))) a) (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9)))) |
(fma.f64 1/6 (/.f64 (pow.f64 a -1/2) (/.f64 a (pow.f64 9 -1/2))) (*.f64 (pow.f64 a -1/2) (pow.f64 9 -1/2))) |
(*.f64 (+.f64 (/.f64 1/6 a) 1) (pow.f64 (*.f64 a 9) -1/2)) |
(+.f64 (*.f64 1/6 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) a)) (+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) (*.f64 1/24 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) (pow.f64 a 2))))) |
(+.f64 (fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))) a) (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9)))) (*.f64 1/24 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))) (*.f64 a a)))) |
(fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9))) a) (fma.f64 1/24 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9))) (*.f64 a a)) (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9))))) |
(fma.f64 (pow.f64 a -1/2) (pow.f64 9 -1/2) (*.f64 (/.f64 (pow.f64 a -1/2) (/.f64 a (pow.f64 9 -1/2))) (+.f64 1/6 (/.f64 1/24 a)))) |
(+.f64 (pow.f64 (*.f64 a 9) -1/2) (*.f64 (/.f64 (pow.f64 (*.f64 a 9) -1/2) a) (+.f64 (/.f64 1/24 a) 1/6))) |
(+.f64 (*.f64 1/6 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) a)) (+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) (+.f64 (*.f64 5/432 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) (pow.f64 a 3))) (*.f64 1/24 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) (pow.f64 a 2)))))) |
(+.f64 (fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))) a) (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9)))) (fma.f64 5/432 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))) (pow.f64 a 3)) (*.f64 1/24 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))) (*.f64 a a))))) |
(+.f64 (fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9))) a) (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9)))) (fma.f64 1/24 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9))) (*.f64 a a)) (*.f64 5/432 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9))) (pow.f64 a 3))))) |
(fma.f64 1/6 (/.f64 (pow.f64 a -1/2) (/.f64 a (pow.f64 9 -1/2))) (fma.f64 (pow.f64 a -1/2) (pow.f64 9 -1/2) (*.f64 (/.f64 (/.f64 (pow.f64 a -1/2) (/.f64 a (pow.f64 9 -1/2))) a) (+.f64 1/24 (/.f64 5/432 a))))) |
(+.f64 (pow.f64 (*.f64 a 9) -1/2) (*.f64 (/.f64 (pow.f64 (*.f64 a 9) -1/2) a) (+.f64 1/6 (+.f64 (/.f64 1/24 a) (/.f64 5/432 (*.f64 a a)))))) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) |
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a))))) |
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) |
(*.f64 (pow.f64 -9 -1/2) (pow.f64 (/.f64 -1 a) 1/2)) |
(pow.f64 (/.f64 -9 (/.f64 -1 a)) -1/2) |
(+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) (*.f64 1/6 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) a))) |
(+.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a))))) (*.f64 1/6 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a))))) a))) |
(fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) a) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a))))) |
(fma.f64 1/6 (/.f64 (*.f64 (pow.f64 -9 -1/2) (pow.f64 (/.f64 -1 a) 1/2)) a) (*.f64 (pow.f64 -9 -1/2) (pow.f64 (/.f64 -1 a) 1/2))) |
(*.f64 (+.f64 (/.f64 1/6 a) 1) (pow.f64 (/.f64 -9 (/.f64 -1 a)) -1/2)) |
(+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) (+.f64 (*.f64 1/6 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) a)) (*.f64 1/24 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) (pow.f64 a 2))))) |
(+.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a))))) (fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a))))) a) (*.f64 1/24 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a))))) (*.f64 a a))))) |
(+.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) (fma.f64 1/24 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) (*.f64 a a)) (/.f64 1/6 (/.f64 a (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))))))) |
(fma.f64 (pow.f64 -9 -1/2) (pow.f64 (/.f64 -1 a) 1/2) (*.f64 (/.f64 (*.f64 (pow.f64 -9 -1/2) (pow.f64 (/.f64 -1 a) 1/2)) a) (+.f64 (/.f64 1/24 a) 1/6))) |
(+.f64 (pow.f64 (/.f64 -9 (/.f64 -1 a)) -1/2) (*.f64 (/.f64 (pow.f64 (/.f64 -9 (/.f64 -1 a)) -1/2) a) (+.f64 (/.f64 1/24 a) 1/6))) |
(+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) (+.f64 (*.f64 1/6 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) a)) (+.f64 (*.f64 5/432 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) (pow.f64 a 3))) (*.f64 1/24 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) (pow.f64 a 2)))))) |
(+.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a))))) (fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a))))) a) (fma.f64 5/432 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a))))) (pow.f64 a 3)) (*.f64 1/24 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a))))) (*.f64 a a)))))) |
(+.f64 (fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) a) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a))))) (fma.f64 1/24 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) (*.f64 a a)) (*.f64 5/432 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) (pow.f64 a 3))))) |
(fma.f64 1/6 (/.f64 (*.f64 (pow.f64 -9 -1/2) (pow.f64 (/.f64 -1 a) 1/2)) a) (fma.f64 (pow.f64 -9 -1/2) (pow.f64 (/.f64 -1 a) 1/2) (*.f64 (/.f64 (*.f64 (pow.f64 -9 -1/2) (pow.f64 (/.f64 -1 a) 1/2)) (*.f64 a a)) (+.f64 1/24 (/.f64 5/432 a))))) |
(+.f64 (pow.f64 (/.f64 -9 (/.f64 -1 a)) -1/2) (*.f64 (/.f64 (pow.f64 (/.f64 -9 (/.f64 -1 a)) -1/2) a) (+.f64 1/6 (+.f64 (/.f64 1/24 a) (/.f64 5/432 (*.f64 a a)))))) |
(*.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 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1) (+.f64 a (*.f64 a (fma.f64 rand (sqrt.f64 -1/3) (/.f64 1/6 (/.f64 (sqrt.f64 -1/3) rand)))))) |
(fma.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1) (*.f64 a (fma.f64 rand (sqrt.f64 -1/3) (fma.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)) 1)))) |
(+.f64 (*.f64 (fma.f64 rand (sqrt.f64 -1/3) 1) (+.f64 -1/3 a)) (*.f64 a (*.f64 1/6 (/.f64 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 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 (fma.f64 rand (sqrt.f64 -1/3) 1) (/.f64 1/6 (/.f64 (sqrt.f64 -1/3) rand))) (fma.f64 (*.f64 a a) (fma.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3)) (*.f64 1/6 (*.f64 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)) rand))) (*.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1)))) |
(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 rand (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3))))))))) |
(fma.f64 a (*.f64 a (*.f64 rand (+.f64 (/.f64 (+.f64 1/2 (*.f64 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2) 1/6)) (sqrt.f64 -1/3)) (/.f64 -1/2 (sqrt.f64 -1/3))))) (+.f64 (*.f64 (fma.f64 rand (sqrt.f64 -1/3) 1) (+.f64 -1/3 a)) (*.f64 a (*.f64 1/6 (/.f64 rand (sqrt.f64 -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 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)) rand) (/.f64 1/6 (/.f64 (/.f64 (sqrt.f64 -1/3) rand) (fma.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) -1/3) 9)))) (fma.f64 a (+.f64 (fma.f64 rand (sqrt.f64 -1/3) 1) (/.f64 1/6 (/.f64 (sqrt.f64 -1/3) rand))) (fma.f64 (*.f64 a a) (fma.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3)) (*.f64 1/6 (*.f64 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)) rand))) (*.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1))))) |
(fma.f64 (pow.f64 a 3) (fma.f64 -1/2 (*.f64 rand (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3))) (*.f64 1/6 (*.f64 (+.f64 9 (*.f64 -3/2 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)))) (/.f64 rand (sqrt.f64 -1/3))))) (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 rand (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)))))))))) |
(fma.f64 (pow.f64 a 3) (*.f64 rand (+.f64 (/.f64 1/6 (/.f64 (sqrt.f64 -1/3) (+.f64 9 (+.f64 -9/2 (*.f64 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2) -3/2))))) (/.f64 (+.f64 -3/2 (*.f64 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2) -1/2)) (sqrt.f64 -1/3)))) (fma.f64 a (*.f64 a (*.f64 rand (+.f64 (/.f64 (+.f64 1/2 (*.f64 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2) 1/6)) (sqrt.f64 -1/3)) (/.f64 -1/2 (sqrt.f64 -1/3))))) (+.f64 (*.f64 (fma.f64 rand (sqrt.f64 -1/3) 1) (+.f64 -1/3 a)) (*.f64 a (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))))) |
a |
a |
(-.f64 a 1/3) |
(+.f64 a -1/3) |
(+.f64 -1/3 a) |
(-.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 -1/3 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (*.f64 rand (+.f64 -1/3 a)) a)) |
(*.f64 (+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) 1) (+.f64 -1/3 a)) |
(-.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 -1/3 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (*.f64 rand (+.f64 -1/3 a)) a)) |
(*.f64 (+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) 1) (+.f64 -1/3 a)) |
(-.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 -1/3 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (*.f64 rand (+.f64 -1/3 a)) a)) |
(*.f64 (+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) 1) (+.f64 -1/3 a)) |
(*.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 -1/3 a) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))) |
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (*.f64 rand (+.f64 -1/3 a))) |
(-.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 -1/3 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (*.f64 rand (+.f64 -1/3 a)) a)) |
(*.f64 (+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) 1) (+.f64 -1/3 a)) |
(-.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 -1/3 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (*.f64 rand (+.f64 -1/3 a)) a)) |
(*.f64 (+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) 1) (+.f64 -1/3 a)) |
(-.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 -1/3 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (*.f64 rand (+.f64 -1/3 a)) a)) |
(*.f64 (+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) 1) (+.f64 -1/3 a)) |
(*.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 -1/3 a) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))) |
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (*.f64 rand (+.f64 -1/3 a))) |
(-.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 -1/3 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (*.f64 rand (+.f64 -1/3 a)) a)) |
(*.f64 (+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) 1) (+.f64 -1/3 a)) |
(-.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 -1/3 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (*.f64 rand (+.f64 -1/3 a)) a)) |
(*.f64 (+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) 1) (+.f64 -1/3 a)) |
(-.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 -1/3 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (*.f64 rand (+.f64 -1/3 a)) a)) |
(*.f64 (+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) 1) (+.f64 -1/3 a)) |
Compiled 7 to 5 computations (28.6% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (sqrt.f64 (+.f64 a -1/3)) |
| ✓ | 0.3b | (*.f64 1/3 rand) |
| ✓ | 0.3b | (*.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 | |
|---|---|---|---|---|
| 2.0ms | rand | @ | 0 | (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)) |
| 2.0ms | a | @ | -inf | (*.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 | a | @ | -inf | (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 | 22 |
| 1 | 192 | 22 |
| 2 | 2297 | 22 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)) |
(*.f64 1/3 rand) |
(sqrt.f64 (+.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 (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 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.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 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 |
| 990× | distribute-lft-out_binary64 |
| 679× | fma-def_binary64 |
| 471× | associate-/r*_binary64 |
| 468× | distribute-rgt-out_binary64 |
| 459× | associate-*r*_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 354 |
| 1 | 132 | 346 |
| 2 | 396 | 342 |
| 3 | 1402 | 337 |
| 4 | 5837 | 324 |
| 5 | 7082 | 324 |
| 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)) |
(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 (*.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 (*.f64 1/6 a) rand) (sqrt.f64 -1/3))) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 (/.f64 1/6 (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)))) |
(+.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 (/.f64 rand (sqrt.f64 -1/3)) a) (/.f64 (/.f64 (*.f64 rand (*.f64 a a)) 8) (sqrt.f64 -1/3)))) |
(fma.f64 1/8 (*.f64 rand (*.f64 a (/.f64 a (sqrt.f64 -1/3)))) (*.f64 rand (+.f64 (*.f64 1/3 (sqrt.f64 -1/3)) (/.f64 (*.f64 1/6 a) (sqrt.f64 -1/3))))) |
(*.f64 rand (+.f64 (*.f64 1/3 (sqrt.f64 -1/3)) (*.f64 (/.f64 a (sqrt.f64 -1/3)) (+.f64 1/6 (*.f64 -1/24 (/.f64 a -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 (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 a (/.f64 (sqrt.f64 -1/3) rand)) (fma.f64 1/48 (*.f64 (/.f64 (pow.f64 a 3) (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 1/8 (/.f64 rand (/.f64 (sqrt.f64 -1/3) (*.f64 a a))) (fma.f64 1/6 (*.f64 (/.f64 rand (sqrt.f64 -1/3)) a) (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) (*.f64 rand 1/48))))) |
(fma.f64 1/8 (*.f64 rand (*.f64 a (/.f64 a (sqrt.f64 -1/3)))) (fma.f64 1/6 (*.f64 rand (/.f64 a (sqrt.f64 -1/3))) (*.f64 rand (+.f64 (*.f64 1/3 (sqrt.f64 -1/3)) (*.f64 1/48 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))))))) |
(*.f64 rand (+.f64 (*.f64 (/.f64 a (sqrt.f64 -1/3)) (+.f64 1/6 (*.f64 -1/24 (/.f64 a -1/3)))) (+.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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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)) |
(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)))) |
(fma.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) (+.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 1/16 (/.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)))))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) |
| ✓ | 0.0b | (sqrt.f64 (-.f64 a 1/3)) |
| ✓ | 0.3b | (*.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)
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 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) |
| 1.0ms | a | @ | inf | (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand) |
| 1.0ms | a | @ | 0 | (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand) |
| 1.0ms | rand | @ | -inf | (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand) |
| 1× | batch-egg-rewrite |
| 490× | log-prod_binary64 |
| 364× | exp-prod_binary64 |
| 340× | pow-prod-down_binary64 |
| 338× | fma-def_binary64 |
| 264× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 40 |
| 1 | 204 | 40 |
| 2 | 2754 | 40 |
| 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)) |
(+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3))) rand))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3))) rand)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3))) rand)))) (log.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3))) rand)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.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 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))) 1/2)))) (#(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 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 (exp.f64 1) (log.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) 2)) (cbrt.f64 (log.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))) (sqrt.f64 (log.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))))) (#(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 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3))) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.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 exp.f64 (*.f64 (log.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 3) 1/3)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3))) rand)) 2)) (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3))) rand))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3))) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.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 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)) 1/2)))) (#(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 pow.f64 (exp.f64 1) (log.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 2)) (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))))) (#(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 log.f64 (+.f64 1 (expm1.f64 (*.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 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 exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 1) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3)))) 2)) (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.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 (pow.f64 (+.f64 a -1/3) 1/6) (cbrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 a -1/3)) (pow.f64 (+.f64 a -1/3) 1/6))))) (#(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 (+.f64 (pow.f64 a 3) -1/27)) (hypot.f64 a (sqrt.f64 (fma.f64 1/3 a 1/9))))))) (#(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 (pow.f64 (+.f64 a -1/3) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 a -1/3) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 a -1/3) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 a -1/3)) 3/2)))) (#(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 pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/2) (log.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 a -1/3)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 a -1/3))))) (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 a -1/3)))))))) (#(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 exp.f64 (*.f64 (*.f64 3/2 (log.f64 (+.f64 a -1/3))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 a -1/3) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 a -1/3) 1/4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 a -1/3)) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 a -1/3)) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 a -1/3))) 1) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))) (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (neg.f64 a))) (/.f64 (*.f64 a a) (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)) (pow.f64 (cbrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)) 2) (cbrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)) (sqrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/27 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) (pow.f64 a 3)) (/.f64 1 (fma.f64 a (-.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))) (*.f64 a a)) (/.f64 1 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 a (-.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))) (fma.f64 1/27 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) (pow.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (neg.f64 a)) (-.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))) (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/27 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) (pow.f64 a 3)) (fma.f64 a (-.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/27 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) (pow.f64 a 3)) (fma.f64 a a (-.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))) (*.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (*.f64 1/3 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))) (*.f64 a a)) (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 1/27 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) (pow.f64 a 3))) (neg.f64 (fma.f64 a (-.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))) (*.f64 a a))) (neg.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 a a) (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))) (-.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 a (-.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))) (fma.f64 1/27 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) (pow.f64 a 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (neg.f64 a)) (-.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))) (*.f64 a a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a))) 2)) (cbrt.f64 (log.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)))) (sqrt.f64 (log.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 a)) (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3))) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 a) (+.f64 1 (expm1.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 a)) (+.f64 1 (expm1.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3))) rand)) (+.f64 1 (expm1.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) (+.f64 1 (expm1.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a 1 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 1/3) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 1/3 a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 1 a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 a (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (cbrt.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))) (cbrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 a) (pow.f64 (cbrt.f64 a) 2) (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))) (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 1/3) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (sqrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (sqrt.f64 a) (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 1/3) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 (cbrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))) (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 1) rand a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) (pow.f64 (cbrt.f64 rand) 2)) (cbrt.f64 rand) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 rand)) (sqrt.f64 rand) a))))) |
| 1× | egg-herbie |
| 899× | distribute-lft-out_binary64 |
| 649× | associate-*l*_binary64 |
| 586× | associate-*l/_binary64 |
| 548× | associate-/r*_binary64 |
| 391× | distribute-rgt-out_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 576 |
| 1 | 201 | 540 |
| 2 | 584 | 534 |
| 3 | 1987 | 509 |
| 4 | 6153 | 491 |
| 5 | 7098 | 491 |
| 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)))) |
(*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) |
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (*.f64 (+.f64 1 (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) a)) |
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (*.f64 (+.f64 1 (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) a))) |
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 (+.f64 1 (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) a) (*.f64 1/48 (/.f64 (*.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5)))))) |
a |
a |
a |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) |
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) |
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) |
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) |
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) |
| Outputs |
|---|
(*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) |
(*.f64 (*.f64 1/3 rand) (sqrt.f64 -1/3)) |
(*.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 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 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 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 1/8 (/.f64 rand (/.f64 (sqrt.f64 -1/3) (*.f64 a a))) (*.f64 (/.f64 a (sqrt.f64 -1/3)) (*.f64 rand 1/6)))) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 (/.f64 rand (sqrt.f64 -1/3)) (+.f64 (/.f64 (*.f64 a (*.f64 a -1/24)) -1/3) (*.f64 1/6 a)))) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 (*.f64 rand (/.f64 a (sqrt.f64 -1/3))) (+.f64 1/6 (/.f64 (*.f64 a -1/24) -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 a a) (/.f64 (pow.f64 (sqrt.f64 -1/3) 3) rand)) (/.f64 (*.f64 1/48 (*.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 1/8 (/.f64 rand (/.f64 (sqrt.f64 -1/3) (*.f64 a a))))))) |
(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 rand (sqrt.f64 -1/3)) (+.f64 (/.f64 (*.f64 a (*.f64 a -1/24)) -1/3) (*.f64 1/6 a))))) |
(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 rand (/.f64 a (sqrt.f64 -1/3))) (+.f64 1/6 (/.f64 (*.f64 a -1/24) -1/3))))) |
(*.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 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 (/.f64 1/2 (sqrt.f64 -1/3)) a) 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 a a) (/.f64 (pow.f64 (sqrt.f64 -1/3) 3) rand)) -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 3/8 (/.f64 a (/.f64 (sqrt.f64 -1/3) a))) 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)))))) |
(*.f64 rand (+.f64 (sqrt.f64 -1/3) (*.f64 (/.f64 a (sqrt.f64 -1/3)) (+.f64 1/2 (*.f64 -1/8 (/.f64 a -1/3)))))) |
(+.f64 (*.f64 1/2 (/.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 a a) (/.f64 (pow.f64 (sqrt.f64 -1/3) 3) rand)) -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 3/8 (/.f64 a (/.f64 (sqrt.f64 -1/3) a))) rand)))) |
(+.f64 (*.f64 rand (+.f64 (sqrt.f64 -1/3) (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 (sqrt.f64 -1/3) 5) 1/16)))) (*.f64 rand (*.f64 (/.f64 a (sqrt.f64 -1/3)) (+.f64 1/2 (*.f64 -1/8 (/.f64 a -1/3)))))) |
(*.f64 rand (+.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))))))) |
(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)))))) |
(*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) |
(*.f64 (*.f64 1/3 rand) (sqrt.f64 -1/3)) |
(*.f64 (sqrt.f64 -1/3) (*.f64 1/3 rand)) |
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (*.f64 (+.f64 1 (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) a)) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 a (+.f64 1 (/.f64 (*.f64 1/6 rand) (sqrt.f64 -1/3))))) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 a (fma.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)) 1))) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 a (*.f64 (/.f64 1/6 (sqrt.f64 -1/3)) rand) a)) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 a (*.f64 rand (/.f64 1/6 (sqrt.f64 -1/3))) a)) |
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (*.f64 (+.f64 1 (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) a))) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 -1/24 (/.f64 (*.f64 a a) (/.f64 (pow.f64 (sqrt.f64 -1/3) 3) rand)) (*.f64 a (+.f64 1 (/.f64 (*.f64 1/6 rand) (sqrt.f64 -1/3)))))) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 a (fma.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)) 1) (*.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 1/8 (/.f64 rand (/.f64 (sqrt.f64 -1/3) (*.f64 a a))) (fma.f64 a (*.f64 (/.f64 1/6 (sqrt.f64 -1/3)) rand) a))) |
(+.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 (/.f64 rand (sqrt.f64 -1/3)) (+.f64 (/.f64 (*.f64 a (*.f64 a -1/24)) -1/3) (*.f64 1/6 a))))) |
(+.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 (*.f64 rand (/.f64 a (sqrt.f64 -1/3))) (+.f64 1/6 (/.f64 (*.f64 a -1/24) -1/3))))) |
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 (+.f64 1 (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) a) (*.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 -1/24 (/.f64 (*.f64 a a) (/.f64 (pow.f64 (sqrt.f64 -1/3) 3) rand)) (fma.f64 (+.f64 1 (/.f64 (*.f64 1/6 rand) (sqrt.f64 -1/3))) a (/.f64 (*.f64 1/48 (*.f64 rand (pow.f64 a 3))) (pow.f64 (sqrt.f64 -1/3) 5))))) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (+.f64 (*.f64 1/8 (/.f64 (*.f64 rand (*.f64 a a)) (sqrt.f64 -1/3))) (fma.f64 a (fma.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)) 1) (*.f64 1/48 (/.f64 rand (/.f64 (pow.f64 (sqrt.f64 -1/3) 5) (pow.f64 a 3))))))) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 a (fma.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)) 1) (fma.f64 1/48 (*.f64 rand (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) (*.f64 1/8 (/.f64 rand (/.f64 (sqrt.f64 -1/3) (*.f64 a a))))))) |
(+.f64 a (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 rand (sqrt.f64 -1/3)) (+.f64 (/.f64 (*.f64 a (*.f64 a -1/24)) -1/3) (*.f64 1/6 a)))))) |
(+.f64 a (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 rand (/.f64 a (sqrt.f64 -1/3))) (+.f64 1/6 (/.f64 (*.f64 a -1/24) -1/3)))))) |
a |
a |
a |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand) |
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) |
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)) |
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) |
(+.f64 a (*.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand)) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) |
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) |
(+.f64 a (*.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand)) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) |
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) |
(+.f64 a (*.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand)) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand) |
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) |
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)) |
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) |
(+.f64 a (*.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand)) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) |
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) |
(+.f64 a (*.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand)) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) |
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) |
(+.f64 a (*.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand)) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -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 | |
|---|---|---|---|---|
| 9.0ms | rand | @ | inf | (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3)))) |
| 2.0ms | a | @ | -inf | (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3))) |
| 2.0ms | a | @ | -inf | (*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (/.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))))) |
| 1.0ms | rand | @ | 0 | (/.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 | 48 |
| 1 | 323 | 46 |
| 2 | 4241 | 46 |
| 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))))) |
(+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 rand (/.f64 1 (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 rand (*.f64 1/3 (pow.f64 (+.f64 a -1/3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 rand 1/3) 2) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 rand 1/3) 2) (+.f64 a -1/3))) (cbrt.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 rand 1/3)) 2) (*.f64 (cbrt.f64 (*.f64 rand 1/3)) (pow.f64 (+.f64 a -1/3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) (sqrt.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 rand 1/3)) (*.f64 (sqrt.f64 (*.f64 rand 1/3)) (pow.f64 (+.f64 a -1/3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 rand -1/3) (/.f64 1 (neg.f64 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 a -1/3) -1/2) (*.f64 rand 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 rand) 2) (sqrt.f64 (+.f64 a -1/3))) (/.f64 (cbrt.f64 rand) 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 rand 1) (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 rand 1/3)) 2) 1) (/.f64 (cbrt.f64 (*.f64 rand 1/3)) (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 rand 1/3)) 1) (/.f64 (sqrt.f64 (*.f64 rand 1/3)) (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 rand (cbrt.f64 (+.f64 a -1/3))) (/.f64 1/3 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 a -1/3))) (/.f64 (*.f64 rand 1/3) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 rand 1/3)) 2) (cbrt.f64 (+.f64 a -1/3))) (cbrt.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 rand 1/3)) (cbrt.f64 (+.f64 a -1/3))) (/.f64 (sqrt.f64 (*.f64 rand 1/3)) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change 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(/.f64 (pow.f64 (*.f64 rand 1/3) 2) (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) 3)) (fma.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) (fma.f64 rand (*.f64 1/3 (pow.f64 (+.f64 a -1/3) -1/2)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) 3)) (+.f64 (/.f64 (pow.f64 (*.f64 rand 1/3) 2) (+.f64 a -1/3)) (-.f64 1 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (/.f64 (pow.f64 (*.f64 rand 1/3) 2) (+.f64 a -1/3))) (-.f64 1 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) 3))) (neg.f64 (fma.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) (fma.f64 rand (*.f64 1/3 (pow.f64 (+.f64 a -1/3) -1/2)) -1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (/.f64 (pow.f64 (*.f64 rand 1/3) 2) (+.f64 a -1/3)))) (neg.f64 (-.f64 1 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 (pow.f64 (*.f64 rand 1/3) 2) (+.f64 a -1/3)) 1) (fma.f64 rand (*.f64 1/3 (pow.f64 (+.f64 a -1/3) -1/2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 rand (/.f64 1 (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 rand (*.f64 1/3 (pow.f64 (+.f64 a -1/3) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 rand 1/3) 2) (+.f64 a -1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 rand 1/3) 2) (+.f64 a -1/3))) (cbrt.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 rand 1/3)) 2) (*.f64 (cbrt.f64 (*.f64 rand 1/3)) (pow.f64 (+.f64 a -1/3) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) (sqrt.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 rand 1/3)) (*.f64 (sqrt.f64 (*.f64 rand 1/3)) (pow.f64 (+.f64 a -1/3) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 rand -1/3) (/.f64 1 (neg.f64 (sqrt.f64 (+.f64 a -1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 a -1/3) -1/2) (*.f64 rand 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 rand) 2) (sqrt.f64 (+.f64 a -1/3))) (/.f64 (cbrt.f64 rand) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 rand) (sqrt.f64 (+.f64 a -1/3))) (/.f64 (sqrt.f64 rand) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 rand 1) (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 rand 1/3)) 2) 1) (/.f64 (cbrt.f64 (*.f64 rand 1/3)) (sqrt.f64 (+.f64 a -1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (*.f64 rand 1/3)) 1) (/.f64 (sqrt.f64 (*.f64 rand 1/3)) (sqrt.f64 (+.f64 a -1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 rand (cbrt.f64 (+.f64 a -1/3))) (/.f64 1/3 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (cbrt.f64 (+.f64 a -1/3))) (/.f64 (*.f64 rand 1/3) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 rand 1/3)) 2) (cbrt.f64 (+.f64 a -1/3))) (cbrt.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (*.f64 rand 1/3)) (cbrt.f64 (+.f64 a -1/3))) (/.f64 (sqrt.f64 (*.f64 rand 1/3)) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 rand (pow.f64 (+.f64 a -1/3) 1/4)) (/.f64 1/3 (pow.f64 (+.f64 a -1/3) 1/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (+.f64 a -1/3) 1/4)) (/.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) 1/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 rand 1/3)) 2) (pow.f64 (+.f64 a -1/3) 1/4)) (/.f64 (cbrt.f64 (*.f64 rand 1/3)) (pow.f64 (+.f64 a -1/3) 1/4)) 1))))) |
| 1× | egg-herbie |
| 932× | times-frac_binary64 |
| 829× | associate-/l*_binary64 |
| 405× | fma-def_binary64 |
| 349× | distribute-rgt-in_binary64 |
| 347× | distribute-lft-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 87 | 1171 |
| 1 | 249 | 1120 |
| 2 | 803 | 1104 |
| 3 | 3514 | 937 |
| 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) |
1 |
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))) |
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))) |
(+.f64 1 (*.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 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))) |
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))) |
(+.f64 1 (*.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 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))) |
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))) |
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))) |
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1) |
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 1 (*.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3))))) |
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 1 (+.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 1 (+.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))))))) |
1 |
1 |
| 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 (*.f64 a rand) (sqrt.f64 -3)))) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (*.f64 -3/2 (*.f64 (/.f64 a (sqrt.f64 -3)) rand))) |
(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 a (/.f64 (sqrt.f64 -3) -3/2)))) |
(+.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 (*.f64 a rand) (sqrt.f64 -3)) (*.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 (/.f64 a (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 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (/.f64 (sqrt.f64 -3) rand) -1/6)))))) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (*.f64 rand (+.f64 (/.f64 a (/.f64 (sqrt.f64 -3) -3/2)) (/.f64 -27/8 (/.f64 (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 (*.f64 a rand) (sqrt.f64 -3)) (*.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 (/.f64 (fma.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) -3) 81) (sqrt.f64 -3)) (*.f64 rand (pow.f64 a 3))) (fma.f64 -3/2 (*.f64 (/.f64 a (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 (pow.f64 a 3) (*.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 (*.f64 a a)) (sqrt.f64 -3)) (+.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 -1/6 (*.f64 (*.f64 rand (*.f64 a a)) (+.f64 (*.f64 (/.f64 405/8 (sqrt.f64 -3)) a) (/.f64 81/4 (sqrt.f64 -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 -1/9 rand) (sqrt.f64 -3) -1/3) |
(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 -1/9 rand) (sqrt.f64 -3) -1/3)) |
(+.f64 (*.f64 (fma.f64 (sqrt.f64 -3) (*.f64 1/3 rand) 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 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 (*.f64 a a) (fma.f64 -3/2 (/.f64 rand (sqrt.f64 -3)) (*.f64 1/18 (*.f64 (/.f64 rand (sqrt.f64 -3)) (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2))))) (fma.f64 (*.f64 -1/9 rand) (sqrt.f64 -3) -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 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 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand)) (*.f64 1/18 (*.f64 (/.f64 (fma.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) -3) 81) (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 rand (sqrt.f64 -3)) (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2))) (*.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))))) (fma.f64 (*.f64 a a) (fma.f64 -3/2 (/.f64 rand (sqrt.f64 -3)) (*.f64 1/18 (*.f64 (/.f64 rand (sqrt.f64 -3)) (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2))))) (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 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 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 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) -1/3)) |
(+.f64 a (fma.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand) -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 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) -1/3)) |
(+.f64 a (fma.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand) -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 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) -1/3)) |
(+.f64 a (fma.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand) -1/3)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 (*.f64 1/3 (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 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) -1/3)) |
(+.f64 a (fma.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand) -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 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) -1/3)) |
(+.f64 a (fma.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand) -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 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) -1/3)) |
(+.f64 a (fma.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand) -1/3)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 (*.f64 1/3 (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 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) -1/3)) |
(+.f64 a (fma.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand) -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 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) -1/3)) |
(+.f64 a (fma.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand) -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 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) -1/3)) |
(+.f64 a (fma.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand) -1/3)) |
1 |
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))) |
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))) |
(fma.f64 (*.f64 1/3 (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))) rand 1) |
(fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand) 1) |
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))) |
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))) |
(fma.f64 (*.f64 1/3 (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))) rand 1) |
(fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand) 1) |
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))) |
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))) |
(fma.f64 (*.f64 1/3 (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))) rand 1) |
(fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand) 1) |
(*.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 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))) |
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))) |
(fma.f64 (*.f64 1/3 (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))) rand 1) |
(fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand) 1) |
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))) |
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))) |
(fma.f64 (*.f64 1/3 (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))) rand 1) |
(fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand) 1) |
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))) |
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))) |
(fma.f64 (*.f64 1/3 (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))) rand 1) |
(fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand) 1) |
(*.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 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))) |
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))) |
(fma.f64 (*.f64 1/3 (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))) rand 1) |
(fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand) 1) |
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))) |
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))) |
(fma.f64 (*.f64 1/3 (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))) rand 1) |
(fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand) 1) |
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))) |
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))) |
(fma.f64 (*.f64 1/3 (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))) rand 1) |
(fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand) 1) |
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1) |
(fma.f64 (sqrt.f64 -3) (*.f64 1/3 rand) 1) |
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 1 (*.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3))))) |
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1) (*.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3)))) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 -3/2 (*.f64 (/.f64 a (sqrt.f64 -3)) rand) 1)) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 -3/2 (/.f64 a (/.f64 (sqrt.f64 -3) rand)) 1)) |
(fma.f64 -3/2 (*.f64 (/.f64 rand (sqrt.f64 -3)) a) (fma.f64 (sqrt.f64 -3) (*.f64 1/3 rand) 1)) |
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 1 (+.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 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1) (fma.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3)) (*.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) (*.f64 rand (*.f64 a a))))))) |
(+.f64 1 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 -3/2 (*.f64 (/.f64 a (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)) (fma.f64 -1/6 (*.f64 (/.f64 (*.f64 rand (*.f64 a a)) (sqrt.f64 -3)) (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2))) 1))) |
(+.f64 (*.f64 rand (+.f64 (/.f64 a (/.f64 (sqrt.f64 -3) -3/2)) (/.f64 -27/8 (/.f64 (sqrt.f64 -3) (*.f64 a a))))) (fma.f64 (sqrt.f64 -3) (*.f64 1/3 rand) 1)) |
(+.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 1 (+.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)))) (+.f64 1 (fma.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3)) (*.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) (*.f64 rand (*.f64 a a))))))))) |
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 -1/6 (*.f64 (/.f64 (fma.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) -3) 81) (sqrt.f64 -3)) (*.f64 rand (pow.f64 a 3))) (fma.f64 -3/2 (*.f64 (/.f64 a (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))))))) 1) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 -1/6 (*.f64 (pow.f64 a 3) (*.f64 rand (/.f64 (+.f64 81 (*.f64 -3/2 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)))) (sqrt.f64 -3)))) (fma.f64 -3/2 (/.f64 a (/.f64 (sqrt.f64 -3) rand)) (fma.f64 -1/6 (*.f64 (/.f64 (*.f64 rand (*.f64 a a)) (sqrt.f64 -3)) (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2))) 1)))) |
(+.f64 (fma.f64 -3/2 (*.f64 (/.f64 rand (sqrt.f64 -3)) a) (*.f64 -1/6 (*.f64 (*.f64 rand (*.f64 a a)) (+.f64 (*.f64 (/.f64 405/8 (sqrt.f64 -3)) a) (/.f64 81/4 (sqrt.f64 -3)))))) (fma.f64 (sqrt.f64 -3) (*.f64 1/3 rand) 1)) |
1 |
1 |
Compiled 16335 to 13053 computations (20.1% saved)
12 alts after pruning (7 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 743 | 6 | 749 |
| Fresh | 4 | 1 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 4 | 4 |
| Total | 747 | 12 | 759 |
| Status | Error | Program |
|---|---|---|
| ▶ | 43.0b | (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
| ▶ | 0.4b | (*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a))))) |
| ✓ | 43.1b | (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)) |
| ✓ | 0.1b | (*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3))))) |
| ▶ | 0.4b | (*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 (pow.f64 (*.f64 a 9) -1/2) rand))) |
| ✓ | 0.1b | (-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3) |
| ✓ | 20.8b | (-.f64 a 1/3) |
| 50.3b | (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) | |
| 21.6b | a | |
| ▶ | 60.2b | (sqrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/9 (*.f64 rand rand)))) |
| ▶ | 0.2b | (*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (*.f64 rand -1/3) (/.f64 1 (neg.f64 (sqrt.f64 (+.f64 a -1/3))))))) |
| ✓ | 0.1b | (*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand))) |
Compiled 242 to 195 computations (19.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (*.f64 rand -1/3) (/.f64 1 (neg.f64 (sqrt.f64 (+.f64 a -1/3))))))) |
| ✓ | 0.2b | (/.f64 1 (neg.f64 (sqrt.f64 (+.f64 a -1/3)))) |
| ✓ | 0.3b | (*.f64 (*.f64 rand -1/3) (/.f64 1 (neg.f64 (sqrt.f64 (+.f64 a -1/3))))) |
| ✓ | 0.3b | (*.f64 rand -1/3) |
Compiled 80 to 65 computations (18.8% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | a | @ | -inf | (/.f64 1 (neg.f64 (sqrt.f64 (+.f64 a -1/3)))) |
| 1.0ms | a | @ | inf | (/.f64 1 (neg.f64 (sqrt.f64 (+.f64 a -1/3)))) |
| 1.0ms | a | @ | -inf | (*.f64 (*.f64 rand -1/3) (/.f64 1 (neg.f64 (sqrt.f64 (+.f64 a -1/3))))) |
| 1.0ms | a | @ | -inf | (*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (*.f64 rand -1/3) (/.f64 1 (neg.f64 (sqrt.f64 (+.f64 a -1/3))))))) |
| 1.0ms | a | @ | 0 | (/.f64 1 (neg.f64 (sqrt.f64 (+.f64 a -1/3)))) |
| 1× | batch-egg-rewrite |
| 696× | log-prod_binary64 |
| 518× | fma-def_binary64 |
| 272× | fma-neg_binary64 |
| 254× | expm1-udef_binary64 |
| 254× | log1p-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 52 |
| 1 | 361 | 44 |
| 2 | 4676 | 44 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 rand -1/3) |
(*.f64 (*.f64 rand -1/3) (/.f64 1 (neg.f64 (sqrt.f64 (+.f64 a -1/3))))) |
(/.f64 1 (neg.f64 (sqrt.f64 (+.f64 a -1/3)))) |
(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (*.f64 rand -1/3) (/.f64 1 (neg.f64 (sqrt.f64 (+.f64 a -1/3))))))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 rand -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/3) rand)) (cbrt.f64 (pow.f64 (exp.f64 -1/3) rand)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/3) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/3) rand))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/3) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 rand -1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 rand -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 rand -1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 rand -1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 rand -1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 rand -1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/3) rand))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 rand -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 rand -1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 rand -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 rand -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 rand -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 rand -1/3)) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 rand (/.f64 -1/3 (sqrt.f64 (+.f64 -1/3 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 rand) (/.f64 -1/3 (sqrt.f64 (+.f64 -1/3 a))))) (cbrt.f64 (pow.f64 (exp.f64 rand) (/.f64 -1/3 (sqrt.f64 (+.f64 -1/3 a))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 rand) (/.f64 -1/3 (sqrt.f64 (+.f64 -1/3 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 rand) (/.f64 -1/3 (sqrt.f64 (+.f64 -1/3 a)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 rand) (/.f64 -1/3 (sqrt.f64 (+.f64 -1/3 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 rand (/.f64 -1/3 (sqrt.f64 (+.f64 -1/3 a))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) rand))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 rand -1/3) (sqrt.f64 (+.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (*.f64 rand -1/3)) 2) (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (cbrt.f64 (*.f64 rand -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 rand -1/3)) (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (sqrt.f64 (*.f64 rand -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 rand -1/3)) (sqrt.f64 (+.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 rand -1/3) (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 (*.f64 rand -1/3) 1) (sqrt.f64 (+.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 rand -1/3) (cbrt.f64 (+.f64 -1/3 a))) (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 rand -1/3) -1) (sqrt.f64 (+.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (*.f64 rand -1/3)) (sqrt.f64 (+.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 rand -1/3) -1) (sqrt.f64 (+.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 rand (/.f64 -1/3 (sqrt.f64 (+.f64 -1/3 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 rand (/.f64 -1/3 (sqrt.f64 (+.f64 -1/3 a))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 rand (/.f64 -1/3 (sqrt.f64 (+.f64 -1/3 a))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 rand (/.f64 -1/3 (sqrt.f64 (+.f64 -1/3 a)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (*.f64 rand -1/3) 2) (+.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 rand) (/.f64 -1/3 (sqrt.f64 (+.f64 -1/3 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 rand (/.f64 -1/3 (sqrt.f64 (+.f64 -1/3 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 rand (/.f64 -1/3 (sqrt.f64 (+.f64 -1/3 a)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 rand (/.f64 -1/3 (sqrt.f64 (+.f64 -1/3 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (*.f64 rand (/.f64 -1/3 (sqrt.f64 (+.f64 -1/3 a))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 rand (/.f64 -1/3 (sqrt.f64 (+.f64 -1/3 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 rand (/.f64 -1/3 (sqrt.f64 (+.f64 -1/3 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 rand (/.f64 -1/3 (sqrt.f64 (+.f64 -1/3 a))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 rand (/.f64 -1/3 (sqrt.f64 (+.f64 -1/3 a))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 rand (/.f64 -1/3 (sqrt.f64 (+.f64 -1/3 a))) 1) 1 -1)))) (#(struct:change 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(+.f64 -1/3 a))) 1)))))) |
| 1× | egg-herbie |
| 668× | associate-/r*_binary64 |
| 507× | distribute-rgt-in_binary64 |
| 505× | distribute-lft-in_binary64 |
| 405× | fma-def_binary64 |
| 400× | associate-/r/_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 97 | 983 |
| 1 | 274 | 949 |
| 2 | 865 | 936 |
| 3 | 4039 | 766 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/3 rand) |
(*.f64 -1/3 rand) |
(*.f64 -1/3 rand) |
(*.f64 -1/3 rand) |
(*.f64 -1/3 rand) |
(*.f64 -1/3 rand) |
(*.f64 -1/3 rand) |
(*.f64 -1/3 rand) |
(*.f64 -1/3 rand) |
(*.f64 -1/3 rand) |
(*.f64 -1/3 rand) |
(*.f64 -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 (*.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 (sqrt.f64 -3)) |
(+.f64 (*.f64 -1 (sqrt.f64 -3)) (*.f64 9/2 (/.f64 a (sqrt.f64 -3)))) |
(+.f64 (*.f64 -1 (sqrt.f64 -3)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 a 2)) (sqrt.f64 -3))) (*.f64 9/2 (/.f64 a (sqrt.f64 -3))))) |
(+.f64 (*.f64 -1 (sqrt.f64 -3)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 a 2)) (sqrt.f64 -3))) (+.f64 (*.f64 9/2 (/.f64 a (sqrt.f64 -3))) (*.f64 1/2 (/.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 -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 rand) |
(*.f64 -1/3 rand) |
(*.f64 -1/3 rand) |
(*.f64 -1/3 rand) |
(*.f64 -1/3 rand) |
(*.f64 -1/3 rand) |
(*.f64 -1/3 rand) |
(*.f64 -1/3 rand) |
(*.f64 -1/3 rand) |
(*.f64 -1/3 rand) |
(*.f64 -1/3 rand) |
(*.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 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))))) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) (*.f64 rand 1/3)) |
(*.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 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))))) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) (*.f64 rand 1/3)) |
(*.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 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))))) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) (*.f64 rand 1/3)) |
(*.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 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))))) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) (*.f64 rand 1/3)) |
(*.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 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))))) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) (*.f64 rand 1/3)) |
(*.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 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))))) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) (*.f64 rand 1/3)) |
(*.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 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))))) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) (*.f64 rand 1/3)) |
(*.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 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))))) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) (*.f64 rand 1/3)) |
(*.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 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))))) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) (*.f64 rand 1/3)) |
(*.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 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))))) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) (*.f64 rand 1/3)) |
(*.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 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))))) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) (*.f64 rand 1/3)) |
(*.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 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))))) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) (*.f64 rand 1/3)) |
(*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) |
(*.f64 (*.f64 1/3 rand) (sqrt.f64 -3)) |
(*.f64 rand (*.f64 (sqrt.f64 -3) 1/3)) |
(*.f64 rand (*.f64 1/3 (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 (*.f64 -3/2 (*.f64 rand a)) (sqrt.f64 -3))) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (*.f64 -3/2 (*.f64 (/.f64 a (sqrt.f64 -3)) rand))) |
(fma.f64 rand (*.f64 1/3 (sqrt.f64 -3)) (*.f64 -3/2 (*.f64 rand (/.f64 a (sqrt.f64 -3))))) |
(*.f64 rand (+.f64 (*.f64 1/3 (sqrt.f64 -3)) (*.f64 -3/2 (/.f64 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 rand (*.f64 a a))))))) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 -3/2 (*.f64 (/.f64 a (sqrt.f64 -3)) rand) (*.f64 -1/6 (*.f64 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3)) (*.f64 rand (*.f64 a a)))))) |
(fma.f64 rand (*.f64 1/3 (sqrt.f64 -3)) (fma.f64 -3/2 (*.f64 rand (/.f64 a (sqrt.f64 -3))) (*.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 rand (*.f64 1/3 (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 (/.f64 a (sqrt.f64 -3)) rand) (*.f64 -1/6 (*.f64 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3)) (*.f64 rand (*.f64 a a))))))) |
(fma.f64 rand (*.f64 1/3 (sqrt.f64 -3)) (fma.f64 -3/2 (*.f64 rand (/.f64 a (sqrt.f64 -3))) (*.f64 -1/6 (+.f64 (*.f64 (pow.f64 a 3) (*.f64 rand (/.f64 (+.f64 81 (*.f64 -3/2 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)))) (sqrt.f64 -3)))) (*.f64 (*.f64 rand (*.f64 a a)) (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3))))))) |
(fma.f64 rand (*.f64 1/3 (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 (sqrt.f64 -3)) |
(neg.f64 (sqrt.f64 -3)) |
(+.f64 (*.f64 -1 (sqrt.f64 -3)) (*.f64 9/2 (/.f64 a (sqrt.f64 -3)))) |
(fma.f64 -1 (sqrt.f64 -3) (*.f64 9/2 (/.f64 a (sqrt.f64 -3)))) |
(-.f64 (*.f64 9/2 (/.f64 a (sqrt.f64 -3))) (sqrt.f64 -3)) |
(-.f64 (*.f64 (/.f64 9/2 (sqrt.f64 -3)) a) (sqrt.f64 -3)) |
(+.f64 (*.f64 -1 (sqrt.f64 -3)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 a 2)) (sqrt.f64 -3))) (*.f64 9/2 (/.f64 a (sqrt.f64 -3))))) |
(fma.f64 -1 (sqrt.f64 -3) (fma.f64 1/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) (*.f64 a a))) (*.f64 9/2 (/.f64 a (sqrt.f64 -3))))) |
(-.f64 (fma.f64 9/2 (/.f64 a (sqrt.f64 -3)) (*.f64 1/2 (*.f64 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3)) (*.f64 a a)))) (sqrt.f64 -3)) |
(-.f64 (fma.f64 9/2 (/.f64 a (sqrt.f64 -3)) (*.f64 1/2 (*.f64 (*.f64 a a) (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3))))) (sqrt.f64 -3)) |
(-.f64 (*.f64 a (+.f64 (/.f64 9/2 (sqrt.f64 -3)) (*.f64 (/.f64 81/8 (sqrt.f64 -3)) a))) (sqrt.f64 -3)) |
(+.f64 (*.f64 -1 (sqrt.f64 -3)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 a 2)) (sqrt.f64 -3))) (+.f64 (*.f64 9/2 (/.f64 a (sqrt.f64 -3))) (*.f64 1/2 (/.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)))))) |
(fma.f64 -1 (sqrt.f64 -3) (fma.f64 1/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) (*.f64 a a))) (fma.f64 9/2 (/.f64 a (sqrt.f64 -3)) (*.f64 1/2 (/.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))))))) |
(-.f64 (fma.f64 1/2 (*.f64 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3)) (*.f64 a a)) (fma.f64 9/2 (/.f64 a (sqrt.f64 -3)) (*.f64 1/2 (/.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)))))) (sqrt.f64 -3)) |
(-.f64 (fma.f64 9/2 (/.f64 a (sqrt.f64 -3)) (*.f64 1/2 (+.f64 (*.f64 (*.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 81 (*.f64 -3/2 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)))) (sqrt.f64 -3)))))) (sqrt.f64 -3)) |
(-.f64 (fma.f64 9/2 (/.f64 a (sqrt.f64 -3)) (*.f64 (*.f64 a a) (+.f64 (/.f64 81/8 (sqrt.f64 -3)) (*.f64 (/.f64 405/16 (sqrt.f64 -3)) a)))) (sqrt.f64 -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 rand (*.f64 1/3 (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 rand (*.f64 1/3 (sqrt.f64 -3)) 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 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 rand (*.f64 1/3 (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 rand (*.f64 1/3 (sqrt.f64 -3)) 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 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 (/.f64 (fma.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) -3) 81) (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 rand (*.f64 1/3 (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 rand (/.f64 (+.f64 81 (*.f64 -3/2 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)))) (sqrt.f64 -3))))) (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 rand (*.f64 1/3 (sqrt.f64 -3)) 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 a (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 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 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a)) |
(+.f64 a (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 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 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a)) |
(+.f64 a (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 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 -1/3 a)))) |
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 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 -1/3 a))) a)) |
(+.f64 a (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 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 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a)) |
(+.f64 a (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 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 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a)) |
(+.f64 a (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 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 -1/3 a)))) |
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 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 -1/3 a))) a)) |
(+.f64 a (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 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 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a)) |
(+.f64 a (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 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 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a)) |
(+.f64 a (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3) -1/3)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (sqrt.f64 (-.f64 a 1/3)) | |
| 0.3b | (*.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 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.5b | (*.f64 1/9 (*.f64 rand rand)) |
| ✓ | 8.7b | (*.f64 (+.f64 a -1/3) (*.f64 1/9 (*.f64 rand rand))) |
| ✓ | 24.7b | (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 | |
|---|---|---|---|---|
| 3.0ms | rand | @ | inf | (sqrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/9 (*.f64 rand rand)))) |
| 1.0ms | a | @ | -inf | (sqrt.f64 (*.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 | @ | 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× | 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 (*.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))) (cbrt.f64 (*.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))) (sqrt.f64 (*.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 1/9)) rand)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)) 1/9) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))) 6) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)) 1/9)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/2) (log.f64 (*.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))))) 2)) (cbrt.f64 (log.f64 (*.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))))) (sqrt.f64 (log.f64 (*.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (cbrt.f64 (exp.f64 rand)) (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)) 1/9)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)) 1/9)) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)) 1/9)) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))) 1) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (*.f64 1/9 (*.f64 rand rand))) (*.f64 -1/3 (*.f64 1/9 (*.f64 rand rand))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/3 (*.f64 1/9 (*.f64 rand rand))) (*.f64 a (*.f64 1/9 (*.f64 rand rand))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/9 (*.f64 rand rand)) a) (*.f64 (*.f64 1/9 (*.f64 rand rand)) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/9 (*.f64 rand rand)) -1/3) (*.f64 (*.f64 1/9 (*.f64 rand rand)) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/9) (*.f64 (*.f64 rand rand) (+.f64 a -1/3)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/9) (*.f64 (*.f64 rand rand) (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/9) (*.f64 (*.f64 rand rand) (+.f64 a -1/3))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/9) (*.f64 (*.f64 rand rand) (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)) 1/9))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (*.f64 1/9 (*.f64 rand rand))) (-.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) (*.f64 1/9 (*.f64 rand rand))) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 1/9 (*.f64 rand rand)) (+.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 (*.f64 1/9 (*.f64 rand rand)) (fma.f64 a a -1/9)) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)) 1/9) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))) 3) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)) 1/9)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)) 1/9))) 2)) (cbrt.f64 (log.f64 (*.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)) 1/9)))) (sqrt.f64 (log.f64 (*.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/9) (*.f64 (*.f64 rand rand) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)) 1/9)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))) 4)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)) 1/9))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)) 1/9)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)) 1/9)) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 a -1/3)) 1) (log.f64 (*.f64 1/9 (*.f64 rand rand)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (+.f64 a -1/3)) (*.f64 (log.f64 (*.f64 1/9 (*.f64 rand rand))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 a -1/3)) 1) (*.f64 (log.f64 (*.f64 1/9 (*.f64 rand rand))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 rand) 2) (log.f64 (*.f64 (+.f64 a -1/3) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 rand rand)) 1) (log.f64 (*.f64 (+.f64 a -1/3) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 1/9 (*.f64 rand rand))) 1) (log.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (*.f64 1/9 (*.f64 rand rand))) (*.f64 (log.f64 (+.f64 a -1/3)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 1/9 (*.f64 rand rand))) 1) (*.f64 (log.f64 (+.f64 a -1/3)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)) 1/9)) 1/2) (log.f64 (*.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))) 1) (log.f64 (*.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (*.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))) (*.f64 (log.f64 (*.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)) 1/9)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)) 1/9)) 1/2) (*.f64 (log.f64 (*.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)) 1/9)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))) 1) (*.f64 (log.f64 (*.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)) 1/9)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (*.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))) (*.f64 (log.f64 (*.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)) 1/9)) 1/2) (*.f64 (log.f64 (*.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))) 1) (*.f64 (log.f64 (*.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (*.f64 (+.f64 a -1/3) 1/9)) (*.f64 (log.f64 rand) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (*.f64 (+.f64 a -1/3) 1/9)) (*.f64 (log.f64 (*.f64 rand rand)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a (*.f64 1/9 (*.f64 rand rand)) (*.f64 -1/3 (*.f64 1/9 (*.f64 rand rand))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/3 (*.f64 1/9 (*.f64 rand rand)) (*.f64 a (*.f64 1/9 (*.f64 rand rand))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/9 (*.f64 rand rand)) a (*.f64 (*.f64 1/9 (*.f64 rand rand)) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/9 (*.f64 rand rand)) -1/3 (*.f64 (*.f64 1/9 (*.f64 rand rand)) a)))))) |
((#(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 1 (/.f64 rand (sqrt.f64 (*.f64 9 a)))) |
| ✓ | 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)
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 134.0ms | rand | @ | 0 | (*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a))))) |
| 7.0ms | a | @ | inf | (sqrt.f64 (*.f64 9 a)) |
| 2.0ms | a | @ | 0 | (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a)))) |
| 1.0ms | rand | @ | 0 | (/.f64 rand (sqrt.f64 (*.f64 9 a))) |
| 1.0ms | a | @ | 0 | (/.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 | 45 |
| 1 | 267 | 41 |
| 2 | 3611 | 41 |
| 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))))) |
(+.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 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(pow.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 rand rand)) (*.f64 (cbrt.f64 rand) (/.f64 1/3 (sqrt.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (cbrt.f64 (/.f64 (*.f64 rand rand) (*.f64 9 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 (*.f64 rand rand) (*.f64 9 a))) (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 rand) (*.f64 (sqrt.f64 rand) (/.f64 1/3 (sqrt.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 rand) (/.f64 1 (*.f64 -3 (sqrt.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (*.f64 rand rand)) 1) (/.f64 (cbrt.f64 rand) (*.f64 3 (sqrt.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 rand) 1) (/.f64 (sqrt.f64 rand) (*.f64 3 (sqrt.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (cbrt.f64 (*.f64 9 a))) (/.f64 rand (cbrt.f64 (*.f64 3 (sqrt.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (*.f64 rand rand)) (cbrt.f64 (*.f64 9 a))) (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 rand) (cbrt.f64 (*.f64 9 a))) (/.f64 (sqrt.f64 rand) (cbrt.f64 (*.f64 3 (sqrt.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (*.f64 9 a) 1/4)) (/.f64 rand (pow.f64 (*.f64 9 a) 1/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.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)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (*.f64 rand rand)) 3) (/.f64 (cbrt.f64 rand) (sqrt.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 rand) 3) (/.f64 (sqrt.f64 rand) (sqrt.f64 a)) 1))))) |
| 1× | egg-herbie |
| 2344× | fma-neg_binary64 |
| 524× | fma-def_binary64 |
| 279× | distribute-rgt-in_binary64 |
| 262× | distribute-rgt-neg-in_binary64 |
| 230× | unsub-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 564 |
| 1 | 37 | 528 |
| 2 | 81 | 528 |
| 3 | 220 | 497 |
| 4 | 562 | 497 |
| 5 | 878 | 497 |
| 6 | 1462 | 497 |
| 7 | 2789 | 497 |
| 8 | 4738 | 497 |
| 9 | 5190 | 497 |
| 10 | 5298 | 497 |
| 11 | 5308 | 497 |
| 12 | 5308 | 497 |
| 13 | 5312 | 497 |
| 14 | 6949 | 497 |
| 15 | 6949 | 497 |
| 16 | 6949 | 497 |
| 17 | 6949 | 497 |
| 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) |
1 |
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))) |
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))) |
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))) |
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))) |
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))) |
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))) |
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))) |
1 |
1 |
| 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 a (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) -1/3)) |
(+.f64 a (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 -1/9 (*.f64 1/3 a))) -1/3)) |
(*.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1) (+.f64 a -1/3)) |
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1)) |
(*.f64 (-.f64 1/3 a) (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand -1/3) -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 a (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) -1/3)) |
(+.f64 a (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 -1/9 (*.f64 1/3 a))) -1/3)) |
(*.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1) (+.f64 a -1/3)) |
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1)) |
(*.f64 (-.f64 1/3 a) (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand -1/3) -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 a (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) -1/3)) |
(+.f64 a (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 -1/9 (*.f64 1/3 a))) -1/3)) |
(*.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1) (+.f64 a -1/3)) |
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1)) |
(*.f64 (-.f64 1/3 a) (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand -1/3) -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 a (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) -1/3)) |
(+.f64 a (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 -1/9 (*.f64 1/3 a))) -1/3)) |
(*.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1) (+.f64 a -1/3)) |
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1)) |
(*.f64 (-.f64 1/3 a) (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand -1/3) -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 a (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) -1/3)) |
(+.f64 a (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 -1/9 (*.f64 1/3 a))) -1/3)) |
(*.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1) (+.f64 a -1/3)) |
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1)) |
(*.f64 (-.f64 1/3 a) (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand -1/3) -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 a (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) -1/3)) |
(+.f64 a (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 -1/9 (*.f64 1/3 a))) -1/3)) |
(*.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1) (+.f64 a -1/3)) |
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1)) |
(*.f64 (-.f64 1/3 a) (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand -1/3) -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 a (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) -1/3)) |
(+.f64 a (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 -1/9 (*.f64 1/3 a))) -1/3)) |
(*.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1) (+.f64 a -1/3)) |
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1)) |
(*.f64 (-.f64 1/3 a) (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand -1/3) -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 a (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) -1/3)) |
(+.f64 a (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 -1/9 (*.f64 1/3 a))) -1/3)) |
(*.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1) (+.f64 a -1/3)) |
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1)) |
(*.f64 (-.f64 1/3 a) (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand -1/3) -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 a (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) -1/3)) |
(+.f64 a (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 -1/9 (*.f64 1/3 a))) -1/3)) |
(*.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1) (+.f64 a -1/3)) |
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1)) |
(*.f64 (-.f64 1/3 a) (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand -1/3) -1)) |
1 |
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))) |
(fma.f64 (*.f64 1/3 (sqrt.f64 (/.f64 1 a))) rand 1) |
(fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1) |
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))) |
(fma.f64 (*.f64 1/3 (sqrt.f64 (/.f64 1 a))) rand 1) |
(fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1) |
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))) |
(fma.f64 (*.f64 1/3 (sqrt.f64 (/.f64 1 a))) rand 1) |
(fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))) |
(fma.f64 (*.f64 1/3 (sqrt.f64 (/.f64 1 a))) rand 1) |
(fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1) |
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))) |
(fma.f64 (*.f64 1/3 (sqrt.f64 (/.f64 1 a))) rand 1) |
(fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1) |
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))) |
(fma.f64 (*.f64 1/3 (sqrt.f64 (/.f64 1 a))) rand 1) |
(fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))) |
(fma.f64 (*.f64 1/3 (sqrt.f64 (/.f64 1 a))) rand 1) |
(fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1) |
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))) |
(fma.f64 (*.f64 1/3 (sqrt.f64 (/.f64 1 a))) rand 1) |
(fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1) |
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))) |
(fma.f64 (*.f64 1/3 (sqrt.f64 (/.f64 1 a))) rand 1) |
(fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1) |
1 |
1 |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 1 (*.f64 (pow.f64 (*.f64 a 9) -1/2) rand)) |
| ✓ | 0.1b | (*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 (pow.f64 (*.f64 a 9) -1/2) rand))) |
| ✓ | 0.1b | (pow.f64 (*.f64 a 9) -1/2) |
| ✓ | 0.2b | (*.f64 (pow.f64 (*.f64 a 9) -1/2) rand) |
Compiled 48 to 36 computations (25% saved)
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 30.0ms | a | @ | 0 | (pow.f64 (*.f64 a 9) -1/2) |
| 12.0ms | a | @ | inf | (pow.f64 (*.f64 a 9) -1/2) |
| 12.0ms | a | @ | -inf | (pow.f64 (*.f64 a 9) -1/2) |
| 4.0ms | a | @ | 0 | (*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 (pow.f64 (*.f64 a 9) -1/2) rand))) |
| 1.0ms | a | @ | -inf | (*.f64 (pow.f64 (*.f64 a 9) -1/2) rand) |
| 1× | batch-egg-rewrite |
| 618× | log-prod_binary64 |
| 559× | prod-diff_binary64 |
| 390× | fma-def_binary64 |
| 242× | pow1/3_binary64 |
| 241× | expm1-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 49 |
| 1 | 290 | 45 |
| 2 | 3662 | 45 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (pow.f64 (*.f64 a 9) -1/2) rand) |
(pow.f64 (*.f64 a 9) -1/2) |
(*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 (pow.f64 (*.f64 a 9) -1/2) rand))) |
(+.f64 1 (*.f64 (pow.f64 (*.f64 a 9) -1/2) rand)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 (*.f64 a 9) -1/2) rand))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (*.f64 a 9) -1/2)) rand)) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (*.f64 a 9) -1/2)) rand)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (*.f64 a 9) -1/2)) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (*.f64 a 9) -1/2)) rand))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (*.f64 a 9) -1/2)) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (pow.f64 (*.f64 a 9) -1/2) rand 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 a 9) -1/2) rand) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 a 9) -1/2) rand)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 rand) (pow.f64 (*.f64 a 9) -1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 a 9) -1/2) rand) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (*.f64 a 9) -1) (*.f64 rand rand)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 (*.f64 a 9) -1/2)) rand))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (*.f64 a 9) -1/2) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 a 9) -1/2) rand) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (*.f64 a 9) -1/2) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (*.f64 (pow.f64 (*.f64 a 9) -1/2) rand)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (*.f64 a 9) -1/2) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 (*.f64 a 9) -1/2) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (*.f64 a 9) -1/2) rand)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 (pow.f64 (*.f64 a 9) -1/2) rand 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 (*.f64 a 9) -1/2) rand 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 (pow.f64 (*.f64 a 9) -1/2) rand 1)) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (*.f64 a 9) -1/2) rand 1)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (*.f64 a 9) -1/2) rand 1)) 2) (cbrt.f64 (fma.f64 (pow.f64 (*.f64 a 9) -1/2) rand 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (pow.f64 (*.f64 a 9) -1/2) rand 1)) (sqrt.f64 (fma.f64 (pow.f64 (*.f64 a 9) -1/2) rand 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (*.f64 (pow.f64 (*.f64 a 9) -1/2) rand) 3)) (/.f64 1 (fma.f64 (*.f64 (pow.f64 (*.f64 a 9) -1/2) rand) (fma.f64 (pow.f64 (*.f64 a 9) -1/2) rand -1) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (*.f64 (pow.f64 (*.f64 a 9) -1) (*.f64 rand rand))) (/.f64 1 (-.f64 1 (*.f64 (pow.f64 (*.f64 a 9) -1/2) rand))) -1))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (*.f64 a 9) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 a 9) -1/2))) (cbrt.f64 (exp.f64 (pow.f64 (*.f64 a 9) -1/2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 a 9) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 a 9) -1/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 a 9) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 a 9) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 a 9) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 a 9) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 a 9) -1/2)) (cbrt.f64 (pow.f64 (*.f64 a 9) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 a 9) -1)) (cbrt.f64 (pow.f64 (*.f64 a 9) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a -1/2) (pow.f64 9 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 9 -1/2) (pow.f64 a -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 a 9) -1/4) (pow.f64 (*.f64 a 9) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 -1/2) (pow.f64 (*.f64 a 9) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 a 9)) 2) -1/2) (pow.f64 (cbrt.f64 (*.f64 a 9)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 a 9)) -1/2) (pow.f64 (sqrt.f64 (*.f64 a 9)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a 9) -1))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 a 9) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 a 9) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (*.f64 a 9) -1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 a 9) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 a 9) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -1/2 (log.f64 (*.f64 a 9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (*.f64 a 9))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 a (+.f64 -1/3 (*.f64 (pow.f64 (*.f64 a 9) -1/2) (*.f64 rand (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 a -1/3) (*.f64 (pow.f64 (*.f64 a 9) -1/2) (*.f64 rand (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 a -1/3) (*.f64 (*.f64 (pow.f64 (*.f64 a 9) -1/2) (*.f64 rand (+.f64 a -1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (*.f64 a 9) -1/2) rand 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (*.f64 a 9) -1/2) (*.f64 rand (+.f64 a -1/3))) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (fma.f64 (pow.f64 (*.f64 a 9) -1/2) rand 1)) (*.f64 -1/3 (fma.f64 (pow.f64 (*.f64 a 9) -1/2) rand 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 a 9) -1/2) rand 1) a) (*.f64 (fma.f64 (pow.f64 (*.f64 a 9) -1/2) rand 1) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (fma.f64 (pow.f64 (*.f64 a 9) -1/2) rand 1))) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (fma.f64 (pow.f64 (*.f64 a 9) -1/2) rand 1))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (fma.f64 (pow.f64 (*.f64 a 9) -1/2) rand 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (fma.f64 (pow.f64 (*.f64 a 9) -1/2) rand 1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (fma.f64 (pow.f64 (*.f64 a 9) -1/2) rand 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 a (-.f64 1/3 (*.f64 (pow.f64 (*.f64 a 9) -1/2) (*.f64 rand (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (*.f64 a 9) -1/2) rand 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) (+.f64 1 (pow.f64 (*.f64 (pow.f64 (*.f64 a 9) -1/2) rand) 3))) (*.f64 (fma.f64 a a (fma.f64 a 1/3 1/9)) (fma.f64 (*.f64 (pow.f64 (*.f64 a 9) -1/2) rand) (fma.f64 (pow.f64 (*.f64 a 9) -1/2) rand -1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 a a -1/9) (+.f64 1 (pow.f64 (*.f64 (pow.f64 (*.f64 a 9) -1/2) rand) 3))) (*.f64 (+.f64 a 1/3) (fma.f64 (*.f64 (pow.f64 (*.f64 a 9) -1/2) rand) (fma.f64 (pow.f64 (*.f64 a 9) -1/2) rand -1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) (-.f64 1 (*.f64 (pow.f64 (*.f64 a 9) -1) (*.f64 rand rand)))) (*.f64 (fma.f64 a a (fma.f64 a 1/3 1/9)) (-.f64 1 (*.f64 (pow.f64 (*.f64 a 9) -1/2) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 a a -1/9) (-.f64 1 (*.f64 (pow.f64 (*.f64 a 9) -1) (*.f64 rand rand)))) (*.f64 (+.f64 a 1/3) (-.f64 1 (*.f64 (pow.f64 (*.f64 a 9) -1/2) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 (pow.f64 (*.f64 a 9) -1/2) rand) 3)) (+.f64 (pow.f64 a 3) -1/27)) (*.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 a 9) -1/2) rand) (fma.f64 (pow.f64 (*.f64 a 9) -1/2) rand -1) 1) (fma.f64 a a (fma.f64 a 1/3 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (*.f64 a 9) -1) (*.f64 rand rand))) (+.f64 (pow.f64 a 3) -1/27)) (*.f64 (-.f64 1 (*.f64 (pow.f64 (*.f64 a 9) -1/2) rand)) (fma.f64 a a (fma.f64 a 1/3 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 (pow.f64 (*.f64 a 9) -1/2) rand) 3)) (fma.f64 a a -1/9)) (*.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 a 9) -1/2) rand) (fma.f64 (pow.f64 (*.f64 a 9) -1/2) rand -1) 1) (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (*.f64 a 9) -1) (*.f64 rand rand))) (fma.f64 a a -1/9)) (*.f64 (-.f64 1 (*.f64 (pow.f64 (*.f64 a 9) -1/2) rand)) (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 (*.f64 (pow.f64 (*.f64 a 9) -1/2) (*.f64 rand (+.f64 a -1/3))) 3)) (+.f64 (pow.f64 (+.f64 a -1/3) 2) (-.f64 (*.f64 (*.f64 (pow.f64 (*.f64 a 9) -1/2) (*.f64 rand (+.f64 a -1/3))) (*.f64 (pow.f64 (*.f64 a 9) -1/2) (*.f64 rand (+.f64 a -1/3)))) (*.f64 (+.f64 a -1/3) (*.f64 (pow.f64 (*.f64 a 9) -1/2) (*.f64 rand (+.f64 a -1/3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 a -1/3) 2) (*.f64 (*.f64 (pow.f64 (*.f64 a 9) -1/2) (*.f64 rand (+.f64 a -1/3))) (*.f64 (pow.f64 (*.f64 a 9) -1/2) (*.f64 rand (+.f64 a -1/3))))) (-.f64 (+.f64 a -1/3) (*.f64 (pow.f64 (*.f64 a 9) -1/2) (*.f64 rand (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 (pow.f64 (*.f64 a 9) -1/2) rand 1)) (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) (fma.f64 (pow.f64 (*.f64 a 9) -1/2) rand 1)) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 (pow.f64 (*.f64 a 9) -1/2) rand) 3)) (+.f64 a -1/3)) (fma.f64 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egg-rr> (2) ((x pow.f64 (fma.f64 (pow.f64 (*.f64 a 9) -1/2) rand 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (pow.f64 (*.f64 a 9) -1/2) rand 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (*.f64 a 9) -1/2) rand 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (pow.f64 (*.f64 a 9) -1/2) rand 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 a 9) -1/2) rand) (fma.f64 (pow.f64 (*.f64 a 9) -1/2) rand -1) 1) (+.f64 1 (pow.f64 (*.f64 (pow.f64 (*.f64 a 9) -1/2) rand) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 (*.f64 (pow.f64 (*.f64 a 9) -1/2) rand)) (-.f64 1 (*.f64 (pow.f64 (*.f64 a 9) -1) (*.f64 rand rand)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (pow.f64 (*.f64 a 9) -1/2) rand 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (pow.f64 (*.f64 a 9) -1/2) rand 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (pow.f64 (*.f64 a 9) -1/2) rand 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (*.f64 a 9) -1/2) rand 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (pow.f64 (*.f64 a 9) -1/2) rand 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (pow.f64 (*.f64 a 9) -1/2) rand 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (*.f64 (pow.f64 (*.f64 a 9) -1/2) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 (pow.f64 (*.f64 a 9) -1/2) rand)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 a 9) -1/2) rand 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 rand (pow.f64 (*.f64 a 9) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 (*.f64 a 9) -1/2) rand) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (pow.f64 (*.f64 a 9) -1/2) rand) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 a 9) -1/2) rand)) (cbrt.f64 (*.f64 (pow.f64 (*.f64 a 9) -1) (*.f64 rand rand))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 a 9) -1) (*.f64 rand rand))) (cbrt.f64 (*.f64 (pow.f64 (*.f64 a 9) -1/2) rand)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 a 9) -1)) (*.f64 (cbrt.f64 (pow.f64 (*.f64 a 9) -1/2)) rand) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 rand) 2) (*.f64 (cbrt.f64 rand) (pow.f64 (*.f64 a 9) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 rand) (pow.f64 (*.f64 a 9) -1/4)) (*.f64 (sqrt.f64 rand) (pow.f64 (*.f64 a 9) -1/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 rand) (*.f64 (sqrt.f64 rand) (pow.f64 (*.f64 a 9) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 a -1/2) (*.f64 (pow.f64 9 -1/2) rand) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 a 9) -1/4) (*.f64 (pow.f64 (*.f64 a 9) -1/4) rand) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 (*.f64 a 9) -1/2) (pow.f64 (cbrt.f64 rand) 2)) (cbrt.f64 rand) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 (*.f64 a 9) -1/2) (sqrt.f64 rand)) (sqrt.f64 rand) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 rand (cbrt.f64 (pow.f64 (*.f64 a 9) -1))) (cbrt.f64 (pow.f64 (*.f64 a 9) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 rand (pow.f64 (*.f64 a 9) -1/4)) (pow.f64 (*.f64 a 9) -1/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 rand (pow.f64 a -1/2)) (pow.f64 9 -1/2) 1))))) |
| 1× | egg-herbie |
| 581× | associate-/r*_binary64 |
| 351× | fma-neg_binary64 |
| 310× | unswap-sqr_binary64 |
| 307× | fma-def_binary64 |
| 269× | associate-/l*_binary64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 720 |
| 1 | 94 | 684 |
| 2 | 224 | 648 |
| 3 | 528 | 513 |
| 4 | 1283 | 513 |
| 5 | 3183 | 479 |
| 1× | node limit |
| 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)) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 9) (log.f64 a)))) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 9) (log.f64 a)))) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 9) (log.f64 a)))) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 9) (log.f64 a)))) |
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) |
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) |
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) |
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) |
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) |
1 |
1 |
1 |
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))) |
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))) |
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))) |
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))) |
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))) |
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))) |
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))) |
| Outputs |
|---|
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
(*.f64 1/3 (*.f64 (pow.f64 a -1/2) rand)) |
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
(*.f64 1/3 (*.f64 (pow.f64 a -1/2) rand)) |
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
(*.f64 1/3 (*.f64 (pow.f64 a -1/2) rand)) |
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
(*.f64 1/3 (*.f64 (pow.f64 a -1/2) rand)) |
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
(*.f64 1/3 (*.f64 (pow.f64 a -1/2) rand)) |
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
(*.f64 1/3 (*.f64 (pow.f64 a -1/2) rand)) |
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
(*.f64 1/3 (*.f64 (pow.f64 a -1/2) rand)) |
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
(*.f64 1/3 (*.f64 (pow.f64 a -1/2) rand)) |
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
(*.f64 1/3 (*.f64 (pow.f64 a -1/2) rand)) |
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
(*.f64 1/3 (*.f64 (pow.f64 a -1/2) rand)) |
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
(*.f64 1/3 (*.f64 (pow.f64 a -1/2) rand)) |
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
(*.f64 1/3 (*.f64 (pow.f64 a -1/2) rand)) |
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 9) (log.f64 a)))) |
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 9) (log.f64 a))) |
(*.f64 (pow.f64 9 -1/2) (pow.f64 a -1/2)) |
(pow.f64 (*.f64 a 9) -1/2) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 9) (log.f64 a)))) |
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 9) (log.f64 a))) |
(*.f64 (pow.f64 9 -1/2) (pow.f64 a -1/2)) |
(pow.f64 (*.f64 a 9) -1/2) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 9) (log.f64 a)))) |
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 9) (log.f64 a))) |
(*.f64 (pow.f64 9 -1/2) (pow.f64 a -1/2)) |
(pow.f64 (*.f64 a 9) -1/2) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 9) (log.f64 a)))) |
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 9) (log.f64 a))) |
(*.f64 (pow.f64 9 -1/2) (pow.f64 a -1/2)) |
(pow.f64 (*.f64 a 9) -1/2) |
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) |
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 9) (log.f64 a))) |
(*.f64 (pow.f64 9 -1/2) (pow.f64 a -1/2)) |
(pow.f64 (*.f64 a 9) -1/2) |
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) |
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 9) (log.f64 a))) |
(*.f64 (pow.f64 9 -1/2) (pow.f64 a -1/2)) |
(pow.f64 (*.f64 a 9) -1/2) |
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) |
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 9) (log.f64 a))) |
(*.f64 (pow.f64 9 -1/2) (pow.f64 a -1/2)) |
(pow.f64 (*.f64 a 9) -1/2) |
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) |
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 9) (log.f64 a))) |
(*.f64 (pow.f64 9 -1/2) (pow.f64 a -1/2)) |
(pow.f64 (*.f64 a 9) -1/2) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) |
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 9) (log.f64 a))) |
(*.f64 (pow.f64 9 -1/2) (pow.f64 a -1/2)) |
(pow.f64 (*.f64 a 9) -1/2) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) |
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 9) (log.f64 a))) |
(*.f64 (pow.f64 9 -1/2) (pow.f64 a -1/2)) |
(pow.f64 (*.f64 a 9) -1/2) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) |
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 9) (log.f64 a))) |
(*.f64 (pow.f64 9 -1/2) (pow.f64 a -1/2)) |
(pow.f64 (*.f64 a 9) -1/2) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) |
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 9) (log.f64 a))) |
(*.f64 (pow.f64 9 -1/2) (pow.f64 a -1/2)) |
(pow.f64 (*.f64 a 9) -1/2) |
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 a (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) -1/3)) |
(fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (+.f64 a -1/3)) |
(*.f64 (fma.f64 (pow.f64 a -1/2) (*.f64 1/3 rand) 1) (+.f64 a -1/3)) |
(*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 a -1/2) (*.f64 1/3 rand) 1)) |
(*.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) (+.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 a (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) -1/3)) |
(fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (+.f64 a -1/3)) |
(*.f64 (fma.f64 (pow.f64 a -1/2) (*.f64 1/3 rand) 1) (+.f64 a -1/3)) |
(*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 a -1/2) (*.f64 1/3 rand) 1)) |
(*.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) (+.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 a (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) -1/3)) |
(fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (+.f64 a -1/3)) |
(*.f64 (fma.f64 (pow.f64 a -1/2) (*.f64 1/3 rand) 1) (+.f64 a -1/3)) |
(*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 a -1/2) (*.f64 1/3 rand) 1)) |
(*.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) (+.f64 a -1/3)) |
(*.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 (+.f64 a -1/3) (*.f64 1/3 rand))) |
(*.f64 (pow.f64 a -1/2) (*.f64 rand (fma.f64 1/3 a -1/9))) |
(*.f64 (/.f64 rand (sqrt.f64 a)) (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 a (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) -1/3)) |
(fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (+.f64 a -1/3)) |
(*.f64 (fma.f64 (pow.f64 a -1/2) (*.f64 1/3 rand) 1) (+.f64 a -1/3)) |
(*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 a -1/2) (*.f64 1/3 rand) 1)) |
(*.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) (+.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 a (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) -1/3)) |
(fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (+.f64 a -1/3)) |
(*.f64 (fma.f64 (pow.f64 a -1/2) (*.f64 1/3 rand) 1) (+.f64 a -1/3)) |
(*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 a -1/2) (*.f64 1/3 rand) 1)) |
(*.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) (+.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 a (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) -1/3)) |
(fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (+.f64 a -1/3)) |
(*.f64 (fma.f64 (pow.f64 a -1/2) (*.f64 1/3 rand) 1) (+.f64 a -1/3)) |
(*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 a -1/2) (*.f64 1/3 rand) 1)) |
(*.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) (+.f64 a -1/3)) |
(*.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 (+.f64 a -1/3) (*.f64 1/3 rand))) |
(*.f64 (pow.f64 a -1/2) (*.f64 rand (fma.f64 1/3 a -1/9))) |
(*.f64 (/.f64 rand (sqrt.f64 a)) (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 a (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) -1/3)) |
(fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (+.f64 a -1/3)) |
(*.f64 (fma.f64 (pow.f64 a -1/2) (*.f64 1/3 rand) 1) (+.f64 a -1/3)) |
(*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 a -1/2) (*.f64 1/3 rand) 1)) |
(*.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) (+.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 a (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) -1/3)) |
(fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (+.f64 a -1/3)) |
(*.f64 (fma.f64 (pow.f64 a -1/2) (*.f64 1/3 rand) 1) (+.f64 a -1/3)) |
(*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 a -1/2) (*.f64 1/3 rand) 1)) |
(*.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) (+.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 a (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) -1/3)) |
(fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (+.f64 a -1/3)) |
(*.f64 (fma.f64 (pow.f64 a -1/2) (*.f64 1/3 rand) 1) (+.f64 a -1/3)) |
(*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 a -1/2) (*.f64 1/3 rand) 1)) |
(*.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) (+.f64 a -1/3)) |
1 |
1 |
1 |
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))) |
(fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1) |
(fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 1/3 rand) 1) |
(fma.f64 (pow.f64 a -1/2) (*.f64 1/3 rand) 1) |
(fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) |
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))) |
(fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1) |
(fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 1/3 rand) 1) |
(fma.f64 (pow.f64 a -1/2) (*.f64 1/3 rand) 1) |
(fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) |
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))) |
(fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1) |
(fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 1/3 rand) 1) |
(fma.f64 (pow.f64 a -1/2) (*.f64 1/3 rand) 1) |
(fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
(*.f64 1/3 (*.f64 (pow.f64 a -1/2) rand)) |
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) |
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))) |
(fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1) |
(fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 1/3 rand) 1) |
(fma.f64 (pow.f64 a -1/2) (*.f64 1/3 rand) 1) |
(fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) |
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))) |
(fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1) |
(fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 1/3 rand) 1) |
(fma.f64 (pow.f64 a -1/2) (*.f64 1/3 rand) 1) |
(fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) |
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))) |
(fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1) |
(fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 1/3 rand) 1) |
(fma.f64 (pow.f64 a -1/2) (*.f64 1/3 rand) 1) |
(fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
(*.f64 1/3 (*.f64 (pow.f64 a -1/2) rand)) |
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) |
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))) |
(fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1) |
(fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 1/3 rand) 1) |
(fma.f64 (pow.f64 a -1/2) (*.f64 1/3 rand) 1) |
(fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) |
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))) |
(fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1) |
(fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 1/3 rand) 1) |
(fma.f64 (pow.f64 a -1/2) (*.f64 1/3 rand) 1) |
(fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) |
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))) |
(fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1) |
(fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 1/3 rand) 1) |
(fma.f64 (pow.f64 a -1/2) (*.f64 1/3 rand) 1) |
(fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) |
Compiled 17917 to 13611 computations (24% saved)
11 alts after pruning (4 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 926 | 3 | 929 |
| Fresh | 1 | 1 | 2 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 7 | 9 |
| Total | 930 | 11 | 941 |
| Status | Error | Program |
|---|---|---|
| ✓ | 43.1b | (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)) |
| ▶ | 0.4b | (*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))) |
| ✓ | 43.0b | (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
| ✓ | 0.4b | (*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a))))) |
| ▶ | 50.3b | (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
| ▶ | 43.0b | (*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 1/9)) rand) |
| ✓ | 0.1b | (*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3))))) |
| ✓ | 0.1b | (-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3) |
| ✓ | 20.8b | (-.f64 a 1/3) |
| 21.6b | a | |
| ✓ | 0.1b | (*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand))) |
Compiled 130 to 104 computations (20% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (sqrt.f64 (*.f64 (+.f64 a -1/3) 1/9)) |
| ✓ | 0.2b | (*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 1/9)) rand) |
| ✓ | 0.4b | (*.f64 (+.f64 a -1/3) 1/9) |
Compiled 28 to 21 computations (25% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | a | @ | -inf | (sqrt.f64 (*.f64 (+.f64 a -1/3) 1/9)) |
| 1.0ms | a | @ | inf | (sqrt.f64 (*.f64 (+.f64 a -1/3) 1/9)) |
| 1.0ms | a | @ | 0 | (sqrt.f64 (*.f64 (+.f64 a -1/3) 1/9)) |
| 0.0ms | a | @ | 0 | (*.f64 (+.f64 a -1/3) 1/9) |
| 0.0ms | a | @ | -inf | (*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 1/9)) rand) |
| 1× | batch-egg-rewrite |
| 903× | pow1_binary64 |
| 842× | add-log-exp_binary64 |
| 842× | log1p-expm1-u_binary64 |
| 842× | expm1-log1p-u_binary64 |
| 826× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 28 |
| 1 | 192 | 28 |
| 2 | 2282 | 28 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (+.f64 a -1/3) 1/9) |
(*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 1/9)) rand) |
(sqrt.f64 (*.f64 (+.f64 a -1/3) 1/9)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/27 (*.f64 a 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/27 (*.f64 1/9 a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a 1/9) -1/27)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/9 a) -1/27)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 -1/27 (*.f64 a 1/9))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) 1/9) (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) 1/9) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/9 (+.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 1/9 (fma.f64 a a -1/9)) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 -1/27 (*.f64 a 1/9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 -1/27 (*.f64 a 1/9)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 -1/27 (*.f64 a 1/9)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 -1/27 (*.f64 a 1/9))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 -1/27 (*.f64 a 1/9)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/9) (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 -1/27 (*.f64 a 1/9)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 -1/27 (*.f64 a 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 -1/27 (*.f64 a 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 -1/27 (*.f64 a 1/9)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))) rand)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))) rand) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))) rand) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))) rand)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))) rand)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (+.f64 -1/27 (*.f64 a 1/9)) (*.f64 rand rand)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 rand) (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))) rand) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 -1/27 (*.f64 a 1/9)) 3/2) (pow.f64 rand 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 rand 3) (pow.f64 (+.f64 -1/27 (*.f64 a 1/9)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))) rand))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 -1/27 (*.f64 a 1/9))) (cbrt.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))) (cbrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 -1/27 (*.f64 a 1/9)) 1/4) (pow.f64 (+.f64 -1/27 (*.f64 a 1/9)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 a -1/3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 a -1/3)) (pow.f64 1/9 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 -1/27 (*.f64 a 1/9))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1/9 1/2) (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 -1/27 (*.f64 a 1/9))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 -1/27 (*.f64 a 1/9))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 -1/27 (*.f64 a 1/9)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 -1/27 (*.f64 a 1/9)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 -1/27 (*.f64 a 1/9)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 -1/27 (*.f64 a 1/9)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))))))) |
| 1× | egg-herbie |
| 896× | associate-/l*_binary64 |
| 668× | fma-def_binary64 |
| 443× | associate-/r*_binary64 |
| 419× | associate-*l/_binary64 |
| 405× | associate-*l*_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 420 |
| 1 | 147 | 412 |
| 2 | 409 | 408 |
| 3 | 1345 | 374 |
| 4 | 6477 | 366 |
| 5 | 7412 | 366 |
| 1× | node limit |
| Inputs |
|---|
-1/27 |
(-.f64 (*.f64 1/9 a) 1/27) |
(-.f64 (*.f64 1/9 a) 1/27) |
(-.f64 (*.f64 1/9 a) 1/27) |
(*.f64 1/9 a) |
(-.f64 (*.f64 1/9 a) 1/27) |
(-.f64 (*.f64 1/9 a) 1/27) |
(-.f64 (*.f64 1/9 a) 1/27) |
(*.f64 1/9 a) |
(-.f64 (*.f64 1/9 a) 1/27) |
(-.f64 (*.f64 1/9 a) 1/27) |
(-.f64 (*.f64 1/9 a) 1/27) |
(*.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 1/3 (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))))) |
| Outputs |
|---|
-1/27 |
(-.f64 (*.f64 1/9 a) 1/27) |
(fma.f64 1/9 a -1/27) |
(-.f64 (*.f64 1/9 a) 1/27) |
(fma.f64 1/9 a -1/27) |
(-.f64 (*.f64 1/9 a) 1/27) |
(fma.f64 1/9 a -1/27) |
(*.f64 1/9 a) |
(-.f64 (*.f64 1/9 a) 1/27) |
(fma.f64 1/9 a -1/27) |
(-.f64 (*.f64 1/9 a) 1/27) |
(fma.f64 1/9 a -1/27) |
(-.f64 (*.f64 1/9 a) 1/27) |
(fma.f64 1/9 a -1/27) |
(*.f64 1/9 a) |
(-.f64 (*.f64 1/9 a) 1/27) |
(fma.f64 1/9 a -1/27) |
(-.f64 (*.f64 1/9 a) 1/27) |
(fma.f64 1/9 a -1/27) |
(-.f64 (*.f64 1/9 a) 1/27) |
(fma.f64 1/9 a -1/27) |
(*.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 (*.f64 1/6 (*.f64 a rand)) (sqrt.f64 -1/3))) |
(*.f64 rand (fma.f64 1/3 (sqrt.f64 -1/3) (*.f64 a (/.f64 1/6 (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 a (*.f64 a rand)) (sqrt.f64 -1/3))))) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (/.f64 (/.f64 (*.f64 a (*.f64 a rand)) 8) (sqrt.f64 -1/3)))) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (*.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 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 (*.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 (*.f64 rand (pow.f64 a 3)) (pow.f64 (sqrt.f64 -1/3) 5)) (*.f64 1/8 (/.f64 (*.f64 a (*.f64 a rand)) (sqrt.f64 -1/3)))))) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (fma.f64 1/8 (/.f64 a (/.f64 (sqrt.f64 -1/3) (*.f64 a rand))) (*.f64 (*.f64 (/.f64 1/48 (pow.f64 (sqrt.f64 -1/3) 5)) (pow.f64 a 3)) rand)))) |
(+.f64 (*.f64 rand (*.f64 (/.f64 a (sqrt.f64 -1/3)) (+.f64 1/6 (/.f64 a 8)))) (*.f64 rand (fma.f64 1/48 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) (*.f64 1/3 (sqrt.f64 -1/3))))) |
(*.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)))))) |
(*.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 (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 a -1/3)))) |
(*.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 a -1/3)))) |
(*.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 a -1/3)))) |
(*.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 a -1/3)))) |
(*.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 a -1/3)))) |
(*.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 a -1/3)))) |
(*.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 a -1/3)))) |
(*.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 a -1/3)))) |
(*.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 a -1/3)))) |
(*.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 a -1/3)))) |
(*.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 a -1/3)))) |
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)) |
(*.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 1/6 (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)))) |
(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 (*.f64 1/48 (pow.f64 a 3)) (pow.f64 (sqrt.f64 -1/3) 5))))) |
(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))))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (-.f64 a 1/3) rand) |
| ✓ | 0.1b | (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))) |
| ✓ | 0.3b | (/.f64 1 (-.f64 (*.f64 9 a) 3)) |
| ✓ | 9.9b | (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
Compiled 53 to 41 computations (22.6% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | a | @ | -inf | (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
| 1.0ms | rand | @ | 0 | (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
| 1.0ms | a | @ | inf | (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
| 1.0ms | a | @ | -inf | (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))) |
| 1.0ms | a | @ | 0 | (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
| 1× | batch-egg-rewrite |
| 644× | log-prod_binary64 |
| 364× | pow2_binary64 |
| 254× | pow1/3_binary64 |
| 252× | expm1-udef_binary64 |
| 252× | log1p-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 44 |
| 1 | 306 | 39 |
| 2 | 3706 | 39 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
(/.f64 1 (-.f64 (*.f64 9 a) 3)) |
(sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))) |
(*.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 (fma.f64 a 9 -3)))))))) (#(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 (fma.f64 a 9 -3))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -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 (fma.f64 a 9 -3)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (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 (fma.f64 a 9 -3)))) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 (+.f64 a -1/3) rand) 3) (pow.f64 (fma.f64 a 9 -3) -3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -3/2) (pow.f64 (*.f64 (+.f64 a -1/3) rand) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (+.f64 a -1/3) rand) 3) (pow.f64 (fma.f64 a 9 -3) -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -3/2) (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) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 a 9 -3)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 a 9 -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 a 9 -3))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 a 9 -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 a 9 -3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 a 9 -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (pow.f64 (fma.f64 a 9 -3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (fma.f64 a 9 -3))) (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/6) (pow.f64 (fma.f64 a 9 -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) -2)) (/.f64 1 (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) (pow.f64 (fma.f64 a 9 -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.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 1 (fma.f64 729 (pow.f64 a 3) -27)) (fma.f64 81 (*.f64 a a) (fma.f64 a 27 9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 81 (*.f64 a a) -9)) (fma.f64 a 9 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) -2) (/.f64 1 (cbrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (/.f64 1 (cbrt.f64 (fma.f64 a 9 -3)))) (pow.f64 (fma.f64 a 9 -3) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 a 9 -3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 a 9 -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) 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 (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 (pow.f64 (fma.f64 a 9 -3) -3/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 a 9 -3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a 9 -3) -1/6) 6)))) (#(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) -1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (fma.f64 a 9 -3))) -1)))) (#(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 (/.f64 1 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (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 (/.f64 1 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.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))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 a 9 -3))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (fma.f64 a 9 -3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 a 9 -3) -1/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 a 9 -3) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (fma.f64 a 9 -3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (fma.f64 a 9 -3))) (pow.f64 (fma.f64 a 9 -3) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 a 9 -3) -1/6) (/.f64 1 (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 (pow.f64 1 1/2) (pow.f64 (fma.f64 a 9 -3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (fma.f64 a 9 -3))))))) (#(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 (/.f64 1 (fma.f64 a 9 -3)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a 9 -3) 3) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a 9 -3) -2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a 9 -3) -3) 1/6)))) (#(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 (fma.f64 a 9 -3)) -3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 a 9 -3))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a 9 -3) -1/6) 3)))) (#(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) -1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (fma.f64 a 9 -3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 a 9 -3) -1/2))))))) (#(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 (pow.f64 (fma.f64 a 9 -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -1/2 (log.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 a 9 -3))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (fma.f64 a 9 -3))) 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 (pow.f64 (exp.f64 rand) (+.f64 a -1/3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 rand) (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 rand) (+.f64 a -1/3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 rand) (+.f64 a -1/3)))))))) (#(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 (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 (*.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 rand 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 rand 3) (pow.f64 (+.f64 a -1/3) 3)) 1/3)))) (#(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 (pow.f64 (exp.f64 rand) (+.f64 a -1/3)))))) (#(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 cbrt.f64 (*.f64 (pow.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 a -1/3) 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 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 |
| 780× | associate-/l*_binary64 |
| 725× | times-frac_binary64 |
| 504× | associate-/r*_binary64 |
| 448× | fma-def_binary64 |
| 351× | distribute-rgt-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 90 | 621 |
| 1 | 267 | 600 |
| 2 | 883 | 587 |
| 3 | 3639 | 479 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/3 (*.f64 rand (sqrt.f64 -1/3))) |
(+.f64 (*.f64 a (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))) (*.f64 -1/3 (*.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 (*.f64 a (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))) (*.f64 -1/3 (*.f64 rand (sqrt.f64 -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 (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 (*.f64 a (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))) (*.f64 -1/3 (*.f64 rand (sqrt.f64 -1/3)))))) |
-1/3 |
(-.f64 (*.f64 -1 a) 1/3) |
(-.f64 (+.f64 (*.f64 -3 (pow.f64 a 2)) (*.f64 -1 a)) 1/3) |
(-.f64 (+.f64 (*.f64 -3 (pow.f64 a 2)) (+.f64 (*.f64 -9 (pow.f64 a 3)) (*.f64 -1 a))) 1/3) |
(/.f64 1/9 a) |
(+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 a 2))) (*.f64 1/9 (/.f64 1 a))) |
(+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 a 2))) (+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 a 3))) (*.f64 1/9 (/.f64 1 a)))) |
(+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 a 3))) (+.f64 (*.f64 1/243 (/.f64 1 (pow.f64 a 4))) (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 a 2))) (*.f64 1/9 (/.f64 1 a))))) |
(/.f64 1/9 a) |
(+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 a 2))) (*.f64 1/9 (/.f64 1 a))) |
(+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 a 2))) (+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 a 3))) (*.f64 1/9 (/.f64 1 a)))) |
(+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 a 3))) (+.f64 (*.f64 1/243 (/.f64 1 (pow.f64 a 4))) (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 a 2))) (*.f64 1/9 (/.f64 1 a))))) |
(sqrt.f64 -1/3) |
(+.f64 (sqrt.f64 -1/3) (*.f64 -1/2 (/.f64 a (sqrt.f64 -1/3)))) |
(+.f64 (sqrt.f64 -1/3) (+.f64 (*.f64 -1/2 (/.f64 a (sqrt.f64 -1/3))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 a 2)) (sqrt.f64 -1/3))))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 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))))) (sqrt.f64 -1/3))) (+.f64 (sqrt.f64 -1/3) (+.f64 (*.f64 -1/2 (/.f64 a (sqrt.f64 -1/3))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 a 2)) (sqrt.f64 -1/3)))))) |
(*.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 (*.f64 rand (sqrt.f64 -1/3))) |
(*.f64 (*.f64 -1/3 rand) (sqrt.f64 -1/3)) |
(+.f64 (*.f64 a (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))) (*.f64 -1/3 (*.f64 rand (sqrt.f64 -1/3)))) |
(fma.f64 a (fma.f64 rand (sqrt.f64 -1/3) (/.f64 (*.f64 1/6 rand) (sqrt.f64 -1/3))) (*.f64 (*.f64 -1/3 rand) (sqrt.f64 -1/3))) |
(fma.f64 -1/3 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 a (fma.f64 rand (sqrt.f64 -1/3) (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))))) |
(+.f64 (*.f64 1/6 (*.f64 a (/.f64 rand (sqrt.f64 -1/3)))) (*.f64 (*.f64 rand (sqrt.f64 -1/3)) (+.f64 -1/3 a))) |
(+.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 (*.f64 a (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))) (*.f64 -1/3 (*.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 (*.f64 -1/2 rand) (sqrt.f64 -1/3))) (fma.f64 a (fma.f64 rand (sqrt.f64 -1/3) (/.f64 (*.f64 1/6 rand) (sqrt.f64 -1/3))) (*.f64 (*.f64 -1/3 rand) (sqrt.f64 -1/3)))) |
(fma.f64 (*.f64 a a) (fma.f64 1/6 (*.f64 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)) rand) (*.f64 (/.f64 rand (sqrt.f64 -1/3)) -1/2)) (fma.f64 -1/3 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 a (fma.f64 rand (sqrt.f64 -1/3) (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))))) |
(fma.f64 a (*.f64 a (fma.f64 1/6 (*.f64 rand (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3))) (/.f64 (*.f64 rand -1/2) (sqrt.f64 -1/3)))) (+.f64 (*.f64 1/6 (*.f64 a (/.f64 rand (sqrt.f64 -1/3)))) (*.f64 (*.f64 rand (sqrt.f64 -1/3)) (+.f64 -1/3 a)))) |
(+.f64 (*.f64 (*.f64 rand (sqrt.f64 -1/3)) (+.f64 -1/3 a)) (*.f64 a (+.f64 (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))) (*.f64 a (*.f64 rand (+.f64 (/.f64 3/8 (sqrt.f64 -1/3)) (/.f64 -1/2 (sqrt.f64 -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 (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 (*.f64 a (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))) (*.f64 -1/3 (*.f64 rand (sqrt.f64 -1/3)))))) |
(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 (*.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 (*.f64 -1/2 rand) (sqrt.f64 -1/3))) (fma.f64 a (fma.f64 rand (sqrt.f64 -1/3) (/.f64 (*.f64 1/6 rand) (sqrt.f64 -1/3))) (*.f64 (*.f64 -1/3 rand) (sqrt.f64 -1/3))))) |
(fma.f64 (pow.f64 a 3) (fma.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)) (/.f64 (*.f64 (*.f64 rand -1/2) (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2))) (sqrt.f64 -1/3))) (fma.f64 (*.f64 a a) (fma.f64 1/6 (*.f64 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)) rand) (*.f64 (/.f64 rand (sqrt.f64 -1/3)) -1/2)) (fma.f64 -1/3 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 a (fma.f64 rand (sqrt.f64 -1/3) (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))))))) |
(fma.f64 a (*.f64 a (fma.f64 1/6 (*.f64 rand (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3))) (/.f64 (*.f64 rand -1/2) (sqrt.f64 -1/3)))) (fma.f64 (pow.f64 a 3) (fma.f64 1/6 (*.f64 (/.f64 rand (sqrt.f64 -1/3)) (+.f64 9 (*.f64 -3/2 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2))))) (*.f64 -1/2 (*.f64 rand (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3))))) (+.f64 (*.f64 1/6 (*.f64 a (/.f64 rand (sqrt.f64 -1/3)))) (*.f64 (*.f64 rand (sqrt.f64 -1/3)) (+.f64 -1/3 a))))) |
(+.f64 (*.f64 (*.f64 rand (sqrt.f64 -1/3)) (+.f64 -1/3 a)) (*.f64 a (+.f64 (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))) (*.f64 a (+.f64 (*.f64 rand (+.f64 (/.f64 3/8 (sqrt.f64 -1/3)) (/.f64 -1/2 (sqrt.f64 -1/3)))) (*.f64 a (+.f64 (*.f64 (/.f64 rand (sqrt.f64 -1/3)) 15/16) (*.f64 (/.f64 -9/8 (sqrt.f64 -1/3)) rand)))))))) |
-1/3 |
(-.f64 (*.f64 -1 a) 1/3) |
(fma.f64 -1 a -1/3) |
(fma.f64 a -1 -1/3) |
(-.f64 -1/3 a) |
(-.f64 (+.f64 (*.f64 -3 (pow.f64 a 2)) (*.f64 -1 a)) 1/3) |
(+.f64 (fma.f64 -3 (*.f64 a a) (neg.f64 a)) -1/3) |
(fma.f64 (*.f64 a a) -3 (fma.f64 a -1 -1/3)) |
(-.f64 (fma.f64 a (*.f64 a -3) -1/3) a) |
(-.f64 (+.f64 (*.f64 -3 (pow.f64 a 2)) (+.f64 (*.f64 -9 (pow.f64 a 3)) (*.f64 -1 a))) 1/3) |
(+.f64 (fma.f64 -3 (*.f64 a a) (fma.f64 -9 (pow.f64 a 3) (neg.f64 a))) -1/3) |
(+.f64 -1/3 (fma.f64 (*.f64 a a) -3 (-.f64 (*.f64 (pow.f64 a 3) -9) a))) |
(fma.f64 a (*.f64 a -3) (fma.f64 (pow.f64 a 3) -9 (-.f64 -1/3 a))) |
(-.f64 (fma.f64 (*.f64 a a) (+.f64 (*.f64 a -9) -3) -1/3) a) |
(/.f64 1/9 a) |
(+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 a 2))) (*.f64 1/9 (/.f64 1 a))) |
(+.f64 (/.f64 1/27 (*.f64 a a)) (/.f64 1/9 a)) |
(+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 a 2))) (+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 a 3))) (*.f64 1/9 (/.f64 1 a)))) |
(+.f64 (+.f64 (/.f64 1/27 (*.f64 a a)) (/.f64 1/81 (pow.f64 a 3))) (/.f64 1/9 a)) |
(+.f64 (/.f64 1/27 (*.f64 a a)) (+.f64 (/.f64 1/9 a) (/.f64 1/81 (pow.f64 a 3)))) |
(+.f64 (/.f64 1/9 a) (+.f64 (/.f64 1/27 (*.f64 a a)) (/.f64 1/81 (pow.f64 a 3)))) |
(+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 a 3))) (+.f64 (*.f64 1/243 (/.f64 1 (pow.f64 a 4))) (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 a 2))) (*.f64 1/9 (/.f64 1 a))))) |
(+.f64 (/.f64 1/81 (pow.f64 a 3)) (+.f64 (+.f64 (/.f64 1/27 (*.f64 a a)) (/.f64 1/9 a)) (/.f64 1/243 (pow.f64 a 4)))) |
(+.f64 (+.f64 (/.f64 1/27 (*.f64 a a)) (/.f64 1/9 a)) (+.f64 (/.f64 1/81 (pow.f64 a 3)) (/.f64 1/243 (pow.f64 a 4)))) |
(+.f64 (/.f64 1/27 (*.f64 a a)) (+.f64 (+.f64 (/.f64 1/9 a) (/.f64 1/81 (pow.f64 a 3))) (/.f64 1/243 (pow.f64 a 4)))) |
(+.f64 (/.f64 1/27 (*.f64 a a)) (+.f64 (/.f64 1/81 (pow.f64 a 3)) (+.f64 (/.f64 1/9 a) (/.f64 1/243 (pow.f64 a 4))))) |
(/.f64 1/9 a) |
(+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 a 2))) (*.f64 1/9 (/.f64 1 a))) |
(+.f64 (/.f64 1/27 (*.f64 a a)) (/.f64 1/9 a)) |
(+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 a 2))) (+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 a 3))) (*.f64 1/9 (/.f64 1 a)))) |
(+.f64 (+.f64 (/.f64 1/27 (*.f64 a a)) (/.f64 1/81 (pow.f64 a 3))) (/.f64 1/9 a)) |
(+.f64 (/.f64 1/27 (*.f64 a a)) (+.f64 (/.f64 1/9 a) (/.f64 1/81 (pow.f64 a 3)))) |
(+.f64 (/.f64 1/9 a) (+.f64 (/.f64 1/27 (*.f64 a a)) (/.f64 1/81 (pow.f64 a 3)))) |
(+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 a 3))) (+.f64 (*.f64 1/243 (/.f64 1 (pow.f64 a 4))) (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 a 2))) (*.f64 1/9 (/.f64 1 a))))) |
(+.f64 (/.f64 1/81 (pow.f64 a 3)) (+.f64 (+.f64 (/.f64 1/27 (*.f64 a a)) (/.f64 1/9 a)) (/.f64 1/243 (pow.f64 a 4)))) |
(+.f64 (+.f64 (/.f64 1/27 (*.f64 a a)) (/.f64 1/9 a)) (+.f64 (/.f64 1/81 (pow.f64 a 3)) (/.f64 1/243 (pow.f64 a 4)))) |
(+.f64 (/.f64 1/27 (*.f64 a a)) (+.f64 (+.f64 (/.f64 1/9 a) (/.f64 1/81 (pow.f64 a 3))) (/.f64 1/243 (pow.f64 a 4)))) |
(+.f64 (/.f64 1/27 (*.f64 a a)) (+.f64 (/.f64 1/81 (pow.f64 a 3)) (+.f64 (/.f64 1/9 a) (/.f64 1/243 (pow.f64 a 4))))) |
(sqrt.f64 -1/3) |
(+.f64 (sqrt.f64 -1/3) (*.f64 -1/2 (/.f64 a (sqrt.f64 -1/3)))) |
(+.f64 (sqrt.f64 -1/3) (/.f64 (*.f64 -1/2 a) (sqrt.f64 -1/3))) |
(fma.f64 -1/2 (/.f64 a (sqrt.f64 -1/3)) (sqrt.f64 -1/3)) |
(+.f64 (sqrt.f64 -1/3) (+.f64 (*.f64 -1/2 (/.f64 a (sqrt.f64 -1/3))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 a 2)) (sqrt.f64 -1/3))))) |
(+.f64 (sqrt.f64 -1/3) (*.f64 -1/2 (+.f64 (/.f64 a (sqrt.f64 -1/3)) (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) (*.f64 a a)))))) |
(fma.f64 -1/2 (+.f64 (/.f64 a (sqrt.f64 -1/3)) (*.f64 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)) (*.f64 a a))) (sqrt.f64 -1/3)) |
(fma.f64 -1/2 (fma.f64 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)) (*.f64 a a) (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3)) |
(+.f64 (sqrt.f64 -1/3) (*.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) (+.f64 a (*.f64 a (*.f64 a 9/4))))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 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))))) (sqrt.f64 -1/3))) (+.f64 (sqrt.f64 -1/3) (+.f64 (*.f64 -1/2 (/.f64 a (sqrt.f64 -1/3))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 a 2)) (sqrt.f64 -1/3)))))) |
(fma.f64 -1/2 (/.f64 (pow.f64 a 3) (/.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 (sqrt.f64 -1/3) (*.f64 -1/2 (+.f64 (/.f64 a (sqrt.f64 -1/3)) (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) (*.f64 a a))))))) |
(fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 a 3) (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 -1/2 (+.f64 (/.f64 a (sqrt.f64 -1/3)) (*.f64 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)) (*.f64 a a))) (sqrt.f64 -1/3))) |
(fma.f64 -1/2 (*.f64 (+.f64 9 (*.f64 -3/2 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)))) (/.f64 (pow.f64 a 3) (sqrt.f64 -1/3))) (fma.f64 -1/2 (fma.f64 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)) (*.f64 a a) (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3))) |
(+.f64 (*.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) (+.f64 a (*.f64 a (*.f64 a 9/4)))) (+.f64 (sqrt.f64 -1/3) (*.f64 (/.f64 (pow.f64 a 3) (sqrt.f64 -1/3)) -45/16))) |
(*.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)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 1 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a))) |
| ✓ | 0.1b | (*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))) |
| ✓ | 0.3b | (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) |
| 0.3b | (*.f64 1/3 rand) |
Compiled 40 to 25 computations (37.5% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | rand | @ | inf | (*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))) |
| 1.0ms | a | @ | -inf | (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) |
| 1.0ms | a | @ | -inf | (*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))) |
| 0.0ms | a | @ | 0 | (*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))) |
| 0.0ms | rand | @ | 0 | (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) |
| 1× | batch-egg-rewrite |
| 654× | prod-diff_binary64 |
| 597× | log-prod_binary64 |
| 366× | fma-def_binary64 |
| 212× | expm1-udef_binary64 |
| 212× | log1p-udef_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 39 |
| 1 | 247 | 37 |
| 2 | 3547 | 35 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) |
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))) |
(+.f64 1 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a))) |
| Outputs |
|---|
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1/3 (/.f64 rand (sqrt.f64 a))) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))) (cbrt.f64 (/.f64 (*.f64 1/9 (*.f64 rand rand)) a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 (*.f64 1/9 (*.f64 rand rand)) a)) (cbrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 rand)) 2) (*.f64 (cbrt.f64 (*.f64 1/3 rand)) (pow.f64 a -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))) (sqrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/3 rand)) (*.f64 (sqrt.f64 (*.f64 1/3 rand)) (pow.f64 a -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 rand -1/3) (/.f64 1 (neg.f64 (sqrt.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 a -1/2) (*.f64 1/3 rand) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 rand 1) (/.f64 1/3 (sqrt.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 rand)) 2) 1) (/.f64 (cbrt.f64 (*.f64 1/3 rand)) (sqrt.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (*.f64 1/3 rand)) 1) (/.f64 (sqrt.f64 (*.f64 1/3 rand)) (sqrt.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/3 (cbrt.f64 a)) (/.f64 rand (cbrt.f64 (sqrt.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 rand (cbrt.f64 a)) (/.f64 1/3 (cbrt.f64 (sqrt.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (cbrt.f64 a)) (/.f64 (*.f64 1/3 rand) (cbrt.f64 (sqrt.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 rand)) 2) (cbrt.f64 a)) (cbrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (*.f64 1/3 rand)) (cbrt.f64 a)) (/.f64 (sqrt.f64 (*.f64 1/3 rand)) (cbrt.f64 (sqrt.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/3 (pow.f64 a 1/4)) (/.f64 rand (pow.f64 a 1/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 rand (pow.f64 a 1/4)) (/.f64 1/3 (pow.f64 a 1/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 a 1/4)) (/.f64 (*.f64 1/3 rand) (pow.f64 a 1/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 rand)) 2) (pow.f64 a 1/4)) (/.f64 (cbrt.f64 (*.f64 1/3 rand)) (pow.f64 a 1/4)) 1))))) |
| 1× | egg-herbie |
| 2344× | fma-neg_binary64 |
| 524× | fma-def_binary64 |
| 279× | distribute-rgt-in_binary64 |
| 262× | distribute-rgt-neg-in_binary64 |
| 230× | unsub-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 564 |
| 1 | 37 | 528 |
| 2 | 81 | 528 |
| 3 | 220 | 497 |
| 4 | 562 | 497 |
| 5 | 878 | 497 |
| 6 | 1462 | 497 |
| 7 | 2789 | 497 |
| 8 | 4738 | 497 |
| 9 | 5190 | 497 |
| 10 | 5298 | 497 |
| 11 | 5308 | 497 |
| 12 | 5308 | 497 |
| 13 | 5312 | 497 |
| 14 | 6949 | 497 |
| 15 | 6949 | 497 |
| 16 | 6949 | 497 |
| 17 | 6949 | 497 |
| 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) |
1 |
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))) |
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))) |
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))) |
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))) |
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))) |
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))) |
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))) |
1 |
1 |
| 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 a (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) -1/3)) |
(+.f64 a (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 -1/9 (*.f64 1/3 a))) -1/3)) |
(*.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1) (+.f64 a -1/3)) |
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1)) |
(*.f64 (-.f64 1/3 a) (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand -1/3) -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 a (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) -1/3)) |
(+.f64 a (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 -1/9 (*.f64 1/3 a))) -1/3)) |
(*.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1) (+.f64 a -1/3)) |
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1)) |
(*.f64 (-.f64 1/3 a) (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand -1/3) -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 a (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) -1/3)) |
(+.f64 a (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 -1/9 (*.f64 1/3 a))) -1/3)) |
(*.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1) (+.f64 a -1/3)) |
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1)) |
(*.f64 (-.f64 1/3 a) (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand -1/3) -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 a (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) -1/3)) |
(+.f64 a (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 -1/9 (*.f64 1/3 a))) -1/3)) |
(*.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1) (+.f64 a -1/3)) |
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1)) |
(*.f64 (-.f64 1/3 a) (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand -1/3) -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 a (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) -1/3)) |
(+.f64 a (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 -1/9 (*.f64 1/3 a))) -1/3)) |
(*.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1) (+.f64 a -1/3)) |
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1)) |
(*.f64 (-.f64 1/3 a) (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand -1/3) -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 a (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) -1/3)) |
(+.f64 a (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 -1/9 (*.f64 1/3 a))) -1/3)) |
(*.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1) (+.f64 a -1/3)) |
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1)) |
(*.f64 (-.f64 1/3 a) (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand -1/3) -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 a (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) -1/3)) |
(+.f64 a (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 -1/9 (*.f64 1/3 a))) -1/3)) |
(*.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1) (+.f64 a -1/3)) |
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1)) |
(*.f64 (-.f64 1/3 a) (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand -1/3) -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 a (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) -1/3)) |
(+.f64 a (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 -1/9 (*.f64 1/3 a))) -1/3)) |
(*.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1) (+.f64 a -1/3)) |
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1)) |
(*.f64 (-.f64 1/3 a) (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand -1/3) -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 a (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) -1/3)) |
(+.f64 a (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 -1/9 (*.f64 1/3 a))) -1/3)) |
(*.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1) (+.f64 a -1/3)) |
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1)) |
(*.f64 (-.f64 1/3 a) (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand -1/3) -1)) |
1 |
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))) |
(fma.f64 (*.f64 1/3 (sqrt.f64 (/.f64 1 a))) rand 1) |
(fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1) |
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))) |
(fma.f64 (*.f64 1/3 (sqrt.f64 (/.f64 1 a))) rand 1) |
(fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1) |
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))) |
(fma.f64 (*.f64 1/3 (sqrt.f64 (/.f64 1 a))) rand 1) |
(fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))) |
(fma.f64 (*.f64 1/3 (sqrt.f64 (/.f64 1 a))) rand 1) |
(fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1) |
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))) |
(fma.f64 (*.f64 1/3 (sqrt.f64 (/.f64 1 a))) rand 1) |
(fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1) |
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))) |
(fma.f64 (*.f64 1/3 (sqrt.f64 (/.f64 1 a))) rand 1) |
(fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))) |
(fma.f64 (*.f64 1/3 (sqrt.f64 (/.f64 1 a))) rand 1) |
(fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1) |
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))) |
(fma.f64 (*.f64 1/3 (sqrt.f64 (/.f64 1 a))) rand 1) |
(fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1) |
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))) |
(fma.f64 (*.f64 1/3 (sqrt.f64 (/.f64 1 a))) rand 1) |
(fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1) |
1 |
1 |
Compiled 8343 to 5942 computations (28.8% saved)
13 alts after pruning (4 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 471 | 4 | 475 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 8 | 9 |
| Total | 473 | 13 | 486 |
| Status | Error | Program |
|---|---|---|
| ✓ | 43.1b | (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)) |
| ✓ | 0.4b | (*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))) |
| 21.6b | a | |
| ✓ | 0.1b | (*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3))))) |
| 0.5b | (*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 1/3 (/.f64 1 (/.f64 (sqrt.f64 a) rand))))) | |
| 43.3b | (*.f64 (sqrt.f64 (*.f64 1/9 a)) rand) | |
| ✓ | 43.0b | (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
| ✓ | 0.4b | (*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a))))) |
| ✓ | 50.3b | (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
| ✓ | 43.0b | (*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 1/9)) rand) |
| ✓ | 0.1b | (-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3) |
| ✓ | 20.8b | (-.f64 a 1/3) |
| 50.6b | (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1/9 a))) |
Compiled 150 to 119 computations (20.7% saved)
| Inputs |
|---|
a |
a |
a |
a |
(-.f64 a 1/3) |
(*.f64 (sqrt.f64 (*.f64 1/9 a)) rand) |
(*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 1/9)) rand) |
(*.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 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1/9 a))) |
(sqrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/9 (*.f64 rand rand)))) |
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 (*.f64 1/3 rand) (sqrt.f64 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 a 1/3) (+.f64 1 (*.f64 (pow.f64 (*.f64 a 9) -1/2) rand))) |
(*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 1/3 (/.f64 1 (/.f64 (sqrt.f64 a) rand))))) |
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 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 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3))))) |
(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (*.f64 rand -1/3) (/.f64 1 (neg.f64 (sqrt.f64 (+.f64 a -1/3))))))) |
(*.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 a 1/3) (+.f64 1 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand))) |
(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (/.f64 1 (/.f64 (sqrt.f64 (fma.f64 9 a -3)) rand)))) |
| Outputs |
|---|
(*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand))) |
4 calls:
| 66.0ms | (*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand))) |
| 26.0ms | (-.f64 a (/.f64 1 3)) |
| 25.0ms | rand |
| 14.0ms | a |
| 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 a (/.f64 1 3)) |
Compiled 292 to 225 computations (22.9% saved)
| Inputs |
|---|
a |
a |
a |
a |
(-.f64 a 1/3) |
(*.f64 (sqrt.f64 (*.f64 1/9 a)) rand) |
(*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 1/9)) rand) |
(*.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 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1/9 a))) |
(sqrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/9 (*.f64 rand rand)))) |
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 (*.f64 1/3 rand) (sqrt.f64 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 a 1/3) (+.f64 1 (*.f64 (pow.f64 (*.f64 a 9) -1/2) rand))) |
(*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 1/3 (/.f64 1 (/.f64 (sqrt.f64 a) rand))))) |
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 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 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3))))) |
(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (*.f64 rand -1/3) (/.f64 1 (neg.f64 (sqrt.f64 (+.f64 a -1/3))))))) |
(*.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))))) |
| Outputs |
|---|
(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3))))) |
4 calls:
| 16.0ms | (*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand))) |
| 14.0ms | (-.f64 a (/.f64 1 3)) |
| 14.0ms | rand |
| 13.0ms | a |
| 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 a (/.f64 1 3)) |
Compiled 261 to 200 computations (23.4% saved)
| Inputs |
|---|
a |
a |
a |
a |
(-.f64 a 1/3) |
(*.f64 (sqrt.f64 (*.f64 1/9 a)) rand) |
(*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 1/9)) rand) |
(*.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 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1/9 a))) |
(sqrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/9 (*.f64 rand rand)))) |
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 (*.f64 1/3 rand) (sqrt.f64 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 a 1/3) (+.f64 1 (*.f64 (pow.f64 (*.f64 a 9) -1/2) rand))) |
(*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 1/3 (/.f64 1 (/.f64 (sqrt.f64 a) rand))))) |
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
| Outputs |
|---|
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3) |
2 calls:
| 14.0ms | rand |
| 11.0ms | a |
| Error | Segments | Branch |
|---|---|---|
| 0.1b | 1 | a |
| 0.1b | 1 | rand |
Compiled 164 to 119 computations (27.4% saved)
| Inputs |
|---|
a |
a |
a |
a |
(-.f64 a 1/3) |
(*.f64 (sqrt.f64 (*.f64 1/9 a)) rand) |
(*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 1/9)) rand) |
(*.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 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1/9 a))) |
(sqrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/9 (*.f64 rand rand)))) |
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))) |
| Outputs |
|---|
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))) |
2 calls:
| 8.0ms | rand |
| 8.0ms | a |
| Error | Segments | Branch |
|---|---|---|
| 0.4b | 1 | a |
| 0.4b | 1 | rand |
Compiled 85 to 59 computations (30.6% saved)
| Inputs |
|---|
a |
a |
a |
a |
(-.f64 a 1/3) |
(*.f64 (sqrt.f64 (*.f64 1/9 a)) rand) |
(*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 1/9)) rand) |
(*.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 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1/9 a))) |
(sqrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/9 (*.f64 rand rand)))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 1/9)) rand) |
(-.f64 a 1/3) |
(*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 1/9)) rand) |
2 calls:
| 44.0ms | a |
| 31.0ms | rand |
| Error | Segments | Branch |
|---|---|---|
| 15.9b | 7 | a |
| 5.2b | 3 | rand |
Compiled 73 to 50 computations (31.5% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 29.0ms | 3.4601122133509547e+86 | 1.6317677951285323e+90 |
| 30.0ms | -8.60025848081188e+51 | -3.304260059382107e+46 |
Compiled 27 to 23 computations (14.8% saved)
| Inputs |
|---|
a |
a |
a |
a |
(-.f64 a 1/3) |
(*.f64 (sqrt.f64 (*.f64 1/9 a)) rand) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (*.f64 1/9 a)) rand) |
(-.f64 a 1/3) |
(*.f64 (sqrt.f64 (*.f64 1/9 a)) rand) |
2 calls:
| 29.0ms | a |
| 13.0ms | rand |
| Error | Segments | Branch |
|---|---|---|
| 15.9b | 7 | a |
| 5.5b | 3 | rand |
Compiled 21 to 12 computations (42.9% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 32.0ms | 3.4601122133509547e+86 | 1.6317677951285323e+90 |
| 31.0ms | -8.60025848081188e+51 | -3.304260059382107e+46 |
Compiled 27 to 23 computations (14.8% saved)
| Inputs |
|---|
a |
a |
a |
a |
(-.f64 a 1/3) |
| Outputs |
|---|
(-.f64 a 1/3) |
2 calls:
| 6.0ms | a |
| 5.0ms | rand |
| Error | Segments | Branch |
|---|---|---|
| 20.8b | 1 | a |
| 20.8b | 1 | rand |
Compiled 15 to 8 computations (46.7% saved)
Total 0.0b remaining (0%)
Threshold costs 0.0b (0%)
| Inputs |
|---|
a |
a |
a |
a |
| Outputs |
|---|
a |
2 calls:
| 4.0ms | a |
| 4.0ms | rand |
| Error | Segments | Branch |
|---|---|---|
| 21.6b | 1 | a |
| 21.6b | 1 | rand |
Compiled 12 to 6 computations (50% saved)
| 1× | egg-herbie |
| 11× | *-commutative_binary64 |
| 6× | +-commutative_binary64 |
| 2× | sub-neg_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 156 |
| 1 | 71 | 156 |
| 2 | 72 | 156 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand))) |
(*.f64 (-.f64 a (/.f64 1 3)) (+.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 a 1/3) (+.f64 1 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))) |
(if (<=.f64 rand -8600258480811879443253987309002531141104635066974208) (*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 1/9)) rand) (if (<=.f64 rand 346011221335095466600339405158249071179733623820650340892639208791741480425424009822208) (-.f64 a 1/3) (*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 1/9)) rand))) |
(if (<=.f64 rand -8600258480811879443253987309002531141104635066974208) (*.f64 (sqrt.f64 (*.f64 1/9 a)) rand) (if (<=.f64 rand 346011221335095466600339405158249071179733623820650340892639208791741480425424009822208) (-.f64 a 1/3) (*.f64 (sqrt.f64 (*.f64 1/9 a)) rand))) |
(-.f64 a 1/3) |
a |
| Outputs |
|---|
(*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand))) |
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand))) |
(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3))))) |
(*.f64 (+.f64 a -1/3) (+.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 a (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))) -1/3) |
(+.f64 -1/3 (+.f64 a (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))))) |
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))) |
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))) |
(if (<=.f64 rand -8600258480811879443253987309002531141104635066974208) (*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 1/9)) rand) (if (<=.f64 rand 346011221335095466600339405158249071179733623820650340892639208791741480425424009822208) (-.f64 a 1/3) (*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 1/9)) rand))) |
(if (<=.f64 rand -8600258480811879443253987309002531141104635066974208) (*.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 1/9))) (if (<=.f64 rand 346011221335095466600339405158249071179733623820650340892639208791741480425424009822208) (+.f64 a -1/3) (*.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 1/9))))) |
(if (<=.f64 rand -8600258480811879443253987309002531141104635066974208) (*.f64 (sqrt.f64 (*.f64 1/9 a)) rand) (if (<=.f64 rand 346011221335095466600339405158249071179733623820650340892639208791741480425424009822208) (-.f64 a 1/3) (*.f64 (sqrt.f64 (*.f64 1/9 a)) rand))) |
(if (<=.f64 rand -8600258480811879443253987309002531141104635066974208) (*.f64 rand (sqrt.f64 (*.f64 a 1/9))) (if (<=.f64 rand 346011221335095466600339405158249071179733623820650340892639208791741480425424009822208) (+.f64 a -1/3) (*.f64 rand (sqrt.f64 (*.f64 a 1/9))))) |
(-.f64 a 1/3) |
(+.f64 a -1/3) |
a |
Compiled 122 to 94 computations (23% 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 |
Compiled 389 to 334 computations (14.1% saved)
Compiled 108 to 80 computations (25.9% saved)
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