Time bar (total: 9.3s)
| 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)
| 1.2s | 8256× | body | 256 | valid |
| 235.0ms | 1153× | body | 256 | invalid |
| 2× | egg-herbie |
| 2198× | fma-neg_binary64 |
| 692× | fma-def_binary64 |
| 350× | unsub-neg_binary64 |
| 301× | sub-neg_binary64 |
| 270× | distribute-rgt-neg-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 48 |
| 1 | 52 | 42 |
| 2 | 142 | 38 |
| 3 | 402 | 38 |
| 4 | 1018 | 38 |
| 5 | 1911 | 38 |
| 6 | 2888 | 38 |
| 7 | 4219 | 38 |
| 8 | 5397 | 38 |
| 9 | 6013 | 38 |
| 10 | 6158 | 38 |
| 11 | 6169 | 38 |
| 12 | 6173 | 38 |
| 13 | 6359 | 38 |
| 14 | 6416 | 38 |
| 15 | 6416 | 38 |
| 16 | 6416 | 38 |
| 0 | 2 | 2 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
| Inputs |
|---|
(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand))) |
(*.f64 (-.f64 rand (/.f64 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 rand (/.f64 1 3))))) a))) |
| Outputs |
|---|
(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand))) |
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) rand))) |
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 (*.f64 a 9) -3))))) |
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) |
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) |
(*.f64 (-.f64 rand (/.f64 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 rand (/.f64 1 3))))) a))) |
(*.f64 (+.f64 rand -1/3) (+.f64 1 (*.f64 a (/.f64 1 (sqrt.f64 (*.f64 9 (+.f64 rand -1/3))))))) |
(*.f64 (+.f64 rand -1/3) (+.f64 1 (/.f64 a (sqrt.f64 (+.f64 (*.f64 rand 9) -3))))) |
(*.f64 (+.f64 rand -1/3) (+.f64 1 (/.f64 a (sqrt.f64 (fma.f64 9 rand -3))))) |
(*.f64 (-.f64 rand 1/3) (+.f64 1 (/.f64 a (sqrt.f64 (fma.f64 9 rand -3))))) |
Compiled 24 to 21 computations (12.5% saved)
| 1× | egg-herbie |
| 1035× | fma-def_binary64 |
| 742× | fma-neg_binary64 |
| 189× | distribute-rgt-in_binary64 |
| 173× | cancel-sign-sub-inv_binary64 |
| 157× | distribute-lft-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 24 |
| 1 | 32 | 21 |
| 2 | 82 | 19 |
| 3 | 203 | 19 |
| 4 | 510 | 19 |
| 5 | 968 | 19 |
| 6 | 1468 | 19 |
| 7 | 2419 | 19 |
| 8 | 3619 | 19 |
| 9 | 4100 | 19 |
| 10 | 4256 | 19 |
| 11 | 4295 | 19 |
| 12 | 4295 | 19 |
| 13 | 4848 | 19 |
| 14 | 4848 | 19 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand))) |
| Outputs |
|---|
(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand))) |
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) rand))) |
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 (*.f64 a 9) -3))))) |
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) |
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) |
Compiled 35 to 29 computations (17.1% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 2 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.1b | (*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand))) |
| ▶ | 0.1b | (*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) |
Compiled 37 to 31 computations (16.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (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 | @ | inf | (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 | |
|---|---|---|---|---|
| 3.0ms | a | @ | inf | (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) |
| 2.0ms | a | @ | 0 | (*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand))) |
| 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 |
|---|---|---|
| 47.0b | (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) | |
| 0.6b | (*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a))))) | |
| ▶ | 0.1b | (*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3))))) |
| ▶ | 0.4b | (-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3) |
| 46.7b | (*.f64 rand (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (+.f64 a -1/3))) | |
| 52.8b | (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) | |
| ▶ | 0.1b | (fma.f64 (*.f64 (+.f64 a -1/3) (pow.f64 (fma.f64 9 a -3) -1/2)) rand (+.f64 a -1/3)) |
| ▶ | 17.0b | (-.f64 a 1/3) |
| 18.0b | a | |
| ▶ | 46.7b | (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)) |
Compiled 241 to 192 computations (20.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (fma.f64 (*.f64 (+.f64 a -1/3) (pow.f64 (fma.f64 9 a -3) -1/2)) rand (+.f64 a -1/3)) |
| ✓ | 0.0b | (fma.f64 9 a -3) |
| ✓ | 0.2b | (pow.f64 (fma.f64 9 a -3) -1/2) |
| ✓ | 0.2b | (*.f64 (+.f64 a -1/3) (pow.f64 (fma.f64 9 a -3) -1/2)) |
Compiled 46 to 35 computations (23.9% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | rand | @ | -inf | (fma.f64 (*.f64 (+.f64 a -1/3) (pow.f64 (fma.f64 9 a -3) -1/2)) rand (+.f64 a -1/3)) |
| 3.0ms | a | @ | -inf | (*.f64 (+.f64 a -1/3) (pow.f64 (fma.f64 9 a -3) -1/2)) |
| 2.0ms | a | @ | 0 | (*.f64 (+.f64 a -1/3) (pow.f64 (fma.f64 9 a -3) -1/2)) |
| 1.0ms | a | @ | inf | (*.f64 (+.f64 a -1/3) (pow.f64 (fma.f64 9 a -3) -1/2)) |
| 1.0ms | rand | @ | 0 | (fma.f64 (*.f64 (+.f64 a -1/3) (pow.f64 (fma.f64 9 a -3) -1/2)) rand (+.f64 a -1/3)) |
| 1× | batch-egg-rewrite |
| 499× | log-prod_binary64 |
| 398× | exp-prod_binary64 |
| 320× | pow-prod-down_binary64 |
| 316× | pow2_binary64 |
| 219× | expm1-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 48 |
| 1 | 260 | 48 |
| 2 | 3001 | 48 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (+.f64 a -1/3) (pow.f64 (fma.f64 9 a -3) -1/2)) |
(pow.f64 (fma.f64 9 a -3) -1/2) |
(fma.f64 9 a -3) |
(fma.f64 (*.f64 (+.f64 a -1/3) (pow.f64 (fma.f64 9 a -3) -1/2)) rand (+.f64 a -1/3)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 a -1/3) (pow.f64 (fma.f64 a 9 -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (pow.f64 (fma.f64 a 9 -3) -1/2)) (*.f64 -1/3 (pow.f64 (fma.f64 a 9 -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/3 (pow.f64 (fma.f64 a 9 -3) -1/2)) (*.f64 a (pow.f64 (fma.f64 a 9 -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) a) (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) -1/3) (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (pow.f64 (fma.f64 a 9 -3) -1/2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (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 (+.f64 a -1/3)) (pow.f64 (fma.f64 a 9 -3) -1/2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (pow.f64 (fma.f64 a 9 -3) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (pow.f64 (fma.f64 a 9 -3) -1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (pow.f64 (fma.f64 a 9 -3) -1/2)) (-.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) (pow.f64 (fma.f64 a 9 -3) -1/2)) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (+.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 (pow.f64 (fma.f64 a 9 -3) -1/2) (fma.f64 a a -1/9)) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 a -1/3) (pow.f64 (fma.f64 a 9 -3) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1 (fma.f64 a 9 -3)) (pow.f64 (+.f64 a -1/3) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -3/2) (pow.f64 (+.f64 a -1/3) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/6) (cbrt.f64 (+.f64 a -1/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (pow.f64 (fma.f64 a 9 -3) -1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (+.f64 a -1/3) (pow.f64 (fma.f64 a 9 -3) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (+.f64 a -1/3) (pow.f64 (fma.f64 a 9 -3) -1/2)))) 2)) (cbrt.f64 (log.f64 (*.f64 (+.f64 a -1/3) (pow.f64 (fma.f64 a 9 -3) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 a -1/3) (pow.f64 (fma.f64 a 9 -3) -1/2))))) (sqrt.f64 (log.f64 (*.f64 (+.f64 a -1/3) (pow.f64 (fma.f64 a 9 -3) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (/.f64 1 (fma.f64 a 9 -3)) (pow.f64 (+.f64 a -1/3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (pow.f64 (fma.f64 a 9 -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 a -1/3) (pow.f64 (fma.f64 a 9 -3) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -3/2) (pow.f64 (+.f64 a -1/3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (pow.f64 (fma.f64 a 9 -3) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 a -1/3) (pow.f64 (fma.f64 a 9 -3) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 a -1/3) (pow.f64 (fma.f64 a 9 -3) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a -1/3) (pow.f64 (fma.f64 a 9 -3) -1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (+.f64 a -1/3) (pow.f64 (fma.f64 a 9 -3) -1/2)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/6) (cbrt.f64 (+.f64 a -1/3)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (pow.f64 (fma.f64 a 9 -3) -1/4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (+.f64 a -1/3) (pow.f64 (fma.f64 a 9 -3) -1/2))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 -1/3 (pow.f64 (fma.f64 a 9 -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/3 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 a (pow.f64 (fma.f64 a 9 -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) a (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) -1/3 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) a)))))) |
((#(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 (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) -1/6) (cbrt.f64 (/.f64 1 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (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) -1/4) (pow.f64 (fma.f64 a 9 -3) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) -1) (pow.f64 (fma.f64 a 9 -3) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))))) (#(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 (*.f64 -1/2 (log.f64 (fma.f64 a 9 -3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 a 9 -3) -3/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 a 9 -3) 2)) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 a 9 -3) -1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/4 (log.f64 (fma.f64 a 9 -3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 a 9 -3)) 1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 -1/2 (log.f64 (fma.f64 a 9 -3))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 a 9 -3)) -1/4) 2)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -3 (*.f64 a 9))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a 9) -3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.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 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 a 9 -3))) 2)) (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 1 (fma.f64 a 9 -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (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 (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) 2)) (cbrt.f64 (fma.f64 a 9 -3)))))) (#(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 (+.f64 (pow.f64 (*.f64 a 9) 3) -27) (+.f64 (pow.f64 (*.f64 a 9) 2) (-.f64 9 (*.f64 (*.f64 a 9) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 a 9) 2) 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 (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 pow.f64 (sqrt.f64 (fma.f64 a 9 -3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 a 9 -3))) 2)) (cbrt.f64 (log.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 a 9 -3)))) (sqrt.f64 (log.f64 (fma.f64 a 9 -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))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 a 9 -3))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 a 9 -3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 a 9 -3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 a 9 -3)) 1) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 a -1/3) (*.f64 (+.f64 a -1/3) (*.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 (pow.f64 (fma.f64 a 9 -3) -1/2) rand)) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (+.f64 a -1/3) (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (+.f64 a -1/3) (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand)) 1) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (+.f64 a -1/3) (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) a) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (+.f64 a -1/3) (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) -1/3) a)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (+.f64 a -1/3) (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) (+.f64 a -1/3)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (+.f64 a -1/3) (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (+.f64 a -1/3) (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) (+.f64 a -1/3))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (+.f64 a -1/3) (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 a -1/3) (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) (+.f64 a -1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (+.f64 a -1/3) (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) (+.f64 a -1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (+.f64 a -1/3) (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (+.f64 a -1/3) (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) (+.f64 a -1/3))) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 a -1/3) (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) (+.f64 a -1/3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 a -1/3) (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) (+.f64 a -1/3))) 2) (cbrt.f64 (fma.f64 (+.f64 a -1/3) (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (+.f64 a -1/3) (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) (+.f64 a -1/3))) (sqrt.f64 (fma.f64 (+.f64 a -1/3) (*.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 (+.f64 a -1/3) (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand)) 3) (pow.f64 (+.f64 a -1/3) 3)) (+.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand)) 2) (-.f64 (pow.f64 (+.f64 a -1/3) 2) (*.f64 (*.f64 (+.f64 a -1/3) (*.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 (+.f64 a -1/3) (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand)) 2) (pow.f64 (+.f64 a -1/3) 2)) (fma.f64 (+.f64 a -1/3) (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) (neg.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (+.f64 a -1/3) (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) (+.f64 a -1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (+.f64 a -1/3) (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) (+.f64 a -1/3)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (+.f64 a -1/3) (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) (+.f64 a -1/3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (+.f64 a -1/3) (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) (+.f64 a -1/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (+.f64 a -1/3) (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) (+.f64 a -1/3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 (+.f64 a -1/3) (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (+.f64 a -1/3) (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) (+.f64 a -1/3)))) 2)) (cbrt.f64 (log.f64 (fma.f64 (+.f64 a -1/3) (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (+.f64 a -1/3) (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) (+.f64 a -1/3))))) (sqrt.f64 (log.f64 (fma.f64 (+.f64 a -1/3) (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (+.f64 a -1/3) (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) (+.f64 a -1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (+.f64 a -1/3) (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 a -1/3) (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 a -1/3))) (pow.f64 (exp.f64 rand) (*.f64 (+.f64 a -1/3) (pow.f64 (fma.f64 a 9 -3) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 rand) (*.f64 (+.f64 a -1/3) (pow.f64 (fma.f64 a 9 -3) -1/2))) (+.f64 1 (expm1.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (+.f64 a -1/3) (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) (+.f64 a -1/3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (+.f64 a -1/3) (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (+.f64 a -1/3) (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (+.f64 a -1/3) (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 a -1/3) (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) (+.f64 a -1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (+.f64 a -1/3) (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) (+.f64 a -1/3)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (+.f64 a -1/3) (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) (+.f64 a -1/3)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (+.f64 a -1/3) (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) (+.f64 a -1/3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (+.f64 a -1/3) (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) (+.f64 a -1/3))) 1) 1)))))) |
| 1× | egg-herbie |
| 763× | associate-/l*_binary64 |
| 602× | fma-def_binary64 |
| 302× | distribute-rgt-out_binary64 |
| 278× | distribute-rgt-in_binary64 |
| 268× | distribute-lft-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 127 | 1273 |
| 1 | 351 | 1172 |
| 2 | 991 | 1011 |
| 3 | 4108 | 823 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/3 (sqrt.f64 -1/3)) |
(+.f64 (*.f64 -1/3 (sqrt.f64 -1/3)) (*.f64 (+.f64 (*.f64 1/6 (/.f64 1 (sqrt.f64 -1/3))) (sqrt.f64 -1/3)) a)) |
(+.f64 (*.f64 -1/3 (sqrt.f64 -1/3)) (+.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3))) (*.f64 1/2 (/.f64 1 (sqrt.f64 -1/3)))) (pow.f64 a 2)) (*.f64 (+.f64 (*.f64 1/6 (/.f64 1 (sqrt.f64 -1/3))) (sqrt.f64 -1/3)) a))) |
(+.f64 (*.f64 -1/3 (sqrt.f64 -1/3)) (+.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3))) (*.f64 1/2 (/.f64 1 (sqrt.f64 -1/3)))) (pow.f64 a 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/6 (/.f64 1 (sqrt.f64 -1/3))) (sqrt.f64 -1/3)) a) (*.f64 (+.f64 (*.f64 1/6 (/.f64 (+.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 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)))) (pow.f64 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)))))) |
-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) |
(-.f64 (*.f64 -1/3 (*.f64 rand (sqrt.f64 -1/3))) 1/3) |
(-.f64 (+.f64 (*.f64 a (+.f64 (*.f64 (+.f64 (*.f64 1/6 (/.f64 1 (sqrt.f64 -1/3))) (sqrt.f64 -1/3)) rand) 1)) (*.f64 -1/3 (*.f64 rand (sqrt.f64 -1/3)))) 1/3) |
(-.f64 (+.f64 (*.f64 a (+.f64 (*.f64 (+.f64 (*.f64 1/6 (/.f64 1 (sqrt.f64 -1/3))) (sqrt.f64 -1/3)) rand) 1)) (+.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3))) (*.f64 1/2 (/.f64 1 (sqrt.f64 -1/3)))) (*.f64 (pow.f64 a 2) rand)) (*.f64 -1/3 (*.f64 rand (sqrt.f64 -1/3))))) 1/3) |
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 1/6 (/.f64 (+.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 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)))) (*.f64 (pow.f64 a 3) rand)) (+.f64 (*.f64 a (+.f64 (*.f64 (+.f64 (*.f64 1/6 (/.f64 1 (sqrt.f64 -1/3))) (sqrt.f64 -1/3)) rand) 1)) (+.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3))) (*.f64 1/2 (/.f64 1 (sqrt.f64 -1/3)))) (*.f64 (pow.f64 a 2) rand)) (*.f64 -1/3 (*.f64 rand (sqrt.f64 -1/3)))))) 1/3) |
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 -1/3 (sqrt.f64 -1/3)) |
(+.f64 (*.f64 -1/3 (sqrt.f64 -1/3)) (*.f64 (+.f64 (*.f64 1/6 (/.f64 1 (sqrt.f64 -1/3))) (sqrt.f64 -1/3)) a)) |
(fma.f64 -1/3 (sqrt.f64 -1/3) (*.f64 (+.f64 (sqrt.f64 -1/3) (/.f64 1/6 (sqrt.f64 -1/3))) a)) |
(+.f64 (*.f64 (/.f64 1/6 (sqrt.f64 -1/3)) a) (*.f64 (sqrt.f64 -1/3) (+.f64 -1/3 a))) |
(+.f64 (*.f64 -1/3 (sqrt.f64 -1/3)) (+.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3))) (*.f64 1/2 (/.f64 1 (sqrt.f64 -1/3)))) (pow.f64 a 2)) (*.f64 (+.f64 (*.f64 1/6 (/.f64 1 (sqrt.f64 -1/3))) (sqrt.f64 -1/3)) a))) |
(fma.f64 -1/3 (sqrt.f64 -1/3) (fma.f64 (fma.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)) (neg.f64 (/.f64 1/2 (sqrt.f64 -1/3)))) (*.f64 a a) (*.f64 (+.f64 (sqrt.f64 -1/3) (/.f64 1/6 (sqrt.f64 -1/3))) a))) |
(fma.f64 -1/3 (sqrt.f64 -1/3) (fma.f64 (+.f64 (sqrt.f64 -1/3) (/.f64 1/6 (sqrt.f64 -1/3))) a (*.f64 a (*.f64 a (fma.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)) (/.f64 -1/2 (sqrt.f64 -1/3))))))) |
(fma.f64 -1/3 (sqrt.f64 -1/3) (*.f64 a (+.f64 (+.f64 (sqrt.f64 -1/3) (/.f64 1/6 (sqrt.f64 -1/3))) (*.f64 a (fma.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)) (/.f64 -1/2 (sqrt.f64 -1/3))))))) |
(fma.f64 -1/3 (sqrt.f64 -1/3) (*.f64 a (+.f64 (+.f64 (sqrt.f64 -1/3) (/.f64 1/6 (sqrt.f64 -1/3))) (*.f64 a (+.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) (/.f64 3/8 (sqrt.f64 -1/3))))))) |
(+.f64 (*.f64 -1/3 (sqrt.f64 -1/3)) (+.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3))) (*.f64 1/2 (/.f64 1 (sqrt.f64 -1/3)))) (pow.f64 a 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/6 (/.f64 1 (sqrt.f64 -1/3))) (sqrt.f64 -1/3)) a) (*.f64 (+.f64 (*.f64 1/6 (/.f64 (+.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 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)))) (pow.f64 a 3))))) |
(fma.f64 -1/3 (sqrt.f64 -1/3) (fma.f64 (fma.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)) (neg.f64 (/.f64 1/2 (sqrt.f64 -1/3)))) (*.f64 a a) (fma.f64 (+.f64 (sqrt.f64 -1/3) (/.f64 1/6 (sqrt.f64 -1/3))) a (*.f64 (fma.f64 1/6 (/.f64 (+.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 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)))) (pow.f64 a 3))))) |
(fma.f64 -1/3 (sqrt.f64 -1/3) (fma.f64 (fma.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)) (/.f64 -1/2 (sqrt.f64 -1/3))) (*.f64 a a) (fma.f64 (+.f64 (sqrt.f64 -1/3) (/.f64 1/6 (sqrt.f64 -1/3))) a (*.f64 (fma.f64 1/6 (/.f64 (fma.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) -1/3) 9) (sqrt.f64 -1/3)) (*.f64 -1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)))) (pow.f64 a 3))))) |
(fma.f64 -1/3 (sqrt.f64 -1/3) (fma.f64 (+.f64 (/.f64 (fma.f64 1/6 (*.f64 -3/2 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2))) 3/2) (sqrt.f64 -1/3)) (/.f64 (fma.f64 -1/2 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2) -3/2) (sqrt.f64 -1/3))) (pow.f64 a 3) (*.f64 a (+.f64 (+.f64 (sqrt.f64 -1/3) (/.f64 1/6 (sqrt.f64 -1/3))) (*.f64 a (fma.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)) (/.f64 -1/2 (sqrt.f64 -1/3)))))))) |
(fma.f64 -1/3 (sqrt.f64 -1/3) (*.f64 a (+.f64 (+.f64 (sqrt.f64 -1/3) (/.f64 1/6 (sqrt.f64 -1/3))) (*.f64 a (+.f64 (*.f64 a (+.f64 (/.f64 15/16 (sqrt.f64 -1/3)) (/.f64 -9/8 (sqrt.f64 -1/3)))) (+.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) (/.f64 3/8 (sqrt.f64 -1/3)))))))) |
(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 (+.f64 (*.f64 a 3/2) 1) (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 (*.f64 (+.f64 (*.f64 a 3/2) 1) (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 27/8 (*.f64 a 135/16))) (*.f64 (sqrt.f64 -1/3) (fma.f64 a 3/2 1))) |
(*.f64 (sqrt.f64 -1/3) (+.f64 (fma.f64 (pow.f64 a 3) 135/16 1) (*.f64 a (+.f64 3/2 (*.f64 a 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 (*.f64 (pow.f64 a -1/2) (pow.f64 9 -1/2)) a) (*.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 (*.f64 (pow.f64 a -1/2) (pow.f64 9 -1/2)) a) (+.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 1/6 (/.f64 1/24 a)))) |
(+.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 (*.f64 (pow.f64 a -1/2) (pow.f64 9 -1/2)) a) (fma.f64 (pow.f64 a -1/2) (pow.f64 9 -1/2) (*.f64 (/.f64 (*.f64 (pow.f64 a -1/2) (pow.f64 9 -1/2)) (*.f64 a 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 (/.f64 5/432 (*.f64 a a)) (+.f64 1/6 (/.f64 1/24 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 1/6 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) a) (*.f64 1/24 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) (*.f64 a 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 1/6 (/.f64 1/24 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 1/24 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 (*.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 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) (fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) 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) a) (/.f64 (pow.f64 (/.f64 -1 a) 1/2) 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)))))) |
-3 |
(-.f64 (*.f64 9 a) 3) |
(fma.f64 9 a -3) |
(fma.f64 a 9 -3) |
(-.f64 (*.f64 9 a) 3) |
(fma.f64 9 a -3) |
(fma.f64 a 9 -3) |
(-.f64 (*.f64 9 a) 3) |
(fma.f64 9 a -3) |
(fma.f64 a 9 -3) |
(*.f64 9 a) |
(*.f64 a 9) |
(-.f64 (*.f64 9 a) 3) |
(fma.f64 9 a -3) |
(fma.f64 a 9 -3) |
(-.f64 (*.f64 9 a) 3) |
(fma.f64 9 a -3) |
(fma.f64 a 9 -3) |
(-.f64 (*.f64 9 a) 3) |
(fma.f64 9 a -3) |
(fma.f64 a 9 -3) |
(*.f64 9 a) |
(*.f64 a 9) |
(-.f64 (*.f64 9 a) 3) |
(fma.f64 9 a -3) |
(fma.f64 a 9 -3) |
(-.f64 (*.f64 9 a) 3) |
(fma.f64 9 a -3) |
(fma.f64 a 9 -3) |
(-.f64 (*.f64 9 a) 3) |
(fma.f64 9 a -3) |
(fma.f64 a 9 -3) |
(-.f64 (*.f64 -1/3 (*.f64 rand (sqrt.f64 -1/3))) 1/3) |
(fma.f64 -1/3 (*.f64 (sqrt.f64 -1/3) rand) -1/3) |
(*.f64 -1/3 (fma.f64 (sqrt.f64 -1/3) rand 1)) |
(-.f64 (+.f64 (*.f64 a (+.f64 (*.f64 (+.f64 (*.f64 1/6 (/.f64 1 (sqrt.f64 -1/3))) (sqrt.f64 -1/3)) rand) 1)) (*.f64 -1/3 (*.f64 rand (sqrt.f64 -1/3)))) 1/3) |
(+.f64 (*.f64 a (fma.f64 (+.f64 (sqrt.f64 -1/3) (/.f64 1/6 (sqrt.f64 -1/3))) rand 1)) (fma.f64 -1/3 (*.f64 (sqrt.f64 -1/3) rand) -1/3)) |
(fma.f64 a (fma.f64 (+.f64 (sqrt.f64 -1/3) (/.f64 1/6 (sqrt.f64 -1/3))) rand 1) (fma.f64 -1/3 (*.f64 (sqrt.f64 -1/3) rand) -1/3)) |
(fma.f64 (fma.f64 (sqrt.f64 -1/3) rand 1) -1/3 (fma.f64 (+.f64 (sqrt.f64 -1/3) (/.f64 1/6 (sqrt.f64 -1/3))) (*.f64 a rand) a)) |
(-.f64 (+.f64 (*.f64 a (+.f64 (*.f64 (+.f64 (*.f64 1/6 (/.f64 1 (sqrt.f64 -1/3))) (sqrt.f64 -1/3)) rand) 1)) (+.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3))) (*.f64 1/2 (/.f64 1 (sqrt.f64 -1/3)))) (*.f64 (pow.f64 a 2) rand)) (*.f64 -1/3 (*.f64 rand (sqrt.f64 -1/3))))) 1/3) |
(+.f64 (fma.f64 a (fma.f64 (+.f64 (sqrt.f64 -1/3) (/.f64 1/6 (sqrt.f64 -1/3))) rand 1) (fma.f64 (fma.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)) (neg.f64 (/.f64 1/2 (sqrt.f64 -1/3)))) (*.f64 (*.f64 a a) rand) (*.f64 -1/3 (*.f64 (sqrt.f64 -1/3) rand)))) -1/3) |
(+.f64 -1/3 (fma.f64 a (fma.f64 (+.f64 (sqrt.f64 -1/3) (/.f64 1/6 (sqrt.f64 -1/3))) rand 1) (fma.f64 -1/3 (*.f64 (sqrt.f64 -1/3) rand) (*.f64 (fma.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)) (/.f64 -1/2 (sqrt.f64 -1/3))) (*.f64 a (*.f64 a rand)))))) |
(+.f64 -1/3 (fma.f64 a (fma.f64 (+.f64 (sqrt.f64 -1/3) (/.f64 1/6 (sqrt.f64 -1/3))) rand 1) (*.f64 rand (fma.f64 a (*.f64 a (fma.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)) (/.f64 -1/2 (sqrt.f64 -1/3)))) (*.f64 -1/3 (sqrt.f64 -1/3)))))) |
(fma.f64 a (fma.f64 (+.f64 (sqrt.f64 -1/3) (/.f64 1/6 (sqrt.f64 -1/3))) rand 1) (fma.f64 rand (fma.f64 -1/3 (sqrt.f64 -1/3) (*.f64 a (*.f64 a (+.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) (/.f64 3/8 (sqrt.f64 -1/3)))))) -1/3)) |
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 1/6 (/.f64 (+.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 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)))) (*.f64 (pow.f64 a 3) rand)) (+.f64 (*.f64 a (+.f64 (*.f64 (+.f64 (*.f64 1/6 (/.f64 1 (sqrt.f64 -1/3))) (sqrt.f64 -1/3)) rand) 1)) (+.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3))) (*.f64 1/2 (/.f64 1 (sqrt.f64 -1/3)))) (*.f64 (pow.f64 a 2) rand)) (*.f64 -1/3 (*.f64 rand (sqrt.f64 -1/3)))))) 1/3) |
(+.f64 (fma.f64 (fma.f64 1/6 (/.f64 (+.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 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)))) (*.f64 (pow.f64 a 3) rand) (fma.f64 a (fma.f64 (+.f64 (sqrt.f64 -1/3) (/.f64 1/6 (sqrt.f64 -1/3))) rand 1) (fma.f64 (fma.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)) (neg.f64 (/.f64 1/2 (sqrt.f64 -1/3)))) (*.f64 (*.f64 a a) rand) (*.f64 -1/3 (*.f64 (sqrt.f64 -1/3) rand))))) -1/3) |
(+.f64 -1/3 (fma.f64 (fma.f64 1/6 (/.f64 (fma.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) -1/3) 9) (sqrt.f64 -1/3)) (*.f64 -1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)))) (*.f64 (pow.f64 a 3) rand) (fma.f64 a (fma.f64 (+.f64 (sqrt.f64 -1/3) (/.f64 1/6 (sqrt.f64 -1/3))) rand 1) (fma.f64 -1/3 (*.f64 (sqrt.f64 -1/3) rand) (*.f64 (fma.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)) (/.f64 -1/2 (sqrt.f64 -1/3))) (*.f64 a (*.f64 a rand))))))) |
(+.f64 -1/3 (fma.f64 a (fma.f64 (+.f64 (sqrt.f64 -1/3) (/.f64 1/6 (sqrt.f64 -1/3))) rand 1) (fma.f64 (+.f64 (/.f64 (fma.f64 1/6 (*.f64 -3/2 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2))) 3/2) (sqrt.f64 -1/3)) (/.f64 (fma.f64 -1/2 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2) -3/2) (sqrt.f64 -1/3))) (*.f64 (pow.f64 a 3) rand) (*.f64 rand (fma.f64 a (*.f64 a (fma.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)) (/.f64 -1/2 (sqrt.f64 -1/3)))) (*.f64 -1/3 (sqrt.f64 -1/3))))))) |
(+.f64 -1/3 (+.f64 (*.f64 rand (fma.f64 -1/3 (sqrt.f64 -1/3) (*.f64 a (+.f64 (+.f64 (sqrt.f64 -1/3) (/.f64 1/6 (sqrt.f64 -1/3))) (*.f64 a (+.f64 (*.f64 a (+.f64 (/.f64 15/16 (sqrt.f64 -1/3)) (/.f64 -9/8 (sqrt.f64 -1/3)))) (+.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) (/.f64 3/8 (sqrt.f64 -1/3))))))))) a)) |
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 (+.f64 a -1/3) (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))) 1/3)) |
(+.f64 -1/3 (fma.f64 (*.f64 rand (+.f64 -1/3 a)) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) 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 (+.f64 a -1/3) (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))) 1/3)) |
(+.f64 -1/3 (fma.f64 (*.f64 rand (+.f64 -1/3 a)) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) 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 (+.f64 a -1/3) (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))) 1/3)) |
(+.f64 -1/3 (fma.f64 (*.f64 rand (+.f64 -1/3 a)) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) 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 (+.f64 a -1/3) (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))) |
(*.f64 (*.f64 rand (+.f64 -1/3 a)) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) |
(*.f64 rand (*.f64 (+.f64 -1/3 a) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -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 (+.f64 a -1/3) (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))) 1/3)) |
(+.f64 -1/3 (fma.f64 (*.f64 rand (+.f64 -1/3 a)) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) 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 (+.f64 a -1/3) (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))) 1/3)) |
(+.f64 -1/3 (fma.f64 (*.f64 rand (+.f64 -1/3 a)) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) 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 (+.f64 a -1/3) (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))) 1/3)) |
(+.f64 -1/3 (fma.f64 (*.f64 rand (+.f64 -1/3 a)) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) 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 (+.f64 a -1/3) (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))) |
(*.f64 (*.f64 rand (+.f64 -1/3 a)) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) |
(*.f64 rand (*.f64 (+.f64 -1/3 a) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -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 (+.f64 a -1/3) (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))) 1/3)) |
(+.f64 -1/3 (fma.f64 (*.f64 rand (+.f64 -1/3 a)) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) 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 (+.f64 a -1/3) (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))) 1/3)) |
(+.f64 -1/3 (fma.f64 (*.f64 rand (+.f64 -1/3 a)) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) 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 (+.f64 a -1/3) (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))) 1/3)) |
(+.f64 -1/3 (fma.f64 (*.f64 rand (+.f64 -1/3 a)) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) 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) |
| ✓ | 0.4b | (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)) |
Compiled 24 to 17 computations (29.2% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | a | @ | -inf | (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)) |
| 1.0ms | rand | @ | 0 | (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)) |
| 1.0ms | a | @ | 0 | (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)) |
| 1.0ms | a | @ | inf | (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)) |
| 1.0ms | a | @ | -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 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) |
| ✓ | 0.5b | (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
Compiled 48 to 34 computations (29.2% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 28.0ms | rand | @ | -inf | (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand) |
| 1.0ms | a | @ | -inf | (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
| 1.0ms | a | @ | -inf | (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand) |
| 0.0ms | a | @ | inf | (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand) |
| 0.0ms | a | @ | 0 | (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand) |
| 1× | batch-egg-rewrite |
| 861× | pow1_binary64 |
| 801× | add-log-exp_binary64 |
| 801× | log1p-expm1-u_binary64 |
| 801× | expm1-log1p-u_binary64 |
| 785× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 27 |
| 1 | 174 | 27 |
| 2 | 2153 | 27 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 (sqrt.f64 (-.f64 a 1/3)) rand) |
(sqrt.f64 (-.f64 a 1/3)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3))) rand))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 3/2) (pow.f64 rand 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 rand 3) (pow.f64 (+.f64 a -1/3) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (+.f64 a -1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 a -1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (cbrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 a -1/3)) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 a -1/3) 1/4) (pow.f64 (+.f64 a -1/3) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (sqrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 a -1/3) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 a -1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 a -1/3) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 a -1/3) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 a -1/3) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (+.f64 a -1/3)))))))) |
| 1× | egg-herbie |
| 727× | distribute-rgt-out_binary64 |
| 626× | associate-*r*_binary64 |
| 586× | associate-*l*_binary64 |
| 582× | associate-*l/_binary64 |
| 524× | associate-/r*_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 324 |
| 1 | 156 | 310 |
| 2 | 485 | 306 |
| 3 | 1743 | 287 |
| 4 | 6563 | 277 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) |
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3)))) |
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))))) |
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (*.f64 1/48 (/.f64 (*.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5)))))) |
(*.f64 rand (sqrt.f64 -1/3)) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (*.f64 rand (sqrt.f64 -1/3))) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))))) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3)))))) |
(sqrt.f64 -1/3) |
(+.f64 (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3)) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3))) |
(+.f64 (*.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3)))) |
| Outputs |
|---|
(*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) |
(*.f64 (sqrt.f64 -1/3) (*.f64 1/3 rand)) |
(*.f64 rand (*.f64 1/3 (sqrt.f64 -1/3))) |
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3)))) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 1/6 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)))) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 (/.f64 a (sqrt.f64 -1/3)) (*.f64 rand 1/6))) |
(*.f64 rand (+.f64 (*.f64 1/3 (sqrt.f64 -1/3)) (*.f64 1/6 (/.f64 a (sqrt.f64 -1/3))))) |
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))))) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (*.f64 -1/24 (/.f64 (*.f64 rand (*.f64 a a)) (pow.f64 (sqrt.f64 -1/3) 3))))) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (*.f64 1/8 (/.f64 (*.f64 rand (*.f64 a a)) (sqrt.f64 -1/3))))) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (*.f64 rand (/.f64 a (sqrt.f64 -1/3))) (/.f64 (*.f64 1/8 (*.f64 rand (*.f64 a a))) (sqrt.f64 -1/3)))) |
(fma.f64 1/8 (*.f64 (*.f64 a a) (/.f64 rand (sqrt.f64 -1/3))) (*.f64 rand (+.f64 (*.f64 1/3 (sqrt.f64 -1/3)) (*.f64 1/6 (/.f64 a (sqrt.f64 -1/3)))))) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 (*.f64 rand (/.f64 a (sqrt.f64 -1/3))) (+.f64 (*.f64 -1/24 (/.f64 a -1/3)) 1/6))) |
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (*.f64 1/48 (/.f64 (*.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5)))))) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (fma.f64 -1/24 (/.f64 (*.f64 rand (*.f64 a a)) (pow.f64 (sqrt.f64 -1/3) 3)) (*.f64 1/48 (/.f64 (*.f64 rand (pow.f64 a 3)) (pow.f64 (sqrt.f64 -1/3) 5)))))) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (fma.f64 1/48 (/.f64 rand (/.f64 (pow.f64 (sqrt.f64 -1/3) 5) (pow.f64 a 3))) (*.f64 1/8 (/.f64 (*.f64 rand (*.f64 a a)) (sqrt.f64 -1/3)))))) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (*.f64 rand (/.f64 a (sqrt.f64 -1/3))) (fma.f64 1/48 (*.f64 rand (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) (/.f64 (*.f64 1/8 (*.f64 rand (*.f64 a a))) (sqrt.f64 -1/3))))) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/8 (*.f64 (*.f64 a a) (/.f64 rand (sqrt.f64 -1/3))) (*.f64 rand (+.f64 (*.f64 1/6 (/.f64 a (sqrt.f64 -1/3))) (/.f64 (*.f64 1/48 (pow.f64 a 3)) (pow.f64 (sqrt.f64 -1/3) 5)))))) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/48 (*.f64 (pow.f64 a 3) (/.f64 rand (pow.f64 (sqrt.f64 -1/3) 5))) (*.f64 (*.f64 rand (/.f64 a (sqrt.f64 -1/3))) (+.f64 (*.f64 -1/24 (/.f64 a -1/3)) 1/6)))) |
(*.f64 rand (sqrt.f64 -1/3)) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (*.f64 rand (sqrt.f64 -1/3))) |
(fma.f64 1/2 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (*.f64 rand (sqrt.f64 -1/3))) |
(fma.f64 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) 1/2 (*.f64 rand (sqrt.f64 -1/3))) |
(fma.f64 rand (sqrt.f64 -1/3) (*.f64 (/.f64 a (/.f64 (sqrt.f64 -1/3) 1/2)) rand)) |
(*.f64 rand (fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (sqrt.f64 -1/3))) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))))) |
(fma.f64 1/2 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (fma.f64 rand (sqrt.f64 -1/3) (*.f64 (/.f64 (*.f64 rand (*.f64 a a)) (pow.f64 (sqrt.f64 -1/3) 3)) -1/8))) |
(fma.f64 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) 1/2 (fma.f64 rand (sqrt.f64 -1/3) (*.f64 3/8 (/.f64 (*.f64 rand (*.f64 a a)) (sqrt.f64 -1/3))))) |
(fma.f64 rand (sqrt.f64 -1/3) (fma.f64 (*.f64 rand (/.f64 a (sqrt.f64 -1/3))) 1/2 (*.f64 (/.f64 (/.f64 (*.f64 a a) 8/3) (sqrt.f64 -1/3)) rand))) |
(fma.f64 rand (sqrt.f64 -1/3) (*.f64 rand (*.f64 (/.f64 a (sqrt.f64 -1/3)) (+.f64 1/2 (*.f64 -1/8 (/.f64 a -1/3)))))) |
(fma.f64 rand (sqrt.f64 -1/3) (*.f64 (*.f64 rand (/.f64 a (sqrt.f64 -1/3))) (+.f64 1/2 (*.f64 -1/8 (/.f64 a -1/3))))) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3)))))) |
(fma.f64 1/2 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (fma.f64 rand (sqrt.f64 -1/3) (fma.f64 1/16 (/.f64 (*.f64 rand (pow.f64 a 3)) (pow.f64 (sqrt.f64 -1/3) 5)) (*.f64 (/.f64 (*.f64 rand (*.f64 a a)) (pow.f64 (sqrt.f64 -1/3) 3)) -1/8)))) |
(fma.f64 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) 1/2 (fma.f64 rand (sqrt.f64 -1/3) (fma.f64 (/.f64 rand (/.f64 (pow.f64 (sqrt.f64 -1/3) 5) (pow.f64 a 3))) 1/16 (*.f64 3/8 (/.f64 (*.f64 rand (*.f64 a a)) (sqrt.f64 -1/3)))))) |
(fma.f64 rand (sqrt.f64 -1/3) (fma.f64 (*.f64 rand (/.f64 a (sqrt.f64 -1/3))) 1/2 (fma.f64 (*.f64 rand (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) 1/16 (*.f64 (/.f64 (/.f64 (*.f64 a a) 8/3) (sqrt.f64 -1/3)) rand)))) |
(+.f64 (*.f64 rand (+.f64 (sqrt.f64 -1/3) (*.f64 (pow.f64 a 3) (/.f64 1/16 (pow.f64 (sqrt.f64 -1/3) 5))))) (*.f64 rand (*.f64 (/.f64 a (sqrt.f64 -1/3)) (+.f64 1/2 (*.f64 -1/8 (/.f64 a -1/3)))))) |
(+.f64 (*.f64 rand (fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (sqrt.f64 -1/3))) (*.f64 (*.f64 rand (*.f64 a a)) (+.f64 (/.f64 3/8 (sqrt.f64 -1/3)) (/.f64 (*.f64 a 1/16) (pow.f64 (sqrt.f64 -1/3) 5))))) |
(sqrt.f64 -1/3) |
(+.f64 (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3)) |
(fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (sqrt.f64 -1/3)) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3))) |
(fma.f64 -1/8 (/.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -1/3) 3)) (fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (sqrt.f64 -1/3))) |
(+.f64 (fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (sqrt.f64 -1/3)) (*.f64 3/8 (/.f64 (*.f64 a a) (sqrt.f64 -1/3)))) |
(fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (fma.f64 3/8 (/.f64 a (/.f64 (sqrt.f64 -1/3) a)) (sqrt.f64 -1/3))) |
(+.f64 (sqrt.f64 -1/3) (*.f64 (/.f64 a (sqrt.f64 -1/3)) (+.f64 1/2 (*.f64 -1/8 (/.f64 a -1/3))))) |
(+.f64 (*.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3)))) |
(fma.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) (fma.f64 -1/8 (/.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -1/3) 3)) (fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (sqrt.f64 -1/3)))) |
(+.f64 (fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (sqrt.f64 -1/3)) (fma.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) (*.f64 3/8 (/.f64 (*.f64 a a) (sqrt.f64 -1/3))))) |
(fma.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) (fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (fma.f64 3/8 (/.f64 a (/.f64 (sqrt.f64 -1/3) a)) (sqrt.f64 -1/3)))) |
(+.f64 (sqrt.f64 -1/3) (fma.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) (*.f64 (/.f64 a (sqrt.f64 -1/3)) (+.f64 1/2 (*.f64 -1/8 (/.f64 a -1/3)))))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.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 | |
|---|---|---|---|---|
| 1.0ms | a | @ | -inf | (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3))) |
| 1.0ms | a | @ | -inf | (*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3))))) |
| 0.0ms | rand | @ | inf | (*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3))))) |
| 0.0ms | rand | @ | 0 | (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3))) |
| 0.0ms | a | @ | 0 | (*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3))))) |
| 1× | batch-egg-rewrite |
| 746× | prod-diff_binary64 |
| 377× | fma-def_binary64 |
| 268× | log-div_binary64 |
| 248× | expm1-udef_binary64 |
| 248× | log1p-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 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 #<rule egg-rr> (2) ((x *.f64 (/.f64 rand (pow.f64 (+.f64 a -1/3) 1/4)) (/.f64 1/3 (pow.f64 (+.f64 a -1/3) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (+.f64 a -1/3) 1/4)) (/.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (/.f64 3 rand)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 rand 1/3) (neg.f64 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (*.f64 rand 1/3) 2) (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (cbrt.f64 (exp.f64 rand)) (pow.f64 (+.f64 a -1/3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 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(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 12993 to 10457 computations (19.5% saved)
11 alts after pruning (7 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 585 | 4 | 589 |
| Fresh | 2 | 3 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 3 | 4 |
| Total | 588 | 11 | 599 |
| Status | Error | Program |
|---|---|---|
| 18.0b | a | |
| ✓ | 0.4b | (-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3) |
| ✓ | 17.0b | (-.f64 a 1/3) |
| ▶ | 60.6b | (sqrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/9 (*.f64 rand rand)))) |
| ▶ | 47.0b | (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
| ▶ | 0.6b | (*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a))))) |
| ✓ | 0.1b | (*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3))))) |
| ▶ | 52.8b | (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
| 46.7b | (*.f64 rand (*.f64 (+.f64 -1/3 a) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))) | |
| ▶ | 0.1b | (-.f64 a (-.f64 1/3 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))) |
| ✓ | 46.7b | (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)) |
Compiled 220 to 174 computations (20.9% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (sqrt.f64 (+.f64 a -1/3)) | |
| ✓ | 0.2b | (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) |
| ✓ | 0.3b | (*.f64 3 (sqrt.f64 (+.f64 a -1/3))) |
| ✓ | 6.2b | (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) |
Compiled 70 to 53 computations (24.3% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | a | @ | -inf | (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) |
| 1.0ms | a | @ | -inf | (*.f64 3 (sqrt.f64 (+.f64 a -1/3))) |
| 1.0ms | a | @ | -inf | (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) |
| 1.0ms | a | @ | 0 | (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) |
| 0.0ms | a | @ | inf | (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) |
| 1× | batch-egg-rewrite |
| 536× | log-prod_binary64 |
| 401× | exp-prod_binary64 |
| 385× | pow-prod-down_binary64 |
| 280× | pow2_binary64 |
| 198× | pow-unpow_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 39 |
| 1 | 220 | 39 |
| 2 | 2964 | 33 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) |
(*.f64 3 (sqrt.f64 (+.f64 a -1/3))) |
(/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) (*.f64 -1/3 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/3 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) a) (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) -1/3) (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3))) (*.f64 rand 1/3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3))) (*.f64 rand 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3))) (*.f64 rand 1/3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3))) (*.f64 rand 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 a -1/3) (*.f64 3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))) (*.f64 (+.f64 a -1/3) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1/27 (pow.f64 a 3)) (*.f64 (*.f64 3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 a a -1/9) (*.f64 (*.f64 3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 a -1/3) rand) (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (+.f64 a -1/3) rand)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) rand) (*.f64 (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3)) (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 a a -1/9) rand) (*.f64 (+.f64 a 1/3) (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) 1) (*.f64 (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3)) (*.f64 3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 a a -1/9) 1) (*.f64 (+.f64 a 1/3) (*.f64 3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (neg.f64 rand)) (*.f64 (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 a a -1/9) (neg.f64 rand)) (*.f64 (+.f64 a 1/3) (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (*.f64 rand 1/3)) (*.f64 (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 a a -1/9) (*.f64 rand 1/3)) (*.f64 (+.f64 a 1/3) (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 rand (+.f64 -1/27 (pow.f64 a 3))) (*.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))) (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 rand) (+.f64 -1/27 (pow.f64 a 3))) (*.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3) (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 rand 1/3) (+.f64 -1/27 (pow.f64 a 3))) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 rand (fma.f64 a a -1/9)) (*.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))) (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 rand) (fma.f64 a a -1/9)) (*.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3) (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 rand 1/3) (fma.f64 a a -1/9)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) 3) (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 (+.f64 a -1/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) 1) (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) (cbrt.f64 (*.f64 (+.f64 a -1/3) 9))) (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) (sqrt.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) (-.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 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 rand) (+.f64 a -1/3)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 rand 1/3) (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 a -1/3) (neg.f64 rand)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand 1/3)) (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) (+.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 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) (fma.f64 a a -1/9)) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 1/3)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 1/3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 1/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 1/3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))) (*.f64 (+.f64 a -1/3) rand)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 1/3)))) 2)) (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 1/3))))) (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3))) (*.f64 rand 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 1/3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 1/3)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 1/3)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 1/3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 1/3))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) (*.f64 -1/3 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/3 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) a (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) -1/3 (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) a)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3))) 2)) (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3) (sqrt.f64 (+.f64 a -1/3))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3) (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 a -1/3) 9) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) 2)) (cbrt.f64 (log.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))) (sqrt.f64 (log.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (+.f64 a -1/3) 9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3) (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) 1) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))))) (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 rand rand)) (*.f64 (cbrt.f64 rand) (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) (cbrt.f64 (/.f64 (*.f64 rand rand) (*.f64 (+.f64 a -1/3) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 rand rand) (*.f64 (+.f64 a -1/3) 9))) (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 rand) (*.f64 (sqrt.f64 rand) (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 rand) (/.f64 1 (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 rand rand)) 3) (/.f64 (cbrt.f64 rand) (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 rand) 3) (/.f64 (sqrt.f64 rand) (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 rand) (sqrt.f64 (+.f64 a -1/3))) (/.f64 (sqrt.f64 rand) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 a -1/3) -1/2) (*.f64 rand 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 rand rand)) (sqrt.f64 (+.f64 a -1/3))) (/.f64 (cbrt.f64 rand) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 rand rand)) 1) (/.f64 (cbrt.f64 rand) (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 rand) 1) (/.f64 (sqrt.f64 rand) (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 (+.f64 a -1/3) 9))) (/.f64 rand (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 rand rand)) (cbrt.f64 (*.f64 (+.f64 a -1/3) 9))) (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 rand) (cbrt.f64 (*.f64 (+.f64 a -1/3) 9))) (/.f64 (sqrt.f64 rand) (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))) -1/2) (/.f64 rand (sqrt.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 rand rand)) (sqrt.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) (/.f64 (cbrt.f64 rand) (sqrt.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 rand rand) (*.f64 (+.f64 a -1/3) 9)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 rand 3) (pow.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))) 2)) (cbrt.f64 (log.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))) (sqrt.f64 (log.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 rand (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 rand rand) (*.f64 (+.f64 a -1/3) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (cbrt.f64 (exp.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 rand 3) (pow.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) 1) 1)))))) |
| 1× | egg-herbie |
| 856× | associate-/r*_binary64 |
| 693× | associate-*l/_binary64 |
| 566× | distribute-rgt-out_binary64 |
| 488× | associate-*r/_binary64 |
| 400× | associate-/r/_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 86 | 719 |
| 1 | 228 | 704 |
| 2 | 680 | 698 |
| 3 | 2636 | 639 |
| 4 | 7287 | 621 |
| 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 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 (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)))))) |
| Outputs |
|---|
(*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) |
(*.f64 (*.f64 1/3 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)))) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (/.f64 (*.f64 1/6 (*.f64 rand a)) (sqrt.f64 -1/3))) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 1/6 (*.f64 rand (/.f64 a (sqrt.f64 -1/3))))) |
(*.f64 rand (+.f64 (*.f64 1/3 (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 (*.f64 rand a) (sqrt.f64 -1/3)) (*.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 1/8 (/.f64 a (/.f64 (sqrt.f64 -1/3) (*.f64 rand a)))))) |
(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 1/6 (/.f64 a (sqrt.f64 -1/3)))))) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 (*.f64 rand (/.f64 a (sqrt.f64 -1/3))) (+.f64 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 (*.f64 rand a) (sqrt.f64 -1/3)) (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 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 1/8 (/.f64 a (/.f64 (sqrt.f64 -1/3) (*.f64 rand a))) (*.f64 (*.f64 1/48 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) rand)))) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/8 (*.f64 rand (*.f64 a (/.f64 a (sqrt.f64 -1/3)))) (*.f64 rand (+.f64 (*.f64 1/6 (/.f64 a (sqrt.f64 -1/3))) (*.f64 1/48 (/.f64 (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 1/6 (/.f64 (*.f64 a -1/24) -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 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 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 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 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 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 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 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 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 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 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 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 1/3 (*.f64 rand (sqrt.f64 (-.f64 a 1/3)))) |
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)) |
(*.f64 3 (sqrt.f64 -1/3)) |
(*.f64 (sqrt.f64 -1/3) 3) |
(+.f64 (*.f64 3/2 (/.f64 a (sqrt.f64 -1/3))) (*.f64 3 (sqrt.f64 -1/3))) |
(fma.f64 3/2 (/.f64 a (sqrt.f64 -1/3)) (*.f64 (sqrt.f64 -1/3) 3)) |
(fma.f64 (sqrt.f64 -1/3) 3 (*.f64 3/2 (/.f64 a (sqrt.f64 -1/3)))) |
(+.f64 (*.f64 -3/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 3/2 (/.f64 a (sqrt.f64 -1/3))) (*.f64 3 (sqrt.f64 -1/3)))) |
(fma.f64 -3/8 (/.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -1/3) 3)) (fma.f64 3/2 (/.f64 a (sqrt.f64 -1/3)) (*.f64 (sqrt.f64 -1/3) 3))) |
(+.f64 (fma.f64 (sqrt.f64 -1/3) 3 (*.f64 3/2 (/.f64 a (sqrt.f64 -1/3)))) (*.f64 9/8 (/.f64 (*.f64 a a) (sqrt.f64 -1/3)))) |
(fma.f64 3/2 (/.f64 a (sqrt.f64 -1/3)) (fma.f64 (sqrt.f64 -1/3) 3 (/.f64 (/.f64 (*.f64 a a) 8/9) (sqrt.f64 -1/3)))) |
(fma.f64 (sqrt.f64 -1/3) 3 (*.f64 (/.f64 a (sqrt.f64 -1/3)) (+.f64 3/2 (*.f64 -3/8 (/.f64 a -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 (sqrt.f64 -1/3) 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 (sqrt.f64 -1/3) 3 (*.f64 3/2 (/.f64 a (sqrt.f64 -1/3)))))) |
(fma.f64 3/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) (fma.f64 3/2 (/.f64 a (sqrt.f64 -1/3)) (fma.f64 (sqrt.f64 -1/3) 3 (/.f64 (/.f64 (*.f64 a a) 8/9) (sqrt.f64 -1/3))))) |
(fma.f64 3/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) (fma.f64 (sqrt.f64 -1/3) 3 (*.f64 (/.f64 a (sqrt.f64 -1/3)) (+.f64 3/2 (*.f64 -3/8 (/.f64 a -1/3)))))) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)) |
(*.f64 (*.f64 1/3 (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 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 (*.f64 1/3 (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 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 (*.f64 1/3 (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 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 (*.f64 1/3 (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 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 (*.f64 1/3 (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 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 (*.f64 1/3 (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 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 (*.f64 1/3 (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 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 (*.f64 1/3 (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 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 (*.f64 1/3 (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 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 (*.f64 1/3 (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 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 (*.f64 1/3 (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 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 (*.f64 1/3 (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 a -1/3))))) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (*.f64 1/3 rand)) |
(*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) |
(*.f64 (*.f64 1/3 rand) (sqrt.f64 -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 -3/2 (/.f64 (*.f64 rand a) (sqrt.f64 -3)))) |
(fma.f64 1/3 (*.f64 rand (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 (*.f64 rand a) (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 rand a) (sqrt.f64 -3)) (*.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 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 -3/2 (*.f64 rand (/.f64 a (sqrt.f64 -3))) (*.f64 -1/6 (*.f64 (*.f64 rand (*.f64 a a)) (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3)))))) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (*.f64 rand (+.f64 (*.f64 -3/2 (/.f64 a (sqrt.f64 -3))) (*.f64 (/.f64 -27/8 (sqrt.f64 -3)) (*.f64 a a))))) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (*.f64 (*.f64 rand 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 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 rand a) (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 rand a) (sqrt.f64 -3)) (*.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 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 -3/2 (*.f64 rand (/.f64 a (sqrt.f64 -3))) (*.f64 -1/6 (+.f64 (*.f64 (*.f64 rand (pow.f64 a 3)) (/.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 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 -3/2 (*.f64 rand (/.f64 a (sqrt.f64 -3))) (*.f64 -1/6 (*.f64 (*.f64 rand (*.f64 a a)) (+.f64 (/.f64 81/4 (sqrt.f64 -3)) (/.f64 (*.f64 a 405/8) (sqrt.f64 -3))))))) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 -3/2 (*.f64 rand (/.f64 a (sqrt.f64 -3))) (*.f64 (/.f64 -1/6 (sqrt.f64 -3)) (*.f64 (*.f64 rand (*.f64 a a)) (+.f64 81/4 (*.f64 a 405/8)))))) |
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) | |
| 0.5b | (*.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 |
|---|---|---|
| ✓ | 0.2b | (*.f64 1/9 (*.f64 rand rand)) |
| ✓ | 8.1b | (*.f64 (+.f64 a -1/3) (*.f64 1/9 (*.f64 rand rand))) |
| ✓ | 25.4b | (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 | |
|---|---|---|---|---|
| 70.0ms | a | @ | 0 | (*.f64 (+.f64 a -1/3) (*.f64 1/9 (*.f64 rand rand))) |
| 2.0ms | a | @ | -inf | (sqrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/9 (*.f64 rand rand)))) |
| 1.0ms | rand | @ | 0 | (*.f64 (+.f64 a -1/3) (*.f64 1/9 (*.f64 rand rand))) |
| 1.0ms | rand | @ | inf | (*.f64 (+.f64 a -1/3) (*.f64 1/9 (*.f64 rand rand))) |
| 1.0ms | a | @ | inf | (*.f64 (+.f64 a -1/3) (*.f64 1/9 (*.f64 rand rand))) |
| 1× | batch-egg-rewrite |
| 483× | log-prod_binary64 |
| 422× | prod-exp_binary64 |
| 361× | exp-prod_binary64 |
| 333× | pow-prod-down_binary64 |
| 257× | pow2_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 35 |
| 1 | 216 | 32 |
| 2 | 2613 | 32 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/9 (*.f64 rand rand)))) |
(*.f64 (+.f64 a -1/3) (*.f64 1/9 (*.f64 rand rand))) |
(*.f64 1/9 (*.f64 rand rand)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 rand)) (sqrt.f64 (+.f64 a -1/3)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 rand)) (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 rand)) (sqrt.f64 (+.f64 a -1/3))))) (log.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 rand)) (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)) 1/9)) (cbrt.f64 (*.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 | |
|---|---|---|---|---|
| 22.0ms | a | @ | 0 | (/.f64 rand (sqrt.f64 (*.f64 9 a))) |
| 2.0ms | a | @ | 0 | (*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a))))) |
| 1.0ms | rand | @ | 0 | (/.f64 rand (sqrt.f64 (*.f64 9 a))) |
| 1.0ms | a | @ | -inf | (/.f64 rand (sqrt.f64 (*.f64 9 a))) |
| 1.0ms | a | @ | inf | (/.f64 rand (sqrt.f64 (*.f64 9 a))) |
| 1× | batch-egg-rewrite |
| 600× | log-prod_binary64 |
| 537× | prod-diff_binary64 |
| 350× | fma-def_binary64 |
| 226× | pow1/3_binary64 |
| 223× | expm1-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 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 #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 rand rand)) (*.f64 (cbrt.f64 rand) (/.f64 1/3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (cbrt.f64 (/.f64 (*.f64 rand rand) (*.f64 9 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 rand rand) (*.f64 9 a))) (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 rand) (*.f64 (sqrt.f64 rand) (/.f64 1/3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 rand) (/.f64 1 (*.f64 -3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (sqrt.f64 a)) rand)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 rand rand)) 1) (/.f64 (cbrt.f64 rand) (*.f64 3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 rand) 1) (/.f64 (sqrt.f64 rand) (*.f64 3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 9 a))) (/.f64 rand (cbrt.f64 (*.f64 3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 rand rand)) (cbrt.f64 (*.f64 9 a))) (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 rand) (cbrt.f64 (*.f64 9 a))) (/.f64 (sqrt.f64 rand) (cbrt.f64 (*.f64 3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (*.f64 9 a) 1/4)) (/.f64 rand (pow.f64 (*.f64 9 a) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 rand rand)) (pow.f64 (*.f64 9 a) 1/4)) (/.f64 (cbrt.f64 rand) (pow.f64 (*.f64 9 a) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 rand rand)) 3) (/.f64 (cbrt.f64 rand) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 rand) 3) (/.f64 (sqrt.f64 rand) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (/.f64 (sqrt.f64 a) rand)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 3 (/.f64 (sqrt.f64 a) rand)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 rand (*.f64 -3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 rand rand) (*.f64 9 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 rand) (/.f64 1/3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 rand (/.f64 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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 (-.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)) |
| ✓ | 7.7b | (*.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 | |
|---|---|---|---|---|
| 4.0ms | a | @ | inf | (/.f64 1 (-.f64 (*.f64 9 a) 3)) |
| 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 | @ | 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)) |
Compiled 14847 to 11120 computations (25.1% saved)
13 alts after pruning (6 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 807 | 5 | 812 |
| Fresh | 1 | 1 | 2 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 7 | 8 |
| Total | 810 | 13 | 823 |
| Status | Error | Program |
|---|---|---|
| 18.0b | a | |
| ✓ | 0.4b | (-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3) |
| ▶ | 46.7b | (*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 1/9)) rand) |
| ▶ | 60.5b | (sqrt.f64 (*.f64 (*.f64 rand a) (*.f64 rand 1/9))) |
| ✓ | 17.0b | (-.f64 a 1/3) |
| ✓ | 60.6b | (sqrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/9 (*.f64 rand rand)))) |
| ✓ | 47.0b | (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
| ✓ | 0.6b | (*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a))))) |
| ▶ | 53.2b | (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1/9 a))) |
| ▶ | 0.6b | (*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))))) |
| ✓ | 0.1b | (-.f64 a (-.f64 1/3 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))) |
| ▶ | 53.2b | (*.f64 (*.f64 rand a) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
| ✓ | 46.7b | (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)) |
Compiled 206 to 159 computations (22.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 1 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))) |
| ✓ | 0.1b | (*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))))) |
| ✓ | 0.3b | (/.f64 rand (sqrt.f64 a)) |
| ✓ | 0.3b | (*.f64 1/3 (/.f64 rand (sqrt.f64 a))) |
Compiled 41 to 21 computations (48.8% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 29.0ms | a | @ | 0 | (*.f64 1/3 (/.f64 rand (sqrt.f64 a))) |
| 1.0ms | a | @ | -inf | (*.f64 1/3 (/.f64 rand (sqrt.f64 a))) |
| 1.0ms | a | @ | -inf | (*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))))) |
| 1.0ms | a | @ | -inf | (/.f64 rand (sqrt.f64 a)) |
| 0.0ms | rand | @ | -inf | (/.f64 rand (sqrt.f64 a)) |
| 1× | batch-egg-rewrite |
| 579× | log-prod_binary64 |
| 545× | prod-diff_binary64 |
| 385× | fma-def_binary64 |
| 309× | pow2_binary64 |
| 217× | pow1/3_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 45 |
| 1 | 247 | 41 |
| 2 | 3444 | 41 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/3 (/.f64 rand (sqrt.f64 a))) |
(/.f64 rand (sqrt.f64 a)) |
(*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))))) |
(+.f64 1 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (/.f64 rand (sqrt.f64 a))))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (/.f64 rand (sqrt.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (/.f64 rand (sqrt.f64 a)))))) (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (/.f64 rand (sqrt.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/3 (/.f64 (sqrt.f64 a) rand))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 a) (*.f64 1/3 rand)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 rand) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 1/3 rand)) (neg.f64 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/3 rand) 1) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/3 rand) (cbrt.f64 a)) (cbrt.f64 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/3 rand) (pow.f64 a 1/4)) (pow.f64 a 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 rand) 1/3) (neg.f64 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 (neg.f64 rand)) (neg.f64 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/27 (pow.f64 (/.f64 rand (sqrt.f64 a)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 a) (*.f64 1/3 rand)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (*.f64 1/3 rand) 2) a))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (cbrt.f64 (exp.f64 (/.f64 rand (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1/27 (pow.f64 (/.f64 rand (sqrt.f64 a)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1)) (pow.f64 (cbrt.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1)) 2) (cbrt.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1)) (sqrt.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 1/27 (pow.f64 (/.f64 rand (sqrt.f64 a)) 3) 1) (/.f64 1 (fma.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) -1) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (/.f64 (pow.f64 (*.f64 1/3 rand) 2) a)) (/.f64 1 (-.f64 1 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))) -1))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 rand (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 rand (sqrt.f64 a)))) 2)) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 rand (sqrt.f64 a))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 rand (sqrt.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 rand (sqrt.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 rand (pow.f64 a -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 rand (sqrt.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 rand (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 rand (sqrt.f64 a))) (cbrt.f64 (/.f64 (*.f64 rand rand) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 rand rand) a)) (cbrt.f64 (/.f64 rand (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 rand) 2) (*.f64 (cbrt.f64 rand) (pow.f64 a -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 a))) (sqrt.f64 (/.f64 rand (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 rand) (*.f64 (sqrt.f64 rand) (pow.f64 a -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 rand) (/.f64 1 (neg.f64 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a -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 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 rand) 1) (/.f64 (sqrt.f64 rand) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 a)) (/.f64 rand (cbrt.f64 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 rand) 2) (cbrt.f64 a)) (cbrt.f64 (/.f64 rand (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 rand) (cbrt.f64 a)) (/.f64 (sqrt.f64 rand) (cbrt.f64 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 a 1/4)) (/.f64 rand (pow.f64 a 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 rand) 2) (pow.f64 a 1/4)) (/.f64 (cbrt.f64 rand) (pow.f64 a 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 rand (sqrt.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 rand (sqrt.f64 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 rand (sqrt.f64 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 a) rand) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 rand 3) (pow.f64 a 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (sqrt.f64 a) rand) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 rand (neg.f64 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 rand rand) a))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 rand (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 rand (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 rand (sqrt.f64 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 rand 3) (pow.f64 a 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 rand (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 rand (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 rand (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 rand (sqrt.f64 a))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 a (+.f64 -1/3 (*.f64 (/.f64 rand (sqrt.f64 a)) (*.f64 1/3 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 a -1/3) (*.f64 (/.f64 rand (sqrt.f64 a)) (*.f64 1/3 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 a -1/3) (*.f64 (*.f64 (/.f64 rand (sqrt.f64 a)) (*.f64 1/3 (+.f64 a -1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 rand (sqrt.f64 a)) (*.f64 1/3 (+.f64 a -1/3))) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1)) (*.f64 -1/3 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) a) (*.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 a (-.f64 1/3 (*.f64 (/.f64 rand (sqrt.f64 a)) (*.f64 1/3 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 1/27 (pow.f64 (/.f64 rand (sqrt.f64 a)) 3) 1)) (*.f64 (fma.f64 a a (fma.f64 1/3 a 1/9)) (fma.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) -1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 a a -1/9) (fma.f64 1/27 (pow.f64 (/.f64 rand (sqrt.f64 a)) 3) 1)) (*.f64 (+.f64 1/3 a) (fma.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) -1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) (-.f64 1 (/.f64 (pow.f64 (*.f64 1/3 rand) 2) a))) (*.f64 (fma.f64 a a (fma.f64 1/3 a 1/9)) (-.f64 1 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 a a -1/9) (-.f64 1 (/.f64 (pow.f64 (*.f64 1/3 rand) 2) a))) (*.f64 (+.f64 1/3 a) (-.f64 1 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 1/27 (pow.f64 (/.f64 rand (sqrt.f64 a)) 3) 1) (+.f64 (pow.f64 a 3) -1/27)) (*.f64 (fma.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) -1) 1) (fma.f64 a a (fma.f64 1/3 a 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 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(/.f64 rand (sqrt.f64 a)) 3) 1) (fma.f64 1/9 (/.f64 (*.f64 rand rand) a) (-.f64 1 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (/.f64 (pow.f64 (*.f64 1/3 rand) 2) a)) (-.f64 1 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 1/27 (pow.f64 (/.f64 rand (sqrt.f64 a)) 3) 1)) (neg.f64 (fma.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) -1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (/.f64 (pow.f64 (*.f64 1/3 rand) 2) a))) (neg.f64 (-.f64 1 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/9 (/.f64 (*.f64 rand rand) a) -1) (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) -1) 1) (fma.f64 1/27 (pow.f64 (/.f64 rand (sqrt.f64 a)) 3) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a))) (-.f64 1 (/.f64 (pow.f64 (*.f64 1/3 rand) 2) a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a))) 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 rand (*.f64 (pow.f64 a -1/2) 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 rand (sqrt.f64 a)) 1/3 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 (*.f64 rand rand) a)) (*.f64 (cbrt.f64 (/.f64 rand (sqrt.f64 a))) 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 1/3 rand) 2) a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 1/3 rand) 2) a)) (cbrt.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 a))) (*.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 a))) 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a))) (sqrt.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 rand) (pow.f64 a -1/2) 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 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 1/3 (cbrt.f64 (/.f64 (*.f64 rand rand) a))) (cbrt.f64 (/.f64 rand (sqrt.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 (sqrt.f64 (/.f64 rand (sqrt.f64 a)))) (sqrt.f64 (/.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 | 672 |
| 1 | 37 | 636 |
| 2 | 81 | 636 |
| 3 | 220 | 605 |
| 4 | 562 | 605 |
| 5 | 878 | 605 |
| 6 | 1462 | 605 |
| 7 | 2789 | 605 |
| 8 | 4738 | 605 |
| 9 | 5190 | 605 |
| 10 | 5298 | 605 |
| 11 | 5308 | 605 |
| 12 | 5308 | 605 |
| 13 | 5312 | 605 |
| 14 | 6949 | 605 |
| 15 | 6949 | 605 |
| 16 | 6949 | 605 |
| 17 | 6949 | 605 |
| 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)) |
(*.f64 (sqrt.f64 (/.f64 1 a)) rand) |
(*.f64 (sqrt.f64 (/.f64 1 a)) rand) |
(*.f64 (sqrt.f64 (/.f64 1 a)) rand) |
(*.f64 (sqrt.f64 (/.f64 1 a)) rand) |
(*.f64 (sqrt.f64 (/.f64 1 a)) rand) |
(*.f64 (sqrt.f64 (/.f64 1 a)) rand) |
(*.f64 (sqrt.f64 (/.f64 1 a)) rand) |
(*.f64 (sqrt.f64 (/.f64 1 a)) rand) |
(*.f64 (sqrt.f64 (/.f64 1 a)) rand) |
(*.f64 (sqrt.f64 (/.f64 1 a)) rand) |
(*.f64 (sqrt.f64 (/.f64 1 a)) rand) |
(*.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)) |
(*.f64 (sqrt.f64 (/.f64 1 a)) rand) |
(*.f64 (sqrt.f64 (/.f64 1 a)) rand) |
(*.f64 (sqrt.f64 (/.f64 1 a)) rand) |
(*.f64 (sqrt.f64 (/.f64 1 a)) rand) |
(*.f64 (sqrt.f64 (/.f64 1 a)) rand) |
(*.f64 (sqrt.f64 (/.f64 1 a)) rand) |
(*.f64 (sqrt.f64 (/.f64 1 a)) rand) |
(*.f64 (sqrt.f64 (/.f64 1 a)) rand) |
(*.f64 (sqrt.f64 (/.f64 1 a)) rand) |
(*.f64 (sqrt.f64 (/.f64 1 a)) rand) |
(*.f64 (sqrt.f64 (/.f64 1 a)) rand) |
(*.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 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 (*.f64 rand a) (*.f64 rand 1/9)) |
| ✓ | 0.4b | (*.f64 rand 1/9) |
| ✓ | 25.4b | (sqrt.f64 (*.f64 (*.f64 rand a) (*.f64 rand 1/9))) |
Compiled 26 to 13 computations (50% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | rand | @ | 0 | (*.f64 (*.f64 rand a) (*.f64 rand 1/9)) |
| 1.0ms | rand | @ | 0 | (sqrt.f64 (*.f64 (*.f64 rand a) (*.f64 rand 1/9))) |
| 1.0ms | a | @ | 0 | (*.f64 (*.f64 rand a) (*.f64 rand 1/9)) |
| 1.0ms | rand | @ | inf | (sqrt.f64 (*.f64 (*.f64 rand a) (*.f64 rand 1/9))) |
| 1.0ms | a | @ | -inf | (sqrt.f64 (*.f64 (*.f64 rand a) (*.f64 rand 1/9))) |
| 1× | batch-egg-rewrite |
| 760× | pow1_binary64 |
| 704× | add-log-exp_binary64 |
| 704× | log1p-expm1-u_binary64 |
| 704× | expm1-log1p-u_binary64 |
| 687× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 26 |
| 1 | 165 | 26 |
| 2 | 1954 | 26 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (*.f64 (*.f64 rand a) (*.f64 rand 1/9))) |
(*.f64 rand 1/9) |
(*.f64 (*.f64 rand a) (*.f64 rand 1/9)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (*.f64 a (*.f64 rand (*.f64 rand 1/9))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 a (*.f64 rand (*.f64 rand 1/9)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 a (*.f64 rand (*.f64 rand 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 a (*.f64 rand (*.f64 rand 1/9))))) (cbrt.f64 (*.f64 a (*.f64 rand (*.f64 rand 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 a (*.f64 rand (*.f64 rand 1/9)))) (cbrt.f64 (sqrt.f64 (*.f64 a (*.f64 rand (*.f64 rand 1/9))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 a (*.f64 rand (*.f64 rand 1/9))) 1/4) (pow.f64 (*.f64 a (*.f64 rand (*.f64 rand 1/9))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 rand) (sqrt.f64 (*.f64 a (*.f64 rand 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 rand) (pow.f64 (*.f64 a (*.f64 rand 1/9)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 rand 1/9)) (sqrt.f64 (*.f64 rand a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 rand a)) (sqrt.f64 (*.f64 rand 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 rand (*.f64 rand a))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 a (*.f64 rand (*.f64 rand 1/9)))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 a (*.f64 rand (*.f64 rand 1/9))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 a (*.f64 rand (*.f64 rand 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 a (*.f64 rand (*.f64 rand 1/9)))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 a (*.f64 rand (*.f64 rand 1/9)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 rand (*.f64 rand a)) 1/2) (pow.f64 1/9 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (*.f64 rand (*.f64 rand 1/9))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 a (*.f64 rand (*.f64 rand 1/9)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (*.f64 rand (*.f64 rand 1/9))) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 a (*.f64 rand (*.f64 rand 1/9))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (*.f64 rand (*.f64 rand 1/9))) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 a (*.f64 rand (*.f64 rand 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 a (*.f64 rand (*.f64 rand 1/9))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a (*.f64 rand (*.f64 rand 1/9))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 a (*.f64 rand (*.f64 rand 1/9))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 a (*.f64 rand (*.f64 rand 1/9))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 a (*.f64 rand (*.f64 rand 1/9)))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 rand 1/9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 rand 1/9) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 rand 1/9) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 rand 1/9)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 rand 1/9)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 rand 1/9) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/9) rand))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 rand 1/9) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 rand 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 rand 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 rand 1/9))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 a (*.f64 rand (*.f64 rand 1/9)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (*.f64 rand (*.f64 rand 1/9))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 a (*.f64 rand (*.f64 rand 1/9)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (*.f64 rand (*.f64 rand 1/9))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (*.f64 rand (*.f64 rand 1/9))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a (*.f64 rand (*.f64 rand 1/9)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a (*.f64 rand (*.f64 rand 1/9))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 1/9) rand) (*.f64 rand a)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a (*.f64 rand (*.f64 rand 1/9))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 rand a) 3) (pow.f64 (*.f64 rand 1/9) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 rand 1/9) 3) (pow.f64 (*.f64 rand a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a (*.f64 rand (*.f64 rand 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a (*.f64 rand (*.f64 rand 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a (*.f64 rand (*.f64 rand 1/9))))))))) |
| 1× | egg-herbie |
| 2020× | unswap-sqr_binary64 |
| 1080× | sqr-pow_binary64 |
| 641× | fabs-mul_binary64 |
| 612× | pow-sqr_binary64 |
| 610× | cube-prod_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 396 |
| 1 | 32 | 396 |
| 2 | 66 | 396 |
| 3 | 135 | 396 |
| 4 | 354 | 396 |
| 5 | 1143 | 396 |
| 6 | 1419 | 396 |
| 7 | 1833 | 396 |
| 8 | 1933 | 396 |
| 9 | 2068 | 396 |
| 10 | 2237 | 396 |
| 11 | 2480 | 396 |
| 12 | 2795 | 396 |
| 13 | 3167 | 396 |
| 14 | 3625 | 396 |
| 15 | 4214 | 396 |
| 16 | 4924 | 396 |
| 17 | 5786 | 396 |
| 18 | 6208 | 396 |
| 19 | 6524 | 396 |
| 20 | 6832 | 396 |
| 21 | 6912 | 396 |
| 22 | 6948 | 396 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
(*.f64 -1/3 (*.f64 (sqrt.f64 a) rand)) |
(*.f64 -1/3 (*.f64 (sqrt.f64 a) rand)) |
(*.f64 -1/3 (*.f64 (sqrt.f64 a) rand)) |
(*.f64 -1/3 (*.f64 (sqrt.f64 a) rand)) |
(*.f64 1/9 rand) |
(*.f64 1/9 rand) |
(*.f64 1/9 rand) |
(*.f64 1/9 rand) |
(*.f64 1/9 rand) |
(*.f64 1/9 rand) |
(*.f64 1/9 rand) |
(*.f64 1/9 rand) |
(*.f64 1/9 rand) |
(*.f64 1/9 rand) |
(*.f64 1/9 rand) |
(*.f64 1/9 rand) |
(*.f64 1/9 (*.f64 a (pow.f64 rand 2))) |
(*.f64 1/9 (*.f64 a (pow.f64 rand 2))) |
(*.f64 1/9 (*.f64 a (pow.f64 rand 2))) |
(*.f64 1/9 (*.f64 a (pow.f64 rand 2))) |
(*.f64 1/9 (*.f64 a (pow.f64 rand 2))) |
(*.f64 1/9 (*.f64 a (pow.f64 rand 2))) |
(*.f64 1/9 (*.f64 a (pow.f64 rand 2))) |
(*.f64 1/9 (*.f64 a (pow.f64 rand 2))) |
(*.f64 1/9 (*.f64 a (pow.f64 rand 2))) |
(*.f64 1/9 (*.f64 a (pow.f64 rand 2))) |
(*.f64 1/9 (*.f64 a (pow.f64 rand 2))) |
(*.f64 1/9 (*.f64 a (pow.f64 rand 2))) |
(*.f64 1/9 (*.f64 a (pow.f64 rand 2))) |
(*.f64 1/9 (*.f64 a (pow.f64 rand 2))) |
(*.f64 1/9 (*.f64 a (pow.f64 rand 2))) |
(*.f64 1/9 (*.f64 a (pow.f64 rand 2))) |
(*.f64 1/9 (*.f64 a (pow.f64 rand 2))) |
(*.f64 1/9 (*.f64 a (pow.f64 rand 2))) |
(*.f64 1/9 (*.f64 a (pow.f64 rand 2))) |
(*.f64 1/9 (*.f64 a (pow.f64 rand 2))) |
(*.f64 1/9 (*.f64 a (pow.f64 rand 2))) |
(*.f64 1/9 (*.f64 a (pow.f64 rand 2))) |
(*.f64 1/9 (*.f64 a (pow.f64 rand 2))) |
(*.f64 1/9 (*.f64 a (pow.f64 rand 2))) |
| Outputs |
|---|
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
(*.f64 (sqrt.f64 a) (*.f64 1/3 rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
(*.f64 (sqrt.f64 a) (*.f64 1/3 rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
(*.f64 (sqrt.f64 a) (*.f64 1/3 rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
(*.f64 (sqrt.f64 a) (*.f64 1/3 rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
(*.f64 (sqrt.f64 a) (*.f64 1/3 rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
(*.f64 (sqrt.f64 a) (*.f64 1/3 rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
(*.f64 (sqrt.f64 a) (*.f64 1/3 rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
(*.f64 (sqrt.f64 a) (*.f64 1/3 rand)) |
(*.f64 -1/3 (*.f64 (sqrt.f64 a) rand)) |
(*.f64 (*.f64 -1/3 (sqrt.f64 a)) rand) |
(*.f64 (sqrt.f64 a) (*.f64 rand -1/3)) |
(*.f64 rand (*.f64 (sqrt.f64 a) -1/3)) |
(*.f64 -1/3 (*.f64 (sqrt.f64 a) rand)) |
(*.f64 (*.f64 -1/3 (sqrt.f64 a)) rand) |
(*.f64 (sqrt.f64 a) (*.f64 rand -1/3)) |
(*.f64 rand (*.f64 (sqrt.f64 a) -1/3)) |
(*.f64 -1/3 (*.f64 (sqrt.f64 a) rand)) |
(*.f64 (*.f64 -1/3 (sqrt.f64 a)) rand) |
(*.f64 (sqrt.f64 a) (*.f64 rand -1/3)) |
(*.f64 rand (*.f64 (sqrt.f64 a) -1/3)) |
(*.f64 -1/3 (*.f64 (sqrt.f64 a) rand)) |
(*.f64 (*.f64 -1/3 (sqrt.f64 a)) rand) |
(*.f64 (sqrt.f64 a) (*.f64 rand -1/3)) |
(*.f64 rand (*.f64 (sqrt.f64 a) -1/3)) |
(*.f64 1/9 rand) |
(*.f64 rand 1/9) |
(*.f64 1/9 rand) |
(*.f64 rand 1/9) |
(*.f64 1/9 rand) |
(*.f64 rand 1/9) |
(*.f64 1/9 rand) |
(*.f64 rand 1/9) |
(*.f64 1/9 rand) |
(*.f64 rand 1/9) |
(*.f64 1/9 rand) |
(*.f64 rand 1/9) |
(*.f64 1/9 rand) |
(*.f64 rand 1/9) |
(*.f64 1/9 rand) |
(*.f64 rand 1/9) |
(*.f64 1/9 rand) |
(*.f64 rand 1/9) |
(*.f64 1/9 rand) |
(*.f64 rand 1/9) |
(*.f64 1/9 rand) |
(*.f64 rand 1/9) |
(*.f64 1/9 rand) |
(*.f64 rand 1/9) |
(*.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 1/9) (*.f64 a rand)) |
(*.f64 a (*.f64 rand (*.f64 rand 1/9))) |
(*.f64 (*.f64 rand rand) (*.f64 a 1/9)) |
(*.f64 a (*.f64 1/9 (*.f64 rand rand))) |
(*.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 1/9) (*.f64 a rand)) |
(*.f64 a (*.f64 rand (*.f64 rand 1/9))) |
(*.f64 (*.f64 rand rand) (*.f64 a 1/9)) |
(*.f64 a (*.f64 1/9 (*.f64 rand rand))) |
(*.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 1/9) (*.f64 a rand)) |
(*.f64 a (*.f64 rand (*.f64 rand 1/9))) |
(*.f64 (*.f64 rand rand) (*.f64 a 1/9)) |
(*.f64 a (*.f64 1/9 (*.f64 rand rand))) |
(*.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 1/9) (*.f64 a rand)) |
(*.f64 a (*.f64 rand (*.f64 rand 1/9))) |
(*.f64 (*.f64 rand rand) (*.f64 a 1/9)) |
(*.f64 a (*.f64 1/9 (*.f64 rand rand))) |
(*.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 1/9) (*.f64 a rand)) |
(*.f64 a (*.f64 rand (*.f64 rand 1/9))) |
(*.f64 (*.f64 rand rand) (*.f64 a 1/9)) |
(*.f64 a (*.f64 1/9 (*.f64 rand rand))) |
(*.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 1/9) (*.f64 a rand)) |
(*.f64 a (*.f64 rand (*.f64 rand 1/9))) |
(*.f64 (*.f64 rand rand) (*.f64 a 1/9)) |
(*.f64 a (*.f64 1/9 (*.f64 rand rand))) |
(*.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 1/9) (*.f64 a rand)) |
(*.f64 a (*.f64 rand (*.f64 rand 1/9))) |
(*.f64 (*.f64 rand rand) (*.f64 a 1/9)) |
(*.f64 a (*.f64 1/9 (*.f64 rand rand))) |
(*.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 1/9) (*.f64 a rand)) |
(*.f64 a (*.f64 rand (*.f64 rand 1/9))) |
(*.f64 (*.f64 rand rand) (*.f64 a 1/9)) |
(*.f64 a (*.f64 1/9 (*.f64 rand rand))) |
(*.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 1/9) (*.f64 a rand)) |
(*.f64 a (*.f64 rand (*.f64 rand 1/9))) |
(*.f64 (*.f64 rand rand) (*.f64 a 1/9)) |
(*.f64 a (*.f64 1/9 (*.f64 rand rand))) |
(*.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 1/9) (*.f64 a rand)) |
(*.f64 a (*.f64 rand (*.f64 rand 1/9))) |
(*.f64 (*.f64 rand rand) (*.f64 a 1/9)) |
(*.f64 a (*.f64 1/9 (*.f64 rand rand))) |
(*.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 1/9) (*.f64 a rand)) |
(*.f64 a (*.f64 rand (*.f64 rand 1/9))) |
(*.f64 (*.f64 rand rand) (*.f64 a 1/9)) |
(*.f64 a (*.f64 1/9 (*.f64 rand rand))) |
(*.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 1/9) (*.f64 a rand)) |
(*.f64 a (*.f64 rand (*.f64 rand 1/9))) |
(*.f64 (*.f64 rand rand) (*.f64 a 1/9)) |
(*.f64 a (*.f64 1/9 (*.f64 rand rand))) |
(*.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 1/9) (*.f64 a rand)) |
(*.f64 a (*.f64 rand (*.f64 rand 1/9))) |
(*.f64 (*.f64 rand rand) (*.f64 a 1/9)) |
(*.f64 a (*.f64 1/9 (*.f64 rand rand))) |
(*.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 1/9) (*.f64 a rand)) |
(*.f64 a (*.f64 rand (*.f64 rand 1/9))) |
(*.f64 (*.f64 rand rand) (*.f64 a 1/9)) |
(*.f64 a (*.f64 1/9 (*.f64 rand rand))) |
(*.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 1/9) (*.f64 a rand)) |
(*.f64 a (*.f64 rand (*.f64 rand 1/9))) |
(*.f64 (*.f64 rand rand) (*.f64 a 1/9)) |
(*.f64 a (*.f64 1/9 (*.f64 rand rand))) |
(*.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 1/9) (*.f64 a rand)) |
(*.f64 a (*.f64 rand (*.f64 rand 1/9))) |
(*.f64 (*.f64 rand rand) (*.f64 a 1/9)) |
(*.f64 a (*.f64 1/9 (*.f64 rand rand))) |
(*.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 1/9) (*.f64 a rand)) |
(*.f64 a (*.f64 rand (*.f64 rand 1/9))) |
(*.f64 (*.f64 rand rand) (*.f64 a 1/9)) |
(*.f64 a (*.f64 1/9 (*.f64 rand rand))) |
(*.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 1/9) (*.f64 a rand)) |
(*.f64 a (*.f64 rand (*.f64 rand 1/9))) |
(*.f64 (*.f64 rand rand) (*.f64 a 1/9)) |
(*.f64 a (*.f64 1/9 (*.f64 rand rand))) |
(*.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 1/9) (*.f64 a rand)) |
(*.f64 a (*.f64 rand (*.f64 rand 1/9))) |
(*.f64 (*.f64 rand rand) (*.f64 a 1/9)) |
(*.f64 a (*.f64 1/9 (*.f64 rand rand))) |
(*.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 1/9) (*.f64 a rand)) |
(*.f64 a (*.f64 rand (*.f64 rand 1/9))) |
(*.f64 (*.f64 rand rand) (*.f64 a 1/9)) |
(*.f64 a (*.f64 1/9 (*.f64 rand rand))) |
(*.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 1/9) (*.f64 a rand)) |
(*.f64 a (*.f64 rand (*.f64 rand 1/9))) |
(*.f64 (*.f64 rand rand) (*.f64 a 1/9)) |
(*.f64 a (*.f64 1/9 (*.f64 rand rand))) |
(*.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 1/9) (*.f64 a rand)) |
(*.f64 a (*.f64 rand (*.f64 rand 1/9))) |
(*.f64 (*.f64 rand rand) (*.f64 a 1/9)) |
(*.f64 a (*.f64 1/9 (*.f64 rand rand))) |
(*.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 1/9) (*.f64 a rand)) |
(*.f64 a (*.f64 rand (*.f64 rand 1/9))) |
(*.f64 (*.f64 rand rand) (*.f64 a 1/9)) |
(*.f64 a (*.f64 1/9 (*.f64 rand rand))) |
(*.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 1/9) (*.f64 a rand)) |
(*.f64 a (*.f64 rand (*.f64 rand 1/9))) |
(*.f64 (*.f64 rand rand) (*.f64 a 1/9)) |
(*.f64 a (*.f64 1/9 (*.f64 rand rand))) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (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 | (*.f64 (+.f64 a -1/3) 1/9) |
| 1.0ms | a | @ | 0 | (sqrt.f64 (*.f64 (+.f64 a -1/3) 1/9)) |
| 1.0ms | 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 1/9 a)) |
| ✓ | 0.3b | (/.f64 1/9 a) |
| ✓ | 7.7b | (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1/9 a))) |
Compiled 31 to 21 computations (32.3% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | a | @ | -inf | (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1/9 a))) |
| 1.0ms | a | @ | 0 | (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1/9 a))) |
| 1.0ms | rand | @ | 0 | (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1/9 a))) |
| 1.0ms | a | @ | inf | (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1/9 a))) |
| 1.0ms | rand | @ | inf | (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1/9 a))) |
| 1× | batch-egg-rewrite |
| 496× | log-prod_binary64 |
| 440× | prod-exp_binary64 |
| 363× | exp-prod_binary64 |
| 354× | pow-prod-down_binary64 |
| 271× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 25 |
| 1 | 221 | 25 |
| 2 | 2760 | 25 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1/9 a))) |
(/.f64 1/9 a) |
(sqrt.f64 (/.f64 1/9 a)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 rand) (+.f64 a -1/3)) (/.f64 1/3 (sqrt.f64 a)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 rand) (+.f64 a -1/3)) (/.f64 1/3 (sqrt.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 rand) (+.f64 a -1/3)) (/.f64 1/3 (sqrt.f64 a))))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 rand) (+.f64 a -1/3)) (/.f64 1/3 (sqrt.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 (*.f64 rand 1/3) (sqrt.f64 a))) (fma.f64 a a (fma.f64 a 1/3 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 a a -1/9) (/.f64 (*.f64 rand 1/3) (sqrt.f64 a))) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) 1/3) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1/9 a) (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) (/.f64 (*.f64 rand 1/3) (sqrt.f64 a))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 a)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 a))))) 2)) (cbrt.f64 (log.f64 (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 a)))))) (sqrt.f64 (log.f64 (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (/.f64 1/9 a) (pow.f64 (*.f64 (+.f64 a -1/3) rand) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 rand) (+.f64 a -1/3)) (/.f64 1/3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 a))) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 a))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 a))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 a)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 a -1/3)) 1) (log.f64 (/.f64 (*.f64 rand 1/3) (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 (+.f64 a -1/3) rand)) 1) (log.f64 (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (*.f64 (+.f64 a -1/3) rand)) (*.f64 (log.f64 (/.f64 1/9 a)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 (+.f64 a -1/3) rand)) 1) (*.f64 (log.f64 (/.f64 1/9 a)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (*.f64 (+.f64 a -1/3) rand)) (*.f64 (log.f64 (/.f64 1/3 (sqrt.f64 a))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 (+.f64 a -1/3) rand)) 1) (*.f64 (log.f64 (/.f64 1/3 (sqrt.f64 a))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 1/9 a)) 1/2) (log.f64 (*.f64 (+.f64 a -1/3) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 1/3 (sqrt.f64 a))) 1) (log.f64 (*.f64 (+.f64 a -1/3) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (/.f64 1/3 (sqrt.f64 a))) (*.f64 (log.f64 (*.f64 (+.f64 a -1/3) rand)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 1/9 a)) 1/2) (*.f64 (log.f64 (*.f64 (+.f64 a -1/3) rand)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 1/3 (sqrt.f64 a))) 1) (*.f64 (log.f64 (*.f64 (+.f64 a -1/3) rand)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (/.f64 (*.f64 rand 1/3) (sqrt.f64 a))) (*.f64 (log.f64 (+.f64 a -1/3)) 1))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1/9 a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1/9 a))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1/9 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/9 a)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/9 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1/9 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/9 (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/9 a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (sqrt.f64 a)) (/.f64 1/3 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/9 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/9 a)) (pow.f64 (cbrt.f64 (/.f64 1/9 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1/9 a)) 2) (cbrt.f64 (/.f64 1/9 a)))))) (#(struct:change #<rule egg-rr> 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/9 a) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a 9) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 1/9 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 a 9) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 1/9 a))) 2)) (cbrt.f64 (log.f64 (/.f64 1/9 a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 1/9 a)))) (sqrt.f64 (log.f64 (/.f64 1/9 a))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/81 (pow.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/9 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1/9 a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a 9) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/9 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/9 a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/9 a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 1/9 a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 1/3 (sqrt.f64 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 1/9 a))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 a 9) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 1/9 a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a 9)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 1/9 a)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 1/9 a)) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 1/3 (sqrt.f64 a))) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 1/9 a)) 1/2) (log.f64 (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 1/3 (sqrt.f64 a))) 1) (log.f64 (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (/.f64 1/3 (sqrt.f64 a))) (*.f64 (log.f64 (/.f64 1/9 a)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 1/9 a)) 1/2) (*.f64 (log.f64 (/.f64 1/9 a)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 1/3 (sqrt.f64 a))) 1) (*.f64 (log.f64 (/.f64 1/9 a)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (/.f64 1/3 (sqrt.f64 a))) (*.f64 (log.f64 (/.f64 1/3 (sqrt.f64 a))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 1/9 a)) 1/2) (*.f64 (log.f64 (/.f64 1/3 (sqrt.f64 a))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 1/3 (sqrt.f64 a))) 1) (*.f64 (log.f64 (/.f64 1/3 (sqrt.f64 a))) 1))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1/3 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1/3 (sqrt.f64 a)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1/3 (sqrt.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/3 (sqrt.f64 a))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/3 (sqrt.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1/3 (sqrt.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (pow.f64 a -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (sqrt.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/3 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/9 a)) (pow.f64 (/.f64 1/9 a) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1/9 a) 1/6) (cbrt.f64 (/.f64 1/9 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1/9 a) 1/4) (pow.f64 (/.f64 1/9 a) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/3 (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (*.f64 a 9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 a) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/3 (neg.f64 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 -1/9) (sqrt.f64 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/9 a) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/3 (sqrt.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/81 (pow.f64 a -2)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a 9) -3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/27 (pow.f64 a 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/9 a)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/9 a) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/9 a) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a 9) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 1/3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/2) (log.f64 (/.f64 1/9 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 a 9)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 a) 1/3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 1/3 (sqrt.f64 a)))) 2)) (cbrt.f64 (log.f64 (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 1/3 (sqrt.f64 a))))) (sqrt.f64 (log.f64 (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 1/3 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 1/27 (pow.f64 a 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 1/9 a)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 1/3 (sqrt.f64 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 1/27 (pow.f64 a 3/2))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 1/9 a) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (log.f64 (/.f64 1/9 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 1/9 a)) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 1/9 a)) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 1/3 (sqrt.f64 a))) 1) 1)))))) |
| 1× | egg-herbie |
| 77× | associate-*l*_binary64 |
| 74× | fma-def_binary64 |
| 71× | distribute-lft-in_binary64 |
| 71× | distribute-rgt-in_binary64 |
| 43× | associate-*r*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 216 |
| 1 | 23 | 216 |
| 2 | 51 | 216 |
| 3 | 171 | 192 |
| 4 | 429 | 192 |
| 5 | 541 | 192 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a)))) |
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a)))) |
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a)))) |
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a)))) |
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a)))) |
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a)))) |
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a)))) |
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a)))) |
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a)))) |
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a)))) |
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a)))) |
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a)))) |
| Outputs |
|---|
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a)))) |
(*.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand)) (sqrt.f64 (/.f64 1 a))) |
(*.f64 1/3 (*.f64 rand (*.f64 (+.f64 a -1/3) (sqrt.f64 (/.f64 1 a))))) |
(*.f64 rand (*.f64 (sqrt.f64 (/.f64 1 a)) (fma.f64 1/3 a -1/9))) |
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a)))) |
(*.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand)) (sqrt.f64 (/.f64 1 a))) |
(*.f64 1/3 (*.f64 rand (*.f64 (+.f64 a -1/3) (sqrt.f64 (/.f64 1 a))))) |
(*.f64 rand (*.f64 (sqrt.f64 (/.f64 1 a)) (fma.f64 1/3 a -1/9))) |
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a)))) |
(*.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand)) (sqrt.f64 (/.f64 1 a))) |
(*.f64 1/3 (*.f64 rand (*.f64 (+.f64 a -1/3) (sqrt.f64 (/.f64 1 a))))) |
(*.f64 rand (*.f64 (sqrt.f64 (/.f64 1 a)) (fma.f64 1/3 a -1/9))) |
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a)))) |
(*.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand)) (sqrt.f64 (/.f64 1 a))) |
(*.f64 1/3 (*.f64 rand (*.f64 (+.f64 a -1/3) (sqrt.f64 (/.f64 1 a))))) |
(*.f64 rand (*.f64 (sqrt.f64 (/.f64 1 a)) (fma.f64 1/3 a -1/9))) |
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a)))) |
(*.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand)) (sqrt.f64 (/.f64 1 a))) |
(*.f64 1/3 (*.f64 rand (*.f64 (+.f64 a -1/3) (sqrt.f64 (/.f64 1 a))))) |
(*.f64 rand (*.f64 (sqrt.f64 (/.f64 1 a)) (fma.f64 1/3 a -1/9))) |
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a)))) |
(*.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand)) (sqrt.f64 (/.f64 1 a))) |
(*.f64 1/3 (*.f64 rand (*.f64 (+.f64 a -1/3) (sqrt.f64 (/.f64 1 a))))) |
(*.f64 rand (*.f64 (sqrt.f64 (/.f64 1 a)) (fma.f64 1/3 a -1/9))) |
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a)))) |
(*.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand)) (sqrt.f64 (/.f64 1 a))) |
(*.f64 1/3 (*.f64 rand (*.f64 (+.f64 a -1/3) (sqrt.f64 (/.f64 1 a))))) |
(*.f64 rand (*.f64 (sqrt.f64 (/.f64 1 a)) (fma.f64 1/3 a -1/9))) |
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a)))) |
(*.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand)) (sqrt.f64 (/.f64 1 a))) |
(*.f64 1/3 (*.f64 rand (*.f64 (+.f64 a -1/3) (sqrt.f64 (/.f64 1 a))))) |
(*.f64 rand (*.f64 (sqrt.f64 (/.f64 1 a)) (fma.f64 1/3 a -1/9))) |
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a)))) |
(*.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand)) (sqrt.f64 (/.f64 1 a))) |
(*.f64 1/3 (*.f64 rand (*.f64 (+.f64 a -1/3) (sqrt.f64 (/.f64 1 a))))) |
(*.f64 rand (*.f64 (sqrt.f64 (/.f64 1 a)) (fma.f64 1/3 a -1/9))) |
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a)))) |
(*.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand)) (sqrt.f64 (/.f64 1 a))) |
(*.f64 1/3 (*.f64 rand (*.f64 (+.f64 a -1/3) (sqrt.f64 (/.f64 1 a))))) |
(*.f64 rand (*.f64 (sqrt.f64 (/.f64 1 a)) (fma.f64 1/3 a -1/9))) |
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a)))) |
(*.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand)) (sqrt.f64 (/.f64 1 a))) |
(*.f64 1/3 (*.f64 rand (*.f64 (+.f64 a -1/3) (sqrt.f64 (/.f64 1 a))))) |
(*.f64 rand (*.f64 (sqrt.f64 (/.f64 1 a)) (fma.f64 1/3 a -1/9))) |
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a)))) |
(*.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand)) (sqrt.f64 (/.f64 1 a))) |
(*.f64 1/3 (*.f64 rand (*.f64 (+.f64 a -1/3) (sqrt.f64 (/.f64 1 a))))) |
(*.f64 rand (*.f64 (sqrt.f64 (/.f64 1 a)) (fma.f64 1/3 a -1/9))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (*.f64 9 a) 3) |
| 0.1b | (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))) | |
| 0.3b | (/.f64 1 (-.f64 (*.f64 9 a) 3)) | |
| ✓ | 7.7b | (*.f64 (*.f64 rand a) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
Compiled 45 to 33 computations (26.7% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | a | @ | 0 | (*.f64 (*.f64 rand a) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
| 1.0ms | a | @ | -inf | (*.f64 (*.f64 rand a) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
| 1.0ms | rand | @ | 0 | (*.f64 (*.f64 rand a) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
| 1.0ms | a | @ | inf | (*.f64 (*.f64 rand a) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
| 1.0ms | rand | @ | inf | (*.f64 (*.f64 rand a) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
| 1× | batch-egg-rewrite |
| 554× | log-prod_binary64 |
| 411× | exp-prod_binary64 |
| 371× | pow-prod-down_binary64 |
| 298× | pow2_binary64 |
| 209× | pow1/3_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 21 |
| 1 | 253 | 18 |
| 2 | 2994 | 18 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 rand a) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
(-.f64 (*.f64 9 a) 3) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 rand a) (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 rand) (/.f64 a (sqrt.f64 (fma.f64 a 9 -3))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 rand) (/.f64 a (sqrt.f64 (fma.f64 a 9 -3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 rand) (/.f64 a (sqrt.f64 (fma.f64 a 9 -3)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 rand) (/.f64 a (sqrt.f64 (fma.f64 a 9 -3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 rand a) (sqrt.f64 (fma.f64 a 9 -3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 rand a) (sqrt.f64 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 rand a) (sqrt.f64 (fma.f64 a 9 -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (/.f64 (*.f64 rand a) (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 rand a) (sqrt.f64 (fma.f64 a 9 -3))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 rand a) (sqrt.f64 (fma.f64 a 9 -3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 rand a) (sqrt.f64 (fma.f64 a 9 -3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 rand a) (sqrt.f64 (fma.f64 a 9 -3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (*.f64 rand a) (sqrt.f64 (fma.f64 a 9 -3))))) 2)) (cbrt.f64 (log.f64 (/.f64 (*.f64 rand a) (sqrt.f64 (fma.f64 a 9 -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (*.f64 rand a) (sqrt.f64 (fma.f64 a 9 -3)))))) (sqrt.f64 (log.f64 (/.f64 (*.f64 rand a) (sqrt.f64 (fma.f64 a 9 -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 rand a) (sqrt.f64 (fma.f64 a 9 -3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 rand) (/.f64 a (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 rand a) (sqrt.f64 (fma.f64 a 9 -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 rand a) (sqrt.f64 (fma.f64 a 9 -3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 rand a) (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 rand a) (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 rand a) (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 rand a) (sqrt.f64 (fma.f64 a 9 -3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (*.f64 rand a) (sqrt.f64 (fma.f64 a 9 -3))) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (*.f64 rand a) (sqrt.f64 (fma.f64 a 9 -3))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 rand a) (sqrt.f64 (fma.f64 a 9 -3))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 rand a) (sqrt.f64 (fma.f64 a 9 -3)))) 1) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a 9) -3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 a 9 -3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -3 (*.f64 a 9))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 a 9 -3))) 2)) (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 1 (fma.f64 a 9 -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 a 9 -3) 1)))) (#(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 (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 (sqrt.f64 (fma.f64 a 9 -3)) (sqrt.f64 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 729 (pow.f64 a 3) -27) (/.f64 1 (fma.f64 81 (*.f64 a a) (fma.f64 a 27 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 81 (*.f64 a a) -9) (/.f64 1 (fma.f64 a 9 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 81 (*.f64 a a) (fma.f64 a 27 9)) (fma.f64 729 (pow.f64 a 3) -27)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 a 9 3) (fma.f64 81 (*.f64 a a) -9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 a 9 -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 2) (cbrt.f64 (/.f64 1 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 a 9 -3)) (pow.f64 (fma.f64 a 9 -3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 a 9 -3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (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 (fma.f64 729 (pow.f64 a 3) -27) (fma.f64 81 (*.f64 a a) (-.f64 9 (*.f64 (*.f64 a 9) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 81 (*.f64 a a) -9) (fma.f64 a 9 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 729 (pow.f64 a 3) -27)) (neg.f64 (fma.f64 81 (*.f64 a a) (fma.f64 a 27 9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 81 (*.f64 a a) -9)) (neg.f64 (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 (/.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 (E.f64) (log.f64 (fma.f64 a 9 -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) -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 pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 a 9 -3))) -3)))) (#(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 (/.f64 (fma.f64 81 (*.f64 a a) (fma.f64 a 27 9)) (fma.f64 729 (pow.f64 a 3) -27)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 a 9 3) (fma.f64 81 (*.f64 a a) -9)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 a 9 -3))) 2)) (cbrt.f64 (log.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 a 9 -3)))) (sqrt.f64 (log.f64 (fma.f64 a 9 -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))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 a 9 -3) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 a 9 -3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 a 9 -3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 a 9 -3)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a 9 -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 a 9) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 9 a -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a 9) 1 -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) 9) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 a 9)) (pow.f64 (cbrt.f64 (*.f64 a 9)) 2) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 a 9)) 2) (cbrt.f64 (*.f64 a 9)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) 9) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (sqrt.f64 a)) (*.f64 3 (sqrt.f64 a)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 9 (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 9 (sqrt.f64 a)) (sqrt.f64 a) -3))))) |
| 1× | egg-herbie |
| 811× | times-frac_binary64 |
| 736× | associate-/l*_binary64 |
| 655× | distribute-rgt-out_binary64 |
| 605× | fma-def_binary64 |
| 475× | associate-/r*_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 382 |
| 1 | 130 | 375 |
| 2 | 372 | 370 |
| 3 | 1614 | 320 |
| 4 | 7541 | 311 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
(*.f64 (*.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
(*.f64 (*.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
(*.f64 (*.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
(*.f64 (*.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
(*.f64 (*.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
(*.f64 (*.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
(*.f64 (*.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
(*.f64 (*.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
(*.f64 (*.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
(*.f64 (*.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
(*.f64 (*.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
(*.f64 a (*.f64 rand (sqrt.f64 -1/3))) |
(+.f64 (*.f64 a (*.f64 rand (sqrt.f64 -1/3))) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 2) 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 3) rand)) (sqrt.f64 -1/3))) (+.f64 (*.f64 a (*.f64 rand (sqrt.f64 -1/3))) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 2) 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 3) rand)) (sqrt.f64 -1/3))) (+.f64 (*.f64 a (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 2) rand) (sqrt.f64 -1/3))) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 4) (*.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)))))) |
-3 |
(*.f64 9 a) |
(*.f64 9 a) |
| Outputs |
|---|
(*.f64 (*.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
(*.f64 (*.f64 a rand) (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) |
(*.f64 a (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))) |
(*.f64 rand (*.f64 a (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))) |
(*.f64 (*.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
(*.f64 (*.f64 a rand) (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) |
(*.f64 a (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))) |
(*.f64 rand (*.f64 a (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))) |
(*.f64 (*.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
(*.f64 (*.f64 a rand) (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) |
(*.f64 a (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))) |
(*.f64 rand (*.f64 a (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))) |
(*.f64 (*.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
(*.f64 (*.f64 a rand) (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) |
(*.f64 a (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))) |
(*.f64 rand (*.f64 a (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))) |
(*.f64 (*.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
(*.f64 (*.f64 a rand) (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) |
(*.f64 a (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))) |
(*.f64 rand (*.f64 a (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))) |
(*.f64 (*.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
(*.f64 (*.f64 a rand) (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) |
(*.f64 a (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))) |
(*.f64 rand (*.f64 a (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))) |
(*.f64 (*.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
(*.f64 (*.f64 a rand) (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) |
(*.f64 a (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))) |
(*.f64 rand (*.f64 a (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))) |
(*.f64 (*.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
(*.f64 (*.f64 a rand) (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) |
(*.f64 a (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))) |
(*.f64 rand (*.f64 a (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))) |
(*.f64 (*.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
(*.f64 (*.f64 a rand) (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) |
(*.f64 a (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))) |
(*.f64 rand (*.f64 a (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))) |
(*.f64 (*.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
(*.f64 (*.f64 a rand) (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) |
(*.f64 a (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))) |
(*.f64 rand (*.f64 a (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))) |
(*.f64 (*.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
(*.f64 (*.f64 a rand) (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) |
(*.f64 a (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))) |
(*.f64 rand (*.f64 a (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))) |
(*.f64 (*.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
(*.f64 (*.f64 a rand) (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) |
(*.f64 a (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))) |
(*.f64 rand (*.f64 a (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))) |
(*.f64 a (*.f64 rand (sqrt.f64 -1/3))) |
(*.f64 rand (*.f64 a (sqrt.f64 -1/3))) |
(+.f64 (*.f64 a (*.f64 rand (sqrt.f64 -1/3))) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 2) rand) (sqrt.f64 -1/3)))) |
(fma.f64 a (*.f64 rand (sqrt.f64 -1/3)) (*.f64 -1/2 (/.f64 (*.f64 rand (*.f64 a a)) (sqrt.f64 -1/3)))) |
(fma.f64 -1/2 (/.f64 (*.f64 a a) (/.f64 (sqrt.f64 -1/3) rand)) (*.f64 rand (*.f64 a (sqrt.f64 -1/3)))) |
(fma.f64 a (*.f64 rand (sqrt.f64 -1/3)) (/.f64 (*.f64 (*.f64 (*.f64 rand -1/2) a) a) (sqrt.f64 -1/3))) |
(*.f64 rand (+.f64 (*.f64 a (sqrt.f64 -1/3)) (/.f64 (*.f64 a a) (/.f64 (sqrt.f64 -1/3) -1/2)))) |
(*.f64 (*.f64 a rand) (+.f64 (sqrt.f64 -1/3) (/.f64 -1/2 (/.f64 (sqrt.f64 -1/3) a)))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (*.f64 (pow.f64 a 3) rand)) (sqrt.f64 -1/3))) (+.f64 (*.f64 a (*.f64 rand (sqrt.f64 -1/3))) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 2) rand) (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 (pow.f64 a 3)))) (fma.f64 a (*.f64 rand (sqrt.f64 -1/3)) (*.f64 -1/2 (/.f64 (*.f64 rand (*.f64 a a)) (sqrt.f64 -1/3))))) |
(fma.f64 -1/2 (*.f64 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)) (*.f64 rand (pow.f64 a 3))) (fma.f64 -1/2 (/.f64 (*.f64 a a) (/.f64 (sqrt.f64 -1/3) rand)) (*.f64 rand (*.f64 a (sqrt.f64 -1/3))))) |
(fma.f64 a (*.f64 rand (sqrt.f64 -1/3)) (*.f64 -1/2 (+.f64 (*.f64 (/.f64 (*.f64 rand (pow.f64 a 3)) (sqrt.f64 -1/3)) (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2))) (*.f64 rand (/.f64 (*.f64 a a) (sqrt.f64 -1/3)))))) |
(fma.f64 a (*.f64 rand (sqrt.f64 -1/3)) (*.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) (+.f64 (*.f64 a (*.f64 a rand)) (*.f64 rand (*.f64 9/4 (pow.f64 a 3)))))) |
(fma.f64 a (*.f64 rand (sqrt.f64 -1/3)) (*.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) (*.f64 rand (+.f64 (*.f64 9/4 (pow.f64 a 3)) (*.f64 a a))))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (*.f64 (pow.f64 a 3) rand)) (sqrt.f64 -1/3))) (+.f64 (*.f64 a (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 2) rand) (sqrt.f64 -1/3))) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 4) (*.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 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) (*.f64 rand (pow.f64 a 3)))) (fma.f64 a (*.f64 rand (sqrt.f64 -1/3)) (*.f64 -1/2 (+.f64 (/.f64 (*.f64 rand (*.f64 a a)) (sqrt.f64 -1/3)) (/.f64 (pow.f64 a 4) (/.f64 (sqrt.f64 -1/3) (*.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))))))))))) |
(fma.f64 -1/2 (*.f64 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)) (*.f64 rand (pow.f64 a 3))) (fma.f64 -1/2 (+.f64 (/.f64 (*.f64 a a) (/.f64 (sqrt.f64 -1/3) rand)) (*.f64 (/.f64 (pow.f64 a 4) (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)))) (*.f64 rand (*.f64 a (sqrt.f64 -1/3))))) |
(fma.f64 a (*.f64 rand (sqrt.f64 -1/3)) (*.f64 -1/2 (+.f64 (fma.f64 (/.f64 (*.f64 a a) (sqrt.f64 -1/3)) rand (*.f64 (*.f64 rand (+.f64 9 (*.f64 -3/2 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2))))) (/.f64 (pow.f64 a 4) (sqrt.f64 -1/3)))) (*.f64 (/.f64 (*.f64 rand (pow.f64 a 3)) (sqrt.f64 -1/3)) (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)))))) |
(fma.f64 a (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 (/.f64 (pow.f64 a 4) (sqrt.f64 -1/3)) (*.f64 rand -45/16) (*.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) (+.f64 (*.f64 a (*.f64 a rand)) (*.f64 rand (*.f64 9/4 (pow.f64 a 3))))))) |
(fma.f64 a (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 (/.f64 (pow.f64 a 4) (sqrt.f64 -1/3)) (*.f64 rand -45/16) (*.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) (*.f64 rand (+.f64 (*.f64 9/4 (pow.f64 a 3)) (*.f64 a a)))))) |
-3 |
(*.f64 9 a) |
(*.f64 a 9) |
(*.f64 9 a) |
(*.f64 a 9) |
Compiled 11652 to 8062 computations (30.8% saved)
14 alts after pruning (10 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 731 | 10 | 741 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 7 | 4 | 11 |
| Total | 740 | 14 | 754 |
| Status | Error | Program |
|---|---|---|
| 53.2b | (/.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) 1/3) (sqrt.f64 a)) | |
| 46.7b | (*.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 1/3) rand) | |
| ✓ | 0.4b | (-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3) |
| 18.0b | a | |
| ✓ | 17.0b | (-.f64 a 1/3) |
| 62.4b | (*.f64 rand (*.f64 (sqrt.f64 a) -1/3)) | |
| ✓ | 0.6b | (*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))))) |
| ✓ | 46.7b | (*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 1/9)) rand) |
| 53.2b | (*.f64 (*.f64 rand a) (sqrt.f64 (/.f64 1/9 a))) | |
| 47.1b | (*.f64 (sqrt.f64 (*.f64 1/9 a)) rand) | |
| 47.1b | (*.f64 (sqrt.f64 a) (*.f64 1/3 rand)) | |
| 60.5b | (*.f64 (sqrt.f64 (*.f64 rand (*.f64 rand a))) 1/3) | |
| 47.4b | (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) | |
| 0.5b | (-.f64 a (-.f64 1/3 (*.f64 (/.f64 rand (sqrt.f64 a)) (*.f64 1/3 (+.f64 a -1/3))))) |
Compiled 136 to 103 computations (24.3% saved)
| Inputs |
|---|
a |
a |
a |
(-.f64 a 1/3) |
(*.f64 rand (*.f64 (sqrt.f64 a) -1/3)) |
(*.f64 (sqrt.f64 (*.f64 1/9 a)) rand) |
(*.f64 (sqrt.f64 a) (*.f64 1/3 rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
(*.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 1/3) rand) |
(*.f64 (*.f64 rand a) (sqrt.f64 (/.f64 1/9 a))) |
(*.f64 (sqrt.f64 (*.f64 rand (*.f64 rand a))) 1/3) |
(*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 1/9)) rand) |
(sqrt.f64 (*.f64 (*.f64 rand a) (*.f64 rand 1/9))) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)) |
(/.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) 1/3) (sqrt.f64 a)) |
(*.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 1/3 (/.f64 rand (sqrt.f64 a))))) |
(*.f64 (*.f64 rand a) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a))))) |
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3) |
(-.f64 a (-.f64 1/3 (*.f64 (/.f64 rand (sqrt.f64 a)) (*.f64 1/3 (+.f64 a -1/3))))) |
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
(-.f64 a (-.f64 1/3 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 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 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand))) |
(*.f64 rand (*.f64 (+.f64 -1/3 a) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))) |
(*.f64 rand (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (+.f64 a -1/3))) |
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) |
(fma.f64 (*.f64 (+.f64 a -1/3) (pow.f64 (fma.f64 9 a -3) -1/2)) rand (+.f64 a -1/3)) |
| Outputs |
|---|
(fma.f64 (*.f64 (+.f64 a -1/3) (pow.f64 (fma.f64 9 a -3) -1/2)) rand (+.f64 a -1/3)) |
4 calls:
| 51.0ms | (*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand))) |
| 40.0ms | a |
| 20.0ms | (-.f64 a (/.f64 1 3)) |
| 17.0ms | rand |
| Error | Segments | Branch |
|---|---|---|
| 0.1b | 1 | a |
| 0.1b | 1 | rand |
| 0.1b | 1 | (*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand))) |
| 0.1b | 1 | (-.f64 a (/.f64 1 3)) |
Compiled 335 to 240 computations (28.4% saved)
| Inputs |
|---|
a |
a |
a |
(-.f64 a 1/3) |
(*.f64 rand (*.f64 (sqrt.f64 a) -1/3)) |
(*.f64 (sqrt.f64 (*.f64 1/9 a)) rand) |
(*.f64 (sqrt.f64 a) (*.f64 1/3 rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
(*.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 1/3) rand) |
(*.f64 (*.f64 rand a) (sqrt.f64 (/.f64 1/9 a))) |
(*.f64 (sqrt.f64 (*.f64 rand (*.f64 rand a))) 1/3) |
(*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 1/9)) rand) |
(sqrt.f64 (*.f64 (*.f64 rand a) (*.f64 rand 1/9))) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)) |
(/.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) 1/3) (sqrt.f64 a)) |
(*.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 1/3 (/.f64 rand (sqrt.f64 a))))) |
(*.f64 (*.f64 rand a) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a))))) |
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3) |
(-.f64 a (-.f64 1/3 (*.f64 (/.f64 rand (sqrt.f64 a)) (*.f64 1/3 (+.f64 a -1/3))))) |
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
(-.f64 a (-.f64 1/3 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 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 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand))) |
(*.f64 rand (*.f64 (+.f64 -1/3 a) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))) |
(*.f64 rand (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (+.f64 a -1/3))) |
(*.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:
| 19.0ms | (*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand))) |
| 18.0ms | rand |
| 17.0ms | a |
| 16.0ms | (-.f64 a (/.f64 1 3)) |
| 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 320 to 229 computations (28.4% saved)
| Inputs |
|---|
a |
a |
a |
(-.f64 a 1/3) |
(*.f64 rand (*.f64 (sqrt.f64 a) -1/3)) |
(*.f64 (sqrt.f64 (*.f64 1/9 a)) rand) |
(*.f64 (sqrt.f64 a) (*.f64 1/3 rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
(*.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 1/3) rand) |
(*.f64 (*.f64 rand a) (sqrt.f64 (/.f64 1/9 a))) |
(*.f64 (sqrt.f64 (*.f64 rand (*.f64 rand a))) 1/3) |
(*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 1/9)) rand) |
(sqrt.f64 (*.f64 (*.f64 rand a) (*.f64 rand 1/9))) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)) |
(/.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) 1/3) (sqrt.f64 a)) |
(*.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 1/3 (/.f64 rand (sqrt.f64 a))))) |
(*.f64 (*.f64 rand a) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a))))) |
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3) |
(-.f64 a (-.f64 1/3 (*.f64 (/.f64 rand (sqrt.f64 a)) (*.f64 1/3 (+.f64 a -1/3))))) |
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
(-.f64 a (-.f64 1/3 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))) |
| Outputs |
|---|
(-.f64 a (-.f64 1/3 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))) |
2 calls:
| 18.0ms | a |
| 15.0ms | rand |
| Error | Segments | Branch |
|---|---|---|
| 0.1b | 1 | a |
| 0.1b | 1 | rand |
Compiled 216 to 144 computations (33.3% saved)
| Inputs |
|---|
a |
a |
a |
(-.f64 a 1/3) |
(*.f64 rand (*.f64 (sqrt.f64 a) -1/3)) |
(*.f64 (sqrt.f64 (*.f64 1/9 a)) rand) |
(*.f64 (sqrt.f64 a) (*.f64 1/3 rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
(*.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 1/3) rand) |
(*.f64 (*.f64 rand a) (sqrt.f64 (/.f64 1/9 a))) |
(*.f64 (sqrt.f64 (*.f64 rand (*.f64 rand a))) 1/3) |
(*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 1/9)) rand) |
(sqrt.f64 (*.f64 (*.f64 rand a) (*.f64 rand 1/9))) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)) |
(/.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) 1/3) (sqrt.f64 a)) |
(*.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 1/3 (/.f64 rand (sqrt.f64 a))))) |
(*.f64 (*.f64 rand a) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a))))) |
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3) |
(-.f64 a (-.f64 1/3 (*.f64 (/.f64 rand (sqrt.f64 a)) (*.f64 1/3 (+.f64 a -1/3))))) |
(*.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:
| 15.0ms | a |
| 13.0ms | rand |
| Error | Segments | Branch |
|---|---|---|
| 0.4b | 1 | a |
| 0.4b | 1 | rand |
Compiled 200 to 132 computations (34% saved)
| Inputs |
|---|
a |
a |
a |
(-.f64 a 1/3) |
(*.f64 rand (*.f64 (sqrt.f64 a) -1/3)) |
(*.f64 (sqrt.f64 (*.f64 1/9 a)) rand) |
(*.f64 (sqrt.f64 a) (*.f64 1/3 rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
(*.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 1/3) rand) |
(*.f64 (*.f64 rand a) (sqrt.f64 (/.f64 1/9 a))) |
(*.f64 (sqrt.f64 (*.f64 rand (*.f64 rand a))) 1/3) |
(*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 1/9)) rand) |
(sqrt.f64 (*.f64 (*.f64 rand a) (*.f64 rand 1/9))) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)) |
(/.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) 1/3) (sqrt.f64 a)) |
(*.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 1/3 (/.f64 rand (sqrt.f64 a))))) |
(*.f64 (*.f64 rand a) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a))))) |
| Outputs |
|---|
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a))))) |
2 calls:
| 14.0ms | a |
| 14.0ms | rand |
| Error | Segments | Branch |
|---|---|---|
| 0.6b | 1 | a |
| 0.6b | 1 | rand |
Compiled 160 to 104 computations (35% saved)
| Inputs |
|---|
a |
a |
a |
(-.f64 a 1/3) |
(*.f64 rand (*.f64 (sqrt.f64 a) -1/3)) |
(*.f64 (sqrt.f64 (*.f64 1/9 a)) rand) |
(*.f64 (sqrt.f64 a) (*.f64 1/3 rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
(*.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 1/3) rand) |
(*.f64 (*.f64 rand a) (sqrt.f64 (/.f64 1/9 a))) |
(*.f64 (sqrt.f64 (*.f64 rand (*.f64 rand a))) 1/3) |
(*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 1/9)) rand) |
(sqrt.f64 (*.f64 (*.f64 rand a) (*.f64 rand 1/9))) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)) |
(/.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) 1/3) (sqrt.f64 a)) |
(*.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 1/3 (/.f64 rand (sqrt.f64 a))))) |
(*.f64 (*.f64 rand a) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
| Outputs |
|---|
(*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))))) |
2 calls:
| 12.0ms | a |
| 12.0ms | rand |
| Error | Segments | Branch |
|---|---|---|
| 0.6b | 1 | a |
| 0.6b | 1 | rand |
Compiled 148 to 95 computations (35.8% saved)
| Inputs |
|---|
a |
a |
a |
(-.f64 a 1/3) |
(*.f64 rand (*.f64 (sqrt.f64 a) -1/3)) |
(*.f64 (sqrt.f64 (*.f64 1/9 a)) rand) |
(*.f64 (sqrt.f64 a) (*.f64 1/3 rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
(*.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 1/3) rand) |
(*.f64 (*.f64 rand a) (sqrt.f64 (/.f64 1/9 a))) |
(*.f64 (sqrt.f64 (*.f64 rand (*.f64 rand a))) 1/3) |
(*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 1/9)) rand) |
(sqrt.f64 (*.f64 (*.f64 rand a) (*.f64 rand 1/9))) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)) |
(/.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) 1/3) (sqrt.f64 a)) |
(*.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:
| 46.0ms | a |
| 29.0ms | rand |
| Error | Segments | Branch |
|---|---|---|
| 14.8b | 5 | a |
| 3.8b | 3 | rand |
Compiled 124 to 79 computations (36.3% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 31.0ms | 1.535103304380144e+75 | 3.12258696477144e+79 |
| 47.0ms | -1.0077323823976105e+90 | -2.2854248367818657e+86 |
Compiled 27 to 23 computations (14.8% saved)
| Inputs |
|---|
a |
a |
a |
(-.f64 a 1/3) |
(*.f64 rand (*.f64 (sqrt.f64 a) -1/3)) |
(*.f64 (sqrt.f64 (*.f64 1/9 a)) rand) |
(*.f64 (sqrt.f64 a) (*.f64 1/3 rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
(*.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 1/3) rand) |
(*.f64 (*.f64 rand a) (sqrt.f64 (/.f64 1/9 a))) |
(*.f64 (sqrt.f64 (*.f64 rand (*.f64 rand a))) 1/3) |
| Outputs |
|---|
(*.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 1/3) rand) |
(-.f64 a 1/3) |
(*.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 1/3) rand) |
2 calls:
| 33.0ms | a |
| 21.0ms | rand |
| Error | Segments | Branch |
|---|---|---|
| 14.8b | 5 | a |
| 3.8b | 3 | rand |
Compiled 62 to 37 computations (40.3% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 31.0ms | 1.535103304380144e+75 | 3.12258696477144e+79 |
| 31.0ms | -1.0077323823976105e+90 | -2.2854248367818657e+86 |
Compiled 27 to 23 computations (14.8% saved)
| Inputs |
|---|
a |
a |
a |
(-.f64 a 1/3) |
(*.f64 rand (*.f64 (sqrt.f64 a) -1/3)) |
(*.f64 (sqrt.f64 (*.f64 1/9 a)) rand) |
(*.f64 (sqrt.f64 a) (*.f64 1/3 rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 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:
| 81.0ms | a |
| 28.0ms | rand |
| Error | Segments | Branch |
|---|---|---|
| 14.8b | 5 | a |
| 4.1b | 3 | rand |
Compiled 38 to 22 computations (42.1% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 33.0ms | 1.535103304380144e+75 | 3.12258696477144e+79 |
| 50.0ms | -1.0077323823976105e+90 | -2.2854248367818657e+86 |
Compiled 27 to 23 computations (14.8% saved)
| Inputs |
|---|
a |
a |
a |
(-.f64 a 1/3) |
(*.f64 rand (*.f64 (sqrt.f64 a) -1/3)) |
| Outputs |
|---|
(-.f64 a 1/3) |
2 calls:
| 5.0ms | rand |
| 4.0ms | a |
| Error | Segments | Branch |
|---|---|---|
| 17.0b | 1 | a |
| 17.0b | 1 | rand |
Compiled 20 to 12 computations (40% saved)
Total -0.0b remaining (-0%)
Threshold costs -0.0b (-0%)
| Inputs |
|---|
a |
a |
a |
| Outputs |
|---|
a |
2 calls:
| 4.0ms | a |
| 4.0ms | rand |
| Error | Segments | Branch |
|---|---|---|
| 18.0b | 1 | a |
| 18.0b | 1 | rand |
Compiled 11 to 6 computations (45.5% saved)
| 1× | egg-herbie |
| 153× | distribute-rgt-neg-in_binary64 |
| 111× | cancel-sign-sub-inv_binary64 |
| 99× | distribute-lft-neg-out_binary64 |
| 92× | distribute-lft-neg-in_binary64 |
| 82× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 239 |
| 1 | 101 | 239 |
| 2 | 124 | 239 |
| 3 | 152 | 239 |
| 4 | 187 | 239 |
| 5 | 241 | 239 |
| 6 | 340 | 239 |
| 7 | 493 | 239 |
| 8 | 699 | 239 |
| 9 | 899 | 239 |
| 10 | 1016 | 239 |
| 11 | 1055 | 239 |
| 12 | 1070 | 239 |
| 13 | 1079 | 239 |
| 14 | 1083 | 239 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (*.f64 (+.f64 a -1/3) (pow.f64 (fma.f64 9 a -3) -1/2)) rand (+.f64 a -1/3)) |
(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3))))) |
(-.f64 a (-.f64 1/3 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 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 rand (sqrt.f64 (*.f64 9 a))))) |
(*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))))) |
(if (<=.f64 rand -1007732382397610509528754999083953890709661429016940876239020983546095166269847643894054912) (*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 1/9)) rand) (if (<=.f64 rand 1535103304380144022876964728080261153899405128569660516595915363189054767104) (-.f64 a 1/3) (*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 1/9)) rand))) |
(if (<=.f64 rand -1007732382397610509528754999083953890709661429016940876239020983546095166269847643894054912) (*.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 1/3) rand) (if (<=.f64 rand 1535103304380144022876964728080261153899405128569660516595915363189054767104) (-.f64 a 1/3) (*.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 1/3) rand))) |
(if (<=.f64 rand -1007732382397610509528754999083953890709661429016940876239020983546095166269847643894054912) (*.f64 (sqrt.f64 (*.f64 1/9 a)) rand) (if (<=.f64 rand 1535103304380144022876964728080261153899405128569660516595915363189054767104) (-.f64 a 1/3) (*.f64 (sqrt.f64 (*.f64 1/9 a)) rand))) |
(-.f64 a 1/3) |
a |
| Outputs |
|---|
(fma.f64 (*.f64 (+.f64 a -1/3) (pow.f64 (fma.f64 9 a -3) -1/2)) rand (+.f64 a -1/3)) |
(fma.f64 (*.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (+.f64 a -1/3)) rand (+.f64 a -1/3)) |
(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3))))) |
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3))))) |
(-.f64 a (-.f64 1/3 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))) |
(-.f64 a (+.f64 1/3 (*.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) (-.f64 1/3 a)))) |
(+.f64 a (-.f64 -1/3 (*.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.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 (+.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 rand (sqrt.f64 (*.f64 9 a))))) |
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 a 9))))) |
(*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))))) |
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))))) |
(*.f64 (+.f64 a -1/3) (-.f64 1 (*.f64 -1/3 (/.f64 rand (sqrt.f64 a))))) |
(if (<=.f64 rand -1007732382397610509528754999083953890709661429016940876239020983546095166269847643894054912) (*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 1/9)) rand) (if (<=.f64 rand 1535103304380144022876964728080261153899405128569660516595915363189054767104) (-.f64 a 1/3) (*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 1/9)) rand))) |
(if (<=.f64 rand -1007732382397610509528754999083953890709661429016940876239020983546095166269847643894054912) (*.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 1/9))) (if (<=.f64 rand 1535103304380144022876964728080261153899405128569660516595915363189054767104) (+.f64 a -1/3) (*.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 1/9))))) |
(if (<=.f64 rand -1007732382397610509528754999083953890709661429016940876239020983546095166269847643894054912) (*.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 1/3) rand) (if (<=.f64 rand 1535103304380144022876964728080261153899405128569660516595915363189054767104) (-.f64 a 1/3) (*.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 1/3) rand))) |
(if (<=.f64 rand -1007732382397610509528754999083953890709661429016940876239020983546095166269847643894054912) (*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) (if (<=.f64 rand 1535103304380144022876964728080261153899405128569660516595915363189054767104) (+.f64 a -1/3) (*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))) |
(if (<=.f64 rand -1007732382397610509528754999083953890709661429016940876239020983546095166269847643894054912) (*.f64 (sqrt.f64 (*.f64 1/9 a)) rand) (if (<=.f64 rand 1535103304380144022876964728080261153899405128569660516595915363189054767104) (-.f64 a 1/3) (*.f64 (sqrt.f64 (*.f64 1/9 a)) rand))) |
(if (<=.f64 rand -1007732382397610509528754999083953890709661429016940876239020983546095166269847643894054912) (*.f64 rand (sqrt.f64 (*.f64 a 1/9))) (if (<=.f64 rand 1535103304380144022876964728080261153899405128569660516595915363189054767104) (+.f64 a -1/3) (*.f64 rand (sqrt.f64 (*.f64 a 1/9))))) |
(-.f64 a 1/3) |
(+.f64 a -1/3) |
a |
Compiled 184 to 141 computations (23.4% saved)
Compiled 164 to 121 computations (26.2% saved)
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