Time bar (total: 11.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 50% | 0.1% | 0% | 50% | 0% | 2 |
| 0% | 0% | 50% | 0.1% | 0% | 50% | 0% | 3 |
| 0% | 0% | 50% | 0.1% | 0% | 50% | 0% | 4 |
| 0% | 0% | 50% | 0.1% | 0% | 50% | 0% | 5 |
| 16.7% | 6.2% | 31.2% | 0.1% | 0% | 62.4% | 0% | 6 |
| 25% | 9.4% | 28.1% | 0.1% | 0% | 62.4% | 0% | 7 |
| 45% | 14% | 17.2% | 0.1% | 0% | 68.7% | 0% | 8 |
| 47.5% | 14.8% | 16.4% | 0.1% | 0% | 68.7% | 0% | 9 |
| 63.4% | 17.6% | 10.1% | 0.1% | 0.4% | 71.8% | 0% | 10 |
| 66.4% | 18.1% | 9.2% | 0.1% | 0.8% | 71.8% | 0% | 11 |
| 78.2% | 19.6% | 5.5% | 0.1% | 1.5% | 73.4% | 0% | 12 |
Compiled 23 to 20 computations (13% saved)
| 2.6s | 8256× | body | 256 | valid |
| 250.0ms | 573× | body | 256 | invalid |
| 209.0ms | 600× | body | 256 | infinite |
| 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 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) |
| ▶ | 0.1b | (*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand))) |
Compiled 37 to 31 computations (16.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (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 | |
|---|---|---|---|---|
| 3.0ms | a | @ | 0 | (*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) |
| 3.0ms | a | @ | -inf | (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) |
| 2.0ms | rand | @ | 0 | (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) |
| 2.0ms | a | @ | inf | (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) |
| 2.0ms | a | @ | 0 | (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) |
| 1× | batch-egg-rewrite |
| 588× | log-prod_binary64 |
| 492× | prod-diff_binary64 |
| 350× | fma-def_binary64 |
| 240× | pow1/3_binary64 |
| 237× | expm1-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 41 |
| 1 | 287 | 40 |
| 2 | 3747 | 40 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) |
(sqrt.f64 (fma.f64 a 9 -3)) |
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) |
(fma.f64 a 9 -3) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) (cbrt.f64 (exp.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (cbrt.f64 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3))) (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 rand) 2) (*.f64 (cbrt.f64 rand) (pow.f64 (fma.f64 a 9 -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 rand) (*.f64 (sqrt.f64 rand) (pow.f64 (fma.f64 a 9 -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 rand) (/.f64 1 (neg.f64 (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 rand) 2) 1) (/.f64 (cbrt.f64 rand) (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 rand) 1) (/.f64 (sqrt.f64 rand) (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (fma.f64 a 9 -3))) (/.f64 rand (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 rand) 2) (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 rand) (cbrt.f64 (fma.f64 a 9 -3))) (/.f64 (sqrt.f64 rand) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (fma.f64 a 9 -3) 1/4)) (/.f64 rand (pow.f64 (fma.f64 a 9 -3) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 rand) 2) (pow.f64 (fma.f64 a 9 -3) 1/4)) (/.f64 (cbrt.f64 rand) (pow.f64 (fma.f64 a 9 -3) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 rand (neg.f64 (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)) (pow.f64 (cbrt.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)) 2) (cbrt.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)) (sqrt.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 3)) (/.f64 1 (fma.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) -1) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3))) (/.f64 1 (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) -1))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 a 9 -3)))) (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 a 9 -3)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 a 9 -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 a 9 -3))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 a 9 -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 a 9 -3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 a 9 -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 a 9 -3)) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 a 9 -3) 1/4) (pow.f64 (fma.f64 a 9 -3) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 a 9 -3) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 a 9 -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a 9 -3) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a 9 -3) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 a 9 -3) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 a 9 -3)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 a 9 -3))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 a (+.f64 -1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -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 a 9 -3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 a -1/3) (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.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 +.f64 (*.f64 a (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)) (*.f64 -1/3 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1) a) (*.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1))) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 a (-.f64 1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 3))) (*.f64 (fma.f64 a a (fma.f64 a 1/3 1/9)) (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)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 a a -1/9) (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 3))) (*.f64 (+.f64 a 1/3) (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)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3)))) (*.f64 (fma.f64 a a (fma.f64 a 1/3 1/9)) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 a a -1/9) (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3)))) (*.f64 (+.f64 a 1/3) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 3)) (+.f64 (pow.f64 a 3) -1/27)) (*.f64 (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) (fma.f64 a a (fma.f64 a 1/3 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3))) (+.f64 (pow.f64 a 3) -1/27)) (*.f64 (-.f64 1 (/.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 (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 3)) (fma.f64 a a -1/9)) (*.f64 (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) (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3))) (fma.f64 a a -1/9)) (*.f64 (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3))) 3)) (+.f64 (pow.f64 (+.f64 a -1/3) 2) (-.f64 (*.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))) (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 a -1/3) 2) (*.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3))))) (-.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)) (fma.f64 a a (fma.f64 a 1/3 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 a a -1/9) (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 3)) (+.f64 a -1/3)) (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))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3))) (+.f64 a -1/3)) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 a -1/3) (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 3))) (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))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 a -1/3) (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3)))) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1) (+.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 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1) (fma.f64 a a -1/9)) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1) 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) (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 a -1/3))) (exp.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))) (exp.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))) (+.f64 1 (expm1.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1) 3) (pow.f64 (+.f64 a -1/3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (log.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log1p.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (log.f64 (+.f64 a -1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 rand (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (+.f64 a -1/3)) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a 1 (+.f64 -1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a 1 (neg.f64 (-.f64 1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1) (*.f64 -1/3 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 a -1/3) 1 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 a -1/3) 1 (*.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 1 a (+.f64 -1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 a (neg.f64 (-.f64 1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 a -1/3) (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.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 1 (/.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 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1) a (*.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3))) (*.f64 (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (+.f64 a -1/3)) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 a) (pow.f64 (cbrt.f64 a) 2) (+.f64 -1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 a) (pow.f64 (cbrt.f64 a) 2) (neg.f64 (-.f64 1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (+.f64 -1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (neg.f64 (-.f64 1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 a -1/3)) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 a -1/3)) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (*.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 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a -1/3)) (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a -1/3)) (*.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (*.f64 (cbrt.f64 (+.f64 a -1/3)) 1) (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (*.f64 (cbrt.f64 (+.f64 a -1/3)) 1) (*.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 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (*.f64 (cbrt.f64 (+.f64 a -1/3)) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (*.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (+.f64 a -1/3)) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (sqrt.f64 a) (+.f64 -1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (sqrt.f64 a) (neg.f64 (-.f64 1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)) (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.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 (sqrt.f64 (+.f64 a -1/3)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) 1) (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) 1) (*.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 1 (fma.f64 a a (fma.f64 a 1/3 1/9))) (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 1 (fma.f64 a a (fma.f64 a 1/3 1/9))) (*.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 a a -1/9) (/.f64 1 (+.f64 a 1/3)) (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 a 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 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) |
| ✓ | 0.2b | (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand) |
Compiled 86 to 73 computations (15.1% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | a | @ | inf | (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand) |
| 1.0ms | a | @ | -inf | (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand) |
| 1.0ms | a | @ | 0 | (*.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 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand))) |
| 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 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand) |
(/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) |
(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 (/.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 (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 (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))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1))) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1))))) (log.f64 (cbrt.f64 (pow.f64 (exp.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 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.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 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 (exp.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3))) (*.f64 (fma.f64 a a (fma.f64 a 1/3 1/9)) (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)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 a a -1/9) (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3))) (*.f64 (+.f64 a 1/3) (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)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)))) (*.f64 (fma.f64 a a (fma.f64 a 1/3 1/9)) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 a a -1/9) (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)))) (*.f64 (+.f64 a 1/3) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3)) (+.f64 (pow.f64 a 3) -1/27)) (*.f64 (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) (fma.f64 a a (fma.f64 a 1/3 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3))) (+.f64 (pow.f64 a 3) -1/27)) (*.f64 (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (fma.f64 a a (fma.f64 a 1/3 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3)) (fma.f64 a a -1/9)) (*.f64 (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) (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3))) (fma.f64 a a -1/9)) (*.f64 (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 9 a -3))) 3)) (+.f64 (pow.f64 (+.f64 a -1/3) 2) (-.f64 (*.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 9 a -3))) (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 9 a -3)))) (*.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 (pow.f64 (+.f64 a -1/3) 2) (*.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 9 a -3))) (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 9 a -3))))) (-.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 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1)) (fma.f64 a a (fma.f64 a 1/3 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 a a -1/9) (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1)) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3)) (+.f64 a -1/3)) (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))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3))) (+.f64 a -1/3)) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 a -1/3) (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3))) (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))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 a -1/3) (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)))) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) (+.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 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) (fma.f64 a a -1/9)) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.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 log.f64 (+.f64 1 (expm1.f64 (*.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 log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 a -1/3))) (exp.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 9 a -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 9 a -3)))) (exp.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 9 a -3)))) (+.f64 1 (expm1.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) 3) (pow.f64 (+.f64 a -1/3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.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 log1p.f64 (expm1.f64 (*.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 exp.f64 (+.f64 (log1p.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (log.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log1p.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (log.f64 (+.f64 a -1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 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 fma.f64 1 a (neg.f64 (-.f64 1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 9 a -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.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 fma.f64 1 (+.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 fma.f64 1 (/.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 fma.f64 a 1 (+.f64 -1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 9 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a 1 (neg.f64 (-.f64 1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 9 a -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.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 fma.f64 (+.f64 a -1/3) 1 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 a -1/3) 1 (*.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 9 a -3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (*.f64 rand (+.f64 a -1/3)) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 rand (*.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (+.f64 a -1/3)) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.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))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 a -1/3)) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 a -1/3)) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (*.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 9 a -3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a -1/3)) (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a -1/3)) (*.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 9 a -3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (*.f64 (cbrt.f64 (+.f64 a -1/3)) (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (*.f64 (cbrt.f64 (+.f64 a -1/3)) 1) (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (*.f64 (cbrt.f64 (+.f64 a -1/3)) 1) (*.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 9 a -3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3))) (*.f64 (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (+.f64 a -1/3)) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 a) (pow.f64 (cbrt.f64 a) 2) (+.f64 -1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 9 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 a) (pow.f64 (cbrt.f64 a) 2) (neg.f64 (-.f64 1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 9 a -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.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 fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (neg.f64 (-.f64 1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 9 a -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)) (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.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 fma.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) 1) (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) 1) (*.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 9 a -3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (*.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (+.f64 a -1/3)) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (sqrt.f64 a) (+.f64 -1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 9 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (sqrt.f64 a) (neg.f64 (-.f64 1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 9 a -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 1 (fma.f64 a a (fma.f64 a 1/3 1/9))) (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 1 (fma.f64 a a (fma.f64 a 1/3 1/9))) (*.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 9 a -3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 a a -1/9) (/.f64 1 (+.f64 a 1/3)) (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 a a -1/9) (/.f64 1 (+.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 fma.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 9 a -3)))) (cbrt.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 9 a -3))))) (cbrt.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 fma.f64 (sqrt.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 9 a -3)))) (sqrt.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 fma.f64 (*.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (sqrt.f64 (+.f64 a -1/3))) (*.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -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 9 a -3))))) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.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) rand) (pow.f64 (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 |
| 851× | 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 | 4344 | 799 |
| 1× | node limit |
| Inputs |
|---|
(*.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 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 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 (*.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 rand a) (sqrt.f64 -3)))) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (*.f64 -3/2 (/.f64 rand (/.f64 (sqrt.f64 -3) a)))) |
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (*.f64 (/.f64 a (sqrt.f64 -3)) (*.f64 rand -3/2))) |
(*.f64 rand (fma.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 rand (/.f64 (sqrt.f64 -3) a)) (*.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 rand (/.f64 a (sqrt.f64 -3))) (*.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 a (+.f64 (/.f64 -3/2 (sqrt.f64 -3)) (*.f64 (/.f64 -27/8 (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 rand (/.f64 (sqrt.f64 -3) a)) (*.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 rand (/.f64 a (sqrt.f64 -3))) (*.f64 -1/6 (+.f64 (*.f64 (*.f64 (/.f64 rand (sqrt.f64 -3)) (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2))) (*.f64 a a)) (*.f64 (pow.f64 a 3) (*.f64 rand (/.f64 (+.f64 81 (*.f64 -3/2 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)))) (sqrt.f64 -3)))))))) |
(+.f64 (*.f64 rand (fma.f64 1/3 (sqrt.f64 -3) (*.f64 -3/2 (/.f64 a (sqrt.f64 -3))))) (*.f64 rand (*.f64 (*.f64 a a) (+.f64 (*.f64 (/.f64 -135/16 (sqrt.f64 -3)) a) (/.f64 -27/8 (sqrt.f64 -3)))))) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)) |
(*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (+.f64 a -1/3))))) |
(*.f64 (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 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 (*.f64 -3/2 a) (sqrt.f64 -3))) |
(fma.f64 1/3 (sqrt.f64 -3) (*.f64 -3/2 (/.f64 a (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 -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 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) (*.f64 a a)))))) |
(fma.f64 1/3 (sqrt.f64 -3) (fma.f64 -1/6 (*.f64 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) a)) a) (*.f64 -3/2 (/.f64 a (sqrt.f64 -3))))) |
(fma.f64 1/3 (sqrt.f64 -3) (*.f64 a (+.f64 (/.f64 -3/2 (sqrt.f64 -3)) (*.f64 (/.f64 -27/8 (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 (/.f64 (fma.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) -3) 81) (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 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) (*.f64 a a))))))) |
(fma.f64 -3/2 (/.f64 a (sqrt.f64 -3)) (fma.f64 -1/6 (*.f64 (pow.f64 a 3) (/.f64 (+.f64 81 (*.f64 -3/2 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)))) (sqrt.f64 -3))) (fma.f64 1/3 (sqrt.f64 -3) (*.f64 -1/6 (*.f64 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) a)) a))))) |
(+.f64 (*.f64 (*.f64 a a) (+.f64 (*.f64 (/.f64 -135/16 (sqrt.f64 -3)) a) (/.f64 -27/8 (sqrt.f64 -3)))) (fma.f64 1/3 (sqrt.f64 -3) (*.f64 -3/2 (/.f64 a (sqrt.f64 -3))))) |
(*.f64 3 (sqrt.f64 -1/3)) |
(+.f64 (*.f64 3/2 (/.f64 a (sqrt.f64 -1/3))) (*.f64 3 (sqrt.f64 -1/3))) |
(fma.f64 3/2 (/.f64 a (sqrt.f64 -1/3)) (*.f64 3 (sqrt.f64 -1/3))) |
(fma.f64 3 (sqrt.f64 -1/3) (*.f64 3/2 (/.f64 a (sqrt.f64 -1/3)))) |
(fma.f64 3 (sqrt.f64 -1/3) (/.f64 a (/.f64 (sqrt.f64 -1/3) 3/2))) |
(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 3/2 (/.f64 a (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 a (/.f64 (sqrt.f64 -1/3) 3/2)))) |
(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 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 9/8 (/.f64 a (/.f64 (sqrt.f64 -1/3) a)) (fma.f64 3 (sqrt.f64 -1/3) (/.f64 a (/.f64 (sqrt.f64 -1/3) 3/2))))) |
(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 rand (sqrt.f64 -3)) 1)) |
(+.f64 -1/3 (*.f64 (*.f64 rand (sqrt.f64 -3)) -1/9)) |
(fma.f64 (*.f64 rand (sqrt.f64 -3)) -1/9 -1/3) |
(fma.f64 (*.f64 -1/9 rand) (sqrt.f64 -3) -1/3) |
(+.f64 (*.f64 a (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 1 (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1))) |
(fma.f64 a (+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1) (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))) (*.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1))) |
(fma.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 1/2 (/.f64 rand (sqrt.f64 -3)) 1)) (+.f64 -1/3 (*.f64 (*.f64 rand (sqrt.f64 -3)) -1/9))) |
(fma.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 1/2 (/.f64 rand (sqrt.f64 -3)) 1)) (fma.f64 (*.f64 rand (sqrt.f64 -3)) -1/9 -1/3)) |
(+.f64 (*.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 -3)) 1) (+.f64 a -1/3)) (*.f64 a (*.f64 (/.f64 1/2 (sqrt.f64 -3)) rand))) |
(+.f64 (*.f64 a (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 1 (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (+.f64 (*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)) (*.f64 (+.f64 (*.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (*.f64 1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3)))) (pow.f64 a 2)))) |
(fma.f64 a (+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1) (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))) (fma.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1) (*.f64 (*.f64 a a) (fma.f64 -3/2 (/.f64 rand (sqrt.f64 -3)) (*.f64 1/18 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand))))))) |
(fma.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 1/2 (/.f64 rand (sqrt.f64 -3)) 1)) (fma.f64 (*.f64 a a) (fma.f64 -3/2 (/.f64 rand (sqrt.f64 -3)) (*.f64 1/18 (*.f64 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3)) rand))) (+.f64 -1/3 (*.f64 (*.f64 rand (sqrt.f64 -3)) -1/9)))) |
(fma.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 1/2 (/.f64 rand (sqrt.f64 -3)) 1)) (fma.f64 (*.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 rand (sqrt.f64 -3)) -1/9 -1/3))) |
(fma.f64 a (*.f64 a (*.f64 rand (+.f64 (/.f64 -3/2 (sqrt.f64 -3)) (/.f64 9/8 (sqrt.f64 -3))))) (+.f64 (*.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 -3)) 1) (+.f64 a -1/3)) (*.f64 a (*.f64 (/.f64 1/2 (sqrt.f64 -3)) rand)))) |
(+.f64 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/18 (/.f64 (*.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) rand) (sqrt.f64 -3))) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3))))) (+.f64 (*.f64 a (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 1 (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (+.f64 (*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)) (*.f64 (+.f64 (*.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (*.f64 1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3)))) (pow.f64 a 2))))) |
(fma.f64 (pow.f64 a 3) (fma.f64 1/18 (/.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (/.f64 (sqrt.f64 -3) rand)) (*.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand)))) (fma.f64 a (+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1) (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))) (fma.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1) (*.f64 (*.f64 a a) (fma.f64 -3/2 (/.f64 rand (sqrt.f64 -3)) (*.f64 1/18 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand)))))))) |
(fma.f64 (pow.f64 a 3) (fma.f64 -1/6 (*.f64 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3)) rand) (*.f64 1/18 (*.f64 (/.f64 (fma.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) -3) 81) (sqrt.f64 -3)) rand))) (fma.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 1/2 (/.f64 rand (sqrt.f64 -3)) 1)) (fma.f64 (*.f64 a a) (fma.f64 -3/2 (/.f64 rand (sqrt.f64 -3)) (*.f64 1/18 (*.f64 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3)) rand))) (+.f64 -1/3 (*.f64 (*.f64 rand (sqrt.f64 -3)) -1/9))))) |
(fma.f64 a (fma.f64 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 rand (sqrt.f64 -3)) -1/9 -1/3)))) |
(fma.f64 (pow.f64 a 3) (*.f64 rand (+.f64 (/.f64 45/16 (sqrt.f64 -3)) (/.f64 -27/8 (sqrt.f64 -3)))) (fma.f64 a (*.f64 a (*.f64 rand (+.f64 (/.f64 -3/2 (sqrt.f64 -3)) (/.f64 9/8 (sqrt.f64 -3))))) (+.f64 (*.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 -3)) 1) (+.f64 a -1/3)) (*.f64 a (*.f64 (/.f64 1/2 (sqrt.f64 -3)) rand))))) |
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 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand) |
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3) |
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3) |
(+.f64 -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 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand) |
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3) |
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3) |
(+.f64 -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 |
|---|---|---|
| ▶ | 49.8b | (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
| 40.9b | (/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) (+.f64 (pow.f64 a 3) -1/27)) (fma.f64 a a (fma.f64 a 1/3 1/9))) | |
| 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) | |
| ▶ | 0.4b | (*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a))))) |
| ▶ | 0.1b | (*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))))) |
| ▶ | 28.4b | (/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) (fma.f64 a a -1/9)) (+.f64 a 1/3)) |
| 43.9b | (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) | |
| ▶ | 19.2b | (-.f64 a 1/3) |
| 20.4b | a |
Compiled 283 to 224 computations (20.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))))) |
| ✓ | 0.1b | (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))) |
| ✓ | 0.2b | (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
| ✓ | 0.3b | (/.f64 1 (-.f64 (*.f64 9 a) 3)) |
Compiled 72 to 58 computations (19.4% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | a | @ | -inf | (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
| 1.0ms | a | @ | inf | (/.f64 1 (-.f64 (*.f64 9 a) 3)) |
| 1.0ms | rand | @ | 0 | (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
| 1.0ms | a | @ | -inf | (*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))))) |
| 1.0ms | a | @ | -inf | (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))) |
| 1× | batch-egg-rewrite |
| 707× | log-prod_binary64 |
| 563× | prod-diff_binary64 |
| 486× | fma-def_binary64 |
| 278× | expm1-udef_binary64 |
| 278× | log1p-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 53 |
| 1 | 338 | 44 |
| 2 | 4365 | 44 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (-.f64 (*.f64 9 a) 3)) |
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
(sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))) |
(*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (fma.f64 9 a -3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 9 a -3)))) (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 9 a -3)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 9 a -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 9 a -3))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 9 a -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 9 a -3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (fma.f64 9 a -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 9 a -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (pow.f64 (fma.f64 9 a -3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (fma.f64 9 a -3))) (cbrt.f64 (pow.f64 (fma.f64 9 a -3) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (fma.f64 9 a -3))) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 9 a -3) -1/2)) (pow.f64 (fma.f64 9 a -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 9 a -3) -2)) (/.f64 1 (cbrt.f64 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (fma.f64 9 a -3) -1/2)) (*.f64 (sqrt.f64 (pow.f64 (fma.f64 9 a -3) -1/2)) (pow.f64 (fma.f64 9 a -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (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 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 9 a -3)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 9 a -3)) -1))))) (#(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 9 a 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (/.f64 1 (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 pow.f64 (fma.f64 9 a -3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 9 a -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 9 a -3) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 9 a -3) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (fma.f64 9 a -3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 9 a -3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 9 a -3) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 9 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 9 a -3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 9 a -3)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (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 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 rand (sqrt.f64 (fma.f64 9 a -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 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 2))))) (#(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 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1)) (cbrt.f64 (pow.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) 2)) (cbrt.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1)) (sqrt.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 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 rand (pow.f64 (fma.f64 9 a -3) -1/2) -1) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 2)) (/.f64 1 (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))) -1))))) |
((#(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 (pow.f64 (fma.f64 9 a -3) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (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 (cbrt.f64 (pow.f64 (fma.f64 9 a -3) -1/2)) (/.f64 1 (cbrt.f64 (fma.f64 9 a -3))))))) (#(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 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 9 a -3) -2))) (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 9 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (pow.f64 (fma.f64 9 a -3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 9 a -3) -2)) 1/2) (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 9 a -3))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (fma.f64 9 a -3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 (fma.f64 9 a -3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (sqrt.f64 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (fma.f64 9 a -3))))))) (#(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 (/.f64 1 (fma.f64 9 a -3)) 1/2)))) (#(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 (/.f64 1 (fma.f64 9 a -3)) 3/2) 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 pow.f64 (sqrt.f64 (fma.f64 9 a -3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (fma.f64 9 a -3) -1/2))))) (#(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 (/.f64 1 (fma.f64 9 a -3)) 3/2))))) (#(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 (neg.f64 (log.f64 (fma.f64 9 a -3))) 1/2))))) (#(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 a (+.f64 -1/3 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 a -1/3) (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 a -1/3) (*.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 a -1/3) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1)) (*.f64 -1/3 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) a) (*.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1))) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 a (-.f64 1/3 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3))) (*.f64 (fma.f64 a a (fma.f64 a 1/3 1/9)) (fma.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) -1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 a a -1/9) (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3))) (*.f64 (+.f64 a 1/3) (fma.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) -1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) (-.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 2))) (*.f64 (fma.f64 a a (fma.f64 a 1/3 1/9)) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 a a -1/9) (-.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 2))) (*.f64 (+.f64 a 1/3) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3)) (+.f64 (pow.f64 a 3) -1/27)) (*.f64 (fma.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) -1) 1) (fma.f64 a a (fma.f64 a 1/3 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 2)) (+.f64 (pow.f64 a 3) -1/27)) (*.f64 (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (fma.f64 a a (fma.f64 a 1/3 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3)) (fma.f64 a a -1/9)) (*.f64 (fma.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) -1) 1) (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 2)) (fma.f64 a a -1/9)) (*.f64 (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)) 3)) (+.f64 (pow.f64 (+.f64 a -1/3) 2) (-.f64 (*.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)) (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3))) (*.f64 (+.f64 a -1/3) (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 a -1/3) 2) (*.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)) (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)))) (-.f64 (+.f64 a -1/3) (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1)) (fma.f64 a a (fma.f64 a 1/3 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 a a -1/9) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1)) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3)) (+.f64 a -1/3)) (fma.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 2)) (+.f64 a -1/3)) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 a -1/3) (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3))) (fma.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 a -1/3) (-.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 2))) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) (+.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 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) (fma.f64 a a -1/9)) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 a -1/3))) (exp.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3))) (exp.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3))) (+.f64 1 (expm1.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) 3) (pow.f64 (+.f64 a -1/3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (log.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log1p.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (log.f64 (+.f64 a -1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 a (+.f64 -1/3 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 a (neg.f64 (-.f64 1/3 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 a -1/3) (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 a -1/3) (*.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a 1 (+.f64 -1/3 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a 1 (neg.f64 (-.f64 1/3 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) (*.f64 -1/3 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 rand (*.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (+.f64 a -1/3)) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (*.f64 rand (+.f64 a -1/3)) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 a -1/3) 1 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 a -1/3) 1 (*.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) a (*.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 2)) (*.f64 (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (+.f64 a -1/3)) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 a -1/3)) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 a -1/3)) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (*.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a -1/3)) (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a -1/3)) (*.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (*.f64 (cbrt.f64 (+.f64 a -1/3)) 1) (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (*.f64 (cbrt.f64 (+.f64 a -1/3)) 1) (*.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (*.f64 (cbrt.f64 (+.f64 a -1/3)) (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 a) (pow.f64 (cbrt.f64 a) 2) (+.f64 -1/3 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 a) (pow.f64 (cbrt.f64 a) 2) (neg.f64 (-.f64 1/3 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (+.f64 -1/3 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (neg.f64 (-.f64 1/3 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (*.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (+.f64 a -1/3)) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)) (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)) (*.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) 1) (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) 1) (*.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (sqrt.f64 a) (+.f64 -1/3 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (sqrt.f64 a) (neg.f64 (-.f64 1/3 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 1 (fma.f64 a a (fma.f64 a 1/3 1/9))) (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 1 (fma.f64 a a (fma.f64 a 1/3 1/9))) (*.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 a a -1/9) (/.f64 1 (+.f64 a 1/3)) (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 a a -1/9) (/.f64 1 (+.f64 a 1/3)) (*.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3))) (cbrt.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)))) (cbrt.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3))) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3))) (sqrt.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.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 9 a -3))))) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (sqrt.f64 (+.f64 a -1/3))) (*.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -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) rand) (pow.f64 (fma.f64 9 a -3) -1/2) (+.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 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 2))) (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))))) (#(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)))))) |
| 1× | egg-herbie |
| 574× | distribute-lft-in_binary64 |
| 572× | distribute-rgt-in_binary64 |
| 504× | fma-def_binary64 |
| 409× | associate-/r/_binary64 |
| 367× | associate-*l*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 116 | 997 |
| 1 | 346 | 937 |
| 2 | 1141 | 909 |
| 3 | 4902 | 744 |
| 1× | node limit |
| Inputs |
|---|
-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))))) |
(*.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 -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 (+.f64 1 (*.f64 rand (sqrt.f64 -1/3)))) |
(+.f64 (*.f64 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (+.f64 1 (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))) a) (*.f64 -1/3 (+.f64 1 (*.f64 rand (sqrt.f64 -1/3))))) |
(+.f64 (*.f64 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (+.f64 1 (*.f64 1/6 (/.f64 rand (sqrt.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 -1/3 (+.f64 1 (*.f64 rand (sqrt.f64 -1/3)))))) |
(+.f64 (*.f64 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (+.f64 1 (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))) a) (+.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 -1/3 (+.f64 1 (*.f64 rand (sqrt.f64 -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 |
|---|
-1/3 |
(-.f64 (*.f64 -1 a) 1/3) |
(fma.f64 -1 a -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 -3 (*.f64 a a) (fma.f64 -1 a -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 -3 (*.f64 a a) (fma.f64 -9 (pow.f64 a 3) (neg.f64 a)))) |
(fma.f64 a (*.f64 a -3) (fma.f64 -9 (pow.f64 a 3) (-.f64 -1/3 a))) |
(fma.f64 a (*.f64 a (+.f64 -3 (*.f64 a -9))) (-.f64 -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 1/27 (*.f64 a a)) (+.f64 (/.f64 1/9 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 1/81 (pow.f64 a 3)) (+.f64 (/.f64 1/27 (*.f64 a a)) (+.f64 (/.f64 1/9 a) (/.f64 1/243 (pow.f64 a 4))))) |
(+.f64 (/.f64 1/27 (*.f64 a a)) (+.f64 (/.f64 1/9 a) (+.f64 (/.f64 1/81 (pow.f64 a 3)) (/.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 1/27 (*.f64 a a)) (+.f64 (/.f64 1/9 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 1/81 (pow.f64 a 3)) (+.f64 (/.f64 1/27 (*.f64 a a)) (+.f64 (/.f64 1/9 a) (/.f64 1/243 (pow.f64 a 4))))) |
(+.f64 (/.f64 1/27 (*.f64 a a)) (+.f64 (/.f64 1/9 a) (+.f64 (/.f64 1/81 (pow.f64 a 3)) (/.f64 1/243 (pow.f64 a 4))))) |
(*.f64 rand (sqrt.f64 -1/3)) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (*.f64 rand (sqrt.f64 -1/3))) |
(fma.f64 -1/2 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (*.f64 rand (sqrt.f64 -1/3))) |
(fma.f64 rand (sqrt.f64 -1/3) (/.f64 (*.f64 -1/2 (*.f64 a rand)) (sqrt.f64 -1/3))) |
(fma.f64 rand (sqrt.f64 -1/3) (*.f64 a (/.f64 (*.f64 rand -1/2) (sqrt.f64 -1/3)))) |
(*.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 -1/2 (/.f64 (*.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -1/3))) (*.f64 rand (sqrt.f64 -1/3)))) |
(fma.f64 -1/2 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (fma.f64 -1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) (*.f64 (*.f64 a a) rand))) (*.f64 rand (sqrt.f64 -1/3)))) |
(fma.f64 -1/2 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (fma.f64 rand (sqrt.f64 -1/3) (/.f64 (*.f64 -1/2 (*.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (*.f64 a (*.f64 a rand)))) (sqrt.f64 -1/3)))) |
(fma.f64 rand (sqrt.f64 -1/3) (*.f64 -1/2 (fma.f64 (/.f64 a (sqrt.f64 -1/3)) rand (*.f64 a (*.f64 a (*.f64 rand (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)))))))) |
(fma.f64 rand (sqrt.f64 -1/3) (*.f64 rand (*.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) (+.f64 a (*.f64 a (*.f64 a 9/4)))))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -1/3))) (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 3) (*.f64 rand (+.f64 9 (*.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 (sqrt.f64 -1/3) 2)))))) (sqrt.f64 -1/3)))))) |
(fma.f64 -1/2 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (fma.f64 -1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) (*.f64 (*.f64 a a) rand))) (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 a (/.f64 (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 a (*.f64 a rand))) (fma.f64 rand (sqrt.f64 -1/3) (/.f64 -1/2 (/.f64 (sqrt.f64 -1/3) (*.f64 (fma.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) -1/3) 9) (*.f64 (pow.f64 a 3) rand))))))) |
(fma.f64 -1/2 (fma.f64 (/.f64 a (sqrt.f64 -1/3)) rand (*.f64 a (*.f64 a (*.f64 rand (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)))))) (fma.f64 rand (sqrt.f64 -1/3) (/.f64 (pow.f64 a 3) (/.f64 (/.f64 (/.f64 (sqrt.f64 -1/3) rand) (+.f64 9 (*.f64 -3/2 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2))))) -1/2)))) |
(+.f64 (*.f64 rand (+.f64 (sqrt.f64 -1/3) (*.f64 (/.f64 (pow.f64 a 3) (sqrt.f64 -1/3)) -45/16))) (*.f64 rand (*.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) (+.f64 a (*.f64 a (*.f64 a 9/4)))))) |
(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 (+.f64 1 (*.f64 rand (sqrt.f64 -1/3)))) |
(+.f64 -1/3 (*.f64 (*.f64 rand (sqrt.f64 -1/3)) -1/3)) |
(*.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1)) |
(+.f64 (*.f64 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (+.f64 1 (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))) a) (*.f64 -1/3 (+.f64 1 (*.f64 rand (sqrt.f64 -1/3))))) |
(fma.f64 (fma.f64 rand (sqrt.f64 -1/3) (+.f64 1 (/.f64 (*.f64 1/6 rand) (sqrt.f64 -1/3)))) a (+.f64 -1/3 (*.f64 (*.f64 rand (sqrt.f64 -1/3)) -1/3))) |
(fma.f64 a (fma.f64 rand (sqrt.f64 -1/3) (fma.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)) 1)) (*.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1))) |
(fma.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1) (*.f64 a (fma.f64 rand (sqrt.f64 -1/3) (fma.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)) 1)))) |
(+.f64 (*.f64 (fma.f64 rand (sqrt.f64 -1/3) 1) (+.f64 -1/3 a)) (*.f64 (*.f64 a 1/6) (/.f64 rand (sqrt.f64 -1/3)))) |
(+.f64 (*.f64 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (+.f64 1 (*.f64 1/6 (/.f64 rand (sqrt.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 -1/3 (+.f64 1 (*.f64 rand (sqrt.f64 -1/3)))))) |
(fma.f64 (fma.f64 rand (sqrt.f64 -1/3) (+.f64 1 (/.f64 (*.f64 1/6 rand) (sqrt.f64 -1/3)))) a (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 (*.f64 (*.f64 rand (sqrt.f64 -1/3)) -1/3)))) |
(fma.f64 a (fma.f64 rand (sqrt.f64 -1/3) (fma.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)) 1)) (fma.f64 (*.f64 a a) (fma.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3)) (*.f64 1/6 (*.f64 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)) rand))) (*.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1)))) |
(fma.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1) (*.f64 a (+.f64 (fma.f64 rand (sqrt.f64 -1/3) (fma.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)) 1)) (*.f64 a (fma.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3)) (*.f64 1/6 (*.f64 rand (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3))))))))) |
(fma.f64 a (*.f64 a (*.f64 rand (+.f64 (/.f64 3/8 (sqrt.f64 -1/3)) (/.f64 -1/2 (sqrt.f64 -1/3))))) (+.f64 (*.f64 (fma.f64 rand (sqrt.f64 -1/3) 1) (+.f64 -1/3 a)) (*.f64 (*.f64 a 1/6) (/.f64 rand (sqrt.f64 -1/3))))) |
(+.f64 (*.f64 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (+.f64 1 (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))) a) (+.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 -1/3 (+.f64 1 (*.f64 rand (sqrt.f64 -1/3))))))) |
(fma.f64 (fma.f64 rand (sqrt.f64 -1/3) (+.f64 1 (/.f64 (*.f64 1/6 rand) (sqrt.f64 -1/3)))) a (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 -1/2 (/.f64 rand (sqrt.f64 -1/3)))) (+.f64 -1/3 (*.f64 (*.f64 rand (sqrt.f64 -1/3)) -1/3))))) |
(fma.f64 a (fma.f64 rand (sqrt.f64 -1/3) (fma.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)) 1)) (fma.f64 (pow.f64 a 3) (fma.f64 -1/2 (*.f64 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)) rand) (/.f64 1/6 (/.f64 (/.f64 (sqrt.f64 -1/3) rand) (fma.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) -1/3) 9)))) (fma.f64 (*.f64 a a) (fma.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3)) (*.f64 1/6 (*.f64 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)) rand))) (*.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1))))) |
(fma.f64 (pow.f64 a 3) (fma.f64 -1/2 (*.f64 rand (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3))) (*.f64 (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))) (+.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 rand (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)))))))))) |
(fma.f64 (pow.f64 a 3) (+.f64 (*.f64 (/.f64 rand (sqrt.f64 -1/3)) 15/16) (*.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 (fma.f64 rand (sqrt.f64 -1/3) 1) (+.f64 -1/3 a)) (*.f64 (*.f64 a 1/6) (/.f64 rand (sqrt.f64 -1/3)))))) |
a |
a |
(-.f64 a 1/3) |
(+.f64 a -1/3) |
(+.f64 -1/3 a) |
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3) |
(+.f64 a (-.f64 (*.f64 (+.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 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 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)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 a 1/3) |
Compiled 7 to 5 computations (28.6% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | a | @ | -inf | (-.f64 a 1/3) |
| 0.0ms | a | @ | 0 | (-.f64 a 1/3) |
| 0.0ms | a | @ | inf | (-.f64 a 1/3) |
| 1× | batch-egg-rewrite |
| 479× | pow1_binary64 |
| 475× | add-sqr-sqrt_binary64 |
| 452× | add-log-exp_binary64 |
| 452× | log1p-expm1-u_binary64 |
| 452× | expm1-log1p-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 4 |
| 1 | 93 | 4 |
| 2 | 1165 | 4 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 a 1/3) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 a -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/3 a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 a -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 a -1/3)) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 1 (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 a a -1/9) (/.f64 1 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))) (+.f64 (pow.f64 a 3) -1/27)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 a 3) -1/27) (+.f64 (*.f64 a a) (-.f64 1/9 (*.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 a a -1/9) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 a a -1/9) (-.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 a 3) -1/27)) (neg.f64 (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 a a -1/9)) (neg.f64 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 a -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 a -1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 a -1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 a -1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 a -1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 a -1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 a -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (sqrt.f64 a) -1/3))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 2 | 3 |
| 1× | saturated |
| Inputs |
|---|
-1/3 |
a |
a |
| Outputs |
|---|
-1/3 |
a |
a |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (-.f64 a 1/3) | |
| ✓ | 0.1b | (*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a))))) |
| ✓ | 0.1b | (sqrt.f64 (*.f64 9 a)) |
| ✓ | 0.2b | (/.f64 rand (sqrt.f64 (*.f64 9 a))) |
Compiled 43 to 31 computations (27.9% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | a | @ | inf | (/.f64 rand (sqrt.f64 (*.f64 9 a))) |
| 1.0ms | rand | @ | 0 | (/.f64 rand (sqrt.f64 (*.f64 9 a))) |
| 1.0ms | a | @ | 0 | (/.f64 rand (sqrt.f64 (*.f64 9 a))) |
| 1.0ms | a | @ | 0 | (*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a))))) |
| 1.0ms | rand | @ | inf | (/.f64 rand (sqrt.f64 (*.f64 9 a))) |
| 1× | batch-egg-rewrite |
| 600× | log-prod_binary64 |
| 537× | prod-diff_binary64 |
| 350× | fma-def_binary64 |
| 226× | pow1/3_binary64 |
| 223× | expm1-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 33 |
| 1 | 267 | 31 |
| 2 | 3611 | 31 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 rand (sqrt.f64 (*.f64 9 a))) |
(sqrt.f64 (*.f64 9 a)) |
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a))))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 rand) (/.f64 1/3 (sqrt.f64 a)))) (cbrt.f64 (pow.f64 (exp.f64 rand) (/.f64 1/3 (sqrt.f64 a)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 rand) (/.f64 1/3 (sqrt.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 rand) (/.f64 1/3 (sqrt.f64 a))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 rand) (/.f64 1/3 (sqrt.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 rand (/.f64 1/3 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 rand (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 rand rand)) (*.f64 (cbrt.f64 rand) (/.f64 1/3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (cbrt.f64 (/.f64 (*.f64 rand rand) (*.f64 9 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 rand rand) (*.f64 9 a))) (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 rand) (*.f64 (sqrt.f64 rand) (/.f64 1/3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 rand) (/.f64 1 (*.f64 -3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (sqrt.f64 a)) rand)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 rand rand)) 1) (/.f64 (cbrt.f64 rand) (*.f64 3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 rand) 1) (/.f64 (sqrt.f64 rand) (*.f64 3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 9 a))) (/.f64 rand (cbrt.f64 (*.f64 3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 rand rand)) (cbrt.f64 (*.f64 9 a))) (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 rand) (cbrt.f64 (*.f64 9 a))) (/.f64 (sqrt.f64 rand) (cbrt.f64 (*.f64 3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (*.f64 9 a) 1/4)) (/.f64 rand (pow.f64 (*.f64 9 a) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 rand rand)) (pow.f64 (*.f64 9 a) 1/4)) (/.f64 (cbrt.f64 rand) (pow.f64 (*.f64 9 a) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 rand rand)) 3) (/.f64 (cbrt.f64 rand) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 rand) 3) (/.f64 (sqrt.f64 rand) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (/.f64 (sqrt.f64 a) rand)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 3 (/.f64 (sqrt.f64 a) rand)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 rand (*.f64 -3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 rand rand) (*.f64 9 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 rand) (/.f64 1/3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)) (cbrt.f64 (pow.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) 2)) (cbrt.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)) (sqrt.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 3)) (/.f64 1 (fma.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) -1) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (*.f64 9 a))) (/.f64 1 (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) -1))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 3 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 3) (sqrt.f64 a))) (cbrt.f64 (pow.f64 (exp.f64 3) (sqrt.f64 a))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 3) (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3) (sqrt.f64 a)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3) (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 3 (sqrt.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3 (sqrt.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 3 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 9 a)) (cbrt.f64 (*.f64 3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 a))) (cbrt.f64 (*.f64 9 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 9 a) 1/4) (pow.f64 (*.f64 9 a) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 a) 3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 a) (pow.f64 9 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 81 (*.f64 a a)))) (sqrt.f64 (cbrt.f64 (*.f64 9 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 9 1/2) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (*.f64 3 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 81 (*.f64 a a))) 1/2) (pow.f64 (cbrt.f64 (*.f64 9 a)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 9 a) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (sqrt.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 9 a) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 9 a) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 3 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 9 a) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 9 a)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 3 (sqrt.f64 a))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 a (+.f64 -1/3 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 a -1/3) (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 a -1/3) (*.f64 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)) (*.f64 -1/3 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) a) (*.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)) (+.f64 a -1/3))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)) (+.f64 a -1/3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)) (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)) (+.f64 a -1/3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)) (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 a (-.f64 1/3 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) (+.f64 1 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 3))) (*.f64 (fma.f64 a a (fma.f64 a 1/3 1/9)) (fma.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) -1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 a a -1/9) (+.f64 1 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 3))) (*.f64 (+.f64 a 1/3) (fma.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) -1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) (-.f64 1 (/.f64 (*.f64 rand rand) (*.f64 9 a)))) (*.f64 (fma.f64 a a (fma.f64 a 1/3 1/9)) (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 a a -1/9) (-.f64 1 (/.f64 (*.f64 rand rand) (*.f64 9 a)))) (*.f64 (+.f64 a 1/3) (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 3)) (+.f64 (pow.f64 a 3) -1/27)) (*.f64 (fma.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) -1) 1) (fma.f64 a a (fma.f64 a 1/3 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (*.f64 9 a))) (+.f64 (pow.f64 a 3) -1/27)) (*.f64 (-.f64 1 (*.f64 rand (/.f64 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 (+.f64 1 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 3)) (fma.f64 a a -1/9)) (*.f64 (fma.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) -1) 1) (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (*.f64 9 a))) (fma.f64 a a -1/9)) (*.f64 (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))) 3)) (+.f64 (pow.f64 (+.f64 a -1/3) 2) (-.f64 (*.f64 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))) (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))) (*.f64 (+.f64 a -1/3) (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 a -1/3) 2) (*.f64 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))) (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))) (-.f64 (+.f64 a -1/3) (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)) (fma.f64 a a (fma.f64 a 1/3 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 a a -1/9) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 3)) (+.f64 a -1/3)) (fma.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (*.f64 9 a))) (+.f64 a -1/3)) (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 a -1/3) (+.f64 1 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 3))) (fma.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 a -1/3) (-.f64 1 (/.f64 (*.f64 rand rand) (*.f64 9 a)))) (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) (+.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 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) (fma.f64 a a -1/9)) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) 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) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)) (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 a -1/3))) (exp.f64 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))) (exp.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))) (+.f64 1 (expm1.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) 3) (pow.f64 (+.f64 a -1/3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a 1 (+.f64 -1/3 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a 1 (neg.f64 (-.f64 1/3 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) (*.f64 -1/3 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (+.f64 a -1/3) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 a -1/3) (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 a -1/3) 1 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 a -1/3) 1 (*.f64 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 a (+.f64 -1/3 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 a (neg.f64 (-.f64 1/3 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 a -1/3) (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 a -1/3) (*.f64 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) a (*.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 a -1/3)) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 a -1/3)) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (*.f64 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a -1/3)) (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a -1/3)) (*.f64 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (*.f64 (cbrt.f64 (+.f64 a -1/3)) 1) (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (*.f64 (cbrt.f64 (+.f64 a -1/3)) 1) (*.f64 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (*.f64 (cbrt.f64 (+.f64 a -1/3)) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 (*.f64 rand rand) (*.f64 9 a))) (*.f64 (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (+.f64 a -1/3)) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 a) (pow.f64 (cbrt.f64 a) 2) (+.f64 -1/3 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 a) (pow.f64 (cbrt.f64 a) 2) (neg.f64 (-.f64 1/3 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (+.f64 -1/3 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (neg.f64 (-.f64 1/3 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)) (*.f64 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) 1) (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) 1) (*.f64 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (*.f64 (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (+.f64 a -1/3)) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (sqrt.f64 a) (+.f64 -1/3 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (sqrt.f64 a) (neg.f64 (-.f64 1/3 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 1 (fma.f64 a a (fma.f64 a 1/3 1/9))) (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 1 (fma.f64 a a (fma.f64 a 1/3 1/9))) (*.f64 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 a a -1/9) (/.f64 1 (+.f64 a 1/3)) (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 a a -1/9) (/.f64 1 (+.f64 a 1/3)) (*.f64 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))) (cbrt.f64 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))) (cbrt.f64 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))) (sqrt.f64 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (sqrt.f64 (+.f64 a -1/3))) (*.f64 (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (sqrt.f64 (+.f64 a -1/3))) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 a -1/3) (cbrt.f64 (/.f64 (*.f64 rand rand) (*.f64 9 a)))) (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 a -1/3) (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (cbrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3)))))) |
| 1× | egg-herbie |
| 2343× | fma-neg_binary64 |
| 514× | fma-def_binary64 |
| 279× | distribute-rgt-in_binary64 |
| 263× | distribute-rgt-neg-in_binary64 |
| 230× | unsub-neg_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 402 |
| 1 | 35 | 384 |
| 2 | 76 | 384 |
| 3 | 211 | 362 |
| 4 | 559 | 353 |
| 5 | 866 | 353 |
| 6 | 1453 | 353 |
| 7 | 2785 | 353 |
| 8 | 4744 | 353 |
| 9 | 5181 | 353 |
| 10 | 5286 | 353 |
| 11 | 5298 | 353 |
| 12 | 5298 | 353 |
| 13 | 5302 | 353 |
| 14 | 6939 | 353 |
| 15 | 6939 | 353 |
| 16 | 6939 | 353 |
| 17 | 6939 | 353 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
a |
a |
(-.f64 a 1/3) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3) |
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a)))) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3) |
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a)))) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3) |
| Outputs |
|---|
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
a |
a |
(-.f64 a 1/3) |
(+.f64 a -1/3) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3) |
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3)) |
(+.f64 (fma.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 a)) a) -1/3) |
(+.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) a) -1/3) |
(fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (fma.f64 1/3 a -1/9)) (+.f64 a -1/3)) |
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1)) |
(*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 1/3 rand) 1)) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3) |
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3)) |
(+.f64 (fma.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 a)) a) -1/3) |
(+.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) a) -1/3) |
(fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (fma.f64 1/3 a -1/9)) (+.f64 a -1/3)) |
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1)) |
(*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 1/3 rand) 1)) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3) |
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3)) |
(+.f64 (fma.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 a)) a) -1/3) |
(+.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) a) -1/3) |
(fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (fma.f64 1/3 a -1/9)) (+.f64 a -1/3)) |
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1)) |
(*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 1/3 rand) 1)) |
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a)))) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) |
(*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (fma.f64 1/3 a -1/9))) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3) |
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3)) |
(+.f64 (fma.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 a)) a) -1/3) |
(+.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) a) -1/3) |
(fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (fma.f64 1/3 a -1/9)) (+.f64 a -1/3)) |
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1)) |
(*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 1/3 rand) 1)) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3) |
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3)) |
(+.f64 (fma.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 a)) a) -1/3) |
(+.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) a) -1/3) |
(fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (fma.f64 1/3 a -1/9)) (+.f64 a -1/3)) |
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1)) |
(*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 1/3 rand) 1)) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3) |
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3)) |
(+.f64 (fma.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 a)) a) -1/3) |
(+.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) a) -1/3) |
(fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (fma.f64 1/3 a -1/9)) (+.f64 a -1/3)) |
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1)) |
(*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 1/3 rand) 1)) |
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a)))) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) |
(*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (fma.f64 1/3 a -1/9))) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3) |
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3)) |
(+.f64 (fma.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 a)) a) -1/3) |
(+.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) a) -1/3) |
(fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (fma.f64 1/3 a -1/9)) (+.f64 a -1/3)) |
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1)) |
(*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 1/3 rand) 1)) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3) |
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3)) |
(+.f64 (fma.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 a)) a) -1/3) |
(+.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) a) -1/3) |
(fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (fma.f64 1/3 a -1/9)) (+.f64 a -1/3)) |
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1)) |
(*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 1/3 rand) 1)) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3) |
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3)) |
(+.f64 (fma.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 a)) a) -1/3) |
(+.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) a) -1/3) |
(fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (fma.f64 1/3 a -1/9)) (+.f64 a -1/3)) |
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1)) |
(*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 1/3 rand) 1)) |
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)) | |
| ✓ | 8.3b | (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
Compiled 53 to 41 computations (22.6% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | a | @ | -inf | (*.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 | rand | @ | 0 | (*.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)))) |
| 1.0ms | rand | @ | inf | (*.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 | 26 |
| 1 | 306 | 23 |
| 2 | 3706 | 23 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 (-.f64 a 1/3) rand) (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 (+.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 |
| 644× | distribute-rgt-out_binary64 |
| 500× | associate-+l+_binary64 |
| 493× | associate-*l/_binary64 |
| 435× | associate-*r/_binary64 |
| 426× | associate-/l*_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 307 |
| 1 | 140 | 300 |
| 2 | 498 | 296 |
| 3 | 2151 | 231 |
| 4 | 7716 | 222 |
| 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)))))) |
(*.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 rand (*.f64 (sqrt.f64 -1/3) -1/3)) |
(*.f64 rand (*.f64 -1/3 (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 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 rand 1/6) (sqrt.f64 -1/3))) (*.f64 rand (*.f64 (sqrt.f64 -1/3) -1/3))) |
(+.f64 (*.f64 1/6 (*.f64 a (/.f64 rand (sqrt.f64 -1/3)))) (*.f64 (sqrt.f64 -1/3) (*.f64 rand (+.f64 -1/3 a)))) |
(+.f64 (*.f64 (/.f64 rand (sqrt.f64 -1/3)) (*.f64 a 1/6)) (*.f64 rand (*.f64 (sqrt.f64 -1/3) (+.f64 -1/3 a)))) |
(*.f64 rand (+.f64 (/.f64 (*.f64 a 1/6) (sqrt.f64 -1/3)) (*.f64 (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 rand (sqrt.f64 -1/3)) -1/2)) (fma.f64 a (fma.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 rand -1/2) (sqrt.f64 -1/3))) (fma.f64 a (fma.f64 rand (sqrt.f64 -1/3) (/.f64 (*.f64 rand 1/6) (sqrt.f64 -1/3))) (*.f64 rand (*.f64 (sqrt.f64 -1/3) -1/3)))) |
(fma.f64 (*.f64 a a) (fma.f64 (/.f64 rand (sqrt.f64 -1/3)) -1/2 (*.f64 (/.f64 (+.f64 1/2 (*.f64 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2) 1/6)) (sqrt.f64 -1/3)) rand)) (+.f64 (*.f64 1/6 (*.f64 a (/.f64 rand (sqrt.f64 -1/3)))) (*.f64 (sqrt.f64 -1/3) (*.f64 rand (+.f64 -1/3 a))))) |
(+.f64 (*.f64 rand (*.f64 (sqrt.f64 -1/3) (+.f64 -1/3 a))) (*.f64 a (+.f64 (*.f64 a (*.f64 rand (+.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) (/.f64 3/8 (sqrt.f64 -1/3))))) (*.f64 rand (/.f64 1/6 (sqrt.f64 -1/3)))))) |
(fma.f64 a (*.f64 a (*.f64 rand (+.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) (/.f64 3/8 (sqrt.f64 -1/3))))) (*.f64 rand (+.f64 (/.f64 (*.f64 a 1/6) (sqrt.f64 -1/3)) (*.f64 (sqrt.f64 -1/3) (+.f64 -1/3 a))))) |
(+.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 (*.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 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 rand (sqrt.f64 -1/3)) -1/2)) (fma.f64 a (fma.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 (/.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 -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 rand -1/2) (sqrt.f64 -1/3))) (fma.f64 a (fma.f64 rand (sqrt.f64 -1/3) (/.f64 (*.f64 rand 1/6) (sqrt.f64 -1/3))) (*.f64 rand (*.f64 (sqrt.f64 -1/3) -1/3))))) |
(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 (sqrt.f64 -1/3)) (+.f64 3/2 (*.f64 (*.f64 -3/2 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2))) 1/6)))) (fma.f64 (*.f64 a a) (fma.f64 (/.f64 rand (sqrt.f64 -1/3)) -1/2 (*.f64 (/.f64 (+.f64 1/2 (*.f64 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2) 1/6)) (sqrt.f64 -1/3)) rand)) (+.f64 (*.f64 1/6 (*.f64 a (/.f64 rand (sqrt.f64 -1/3)))) (*.f64 (sqrt.f64 -1/3) (*.f64 rand (+.f64 -1/3 a)))))) |
(+.f64 (*.f64 rand (*.f64 (sqrt.f64 -1/3) (+.f64 -1/3 a))) (*.f64 a (+.f64 (*.f64 rand (/.f64 1/6 (sqrt.f64 -1/3))) (*.f64 a (+.f64 (*.f64 rand (+.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) (/.f64 3/8 (sqrt.f64 -1/3)))) (*.f64 a (+.f64 (*.f64 (/.f64 rand (sqrt.f64 -1/3)) 15/16) (*.f64 rand (/.f64 -9/8 (sqrt.f64 -1/3)))))))))) |
(fma.f64 (pow.f64 a 3) (*.f64 rand (+.f64 (/.f64 15/16 (sqrt.f64 -1/3)) (/.f64 -9/8 (sqrt.f64 -1/3)))) (fma.f64 a (*.f64 a (*.f64 rand (+.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) (/.f64 3/8 (sqrt.f64 -1/3))))) (*.f64 rand (+.f64 (/.f64 (*.f64 a 1/6) (sqrt.f64 -1/3)) (*.f64 (sqrt.f64 -1/3) (+.f64 -1/3 a)))))) |
(*.f64 -1/3 rand) |
(+.f64 (*.f64 a rand) (*.f64 -1/3 rand)) |
(*.f64 rand (+.f64 a -1/3)) |
(*.f64 rand (+.f64 -1/3 a)) |
(+.f64 (*.f64 a rand) (*.f64 -1/3 rand)) |
(*.f64 rand (+.f64 a -1/3)) |
(*.f64 rand (+.f64 -1/3 a)) |
(+.f64 (*.f64 a rand) (*.f64 -1/3 rand)) |
(*.f64 rand (+.f64 a -1/3)) |
(*.f64 rand (+.f64 -1/3 a)) |
(*.f64 a rand) |
(*.f64 rand a) |
(+.f64 (*.f64 a rand) (*.f64 -1/3 rand)) |
(*.f64 rand (+.f64 a -1/3)) |
(*.f64 rand (+.f64 -1/3 a)) |
(+.f64 (*.f64 a rand) (*.f64 -1/3 rand)) |
(*.f64 rand (+.f64 a -1/3)) |
(*.f64 rand (+.f64 -1/3 a)) |
(+.f64 (*.f64 a rand) (*.f64 -1/3 rand)) |
(*.f64 rand (+.f64 a -1/3)) |
(*.f64 rand (+.f64 -1/3 a)) |
(*.f64 a rand) |
(*.f64 rand a) |
(+.f64 (*.f64 a rand) (*.f64 -1/3 rand)) |
(*.f64 rand (+.f64 a -1/3)) |
(*.f64 rand (+.f64 -1/3 a)) |
(+.f64 (*.f64 a rand) (*.f64 -1/3 rand)) |
(*.f64 rand (+.f64 a -1/3)) |
(*.f64 rand (+.f64 -1/3 a)) |
(+.f64 (*.f64 a rand) (*.f64 -1/3 rand)) |
(*.f64 rand (+.f64 a -1/3)) |
(*.f64 rand (+.f64 -1/3 a)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) (fma.f64 a a -1/9)) |
| ✓ | 0.1b | (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) |
| ✓ | 0.1b | (pow.f64 (fma.f64 9 a -3) -1/2) |
| ✓ | 26.2b | (/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) (fma.f64 a a -1/9)) (+.f64 a 1/3)) |
Compiled 68 to 50 computations (26.5% saved)
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 13.0ms | rand | @ | 0 | (/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) (fma.f64 a a -1/9)) (+.f64 a 1/3)) |
| 10.0ms | rand | @ | inf | (/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) (fma.f64 a a -1/9)) (+.f64 a 1/3)) |
| 2.0ms | a | @ | inf | (/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) (fma.f64 a a -1/9)) (+.f64 a 1/3)) |
| 2.0ms | a | @ | -inf | (/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) (fma.f64 a a -1/9)) (+.f64 a 1/3)) |
| 2.0ms | rand | @ | -inf | (/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) (fma.f64 a a -1/9)) (+.f64 a 1/3)) |
| 1× | batch-egg-rewrite |
| 692× | log-prod_binary64 |
| 411× | pow2_binary64 |
| 285× | pow1/3_binary64 |
| 283× | log1p-udef_binary64 |
| 282× | expm1-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 64 |
| 1 | 342 | 60 |
| 2 | 4086 | 60 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) (fma.f64 a a -1/9)) (+.f64 a 1/3)) |
(pow.f64 (fma.f64 9 a -3) -1/2) |
(fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) |
(*.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) (fma.f64 a a -1/9)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) 1) (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) 1) (+.f64 a -1/3)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) 1) (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) 1) (+.f64 a -1/3))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) 1) (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) 1) (+.f64 a -1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) 1) (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) (/.f64 1 (/.f64 1 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) (*.f64 (fma.f64 a a -1/9) (/.f64 1 (+.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 a a -1/9) (*.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) (/.f64 1 (+.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) (fma.f64 a a -1/9)) (/.f64 1 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) 1) (+.f64 a -1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) 1) (+.f64 a -1/3))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) 1) (+.f64 a -1/3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) 1) (+.f64 a -1/3))) 2) (cbrt.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) 1) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) (fma.f64 a a -1/9))) 2) (*.f64 (cbrt.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) (fma.f64 a a -1/9))) (/.f64 1 (+.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) 1) (+.f64 a -1/3))) (sqrt.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) 1) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) (fma.f64 a a -1/9))) (*.f64 (sqrt.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) (fma.f64 a a -1/9))) (/.f64 1 (+.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) (neg.f64 (fma.f64 a a -1/9))) (/.f64 1 (+.f64 -1/3 (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 a 1/3)) (*.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) (fma.f64 a a -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) 1) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 a a -1/9) 1) (/.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) (+.f64 a 1/3)) (fma.f64 a a -1/9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) (fma.f64 a a -1/9))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) (fma.f64 a a -1/9))) (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) (fma.f64 a a -1/9))) 1) (/.f64 (sqrt.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) (fma.f64 a a -1/9))) (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 a 1/3) 2))) (/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) (fma.f64 a a -1/9)) (cbrt.f64 (+.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) (cbrt.f64 (pow.f64 (+.f64 a 1/3) 2))) (/.f64 (fma.f64 a a -1/9) (cbrt.f64 (+.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 a a -1/9) (cbrt.f64 (pow.f64 (+.f64 a 1/3) 2))) (/.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) (cbrt.f64 (+.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) (fma.f64 a a -1/9))) 2) (cbrt.f64 (pow.f64 (+.f64 a 1/3) 2))) (cbrt.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) 1) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) (fma.f64 a a -1/9))) (cbrt.f64 (pow.f64 (+.f64 a 1/3) 2))) (/.f64 (sqrt.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) (fma.f64 a a -1/9))) (cbrt.f64 (+.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 a 1/3))) (/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) (sqrt.f64 (+.f64 a 1/3))) (/.f64 (fma.f64 a a -1/9) (sqrt.f64 (+.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 a a -1/9) (sqrt.f64 (+.f64 a 1/3))) (/.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) (sqrt.f64 (+.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) (fma.f64 a a -1/9))) 2) (sqrt.f64 (+.f64 a 1/3))) (/.f64 (cbrt.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) (fma.f64 a a -1/9)) (+.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 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) (fma.f64 a a -1/9)) (fma.f64 a a -1/9)) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) 1) (+.f64 a -1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) 1) (+.f64 a -1/3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) 1) (+.f64 a -1/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) 1) (+.f64 a -1/3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1 (+.f64 a -1/3)) (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) (fma.f64 a a -1/9)) 3) (pow.f64 (+.f64 a 1/3) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (/.f64 1 (+.f64 a -1/3)) (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) (fma.f64 a a -1/9)) (+.f64 -1/3 (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) 1) (+.f64 a -1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) 1) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) 1) (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) 1) (+.f64 a -1/3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) (fma.f64 a a -1/9)) 3) (pow.f64 (+.f64 a 1/3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) 1) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) 1) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 (*.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand)) (neg.f64 (log.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 (*.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand)) (neg.f64 (log.f64 (+.f64 a -1/3)))) 1)))))) |
((#(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 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 9 a -3) -1/2))) 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 (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 (cbrt.f64 (pow.f64 (fma.f64 9 a -3) -1/2)) (cbrt.f64 (pow.f64 (fma.f64 9 a -3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 9 a -3) -1)) (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) (pow.f64 (fma.f64 9 a -3) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 -1/2) (pow.f64 (fma.f64 9 a -3) -1/2))))) (#(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 (pow.f64 (sqrt.f64 (fma.f64 9 a -3)) -1/2) (pow.f64 (sqrt.f64 (fma.f64 9 a -3)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 9 a -3) -1))))) (#(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 (*.f64 -1/2 (log.f64 (fma.f64 9 a -3))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1))))) (#(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 (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))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand) 3) 1) (+.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand) 2) (-.f64 1 (*.f64 (*.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand) 2) 1) (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (*.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand)) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) (fma.f64 a a -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 a a) (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1)) (*.f64 -1/9 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand) (fma.f64 a a -1/9)) (fma.f64 a a -1/9))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) (*.f64 a a)) (*.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) -1/9))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 a a -1/9) (*.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand)) (fma.f64 a a -1/9))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 a a -1/9)) (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 a a -1/9)) (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 a a -1/9)) (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 a a -1/9)) (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) (fma.f64 a a -1/9)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) (fma.f64 a a -1/9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) (fma.f64 a a -1/9)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) (fma.f64 a a -1/9))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) (fma.f64 a a -1/9))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) 3) (pow.f64 (fma.f64 a a -1/9) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (fma.f64 a a -1/9) 3) (pow.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) (fma.f64 a a -1/9)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 a a -1/9)) (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) (fma.f64 a a -1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) (fma.f64 a a -1/9)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) 3) (pow.f64 (fma.f64 a a -1/9) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 a a -1/9) 3) (pow.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) (fma.f64 a a -1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) (fma.f64 a a -1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) (fma.f64 a a -1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) (fma.f64 a a -1/9))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) (*.f64 a a) (*.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) -1/9))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 a a -1/9) (*.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand) (fma.f64 a a -1/9))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a a) (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) (*.f64 -1/9 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand) (fma.f64 a a -1/9) (fma.f64 a a -1/9)))))) |
| 1× | egg-herbie |
| 393× | fma-def_binary64 |
| 359× | associate--l+_binary64 |
| 302× | associate-/l*_binary64 |
| 297× | distribute-rgt-in_binary64 |
| 293× | times-frac_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 275 | 4391 |
| 1 | 969 | 3777 |
| 2 | 3430 | 3041 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/3 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) 1)) |
(+.f64 (*.f64 -1/3 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) 1)) (*.f64 (-.f64 (*.f64 -1/2 (*.f64 rand (sqrt.f64 -1/3))) (*.f64 -1 (+.f64 1 (*.f64 rand (sqrt.f64 -1/3))))) a)) |
(+.f64 (*.f64 -1/3 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) 1)) (+.f64 (*.f64 (-.f64 (*.f64 -1/2 (*.f64 rand (sqrt.f64 -1/3))) (*.f64 -1 (+.f64 1 (*.f64 rand (sqrt.f64 -1/3))))) a) (*.f64 (pow.f64 a 2) (-.f64 (*.f64 3 (+.f64 1 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 -3/8 (*.f64 rand (sqrt.f64 -1/3)))))) (*.f64 3 (-.f64 (*.f64 -1/2 (*.f64 rand (sqrt.f64 -1/3))) (*.f64 -1 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) 1)))))))) |
(+.f64 (*.f64 (-.f64 (*.f64 3 (+.f64 (*.f64 -15/16 (*.f64 rand (sqrt.f64 -1/3))) (*.f64 3/2 (*.f64 rand (sqrt.f64 -1/3))))) (*.f64 3 (-.f64 (*.f64 3 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (+.f64 1 (*.f64 -3/8 (*.f64 rand (sqrt.f64 -1/3)))))) (*.f64 3 (-.f64 (*.f64 -1/2 (*.f64 rand (sqrt.f64 -1/3))) (*.f64 -1 (+.f64 1 (*.f64 rand (sqrt.f64 -1/3))))))))) (pow.f64 a 3)) (+.f64 (*.f64 -1/3 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) 1)) (+.f64 (*.f64 (-.f64 (*.f64 -1/2 (*.f64 rand (sqrt.f64 -1/3))) (*.f64 -1 (+.f64 1 (*.f64 rand (sqrt.f64 -1/3))))) a) (*.f64 (pow.f64 a 2) (-.f64 (*.f64 3 (+.f64 1 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 -3/8 (*.f64 rand (sqrt.f64 -1/3)))))) (*.f64 3 (-.f64 (*.f64 -1/2 (*.f64 rand (sqrt.f64 -1/3))) (*.f64 -1 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) 1))))))))) |
(*.f64 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)) a) |
(-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)) (*.f64 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)) a)) (*.f64 1/3 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)))) |
(-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)) (+.f64 (*.f64 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)) a) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand) a)) (*.f64 -1/9 (/.f64 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)) a))))) (+.f64 (*.f64 1/3 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand))) (*.f64 1/3 (/.f64 (-.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)) (*.f64 1/3 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)))) a)))) |
(-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)) (+.f64 (*.f64 -1/54 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand) (pow.f64 a 2))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand) a)) (+.f64 (*.f64 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)) a) (+.f64 (*.f64 5/432 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand) (pow.f64 a 2))) (*.f64 -1/9 (/.f64 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)) a))))))) (+.f64 (*.f64 1/3 (/.f64 (-.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)) (*.f64 1/3 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)))) a)) (+.f64 (*.f64 1/3 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand))) (*.f64 1/3 (/.f64 (-.f64 (+.f64 (*.f64 1/24 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)) (*.f64 -1/9 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)))) (*.f64 1/3 (-.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)) (*.f64 1/3 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)))))) (pow.f64 a 2)))))) |
(*.f64 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand)) a) |
(-.f64 (+.f64 (*.f64 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand)) a) (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand))) (*.f64 1/3 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand)))) |
(-.f64 (+.f64 (*.f64 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand)) a) (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 (*.f64 1/24 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand)) (*.f64 -1/9 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand))))) (*.f64 -1/3 (-.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand)) (*.f64 1/3 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand)))))) a)))) (*.f64 1/3 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand)))) |
(-.f64 (+.f64 (*.f64 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand)) a) (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -5/432 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand)) (*.f64 1/54 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand))) (pow.f64 a 2))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 (*.f64 1/24 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand)) (*.f64 -1/9 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand))))) (*.f64 -1/3 (-.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand)) (*.f64 1/3 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand)))))) a))))) (+.f64 (*.f64 1/3 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand))) (*.f64 -1/3 (/.f64 (-.f64 (*.f64 -1 (+.f64 (*.f64 1/24 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand)) (*.f64 -1/9 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand))))) (*.f64 -1/3 (-.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand)) (*.f64 1/3 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand)))))) (pow.f64 a 2))))) |
(/.f64 (-.f64 (pow.f64 a 2) 1/9) (+.f64 1/3 a)) |
(-.f64 (+.f64 (*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 a 2) 1/9) rand) (+.f64 1/3 a)) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) (/.f64 (pow.f64 a 2) (+.f64 1/3 a))) (*.f64 1/9 (/.f64 1 (+.f64 1/3 a)))) |
(-.f64 (+.f64 (*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 a 2) 1/9) rand) (+.f64 1/3 a)) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) (/.f64 (pow.f64 a 2) (+.f64 1/3 a))) (*.f64 1/9 (/.f64 1 (+.f64 1/3 a)))) |
(-.f64 (+.f64 (*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 a 2) 1/9) rand) (+.f64 1/3 a)) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) (/.f64 (pow.f64 a 2) (+.f64 1/3 a))) (*.f64 1/9 (/.f64 1 (+.f64 1/3 a)))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 a 2) 1/9) rand) (+.f64 1/3 a)) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
(-.f64 (+.f64 (*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 a 2) 1/9) rand) (+.f64 1/3 a)) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) (/.f64 (pow.f64 a 2) (+.f64 1/3 a))) (*.f64 1/9 (/.f64 1 (+.f64 1/3 a)))) |
(-.f64 (+.f64 (*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 a 2) 1/9) rand) (+.f64 1/3 a)) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) (/.f64 (pow.f64 a 2) (+.f64 1/3 a))) (*.f64 1/9 (/.f64 1 (+.f64 1/3 a)))) |
(-.f64 (+.f64 (*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 a 2) 1/9) rand) (+.f64 1/3 a)) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) (/.f64 (pow.f64 a 2) (+.f64 1/3 a))) (*.f64 1/9 (/.f64 1 (+.f64 1/3 a)))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 a 2) 1/9) rand) (+.f64 1/3 a)) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
(-.f64 (+.f64 (*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 a 2) 1/9) rand) (+.f64 1/3 a)) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) (/.f64 (pow.f64 a 2) (+.f64 1/3 a))) (*.f64 1/9 (/.f64 1 (+.f64 1/3 a)))) |
(-.f64 (+.f64 (*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 a 2) 1/9) rand) (+.f64 1/3 a)) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) (/.f64 (pow.f64 a 2) (+.f64 1/3 a))) (*.f64 1/9 (/.f64 1 (+.f64 1/3 a)))) |
(-.f64 (+.f64 (*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 a 2) 1/9) rand) (+.f64 1/3 a)) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) (/.f64 (pow.f64 a 2) (+.f64 1/3 a))) (*.f64 1/9 (/.f64 1 (+.f64 1/3 a)))) |
(sqrt.f64 -1/3) |
(+.f64 (*.f64 3/2 (*.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3)) |
(+.f64 (*.f64 3/2 (*.f64 a (sqrt.f64 -1/3))) (+.f64 (sqrt.f64 -1/3) (*.f64 27/8 (*.f64 (pow.f64 a 2) (sqrt.f64 -1/3))))) |
(+.f64 (*.f64 3/2 (*.f64 a (sqrt.f64 -1/3))) (+.f64 (sqrt.f64 -1/3) (+.f64 (*.f64 135/16 (*.f64 (pow.f64 a 3) (sqrt.f64 -1/3))) (*.f64 27/8 (*.f64 (pow.f64 a 2) (sqrt.f64 -1/3)))))) |
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) |
(+.f64 (*.f64 1/6 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) a)) (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9))))) |
(+.f64 (*.f64 1/6 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) a)) (+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) (*.f64 1/24 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) (pow.f64 a 2))))) |
(+.f64 (*.f64 1/6 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) a)) (+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) (+.f64 (*.f64 5/432 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) (pow.f64 a 3))) (*.f64 1/24 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) (pow.f64 a 2)))))) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) |
(+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) (*.f64 1/6 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) a))) |
(+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) (+.f64 (*.f64 1/6 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) a)) (*.f64 1/24 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) (pow.f64 a 2))))) |
(+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) (+.f64 (*.f64 1/6 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) a)) (+.f64 (*.f64 5/432 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) (pow.f64 a 3))) (*.f64 1/24 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) (pow.f64 a 2)))))) |
(+.f64 (*.f64 rand (sqrt.f64 -1/3)) 1) |
(+.f64 1 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 3/2 (*.f64 a (*.f64 rand (sqrt.f64 -1/3)))))) |
(+.f64 1 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (+.f64 (*.f64 3/2 (*.f64 a (*.f64 rand (sqrt.f64 -1/3)))) (*.f64 27/8 (*.f64 (pow.f64 a 2) (*.f64 rand (sqrt.f64 -1/3))))))) |
(+.f64 (*.f64 135/16 (*.f64 (pow.f64 a 3) (*.f64 rand (sqrt.f64 -1/3)))) (+.f64 1 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (+.f64 (*.f64 3/2 (*.f64 a (*.f64 rand (sqrt.f64 -1/3)))) (*.f64 27/8 (*.f64 (pow.f64 a 2) (*.f64 rand (sqrt.f64 -1/3)))))))) |
(+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)) |
(+.f64 1 (+.f64 (*.f64 1/6 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand) a)) (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand))) |
(+.f64 1 (+.f64 (*.f64 1/6 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand) a)) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand) (pow.f64 a 2))) (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)))) |
(+.f64 1 (+.f64 (*.f64 1/6 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand) a)) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand) (pow.f64 a 2))) (+.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand) (*.f64 5/432 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand) (pow.f64 a 3))))))) |
(+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand)) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand) a)) (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand))) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand) a)) (+.f64 1 (+.f64 (*.f64 1/24 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand) (pow.f64 a 2))) (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand)))) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand) a)) (+.f64 1 (+.f64 (*.f64 1/24 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand) (pow.f64 a 2))) (+.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand) (*.f64 5/432 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand) (pow.f64 a 3))))))) |
1 |
(+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) 1) |
(+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) 1) |
(+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) 1) |
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
(+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) 1) |
(+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) 1) |
(+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) 1) |
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
(+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) 1) |
(+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) 1) |
(+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) 1) |
(*.f64 -1/9 (+.f64 1 (*.f64 rand (sqrt.f64 -1/3)))) |
(+.f64 (*.f64 -1/9 (+.f64 1 (*.f64 rand (sqrt.f64 -1/3)))) (*.f64 -1/6 (*.f64 a (*.f64 rand (sqrt.f64 -1/3))))) |
(+.f64 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (+.f64 1 (*.f64 -3/8 (*.f64 rand (sqrt.f64 -1/3)))))) (+.f64 (*.f64 -1/9 (+.f64 1 (*.f64 rand (sqrt.f64 -1/3)))) (*.f64 -1/6 (*.f64 a (*.f64 rand (sqrt.f64 -1/3)))))) |
(+.f64 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (+.f64 1 (*.f64 -3/8 (*.f64 rand (sqrt.f64 -1/3)))))) (+.f64 (*.f64 -1/9 (+.f64 1 (*.f64 rand (sqrt.f64 -1/3)))) (+.f64 (*.f64 -1/6 (*.f64 a (*.f64 rand (sqrt.f64 -1/3)))) (*.f64 (pow.f64 a 3) (+.f64 (*.f64 -15/16 (*.f64 rand (sqrt.f64 -1/3))) (*.f64 3/2 (*.f64 rand (sqrt.f64 -1/3)))))))) |
(*.f64 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)) (pow.f64 a 2)) |
(+.f64 (*.f64 1/6 (*.f64 a (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand))) (*.f64 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)) (pow.f64 a 2))) |
(+.f64 (*.f64 1/6 (*.f64 a (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand))) (+.f64 (*.f64 1/24 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)) (+.f64 (*.f64 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)) (pow.f64 a 2)) (*.f64 -1/9 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)))))) |
(+.f64 (*.f64 1/6 (*.f64 a (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand))) (+.f64 (*.f64 1/24 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)) (+.f64 (*.f64 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)) (pow.f64 a 2)) (+.f64 (*.f64 5/432 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand) a)) (+.f64 (*.f64 -1/9 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand))) (*.f64 -1/54 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand) a))))))) |
(*.f64 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand)) (pow.f64 a 2)) |
(+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) (*.f64 a rand))) (*.f64 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand)) (pow.f64 a 2))) |
(+.f64 (*.f64 1/24 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand)) (+.f64 (*.f64 -1/9 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand))) (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) (*.f64 a rand))) (*.f64 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand)) (pow.f64 a 2))))) |
(+.f64 (*.f64 -1/9 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand))) (+.f64 (*.f64 1/24 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand)) (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) (*.f64 a rand))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -5/432 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand)) (*.f64 1/54 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand))) a)) (*.f64 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand)) (pow.f64 a 2)))))) |
(-.f64 (pow.f64 a 2) 1/9) |
(-.f64 (+.f64 (*.f64 (*.f64 (-.f64 (pow.f64 a 2) 1/9) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) (pow.f64 a 2)) 1/9) |
(-.f64 (+.f64 (*.f64 (*.f64 (-.f64 (pow.f64 a 2) 1/9) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) (pow.f64 a 2)) 1/9) |
(-.f64 (+.f64 (*.f64 (*.f64 (-.f64 (pow.f64 a 2) 1/9) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) (pow.f64 a 2)) 1/9) |
(*.f64 (*.f64 (-.f64 (pow.f64 a 2) 1/9) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
(-.f64 (+.f64 (*.f64 (*.f64 (-.f64 (pow.f64 a 2) 1/9) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) (pow.f64 a 2)) 1/9) |
(-.f64 (+.f64 (*.f64 (*.f64 (-.f64 (pow.f64 a 2) 1/9) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) (pow.f64 a 2)) 1/9) |
(-.f64 (+.f64 (*.f64 (*.f64 (-.f64 (pow.f64 a 2) 1/9) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) (pow.f64 a 2)) 1/9) |
(*.f64 (*.f64 (-.f64 (pow.f64 a 2) 1/9) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
(-.f64 (+.f64 (*.f64 (*.f64 (-.f64 (pow.f64 a 2) 1/9) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) (pow.f64 a 2)) 1/9) |
(-.f64 (+.f64 (*.f64 (*.f64 (-.f64 (pow.f64 a 2) 1/9) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) (pow.f64 a 2)) 1/9) |
(-.f64 (+.f64 (*.f64 (*.f64 (-.f64 (pow.f64 a 2) 1/9) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) (pow.f64 a 2)) 1/9) |
| Outputs |
|---|
(*.f64 -1/3 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) 1)) |
(*.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1)) |
(+.f64 (*.f64 -1/3 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) 1)) (*.f64 (-.f64 (*.f64 -1/2 (*.f64 rand (sqrt.f64 -1/3))) (*.f64 -1 (+.f64 1 (*.f64 rand (sqrt.f64 -1/3))))) a)) |
(fma.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1) (*.f64 (-.f64 (*.f64 (*.f64 rand (sqrt.f64 -1/3)) -1/2) (neg.f64 (fma.f64 rand (sqrt.f64 -1/3) 1))) a)) |
(fma.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1) (*.f64 (fma.f64 (*.f64 rand (sqrt.f64 -1/3)) -1/2 (fma.f64 rand (sqrt.f64 -1/3) 1)) a)) |
(fma.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1) (*.f64 (+.f64 (*.f64 (*.f64 rand (sqrt.f64 -1/3)) 1/2) 1) a)) |
(+.f64 (*.f64 -1/3 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) 1)) (+.f64 (*.f64 (-.f64 (*.f64 -1/2 (*.f64 rand (sqrt.f64 -1/3))) (*.f64 -1 (+.f64 1 (*.f64 rand (sqrt.f64 -1/3))))) a) (*.f64 (pow.f64 a 2) (-.f64 (*.f64 3 (+.f64 1 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 -3/8 (*.f64 rand (sqrt.f64 -1/3)))))) (*.f64 3 (-.f64 (*.f64 -1/2 (*.f64 rand (sqrt.f64 -1/3))) (*.f64 -1 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) 1)))))))) |
(fma.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1) (fma.f64 (-.f64 (*.f64 (*.f64 rand (sqrt.f64 -1/3)) -1/2) (neg.f64 (fma.f64 rand (sqrt.f64 -1/3) 1))) a (*.f64 (*.f64 a a) (*.f64 3 (-.f64 (+.f64 1 (*.f64 5/8 (*.f64 rand (sqrt.f64 -1/3)))) (-.f64 (*.f64 (*.f64 rand (sqrt.f64 -1/3)) -1/2) (neg.f64 (fma.f64 rand (sqrt.f64 -1/3) 1)))))))) |
(fma.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1) (fma.f64 (fma.f64 (*.f64 rand (sqrt.f64 -1/3)) -1/2 (fma.f64 rand (sqrt.f64 -1/3) 1)) a (*.f64 3 (*.f64 (-.f64 (fma.f64 5/8 (*.f64 rand (sqrt.f64 -1/3)) 1) (fma.f64 (*.f64 rand (sqrt.f64 -1/3)) -1/2 (fma.f64 rand (sqrt.f64 -1/3) 1))) (*.f64 a a))))) |
(fma.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1) (*.f64 a (+.f64 (+.f64 (*.f64 (*.f64 rand (sqrt.f64 -1/3)) 1/2) 1) (*.f64 (*.f64 3 (+.f64 (-.f64 (fma.f64 5/8 (*.f64 rand (sqrt.f64 -1/3)) 1) (*.f64 (*.f64 rand (sqrt.f64 -1/3)) 1/2)) -1)) a)))) |
(+.f64 (*.f64 (-.f64 (*.f64 3 (+.f64 (*.f64 -15/16 (*.f64 rand (sqrt.f64 -1/3))) (*.f64 3/2 (*.f64 rand (sqrt.f64 -1/3))))) (*.f64 3 (-.f64 (*.f64 3 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (+.f64 1 (*.f64 -3/8 (*.f64 rand (sqrt.f64 -1/3)))))) (*.f64 3 (-.f64 (*.f64 -1/2 (*.f64 rand (sqrt.f64 -1/3))) (*.f64 -1 (+.f64 1 (*.f64 rand (sqrt.f64 -1/3))))))))) (pow.f64 a 3)) (+.f64 (*.f64 -1/3 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) 1)) (+.f64 (*.f64 (-.f64 (*.f64 -1/2 (*.f64 rand (sqrt.f64 -1/3))) (*.f64 -1 (+.f64 1 (*.f64 rand (sqrt.f64 -1/3))))) a) (*.f64 (pow.f64 a 2) (-.f64 (*.f64 3 (+.f64 1 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 -3/8 (*.f64 rand (sqrt.f64 -1/3)))))) (*.f64 3 (-.f64 (*.f64 -1/2 (*.f64 rand (sqrt.f64 -1/3))) (*.f64 -1 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) 1))))))))) |
(fma.f64 (*.f64 3 (-.f64 (*.f64 (*.f64 rand (sqrt.f64 -1/3)) 9/16) (*.f64 3 (-.f64 (+.f64 1 (*.f64 5/8 (*.f64 rand (sqrt.f64 -1/3)))) (-.f64 (*.f64 (*.f64 rand (sqrt.f64 -1/3)) -1/2) (neg.f64 (fma.f64 rand (sqrt.f64 -1/3) 1))))))) (pow.f64 a 3) (fma.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1) (fma.f64 (-.f64 (*.f64 (*.f64 rand (sqrt.f64 -1/3)) -1/2) (neg.f64 (fma.f64 rand (sqrt.f64 -1/3) 1))) a (*.f64 (*.f64 a a) (*.f64 3 (-.f64 (+.f64 1 (*.f64 5/8 (*.f64 rand (sqrt.f64 -1/3)))) (-.f64 (*.f64 (*.f64 rand (sqrt.f64 -1/3)) -1/2) (neg.f64 (fma.f64 rand (sqrt.f64 -1/3) 1))))))))) |
(fma.f64 (+.f64 (*.f64 (*.f64 rand (sqrt.f64 -1/3)) 27/16) (*.f64 -9 (-.f64 (fma.f64 5/8 (*.f64 rand (sqrt.f64 -1/3)) 1) (fma.f64 (*.f64 rand (sqrt.f64 -1/3)) -1/2 (fma.f64 rand (sqrt.f64 -1/3) 1))))) (pow.f64 a 3) (fma.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1) (fma.f64 (fma.f64 (*.f64 rand (sqrt.f64 -1/3)) -1/2 (fma.f64 rand (sqrt.f64 -1/3) 1)) a (*.f64 3 (*.f64 (-.f64 (fma.f64 5/8 (*.f64 rand (sqrt.f64 -1/3)) 1) (fma.f64 (*.f64 rand (sqrt.f64 -1/3)) -1/2 (fma.f64 rand (sqrt.f64 -1/3) 1))) (*.f64 a a)))))) |
(fma.f64 (fma.f64 (*.f64 rand (sqrt.f64 -1/3)) 27/16 (*.f64 -9 (+.f64 (-.f64 (fma.f64 5/8 (*.f64 rand (sqrt.f64 -1/3)) 1) (*.f64 (*.f64 rand (sqrt.f64 -1/3)) 1/2)) -1))) (pow.f64 a 3) (fma.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1) (*.f64 a (+.f64 (+.f64 (*.f64 (*.f64 rand (sqrt.f64 -1/3)) 1/2) 1) (*.f64 (*.f64 3 (+.f64 (-.f64 (fma.f64 5/8 (*.f64 rand (sqrt.f64 -1/3)) 1) (*.f64 (*.f64 rand (sqrt.f64 -1/3)) 1/2)) -1)) a))))) |
(*.f64 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)) a) |
(*.f64 a (+.f64 1 (*.f64 rand (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9)))))) |
(*.f64 a (fma.f64 rand (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9))) 1)) |
(*.f64 a (fma.f64 rand (*.f64 (pow.f64 a -1/2) (pow.f64 9 -1/2)) 1)) |
(-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)) (*.f64 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)) a)) (*.f64 1/3 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)))) |
(+.f64 (fma.f64 1/6 (*.f64 rand (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9)))) (*.f64 a (+.f64 1 (*.f64 rand (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))))))) (*.f64 -1/3 (+.f64 1 (*.f64 rand (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))))))) |
(fma.f64 (*.f64 rand (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9)))) 1/6 (*.f64 (fma.f64 rand (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9))) 1) (-.f64 a 1/3))) |
(fma.f64 (*.f64 rand (*.f64 (pow.f64 a -1/2) (pow.f64 9 -1/2))) 1/6 (*.f64 (fma.f64 rand (*.f64 (pow.f64 a -1/2) (pow.f64 9 -1/2)) 1) (+.f64 a -1/3))) |
(-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)) (+.f64 (*.f64 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)) a) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand) a)) (*.f64 -1/9 (/.f64 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)) a))))) (+.f64 (*.f64 1/3 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand))) (*.f64 1/3 (/.f64 (-.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)) (*.f64 1/3 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)))) a)))) |
(-.f64 (fma.f64 1/6 (*.f64 rand (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9)))) (fma.f64 (+.f64 1 (*.f64 rand (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))))) a (fma.f64 1/24 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))) (/.f64 a rand)) (/.f64 (+.f64 -1/9 (*.f64 (*.f64 rand (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9)))) -1/9)) a)))) (*.f64 1/3 (+.f64 (+.f64 1 (*.f64 rand (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))))) (/.f64 (-.f64 (*.f64 (*.f64 rand (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9)))) 1/6) (+.f64 1/3 (*.f64 (*.f64 rand (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9)))) 1/3))) a)))) |
(+.f64 (fma.f64 (*.f64 rand (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9)))) 1/6 (fma.f64 a (fma.f64 rand (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9))) 1) (fma.f64 1/24 (*.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9))) a) rand) (/.f64 (fma.f64 rand (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9))) 1) (/.f64 a -1/9))))) (*.f64 -1/3 (+.f64 (fma.f64 rand (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9))) 1) (/.f64 (fma.f64 (*.f64 rand (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9)))) 1/6 (*.f64 -1/3 (fma.f64 rand (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9))) 1))) a)))) |
(-.f64 (+.f64 (fma.f64 1/24 (/.f64 rand (/.f64 (/.f64 a (pow.f64 a -1/2)) (pow.f64 9 -1/2))) (*.f64 (/.f64 -1/9 a) (fma.f64 rand (*.f64 (pow.f64 a -1/2) (pow.f64 9 -1/2)) 1))) (fma.f64 (*.f64 rand (*.f64 (pow.f64 a -1/2) (pow.f64 9 -1/2))) 1/6 (*.f64 (fma.f64 rand (*.f64 (pow.f64 a -1/2) (pow.f64 9 -1/2)) 1) (+.f64 a -1/3)))) (*.f64 (/.f64 1/3 a) (fma.f64 rand (*.f64 (*.f64 (pow.f64 a -1/2) (pow.f64 9 -1/2)) 1/6) (*.f64 -1/3 (fma.f64 rand (*.f64 (pow.f64 a -1/2) (pow.f64 9 -1/2)) 1))))) |
(-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)) (+.f64 (*.f64 -1/54 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand) (pow.f64 a 2))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand) a)) (+.f64 (*.f64 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)) a) (+.f64 (*.f64 5/432 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand) (pow.f64 a 2))) (*.f64 -1/9 (/.f64 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)) a))))))) (+.f64 (*.f64 1/3 (/.f64 (-.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)) (*.f64 1/3 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)))) a)) (+.f64 (*.f64 1/3 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand))) (*.f64 1/3 (/.f64 (-.f64 (+.f64 (*.f64 1/24 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)) (*.f64 -1/9 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)))) (*.f64 1/3 (-.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)) (*.f64 1/3 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)))))) (pow.f64 a 2)))))) |
(-.f64 (fma.f64 1/6 (*.f64 rand (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9)))) (fma.f64 -1/54 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))) (/.f64 (*.f64 a a) rand)) (fma.f64 1/24 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))) (/.f64 a rand)) (fma.f64 (+.f64 1 (*.f64 rand (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))))) a (fma.f64 5/432 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))) (/.f64 (*.f64 a a) rand)) (/.f64 (+.f64 -1/9 (*.f64 (*.f64 rand (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9)))) -1/9)) a)))))) (fma.f64 1/3 (/.f64 (-.f64 (*.f64 (*.f64 rand (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9)))) 1/6) (+.f64 1/3 (*.f64 (*.f64 rand (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9)))) 1/3))) a) (*.f64 1/3 (+.f64 (+.f64 1 (*.f64 rand (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))))) (/.f64 (+.f64 (fma.f64 1/24 (*.f64 rand (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9)))) (+.f64 -1/9 (*.f64 (*.f64 rand (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9)))) -1/9))) (*.f64 -1/3 (-.f64 (*.f64 (*.f64 rand (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9)))) 1/6) (+.f64 1/3 (*.f64 (*.f64 rand (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9)))) 1/3))))) (*.f64 a a)))))) |
(-.f64 (fma.f64 (*.f64 rand (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9)))) 1/6 (fma.f64 -1/54 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9))) (/.f64 (*.f64 a a) rand)) (fma.f64 1/24 (*.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9))) a) rand) (fma.f64 a (fma.f64 rand (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9))) 1) (fma.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9))) (/.f64 (*.f64 a a) rand)) 5/432 (/.f64 (fma.f64 rand (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9))) 1) (/.f64 a -1/9))))))) (*.f64 1/3 (+.f64 (+.f64 (fma.f64 rand (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9))) 1) (/.f64 (fma.f64 (*.f64 rand (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9)))) 1/6 (*.f64 -1/3 (fma.f64 rand (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9))) 1))) a)) (/.f64 (fma.f64 (*.f64 rand (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9)))) 1/24 (fma.f64 (fma.f64 rand (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9))) 1) -1/9 (*.f64 -1/3 (fma.f64 (*.f64 rand (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9)))) 1/6 (*.f64 -1/3 (fma.f64 rand (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9))) 1)))))) (*.f64 a a))))) |
(fma.f64 (*.f64 rand (*.f64 (pow.f64 a -1/2) (pow.f64 9 -1/2))) 1/6 (-.f64 (+.f64 (+.f64 (*.f64 (/.f64 rand (/.f64 (/.f64 a (pow.f64 a -1/2)) (pow.f64 9 -1/2))) (+.f64 1/24 (/.f64 -1/54 a))) (fma.f64 (/.f64 rand (*.f64 a (/.f64 (/.f64 a (pow.f64 a -1/2)) (pow.f64 9 -1/2)))) 5/432 (*.f64 (/.f64 -1/9 a) (fma.f64 rand (*.f64 (pow.f64 a -1/2) (pow.f64 9 -1/2)) 1)))) (-.f64 (*.f64 (fma.f64 rand (*.f64 (pow.f64 a -1/2) (pow.f64 9 -1/2)) 1) (+.f64 a -1/3)) (*.f64 (/.f64 1/3 a) (fma.f64 rand (*.f64 (*.f64 (pow.f64 a -1/2) (pow.f64 9 -1/2)) 1/6) (*.f64 -1/3 (fma.f64 rand (*.f64 (pow.f64 a -1/2) (pow.f64 9 -1/2)) 1)))))) (*.f64 (/.f64 1/3 (*.f64 a a)) (+.f64 -1/9 (-.f64 (*.f64 (*.f64 rand (*.f64 (pow.f64 a -1/2) (pow.f64 9 -1/2))) -5/72) (*.f64 1/3 (fma.f64 rand (*.f64 (*.f64 (pow.f64 a -1/2) (pow.f64 9 -1/2)) 1/6) (*.f64 -1/3 (fma.f64 rand (*.f64 (pow.f64 a -1/2) (pow.f64 9 -1/2)) 1))))))))) |
(*.f64 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand)) a) |
(*.f64 a (+.f64 1 (*.f64 rand (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a)))))))) |
(*.f64 a (fma.f64 rand (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) 1)) |
(*.f64 a (fma.f64 rand (*.f64 (pow.f64 (/.f64 -1 a) 1/2) (pow.f64 -9 -1/2)) 1)) |
(-.f64 (+.f64 (*.f64 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand)) a) (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand))) (*.f64 1/3 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand)))) |
(+.f64 (fma.f64 (+.f64 1 (*.f64 rand (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a))))))) a (*.f64 1/6 (*.f64 rand (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a)))))))) (*.f64 -1/3 (+.f64 1 (*.f64 rand (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a))))))))) |
(fma.f64 a (fma.f64 rand (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) 1) (fma.f64 1/6 (*.f64 rand (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a))))) (*.f64 -1/3 (fma.f64 rand (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) 1)))) |
(+.f64 (*.f64 rand (*.f64 1/6 (*.f64 (pow.f64 (/.f64 -1 a) 1/2) (pow.f64 -9 -1/2)))) (*.f64 (fma.f64 rand (*.f64 (pow.f64 (/.f64 -1 a) 1/2) (pow.f64 -9 -1/2)) 1) (+.f64 a -1/3))) |
(-.f64 (+.f64 (*.f64 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand)) a) (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 (*.f64 1/24 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand)) (*.f64 -1/9 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand))))) (*.f64 -1/3 (-.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand)) (*.f64 1/3 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand)))))) a)))) (*.f64 1/3 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand)))) |
(+.f64 (fma.f64 (+.f64 1 (*.f64 rand (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a))))))) a (fma.f64 1/6 (*.f64 rand (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a)))))) (neg.f64 (/.f64 (+.f64 (neg.f64 (fma.f64 1/24 (*.f64 rand (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a)))))) (+.f64 -1/9 (*.f64 (*.f64 rand (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a)))))) -1/9)))) (*.f64 1/3 (+.f64 (*.f64 1/6 (*.f64 rand (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a))))))) (*.f64 -1/3 (+.f64 1 (*.f64 rand (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a))))))))))) a)))) (*.f64 -1/3 (+.f64 1 (*.f64 rand (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a))))))))) |
(+.f64 (-.f64 (fma.f64 a (fma.f64 rand (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) 1) (*.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) (*.f64 rand 1/6))) (/.f64 (fma.f64 -1 (fma.f64 1/24 (*.f64 rand (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a))))) (*.f64 -1/9 (fma.f64 rand (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) 1))) (*.f64 1/3 (fma.f64 1/6 (*.f64 rand (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a))))) (*.f64 -1/3 (fma.f64 rand (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) 1))))) a)) (*.f64 -1/3 (fma.f64 rand (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) 1))) |
(+.f64 (fma.f64 rand (*.f64 1/6 (*.f64 (pow.f64 (/.f64 -1 a) 1/2) (pow.f64 -9 -1/2))) (/.f64 (+.f64 (+.f64 -1/9 (*.f64 (*.f64 rand (*.f64 (pow.f64 (/.f64 -1 a) 1/2) (pow.f64 -9 -1/2))) -5/72)) (*.f64 -1/3 (fma.f64 rand (*.f64 1/6 (*.f64 (pow.f64 (/.f64 -1 a) 1/2) (pow.f64 -9 -1/2))) (*.f64 -1/3 (fma.f64 rand (*.f64 (pow.f64 (/.f64 -1 a) 1/2) (pow.f64 -9 -1/2)) 1))))) a)) (*.f64 (fma.f64 rand (*.f64 (pow.f64 (/.f64 -1 a) 1/2) (pow.f64 -9 -1/2)) 1) (+.f64 a -1/3))) |
(-.f64 (+.f64 (*.f64 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand)) a) (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -5/432 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand)) (*.f64 1/54 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand))) (pow.f64 a 2))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 (*.f64 1/24 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand)) (*.f64 -1/9 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand))))) (*.f64 -1/3 (-.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand)) (*.f64 1/3 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand)))))) a))))) (+.f64 (*.f64 1/3 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand))) (*.f64 -1/3 (/.f64 (-.f64 (*.f64 -1 (+.f64 (*.f64 1/24 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand)) (*.f64 -1/9 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand))))) (*.f64 -1/3 (-.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand)) (*.f64 1/3 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand)))))) (pow.f64 a 2))))) |
(-.f64 (fma.f64 (+.f64 1 (*.f64 rand (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a))))))) a (fma.f64 1/6 (*.f64 rand (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a)))))) (*.f64 -1 (+.f64 (/.f64 (*.f64 (*.f64 rand (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a)))))) 1/144) (*.f64 a a)) (/.f64 (+.f64 (neg.f64 (fma.f64 1/24 (*.f64 rand (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a)))))) (+.f64 -1/9 (*.f64 (*.f64 rand (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a)))))) -1/9)))) (*.f64 1/3 (+.f64 (*.f64 1/6 (*.f64 rand (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a))))))) (*.f64 -1/3 (+.f64 1 (*.f64 rand (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a))))))))))) a))))) (fma.f64 1/3 (+.f64 1 (*.f64 rand (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a))))))) (*.f64 -1/3 (/.f64 (+.f64 (neg.f64 (fma.f64 1/24 (*.f64 rand (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a)))))) (+.f64 -1/9 (*.f64 (*.f64 rand (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a)))))) -1/9)))) (*.f64 1/3 (+.f64 (*.f64 1/6 (*.f64 rand (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a))))))) (*.f64 -1/3 (+.f64 1 (*.f64 rand (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a))))))))))) (*.f64 a a))))) |
(-.f64 (fma.f64 a (fma.f64 rand (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) 1) (-.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) (*.f64 rand 1/6)) (*.f64 (/.f64 rand (/.f64 a (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))))) (/.f64 1/144 a))) (/.f64 (fma.f64 -1 (fma.f64 1/24 (*.f64 rand (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a))))) (*.f64 -1/9 (fma.f64 rand (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) 1))) (*.f64 1/3 (fma.f64 1/6 (*.f64 rand (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a))))) (*.f64 -1/3 (fma.f64 rand (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) 1))))) a))) (fma.f64 -1/3 (/.f64 (fma.f64 -1 (fma.f64 1/24 (*.f64 rand (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a))))) (*.f64 -1/9 (fma.f64 rand (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) 1))) (*.f64 1/3 (fma.f64 1/6 (*.f64 rand (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a))))) (*.f64 -1/3 (fma.f64 rand (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) 1))))) (*.f64 a a)) (*.f64 1/3 (fma.f64 rand (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) 1)))) |
(+.f64 (+.f64 (/.f64 (+.f64 (+.f64 -1/9 (*.f64 (*.f64 rand (*.f64 (pow.f64 (/.f64 -1 a) 1/2) (pow.f64 -9 -1/2))) -5/72)) (*.f64 -1/3 (fma.f64 rand (*.f64 1/6 (*.f64 (pow.f64 (/.f64 -1 a) 1/2) (pow.f64 -9 -1/2))) (*.f64 -1/3 (fma.f64 rand (*.f64 (pow.f64 (/.f64 -1 a) 1/2) (pow.f64 -9 -1/2)) 1))))) a) (fma.f64 rand (*.f64 1/6 (*.f64 (pow.f64 (/.f64 -1 a) 1/2) (pow.f64 -9 -1/2))) (/.f64 (*.f64 (*.f64 rand (*.f64 (pow.f64 (/.f64 -1 a) 1/2) (pow.f64 -9 -1/2))) -1/144) (*.f64 a a)))) (-.f64 (*.f64 (fma.f64 rand (*.f64 (pow.f64 (/.f64 -1 a) 1/2) (pow.f64 -9 -1/2)) 1) (+.f64 a -1/3)) (*.f64 (/.f64 -1/3 (*.f64 a a)) (+.f64 (-.f64 1/9 (*.f64 (*.f64 rand (*.f64 (pow.f64 (/.f64 -1 a) 1/2) (pow.f64 -9 -1/2))) -5/72)) (*.f64 1/3 (fma.f64 rand (*.f64 1/6 (*.f64 (pow.f64 (/.f64 -1 a) 1/2) (pow.f64 -9 -1/2))) (*.f64 -1/3 (fma.f64 rand (*.f64 (pow.f64 (/.f64 -1 a) 1/2) (pow.f64 -9 -1/2)) 1)))))))) |
(/.f64 (-.f64 (pow.f64 a 2) 1/9) (+.f64 1/3 a)) |
(/.f64 (+.f64 (*.f64 a a) -1/9) (+.f64 a 1/3)) |
(/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)) |
(-.f64 (+.f64 (*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 a 2) 1/9) rand) (+.f64 1/3 a)) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) (/.f64 (pow.f64 a 2) (+.f64 1/3 a))) (*.f64 1/9 (/.f64 1 (+.f64 1/3 a)))) |
(+.f64 (*.f64 (/.f64 (+.f64 (*.f64 a a) -1/9) (/.f64 (+.f64 a 1/3) rand)) (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) (/.f64 (+.f64 (*.f64 a a) -1/9) (+.f64 a 1/3))) |
(fma.f64 (/.f64 rand (/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9))) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3))) |
(fma.f64 (*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)) rand) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3))) |
(-.f64 (+.f64 (*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 a 2) 1/9) rand) (+.f64 1/3 a)) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) (/.f64 (pow.f64 a 2) (+.f64 1/3 a))) (*.f64 1/9 (/.f64 1 (+.f64 1/3 a)))) |
(+.f64 (*.f64 (/.f64 (+.f64 (*.f64 a a) -1/9) (/.f64 (+.f64 a 1/3) rand)) (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) (/.f64 (+.f64 (*.f64 a a) -1/9) (+.f64 a 1/3))) |
(fma.f64 (/.f64 rand (/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9))) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3))) |
(fma.f64 (*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)) rand) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3))) |
(-.f64 (+.f64 (*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 a 2) 1/9) rand) (+.f64 1/3 a)) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) (/.f64 (pow.f64 a 2) (+.f64 1/3 a))) (*.f64 1/9 (/.f64 1 (+.f64 1/3 a)))) |
(+.f64 (*.f64 (/.f64 (+.f64 (*.f64 a a) -1/9) (/.f64 (+.f64 a 1/3) rand)) (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) (/.f64 (+.f64 (*.f64 a a) -1/9) (+.f64 a 1/3))) |
(fma.f64 (/.f64 rand (/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9))) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3))) |
(fma.f64 (*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)) rand) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 a 2) 1/9) rand) (+.f64 1/3 a)) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
(*.f64 (/.f64 (+.f64 (*.f64 a a) -1/9) (/.f64 (+.f64 a 1/3) rand)) (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) |
(*.f64 (/.f64 rand (/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9))) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) |
(*.f64 (*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)) rand) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) |
(-.f64 (+.f64 (*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 a 2) 1/9) rand) (+.f64 1/3 a)) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) (/.f64 (pow.f64 a 2) (+.f64 1/3 a))) (*.f64 1/9 (/.f64 1 (+.f64 1/3 a)))) |
(+.f64 (*.f64 (/.f64 (+.f64 (*.f64 a a) -1/9) (/.f64 (+.f64 a 1/3) rand)) (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) (/.f64 (+.f64 (*.f64 a a) -1/9) (+.f64 a 1/3))) |
(fma.f64 (/.f64 rand (/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9))) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3))) |
(fma.f64 (*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)) rand) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3))) |
(-.f64 (+.f64 (*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 a 2) 1/9) rand) (+.f64 1/3 a)) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) (/.f64 (pow.f64 a 2) (+.f64 1/3 a))) (*.f64 1/9 (/.f64 1 (+.f64 1/3 a)))) |
(+.f64 (*.f64 (/.f64 (+.f64 (*.f64 a a) -1/9) (/.f64 (+.f64 a 1/3) rand)) (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) (/.f64 (+.f64 (*.f64 a a) -1/9) (+.f64 a 1/3))) |
(fma.f64 (/.f64 rand (/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9))) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3))) |
(fma.f64 (*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)) rand) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3))) |
(-.f64 (+.f64 (*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 a 2) 1/9) rand) (+.f64 1/3 a)) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) (/.f64 (pow.f64 a 2) (+.f64 1/3 a))) (*.f64 1/9 (/.f64 1 (+.f64 1/3 a)))) |
(+.f64 (*.f64 (/.f64 (+.f64 (*.f64 a a) -1/9) (/.f64 (+.f64 a 1/3) rand)) (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) (/.f64 (+.f64 (*.f64 a a) -1/9) (+.f64 a 1/3))) |
(fma.f64 (/.f64 rand (/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9))) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3))) |
(fma.f64 (*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)) rand) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 a 2) 1/9) rand) (+.f64 1/3 a)) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
(*.f64 (/.f64 (+.f64 (*.f64 a a) -1/9) (/.f64 (+.f64 a 1/3) rand)) (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) |
(*.f64 (/.f64 rand (/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9))) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) |
(*.f64 (*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)) rand) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) |
(-.f64 (+.f64 (*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 a 2) 1/9) rand) (+.f64 1/3 a)) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) (/.f64 (pow.f64 a 2) (+.f64 1/3 a))) (*.f64 1/9 (/.f64 1 (+.f64 1/3 a)))) |
(+.f64 (*.f64 (/.f64 (+.f64 (*.f64 a a) -1/9) (/.f64 (+.f64 a 1/3) rand)) (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) (/.f64 (+.f64 (*.f64 a a) -1/9) (+.f64 a 1/3))) |
(fma.f64 (/.f64 rand (/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9))) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3))) |
(fma.f64 (*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)) rand) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3))) |
(-.f64 (+.f64 (*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 a 2) 1/9) rand) (+.f64 1/3 a)) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) (/.f64 (pow.f64 a 2) (+.f64 1/3 a))) (*.f64 1/9 (/.f64 1 (+.f64 1/3 a)))) |
(+.f64 (*.f64 (/.f64 (+.f64 (*.f64 a a) -1/9) (/.f64 (+.f64 a 1/3) rand)) (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) (/.f64 (+.f64 (*.f64 a a) -1/9) (+.f64 a 1/3))) |
(fma.f64 (/.f64 rand (/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9))) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3))) |
(fma.f64 (*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)) rand) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3))) |
(-.f64 (+.f64 (*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 a 2) 1/9) rand) (+.f64 1/3 a)) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) (/.f64 (pow.f64 a 2) (+.f64 1/3 a))) (*.f64 1/9 (/.f64 1 (+.f64 1/3 a)))) |
(+.f64 (*.f64 (/.f64 (+.f64 (*.f64 a a) -1/9) (/.f64 (+.f64 a 1/3) rand)) (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) (/.f64 (+.f64 (*.f64 a a) -1/9) (+.f64 a 1/3))) |
(fma.f64 (/.f64 rand (/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9))) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3))) |
(fma.f64 (*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)) rand) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (/.f64 (fma.f64 a a -1/9) (+.f64 a 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 (*.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 27/8 (*.f64 (sqrt.f64 -1/3) (*.f64 a a)))) |
(fma.f64 3/2 (*.f64 (sqrt.f64 -1/3) a) (fma.f64 (*.f64 (*.f64 a a) 27/8) (sqrt.f64 -1/3) (sqrt.f64 -1/3))) |
(+.f64 (sqrt.f64 -1/3) (*.f64 (sqrt.f64 -1/3) (*.f64 a (+.f64 (*.f64 27/8 a) 3/2)))) |
(+.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 27/8 (*.f64 (sqrt.f64 -1/3) (*.f64 a a))))) |
(+.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)))) |
(+.f64 (sqrt.f64 -1/3) (*.f64 (sqrt.f64 -1/3) (+.f64 (*.f64 a 3/2) (*.f64 (*.f64 a a) (+.f64 27/8 (*.f64 135/16 a)))))) |
(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)) |
(+.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 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))))) |
(+.f64 (*.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 (/.f64 1/24 a) 1/6))) |
(+.f64 (*.f64 1/6 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) a)) (+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) (+.f64 (*.f64 5/432 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) (pow.f64 a 3))) (*.f64 1/24 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) (pow.f64 a 2)))))) |
(+.f64 (fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))) a) (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9)))) (fma.f64 5/432 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))) (pow.f64 a 3)) (*.f64 1/24 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))) (*.f64 a a))))) |
(+.f64 (fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9))) a) (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9)))) (fma.f64 1/24 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9))) (*.f64 a a)) (*.f64 5/432 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9))) (pow.f64 a 3))))) |
(+.f64 (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 (pow.f64 a -1/2) a) (/.f64 (pow.f64 9 -1/2) a)) (+.f64 1/24 (/.f64 5/432 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 (/.f64 -1 a) 1/2) (pow.f64 -9 -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 (/.f64 -1 a) 1/2) (pow.f64 -9 -1/2)) a) (*.f64 (pow.f64 (/.f64 -1 a) 1/2) (pow.f64 -9 -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 (*.f64 1/24 (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))))) |
(+.f64 (*.f64 (pow.f64 (/.f64 -1 a) 1/2) (pow.f64 -9 -1/2)) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 -1 a) 1/2) (pow.f64 -9 -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 (*.f64 1/24 (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)))))) |
(+.f64 (fma.f64 1/6 (/.f64 (*.f64 (pow.f64 (/.f64 -1 a) 1/2) (pow.f64 -9 -1/2)) a) (*.f64 (pow.f64 (/.f64 -1 a) 1/2) (pow.f64 -9 -1/2))) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 -1 a) 1/2) (pow.f64 -9 -1/2)) (*.f64 a a)) (+.f64 1/24 (/.f64 5/432 a)))) |
(+.f64 (*.f64 rand (sqrt.f64 -1/3)) 1) |
(fma.f64 rand (sqrt.f64 -1/3) 1) |
(+.f64 1 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 3/2 (*.f64 a (*.f64 rand (sqrt.f64 -1/3)))))) |
(+.f64 (fma.f64 rand (sqrt.f64 -1/3) 1) (*.f64 3/2 (*.f64 (*.f64 rand a) (sqrt.f64 -1/3)))) |
(+.f64 1 (*.f64 (+.f64 (*.f64 a 3/2) 1) (*.f64 rand (sqrt.f64 -1/3)))) |
(+.f64 1 (*.f64 rand (*.f64 (+.f64 (*.f64 a 3/2) 1) (sqrt.f64 -1/3)))) |
(+.f64 1 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (+.f64 (*.f64 3/2 (*.f64 a (*.f64 rand (sqrt.f64 -1/3)))) (*.f64 27/8 (*.f64 (pow.f64 a 2) (*.f64 rand (sqrt.f64 -1/3))))))) |
(+.f64 (fma.f64 rand (sqrt.f64 -1/3) 1) (fma.f64 3/2 (*.f64 (*.f64 rand a) (sqrt.f64 -1/3)) (*.f64 27/8 (*.f64 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 a a))))) |
(+.f64 1 (fma.f64 rand (sqrt.f64 -1/3) (*.f64 (*.f64 rand (sqrt.f64 -1/3)) (+.f64 (*.f64 a 3/2) (*.f64 (*.f64 a a) 27/8))))) |
(+.f64 (fma.f64 rand (sqrt.f64 -1/3) 1) (*.f64 rand (*.f64 (sqrt.f64 -1/3) (*.f64 a (+.f64 (*.f64 27/8 a) 3/2))))) |
(+.f64 (*.f64 135/16 (*.f64 (pow.f64 a 3) (*.f64 rand (sqrt.f64 -1/3)))) (+.f64 1 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (+.f64 (*.f64 3/2 (*.f64 a (*.f64 rand (sqrt.f64 -1/3)))) (*.f64 27/8 (*.f64 (pow.f64 a 2) (*.f64 rand (sqrt.f64 -1/3)))))))) |
(fma.f64 135/16 (*.f64 (*.f64 rand (sqrt.f64 -1/3)) (pow.f64 a 3)) (+.f64 (fma.f64 rand (sqrt.f64 -1/3) 1) (fma.f64 3/2 (*.f64 (*.f64 rand a) (sqrt.f64 -1/3)) (*.f64 27/8 (*.f64 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 a a)))))) |
(+.f64 (fma.f64 rand (sqrt.f64 -1/3) (*.f64 (*.f64 rand (sqrt.f64 -1/3)) (+.f64 (*.f64 a 3/2) (*.f64 (*.f64 a a) 27/8)))) (fma.f64 135/16 (*.f64 rand (*.f64 (sqrt.f64 -1/3) (pow.f64 a 3))) 1)) |
(+.f64 (fma.f64 rand (sqrt.f64 -1/3) 1) (*.f64 (*.f64 rand (sqrt.f64 -1/3)) (+.f64 (*.f64 a (+.f64 (*.f64 27/8 a) 3/2)) (*.f64 (pow.f64 a 3) 135/16)))) |
(+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)) |
(+.f64 1 (*.f64 rand (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))))) |
(fma.f64 rand (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9))) 1) |
(fma.f64 rand (*.f64 (pow.f64 a -1/2) (pow.f64 9 -1/2)) 1) |
(+.f64 1 (+.f64 (*.f64 1/6 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand) a)) (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand))) |
(+.f64 1 (fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))) (/.f64 a rand)) (*.f64 rand (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9)))))) |
(+.f64 1 (fma.f64 rand (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9))) (*.f64 1/6 (*.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9))) a) rand)))) |
(+.f64 1 (fma.f64 rand (*.f64 (pow.f64 a -1/2) (pow.f64 9 -1/2)) (*.f64 1/6 (/.f64 rand (/.f64 (/.f64 a (pow.f64 a -1/2)) (pow.f64 9 -1/2)))))) |
(+.f64 1 (+.f64 (*.f64 1/6 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand) a)) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand) (pow.f64 a 2))) (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)))) |
(+.f64 1 (fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))) (/.f64 a rand)) (fma.f64 1/24 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))) (/.f64 (*.f64 a a) rand)) (*.f64 rand (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))))))) |
(+.f64 1 (fma.f64 1/6 (*.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9))) a) rand) (fma.f64 rand (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9))) (*.f64 1/24 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9))) (/.f64 (*.f64 a a) rand)))))) |
(+.f64 (*.f64 (/.f64 rand (/.f64 (/.f64 a (pow.f64 a -1/2)) (pow.f64 9 -1/2))) (+.f64 1/6 (/.f64 1/24 a))) (fma.f64 rand (*.f64 (pow.f64 a -1/2) (pow.f64 9 -1/2)) 1)) |
(+.f64 1 (+.f64 (*.f64 1/6 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand) a)) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand) (pow.f64 a 2))) (+.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand) (*.f64 5/432 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand) (pow.f64 a 3))))))) |
(+.f64 1 (fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))) (/.f64 a rand)) (fma.f64 1/24 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))) (/.f64 (*.f64 a a) rand)) (fma.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))) rand (*.f64 5/432 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))) (/.f64 (pow.f64 a 3) rand))))))) |
(+.f64 1 (fma.f64 1/6 (*.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9))) a) rand) (fma.f64 1/24 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9))) (/.f64 (*.f64 a a) rand)) (fma.f64 rand (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9))) (/.f64 (*.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9))) 5/432) (/.f64 (pow.f64 a 3) rand)))))) |
(+.f64 1 (+.f64 (fma.f64 rand (*.f64 (pow.f64 a -1/2) (pow.f64 9 -1/2)) (*.f64 5/432 (/.f64 rand (/.f64 (/.f64 (pow.f64 a 3) (pow.f64 a -1/2)) (pow.f64 9 -1/2))))) (*.f64 (/.f64 rand (/.f64 (/.f64 a (pow.f64 a -1/2)) (pow.f64 9 -1/2))) (+.f64 1/6 (/.f64 1/24 a))))) |
(+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand)) |
(+.f64 1 (*.f64 rand (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a))))))) |
(fma.f64 rand (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) 1) |
(fma.f64 rand (*.f64 (pow.f64 (/.f64 -1 a) 1/2) (pow.f64 -9 -1/2)) 1) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand) a)) (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand))) |
(fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a))))) (/.f64 a rand)) (+.f64 1 (*.f64 rand (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a)))))))) |
(fma.f64 1/6 (/.f64 rand (/.f64 a (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))))) (fma.f64 rand (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) 1)) |
(fma.f64 1/6 (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 -1 a) 1/2) (pow.f64 -9 -1/2)) a) rand) (fma.f64 rand (*.f64 (pow.f64 (/.f64 -1 a) 1/2) (pow.f64 -9 -1/2)) 1)) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand) a)) (+.f64 1 (+.f64 (*.f64 1/24 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand) (pow.f64 a 2))) (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand)))) |
(fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a))))) (/.f64 a rand)) (+.f64 1 (fma.f64 1/24 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a))))) (/.f64 (*.f64 a a) rand)) (*.f64 rand (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a))))))))) |
(+.f64 (fma.f64 1/6 (/.f64 rand (/.f64 a (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))))) (fma.f64 rand (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) 1)) (*.f64 1/24 (/.f64 rand (/.f64 (*.f64 a a) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))))))) |
(+.f64 (fma.f64 1/6 (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 -1 a) 1/2) (pow.f64 -9 -1/2)) a) rand) (fma.f64 rand (*.f64 (pow.f64 (/.f64 -1 a) 1/2) (pow.f64 -9 -1/2)) 1)) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 -1 a) 1/2) (pow.f64 -9 -1/2)) a) (/.f64 (*.f64 rand 1/24) a))) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand) a)) (+.f64 1 (+.f64 (*.f64 1/24 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand) (pow.f64 a 2))) (+.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand) (*.f64 5/432 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand) (pow.f64 a 3))))))) |
(fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a))))) (/.f64 a rand)) (+.f64 1 (fma.f64 1/24 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a))))) (/.f64 (*.f64 a a) rand)) (fma.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a))))) rand (*.f64 5/432 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a))))) (/.f64 (pow.f64 a 3) rand))))))) |
(+.f64 (fma.f64 1/24 (/.f64 rand (/.f64 (*.f64 a a) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))))) (fma.f64 rand (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) (*.f64 5/432 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) (/.f64 (pow.f64 a 3) rand))))) (fma.f64 1/6 (/.f64 rand (/.f64 a (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))))) 1)) |
(+.f64 (+.f64 (*.f64 rand (*.f64 (pow.f64 (/.f64 -1 a) 1/2) (pow.f64 -9 -1/2))) (*.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 -1 a) 1/2) (pow.f64 -9 -1/2)) a) (/.f64 rand a)) (+.f64 1/24 (/.f64 5/432 a)))) (fma.f64 1/6 (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 -1 a) 1/2) (pow.f64 -9 -1/2)) a) rand) 1)) |
1 |
(+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) 1) |
(fma.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) 1) |
(fma.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) 1) |
(+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) 1) |
(fma.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) 1) |
(fma.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) 1) |
(+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) 1) |
(fma.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) 1) |
(fma.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) 1) |
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) |
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) |
(+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) 1) |
(fma.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) 1) |
(fma.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) 1) |
(+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) 1) |
(fma.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) 1) |
(fma.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) 1) |
(+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) 1) |
(fma.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) 1) |
(fma.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) 1) |
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) |
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) |
(+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) 1) |
(fma.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) 1) |
(fma.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) 1) |
(+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) 1) |
(fma.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) 1) |
(fma.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) 1) |
(+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) 1) |
(fma.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) 1) |
(fma.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) 1) |
(*.f64 -1/9 (+.f64 1 (*.f64 rand (sqrt.f64 -1/3)))) |
(*.f64 (fma.f64 rand (sqrt.f64 -1/3) 1) -1/9) |
(+.f64 (*.f64 -1/9 (+.f64 1 (*.f64 rand (sqrt.f64 -1/3)))) (*.f64 -1/6 (*.f64 a (*.f64 rand (sqrt.f64 -1/3))))) |
(fma.f64 -1/9 (fma.f64 rand (sqrt.f64 -1/3) 1) (*.f64 (*.f64 (*.f64 rand a) (sqrt.f64 -1/3)) -1/6)) |
(fma.f64 (fma.f64 rand (sqrt.f64 -1/3) 1) -1/9 (*.f64 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 a -1/6))) |
(+.f64 -1/9 (*.f64 (*.f64 rand (sqrt.f64 -1/3)) (+.f64 -1/9 (*.f64 a -1/6)))) |
(+.f64 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (+.f64 1 (*.f64 -3/8 (*.f64 rand (sqrt.f64 -1/3)))))) (+.f64 (*.f64 -1/9 (+.f64 1 (*.f64 rand (sqrt.f64 -1/3)))) (*.f64 -1/6 (*.f64 a (*.f64 rand (sqrt.f64 -1/3)))))) |
(fma.f64 (*.f64 a a) (+.f64 1 (*.f64 5/8 (*.f64 rand (sqrt.f64 -1/3)))) (fma.f64 -1/9 (fma.f64 rand (sqrt.f64 -1/3) 1) (*.f64 (*.f64 (*.f64 rand a) (sqrt.f64 -1/3)) -1/6))) |
(fma.f64 (*.f64 a a) (fma.f64 5/8 (*.f64 rand (sqrt.f64 -1/3)) 1) (fma.f64 (fma.f64 rand (sqrt.f64 -1/3) 1) -1/9 (*.f64 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 a -1/6)))) |
(fma.f64 (*.f64 a a) (fma.f64 5/8 (*.f64 rand (sqrt.f64 -1/3)) 1) (+.f64 -1/9 (*.f64 (*.f64 rand (sqrt.f64 -1/3)) (+.f64 -1/9 (*.f64 a -1/6))))) |
(+.f64 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (+.f64 1 (*.f64 -3/8 (*.f64 rand (sqrt.f64 -1/3)))))) (+.f64 (*.f64 -1/9 (+.f64 1 (*.f64 rand (sqrt.f64 -1/3)))) (+.f64 (*.f64 -1/6 (*.f64 a (*.f64 rand (sqrt.f64 -1/3)))) (*.f64 (pow.f64 a 3) (+.f64 (*.f64 -15/16 (*.f64 rand (sqrt.f64 -1/3))) (*.f64 3/2 (*.f64 rand (sqrt.f64 -1/3)))))))) |
(fma.f64 (*.f64 a a) (+.f64 1 (*.f64 5/8 (*.f64 rand (sqrt.f64 -1/3)))) (fma.f64 -1/9 (fma.f64 rand (sqrt.f64 -1/3) 1) (fma.f64 -1/6 (*.f64 (*.f64 rand a) (sqrt.f64 -1/3)) (*.f64 (*.f64 (*.f64 rand (sqrt.f64 -1/3)) 9/16) (pow.f64 a 3))))) |
(fma.f64 (*.f64 a a) (fma.f64 5/8 (*.f64 rand (sqrt.f64 -1/3)) 1) (fma.f64 (fma.f64 rand (sqrt.f64 -1/3) 1) -1/9 (fma.f64 (*.f64 rand (*.f64 (sqrt.f64 -1/3) 9/16)) (pow.f64 a 3) (*.f64 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 a -1/6))))) |
(fma.f64 (*.f64 a a) (fma.f64 5/8 (*.f64 rand (sqrt.f64 -1/3)) 1) (fma.f64 (fma.f64 rand (sqrt.f64 -1/3) 1) -1/9 (*.f64 (*.f64 rand (sqrt.f64 -1/3)) (+.f64 (*.f64 a -1/6) (*.f64 9/16 (pow.f64 a 3)))))) |
(*.f64 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)) (pow.f64 a 2)) |
(*.f64 (*.f64 a a) (+.f64 1 (*.f64 rand (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9)))))) |
(*.f64 a (*.f64 a (fma.f64 rand (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9))) 1))) |
(*.f64 (*.f64 a a) (fma.f64 rand (*.f64 (pow.f64 a -1/2) (pow.f64 9 -1/2)) 1)) |
(+.f64 (*.f64 1/6 (*.f64 a (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand))) (*.f64 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)) (pow.f64 a 2))) |
(fma.f64 1/6 (*.f64 a (*.f64 rand (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))))) (*.f64 (*.f64 a a) (+.f64 1 (*.f64 rand (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))))))) |
(fma.f64 (*.f64 a a) (fma.f64 rand (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9))) 1) (*.f64 a (*.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9))) (*.f64 rand 1/6)))) |
(*.f64 a (fma.f64 a (fma.f64 rand (*.f64 (pow.f64 a -1/2) (pow.f64 9 -1/2)) 1) (*.f64 (*.f64 (pow.f64 a -1/2) (pow.f64 9 -1/2)) (*.f64 rand 1/6)))) |
(+.f64 (*.f64 1/6 (*.f64 a (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand))) (+.f64 (*.f64 1/24 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)) (+.f64 (*.f64 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)) (pow.f64 a 2)) (*.f64 -1/9 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)))))) |
(fma.f64 1/6 (*.f64 a (*.f64 rand (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))))) (fma.f64 1/24 (*.f64 rand (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9)))) (fma.f64 (+.f64 1 (*.f64 rand (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))))) (*.f64 a a) (+.f64 -1/9 (*.f64 (*.f64 rand (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9)))) -1/9))))) |
(+.f64 (*.f64 (fma.f64 rand (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9))) 1) (fma.f64 a a -1/9)) (*.f64 (*.f64 rand (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9)))) (+.f64 (*.f64 a 1/6) 1/24))) |
(+.f64 (*.f64 (fma.f64 rand (*.f64 (pow.f64 a -1/2) (pow.f64 9 -1/2)) 1) (fma.f64 a a -1/9)) (*.f64 (*.f64 rand (*.f64 (pow.f64 a -1/2) (pow.f64 9 -1/2))) (+.f64 (*.f64 a 1/6) 1/24))) |
(+.f64 (*.f64 1/6 (*.f64 a (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand))) (+.f64 (*.f64 1/24 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)) (+.f64 (*.f64 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)) (pow.f64 a 2)) (+.f64 (*.f64 5/432 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand) a)) (+.f64 (*.f64 -1/9 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand))) (*.f64 -1/54 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand) a))))))) |
(fma.f64 1/6 (*.f64 a (*.f64 rand (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))))) (fma.f64 1/24 (*.f64 rand (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9)))) (fma.f64 (+.f64 1 (*.f64 rand (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))))) (*.f64 a a) (fma.f64 5/432 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))) (/.f64 a rand)) (fma.f64 -1/9 (+.f64 1 (*.f64 rand (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))))) (*.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))) (/.f64 a rand)) -1/54)))))) |
(+.f64 (fma.f64 (*.f64 a a) (fma.f64 rand (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9))) 1) (fma.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9))) a) rand) 5/432 (fma.f64 (fma.f64 rand (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9))) 1) -1/9 (*.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9))) a) rand) -1/54)))) (*.f64 (*.f64 rand (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9)))) (+.f64 (*.f64 a 1/6) 1/24))) |
(+.f64 (fma.f64 (*.f64 a a) (fma.f64 rand (*.f64 (pow.f64 a -1/2) (pow.f64 9 -1/2)) 1) (+.f64 (*.f64 (fma.f64 rand (*.f64 (pow.f64 a -1/2) (pow.f64 9 -1/2)) 1) -1/9) (*.f64 (/.f64 rand (/.f64 (/.f64 a (pow.f64 a -1/2)) (pow.f64 9 -1/2))) -1/144))) (*.f64 (*.f64 rand (*.f64 (pow.f64 a -1/2) (pow.f64 9 -1/2))) (+.f64 (*.f64 a 1/6) 1/24))) |
(*.f64 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand)) (pow.f64 a 2)) |
(*.f64 (*.f64 a a) (+.f64 1 (*.f64 rand (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a)))))))) |
(*.f64 a (*.f64 a (fma.f64 rand (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) 1))) |
(*.f64 a (*.f64 a (fma.f64 rand (*.f64 (pow.f64 (/.f64 -1 a) 1/2) (pow.f64 -9 -1/2)) 1))) |
(+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) (*.f64 a rand))) (*.f64 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand)) (pow.f64 a 2))) |
(fma.f64 1/6 (*.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a))))) (*.f64 rand a)) (*.f64 (*.f64 a a) (+.f64 1 (*.f64 rand (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a))))))))) |
(fma.f64 (*.f64 a a) (fma.f64 rand (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) 1) (*.f64 1/6 (*.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) (*.f64 rand a)))) |
(*.f64 a (fma.f64 a (fma.f64 rand (*.f64 (pow.f64 (/.f64 -1 a) 1/2) (pow.f64 -9 -1/2)) 1) (*.f64 rand (*.f64 1/6 (*.f64 (pow.f64 (/.f64 -1 a) 1/2) (pow.f64 -9 -1/2)))))) |
(+.f64 (*.f64 1/24 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand)) (+.f64 (*.f64 -1/9 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand))) (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) (*.f64 a rand))) (*.f64 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand)) (pow.f64 a 2))))) |
(fma.f64 1/24 (*.f64 rand (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a)))))) (fma.f64 -1/9 (+.f64 1 (*.f64 rand (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))))) (*.f64 rand a)) (*.f64 (*.f64 a a) (+.f64 1 (*.f64 rand (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a))))))))))) |
(fma.f64 1/24 (*.f64 rand (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a))))) (fma.f64 -1/9 (fma.f64 rand (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) 1) (fma.f64 (*.f64 a a) (fma.f64 rand (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) 1) (*.f64 1/6 (*.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) (*.f64 rand a)))))) |
(+.f64 (+.f64 -1/9 (*.f64 (*.f64 rand (*.f64 (pow.f64 (/.f64 -1 a) 1/2) (pow.f64 -9 -1/2))) -5/72)) (*.f64 a (fma.f64 a (fma.f64 rand (*.f64 (pow.f64 (/.f64 -1 a) 1/2) (pow.f64 -9 -1/2)) 1) (*.f64 rand (*.f64 1/6 (*.f64 (pow.f64 (/.f64 -1 a) 1/2) (pow.f64 -9 -1/2))))))) |
(+.f64 (*.f64 -1/9 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand))) (+.f64 (*.f64 1/24 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand)) (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) (*.f64 a rand))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -5/432 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand)) (*.f64 1/54 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand))) a)) (*.f64 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand)) (pow.f64 a 2)))))) |
(fma.f64 -1/9 (+.f64 1 (*.f64 rand (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a))))))) (fma.f64 1/24 (*.f64 rand (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))))) (*.f64 rand a)) (fma.f64 -1 (/.f64 (*.f64 (*.f64 rand (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a)))))) 1/144) a) (*.f64 (*.f64 a a) (+.f64 1 (*.f64 rand (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a)))))))))))) |
(fma.f64 -1/9 (fma.f64 rand (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) 1) (fma.f64 1/24 (*.f64 rand (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)))) (*.f64 rand a)) (fma.f64 (*.f64 a a) (fma.f64 rand (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) 1) (neg.f64 (/.f64 (*.f64 rand (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a))))) (/.f64 a 1/144))))))) |
(+.f64 (+.f64 -1/9 (*.f64 (*.f64 rand (*.f64 (pow.f64 (/.f64 -1 a) 1/2) (pow.f64 -9 -1/2))) -5/72)) (+.f64 (*.f64 a (fma.f64 a (fma.f64 rand (*.f64 (pow.f64 (/.f64 -1 a) 1/2) (pow.f64 -9 -1/2)) 1) (*.f64 rand (*.f64 1/6 (*.f64 (pow.f64 (/.f64 -1 a) 1/2) (pow.f64 -9 -1/2)))))) (/.f64 (*.f64 (*.f64 rand (*.f64 (pow.f64 (/.f64 -1 a) 1/2) (pow.f64 -9 -1/2))) -1/144) a))) |
(-.f64 (pow.f64 a 2) 1/9) |
(+.f64 (*.f64 a a) -1/9) |
(fma.f64 a a -1/9) |
(-.f64 (+.f64 (*.f64 (*.f64 (-.f64 (pow.f64 a 2) 1/9) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) (pow.f64 a 2)) 1/9) |
(+.f64 (fma.f64 (*.f64 rand (+.f64 (*.f64 a a) -1/9)) (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (*.f64 a a)) -1/9) |
(fma.f64 (fma.f64 a a -1/9) (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) (fma.f64 a a -1/9)) |
(*.f64 (fma.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) 1) (fma.f64 a a -1/9)) |
(-.f64 (+.f64 (*.f64 (*.f64 (-.f64 (pow.f64 a 2) 1/9) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) (pow.f64 a 2)) 1/9) |
(+.f64 (fma.f64 (*.f64 rand (+.f64 (*.f64 a a) -1/9)) (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (*.f64 a a)) -1/9) |
(fma.f64 (fma.f64 a a -1/9) (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) (fma.f64 a a -1/9)) |
(*.f64 (fma.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) 1) (fma.f64 a a -1/9)) |
(-.f64 (+.f64 (*.f64 (*.f64 (-.f64 (pow.f64 a 2) 1/9) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) (pow.f64 a 2)) 1/9) |
(+.f64 (fma.f64 (*.f64 rand (+.f64 (*.f64 a a) -1/9)) (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (*.f64 a a)) -1/9) |
(fma.f64 (fma.f64 a a -1/9) (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) (fma.f64 a a -1/9)) |
(*.f64 (fma.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) 1) (fma.f64 a a -1/9)) |
(*.f64 (*.f64 (-.f64 (pow.f64 a 2) 1/9) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
(*.f64 (+.f64 (*.f64 a a) -1/9) (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))) |
(*.f64 rand (*.f64 (fma.f64 a a -1/9) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))) |
(-.f64 (+.f64 (*.f64 (*.f64 (-.f64 (pow.f64 a 2) 1/9) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) (pow.f64 a 2)) 1/9) |
(+.f64 (fma.f64 (*.f64 rand (+.f64 (*.f64 a a) -1/9)) (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (*.f64 a a)) -1/9) |
(fma.f64 (fma.f64 a a -1/9) (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) (fma.f64 a a -1/9)) |
(*.f64 (fma.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) 1) (fma.f64 a a -1/9)) |
(-.f64 (+.f64 (*.f64 (*.f64 (-.f64 (pow.f64 a 2) 1/9) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) (pow.f64 a 2)) 1/9) |
(+.f64 (fma.f64 (*.f64 rand (+.f64 (*.f64 a a) -1/9)) (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (*.f64 a a)) -1/9) |
(fma.f64 (fma.f64 a a -1/9) (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) (fma.f64 a a -1/9)) |
(*.f64 (fma.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) 1) (fma.f64 a a -1/9)) |
(-.f64 (+.f64 (*.f64 (*.f64 (-.f64 (pow.f64 a 2) 1/9) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) (pow.f64 a 2)) 1/9) |
(+.f64 (fma.f64 (*.f64 rand (+.f64 (*.f64 a a) -1/9)) (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (*.f64 a a)) -1/9) |
(fma.f64 (fma.f64 a a -1/9) (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) (fma.f64 a a -1/9)) |
(*.f64 (fma.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) 1) (fma.f64 a a -1/9)) |
(*.f64 (*.f64 (-.f64 (pow.f64 a 2) 1/9) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
(*.f64 (+.f64 (*.f64 a a) -1/9) (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))) |
(*.f64 rand (*.f64 (fma.f64 a a -1/9) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))) |
(-.f64 (+.f64 (*.f64 (*.f64 (-.f64 (pow.f64 a 2) 1/9) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) (pow.f64 a 2)) 1/9) |
(+.f64 (fma.f64 (*.f64 rand (+.f64 (*.f64 a a) -1/9)) (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (*.f64 a a)) -1/9) |
(fma.f64 (fma.f64 a a -1/9) (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) (fma.f64 a a -1/9)) |
(*.f64 (fma.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) 1) (fma.f64 a a -1/9)) |
(-.f64 (+.f64 (*.f64 (*.f64 (-.f64 (pow.f64 a 2) 1/9) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) (pow.f64 a 2)) 1/9) |
(+.f64 (fma.f64 (*.f64 rand (+.f64 (*.f64 a a) -1/9)) (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (*.f64 a a)) -1/9) |
(fma.f64 (fma.f64 a a -1/9) (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) (fma.f64 a a -1/9)) |
(*.f64 (fma.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) 1) (fma.f64 a a -1/9)) |
(-.f64 (+.f64 (*.f64 (*.f64 (-.f64 (pow.f64 a 2) 1/9) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) (pow.f64 a 2)) 1/9) |
(+.f64 (fma.f64 (*.f64 rand (+.f64 (*.f64 a a) -1/9)) (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (*.f64 a a)) -1/9) |
(fma.f64 (fma.f64 a a -1/9) (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) (fma.f64 a a -1/9)) |
(*.f64 (fma.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) 1) (fma.f64 a a -1/9)) |
Compiled 19983 to 15566 computations (22.1% saved)
12 alts after pruning (10 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 850 | 7 | 857 |
| Fresh | 2 | 3 | 5 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 2 | 4 |
| Total | 855 | 12 | 867 |
| Status | Error | Program |
|---|---|---|
| 38.5b | (/.f64 (fma.f64 a a -1/9) (-.f64 a -1/3)) | |
| 63.0b | -1/3 | |
| ▶ | 43.9b | (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
| 50.1b | (*.f64 (*.f64 rand a) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) | |
| ▶ | 0.4b | (*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand))) |
| 0.4b | (*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (*.f64 (sqrt.f64 a) 3)))) | |
| ✓ | 49.8b | (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
| ▶ | 0.4b | (-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3) |
| ▶ | 46.9b | (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3)))) |
| ✓ | 19.2b | (-.f64 a 1/3) |
| 20.4b | a | |
| ▶ | 1.6b | (*.f64 a (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a))))) |
Compiled 235 to 182 computations (22.6% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (-.f64 a 1/3) | |
| ✓ | 0.0b | (sqrt.f64 (-.f64 a 1/3)) |
| ✓ | 0.3b | (*.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 | |
|---|---|---|---|---|
| 2.0ms | rand | @ | 0 | (*.f64 1/3 (*.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 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
| 1.0ms | a | @ | 0 | (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
| 1.0ms | a | @ | -inf | (*.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 a 1/3) | |
| 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 |
|---|---|---|
| ✓ | 0.1b | (*.f64 a (+.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 37 to 26 computations (29.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | a | @ | 0 | (*.f64 a (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a))))) |
| 1.0ms | a | @ | -inf | (*.f64 a (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a))))) |
| 1.0ms | a | @ | inf | (*.f64 a (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a))))) |
| 0.0ms | rand | @ | inf | (*.f64 a (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a))))) |
| 0.0ms | rand | @ | 0 | (*.f64 a (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a))))) |
| 1× | batch-egg-rewrite |
| 510× | log-prod_binary64 |
| 479× | prod-diff_binary64 |
| 341× | pow-prod-down_binary64 |
| 275× | fma-def_binary64 |
| 260× | pow2_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 15 |
| 1 | 214 | 13 |
| 2 | 2827 | 13 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 a (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a))))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 a (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 a (*.f64 (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) a)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 a 3) (pow.f64 (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 3)) (fma.f64 a a (-.f64 (pow.f64 (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 2) (*.f64 a (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 a a) (pow.f64 (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 2)) (-.f64 a (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (pow.f64 rand 3) (pow.f64 (*.f64 a 9) -3/2) 1) a) (fma.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (*.f64 a 9))) a) (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (fma.f64 (pow.f64 rand 3) (pow.f64 (*.f64 a 9) -3/2) 1)) (fma.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (-.f64 1 (/.f64 (*.f64 rand rand) (*.f64 a 9)))) (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 a)) (exp.f64 (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) (+.f64 1 (expm1.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a 1 (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a 1 (*.f64 (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 a (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 a (*.f64 (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) a) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 (*.f64 rand rand) (*.f64 a 9))) (*.f64 (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) a) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 a) (cbrt.f64 (*.f64 a a)) (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 a) (cbrt.f64 (*.f64 a a)) (*.f64 (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 a a)) (cbrt.f64 a) (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 a a)) (cbrt.f64 a) (*.f64 (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 a a)) (*.f64 (cbrt.f64 a) 1) (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 a a)) (*.f64 (cbrt.f64 a) 1) (*.f64 (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 a a)) (*.f64 (cbrt.f64 a) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (*.f64 (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) a) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (sqrt.f64 a) (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (sqrt.f64 a) (*.f64 (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) 1) (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) 1) (*.f64 (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) 2) (cbrt.f64 (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) (sqrt.f64 (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a rand) (/.f64 1/3 (sqrt.f64 a)) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (cbrt.f64 (/.f64 (*.f64 rand rand) (*.f64 a 9)))) (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (cbrt.f64 (*.f64 a a))) (cbrt.f64 a) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (sqrt.f64 a)) (sqrt.f64 a) a))))) |
| 1× | egg-herbie |
| 6× | fma-def_binary64 |
| 5× | *-commutative_binary64 |
| 3× | associate-*r*_binary64 |
| 3× | associate-*l*_binary64 |
| 1× | +-commutative_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 129 |
| 1 | 13 | 111 |
| 2 | 23 | 111 |
| 3 | 29 | 111 |
| 1× | saturated |
| Inputs |
|---|
a |
a |
a |
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) |
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) |
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) |
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) |
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) |
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) |
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) |
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) |
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) |
| Outputs |
|---|
a |
a |
a |
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) |
(fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) |
(fma.f64 (sqrt.f64 a) (*.f64 1/3 rand) a) |
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) |
(fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) |
(fma.f64 (sqrt.f64 a) (*.f64 1/3 rand) a) |
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) |
(fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) |
(fma.f64 (sqrt.f64 a) (*.f64 1/3 rand) a) |
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) |
(fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) |
(fma.f64 (sqrt.f64 a) (*.f64 1/3 rand) a) |
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) |
(fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) |
(fma.f64 (sqrt.f64 a) (*.f64 1/3 rand) a) |
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) |
(fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) |
(fma.f64 (sqrt.f64 a) (*.f64 1/3 rand) a) |
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) |
(fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) |
(fma.f64 (sqrt.f64 a) (*.f64 1/3 rand) a) |
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) |
(fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) |
(fma.f64 (sqrt.f64 a) (*.f64 1/3 rand) a) |
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) |
(fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) |
(fma.f64 (sqrt.f64 a) (*.f64 1/3 rand) a) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (-.f64 a 1/3) | |
| ✓ | 0.1b | (*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand))) |
| ✓ | 0.2b | (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand) |
| ✓ | 0.4b | (/.f64 1/3 (sqrt.f64 a)) |
Compiled 41 to 25 computations (39% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | rand | @ | -inf | (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand) |
| 1.0ms | a | @ | -inf | (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand) |
| 1.0ms | a | @ | -inf | (/.f64 1/3 (sqrt.f64 a)) |
| 1.0ms | a | @ | -inf | (*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand))) |
| 1.0ms | a | @ | 0 | (/.f64 1/3 (sqrt.f64 a)) |
| 1× | batch-egg-rewrite |
| 628× | prod-diff_binary64 |
| 559× | log-prod_binary64 |
| 395× | fma-def_binary64 |
| 306× | pow2_binary64 |
| 213× | pow1/3_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 33 |
| 1 | 246 | 31 |
| 2 | 3368 | 31 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1/3 (sqrt.f64 a)) |
(*.f64 (/.f64 1/3 (sqrt.f64 a)) rand) |
(*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (/.f64 1/9 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 1/9 a)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 1/9 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 1/9 a))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 1/9 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 1/9 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 (sqrt.f64 (/.f64 1/9 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 1/9 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/9 a))) (cbrt.f64 (/.f64 1/9 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/9 a)) (cbrt.f64 (sqrt.f64 (/.f64 1/9 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 (/.f64 1/9 a))) (sqrt.f64 (sqrt.f64 (/.f64 1/9 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/3 (/.f64 1 (neg.f64 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a -1/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1/9 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (/.f64 1/9 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/9 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 1/9 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 a) 3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (sqrt.f64 a) 3) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/9 a))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 1/9 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 1/9 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 1/9 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 1/9 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 1/9 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 1/9 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 1/9 a))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 rand) (sqrt.f64 (/.f64 1/9 a)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 rand) (sqrt.f64 (/.f64 1/9 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 rand) (sqrt.f64 (/.f64 1/9 a))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 rand) (sqrt.f64 (/.f64 1/9 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand 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 rand (*.f64 (sqrt.f64 a) 3))))) (#(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 -1/3 rand) (neg.f64 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 rand -1/3) (neg.f64 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand) 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 (/.f64 1/9 a) (*.f64 rand rand)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 rand) (sqrt.f64 (/.f64 1/9 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand 1)) (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand 1)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand 1)) 2) (cbrt.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand 1)) (sqrt.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand) 3)) (/.f64 1 (fma.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand) (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand -1) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (*.f64 (/.f64 1/9 a) (*.f64 rand rand))) (/.f64 1 (-.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand))) -1))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 a (+.f64 -1/3 (*.f64 (sqrt.f64 (/.f64 1/9 a)) (*.f64 rand (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 (/.f64 1/9 a)) (*.f64 rand (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 a -1/3) (*.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) (*.f64 rand (+.f64 a -1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) (*.f64 rand (+.f64 a -1/3))) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand 1)) (*.f64 -1/3 (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand 1) a) (*.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand 1) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand 1)) (+.f64 a -1/3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand 1)) (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand 1)) (+.f64 a -1/3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand 1)) (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 a (-.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1/9 a)) (*.f64 rand (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) (+.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand) 3))) (*.f64 (fma.f64 a a (fma.f64 1/3 a 1/9)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand) (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand -1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 a a -1/9) (+.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand) 3))) (*.f64 (+.f64 1/3 a) (fma.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand) (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand -1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) (-.f64 1 (*.f64 (/.f64 1/9 a) (*.f64 rand rand)))) (*.f64 (fma.f64 a a (fma.f64 1/3 a 1/9)) (-.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 a a -1/9) (-.f64 1 (*.f64 (/.f64 1/9 a) (*.f64 rand rand)))) (*.f64 (+.f64 1/3 a) (-.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand) 3)) (+.f64 (pow.f64 a 3) -1/27)) (*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand) (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand -1) 1) (fma.f64 a a (fma.f64 1/3 a 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 (/.f64 1/9 a) (*.f64 rand rand))) (+.f64 (pow.f64 a 3) -1/27)) (*.f64 (-.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand)) (fma.f64 a a (fma.f64 1/3 a 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand) 3)) (fma.f64 a a -1/9)) (*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand) (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand -1) 1) (+.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 (/.f64 1/9 a) (*.f64 rand rand))) (fma.f64 a a -1/9)) (*.f64 (-.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand)) (+.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) (*.f64 rand (+.f64 a -1/3))) 3)) (+.f64 (pow.f64 (+.f64 a -1/3) 2) (-.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) (*.f64 rand (+.f64 a -1/3))) 2) (*.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 (/.f64 1/9 a)) (*.f64 rand (+.f64 a -1/3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 a -1/3) 2) (pow.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) (*.f64 rand (+.f64 a -1/3))) 2)) (-.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 (/.f64 1/9 a)) (*.f64 rand (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand 1)) (fma.f64 a a (fma.f64 1/3 a 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 a a -1/9) (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand 1)) (+.f64 1/3 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand) 3)) (+.f64 a -1/3)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand) (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 (/.f64 1/9 a) (*.f64 rand rand))) (+.f64 a -1/3)) (-.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 a -1/3) (+.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand) 3))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand) (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 a -1/3) (-.f64 1 (*.f64 (/.f64 1/9 a) (*.f64 rand rand)))) (-.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand 1) (+.f64 (pow.f64 a 3) -1/27)) (fma.f64 a a (fma.f64 1/3 a 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand 1) (fma.f64 a a -1/9)) (+.f64 1/3 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand 1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand 1) 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) (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand 1)) (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 a -1/3))) (exp.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) (*.f64 rand (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) (*.f64 rand (+.f64 a -1/3)))) (exp.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) (*.f64 rand (+.f64 a -1/3)))) (+.f64 1 (expm1.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand 1) 3) (pow.f64 (+.f64 a -1/3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a 1 (+.f64 -1/3 (*.f64 (sqrt.f64 (/.f64 1/9 a)) (*.f64 rand (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a 1 (neg.f64 (-.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1/9 a)) (*.f64 rand (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand 1) (*.f64 -1/3 (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (sqrt.f64 a) (+.f64 -1/3 (*.f64 (sqrt.f64 (/.f64 1/9 a)) (*.f64 rand (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (sqrt.f64 a) (neg.f64 (-.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1/9 a)) (*.f64 rand (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 1/9 a)) (*.f64 rand (+.f64 a -1/3)) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 rand (*.f64 (sqrt.f64 (/.f64 1/9 a)) (+.f64 a -1/3)) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand) (+.f64 a -1/3) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 a -1/3) 1 (*.f64 (sqrt.f64 (/.f64 1/9 a)) (*.f64 rand (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 a -1/3) 1 (*.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) (*.f64 rand (+.f64 a -1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 a (+.f64 -1/3 (*.f64 (sqrt.f64 (/.f64 1/9 a)) (*.f64 rand (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 a (neg.f64 (-.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1/9 a)) (*.f64 rand (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 a -1/3) (*.f64 (sqrt.f64 (/.f64 1/9 a)) (*.f64 rand (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 a -1/3) (*.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) (*.f64 rand (+.f64 a -1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 a)) (*.f64 rand (+.f64 a -1/3))) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand 1) a (*.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand 1) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 a -1/3)) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (*.f64 (sqrt.f64 (/.f64 1/9 a)) (*.f64 rand (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 a -1/3)) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (*.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) (*.f64 rand (+.f64 a -1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a -1/3)) (*.f64 (sqrt.f64 (/.f64 1/9 a)) (*.f64 rand (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a -1/3)) (*.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) (*.f64 rand (+.f64 a -1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (*.f64 (cbrt.f64 (+.f64 a -1/3)) 1) (*.f64 (sqrt.f64 (/.f64 1/9 a)) (*.f64 rand (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (*.f64 (cbrt.f64 (+.f64 a -1/3)) 1) (*.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) (*.f64 rand (+.f64 a -1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (*.f64 (cbrt.f64 (+.f64 a -1/3)) (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand)) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 a) (pow.f64 (cbrt.f64 a) 2) (+.f64 -1/3 (*.f64 (sqrt.f64 (/.f64 1/9 a)) (*.f64 rand (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 a) (pow.f64 (cbrt.f64 a) 2) (neg.f64 (-.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1/9 a)) (*.f64 rand (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 a) (*.f64 (cbrt.f64 (sqrt.f64 a)) (sqrt.f64 a)) (+.f64 -1/3 (*.f64 (sqrt.f64 (/.f64 1/9 a)) (*.f64 rand (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 a) (*.f64 (cbrt.f64 (sqrt.f64 a)) (sqrt.f64 a)) (neg.f64 (-.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1/9 a)) (*.f64 rand (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (+.f64 -1/3 (*.f64 (sqrt.f64 (/.f64 1/9 a)) (*.f64 rand (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (neg.f64 (-.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1/9 a)) (*.f64 rand (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (/.f64 1/9 a) (*.f64 rand rand))) (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand)) (+.f64 a -1/3)) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)) (*.f64 (sqrt.f64 (/.f64 1/9 a)) (*.f64 rand (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)) (*.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) (*.f64 rand (+.f64 a -1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) 1) (*.f64 (sqrt.f64 (/.f64 1/9 a)) (*.f64 rand (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) 1) (*.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) (*.f64 rand (+.f64 a -1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand)) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand)) (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand)) (+.f64 a -1/3)) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 a 1/4) (*.f64 (pow.f64 a 1/4) (sqrt.f64 a)) (+.f64 -1/3 (*.f64 (sqrt.f64 (/.f64 1/9 a)) (*.f64 rand (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 a 1/4) (*.f64 (pow.f64 a 1/4) (sqrt.f64 a)) (neg.f64 (-.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1/9 a)) (*.f64 rand (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 1 (fma.f64 a a (fma.f64 1/3 a 1/9))) (*.f64 (sqrt.f64 (/.f64 1/9 a)) (*.f64 rand (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 1 (fma.f64 a a (fma.f64 1/3 a 1/9))) (*.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) (*.f64 rand (+.f64 a -1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 a a -1/9) (/.f64 1 (+.f64 1/3 a)) (*.f64 (sqrt.f64 (/.f64 1/9 a)) (*.f64 rand (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 a a -1/9) (/.f64 1 (+.f64 1/3 a)) (*.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) (*.f64 rand (+.f64 a -1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 a 1/4) 3) (pow.f64 a 1/4) (+.f64 -1/3 (*.f64 (sqrt.f64 (/.f64 1/9 a)) (*.f64 rand (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 a 1/4) 3) (pow.f64 a 1/4) (neg.f64 (-.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1/9 a)) (*.f64 rand (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) (*.f64 rand (+.f64 a -1/3)))) 2) (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) (*.f64 rand (+.f64 a -1/3)))) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) (*.f64 rand (+.f64 a -1/3)))) (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) (*.f64 rand (+.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 (sqrt.f64 (/.f64 1/9 a)) rand))) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand))) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand)) (sqrt.f64 (+.f64 a -1/3))) (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand)) (sqrt.f64 (+.f64 a -1/3))) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 a -1/3) (sqrt.f64 (/.f64 1/9 a))) rand (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 (/.f64 1/9 a)) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 a -1/3) (cbrt.f64 (*.f64 (/.f64 1/9 a) (*.f64 rand rand)))) (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand)) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 a -1/3) (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand))) (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand)) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (cbrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand) (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 (sqrt.f64 a) (cbrt.f64 a)) (cbrt.f64 (sqrt.f64 a)) (+.f64 -1/3 (*.f64 (sqrt.f64 (/.f64 1/9 a)) (*.f64 rand (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 a) (cbrt.f64 a)) (cbrt.f64 (sqrt.f64 a)) (neg.f64 (-.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1/9 a)) (*.f64 rand (+.f64 a -1/3)))))))))) |
| 1× | egg-herbie |
| 2343× | fma-neg_binary64 |
| 514× | fma-def_binary64 |
| 279× | distribute-rgt-in_binary64 |
| 263× | distribute-rgt-neg-in_binary64 |
| 230× | unsub-neg_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 402 |
| 1 | 35 | 384 |
| 2 | 76 | 384 |
| 3 | 211 | 362 |
| 4 | 559 | 353 |
| 5 | 866 | 353 |
| 6 | 1453 | 353 |
| 7 | 2785 | 353 |
| 8 | 4744 | 353 |
| 9 | 5181 | 353 |
| 10 | 5286 | 353 |
| 11 | 5298 | 353 |
| 12 | 5298 | 353 |
| 13 | 5302 | 353 |
| 14 | 6939 | 353 |
| 15 | 6939 | 353 |
| 16 | 6939 | 353 |
| 17 | 6939 | 353 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
a |
a |
(-.f64 a 1/3) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3) |
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a)))) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3) |
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a)))) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3) |
| Outputs |
|---|
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) |
a |
a |
(-.f64 a 1/3) |
(+.f64 a -1/3) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3) |
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3)) |
(+.f64 (fma.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 a)) a) -1/3) |
(+.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) a) -1/3) |
(fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (fma.f64 1/3 a -1/9)) (+.f64 a -1/3)) |
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1)) |
(*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 1/3 rand) 1)) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3) |
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3)) |
(+.f64 (fma.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 a)) a) -1/3) |
(+.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) a) -1/3) |
(fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (fma.f64 1/3 a -1/9)) (+.f64 a -1/3)) |
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1)) |
(*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 1/3 rand) 1)) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3) |
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3)) |
(+.f64 (fma.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 a)) a) -1/3) |
(+.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) a) -1/3) |
(fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (fma.f64 1/3 a -1/9)) (+.f64 a -1/3)) |
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1)) |
(*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 1/3 rand) 1)) |
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a)))) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) |
(*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (fma.f64 1/3 a -1/9))) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3) |
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3)) |
(+.f64 (fma.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 a)) a) -1/3) |
(+.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) a) -1/3) |
(fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (fma.f64 1/3 a -1/9)) (+.f64 a -1/3)) |
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1)) |
(*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 1/3 rand) 1)) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3) |
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3)) |
(+.f64 (fma.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 a)) a) -1/3) |
(+.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) a) -1/3) |
(fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (fma.f64 1/3 a -1/9)) (+.f64 a -1/3)) |
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1)) |
(*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 1/3 rand) 1)) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3) |
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3)) |
(+.f64 (fma.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 a)) a) -1/3) |
(+.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) a) -1/3) |
(fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (fma.f64 1/3 a -1/9)) (+.f64 a -1/3)) |
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1)) |
(*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 1/3 rand) 1)) |
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a)))) |
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) |
(*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (fma.f64 1/3 a -1/9))) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3) |
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3)) |
(+.f64 (fma.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 a)) a) -1/3) |
(+.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) a) -1/3) |
(fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (fma.f64 1/3 a -1/9)) (+.f64 a -1/3)) |
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1)) |
(*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 1/3 rand) 1)) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3) |
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3)) |
(+.f64 (fma.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 a)) a) -1/3) |
(+.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) a) -1/3) |
(fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (fma.f64 1/3 a -1/9)) (+.f64 a -1/3)) |
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1)) |
(*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 1/3 rand) 1)) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3) |
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3)) |
(+.f64 (fma.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 a)) a) -1/3) |
(+.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) a) -1/3) |
(fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (fma.f64 1/3 a -1/9)) (+.f64 a -1/3)) |
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1)) |
(*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 1/3 rand) 1)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (pow.f64 a 3) -1/27) |
| ✓ | 0.0b | (+.f64 1/9 (*.f64 a 1/3)) |
| ✓ | 0.4b | (*.f64 a 1/3) |
| ✓ | 32.8b | (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3)))) |
Compiled 45 to 33 computations (26.7% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | a | @ | 0 | (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3)))) |
| 1.0ms | a | @ | -inf | (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3)))) |
| 1.0ms | a | @ | inf | (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3)))) |
| 0.0ms | a | @ | inf | (*.f64 a 1/3) |
| 0.0ms | a | @ | -inf | (*.f64 a 1/3) |
| 1× | batch-egg-rewrite |
| 547× | log-prod_binary64 |
| 332× | pow-prod-down_binary64 |
| 325× | pow2_binary64 |
| 313× | prod-diff_binary64 |
| 234× | fma-def_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 38 |
| 1 | 274 | 34 |
| 2 | 3387 | 34 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3)))) |
(*.f64 a 1/3) |
(+.f64 1/9 (*.f64 a 1/3)) |
(+.f64 (pow.f64 a 3) -1/27) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.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 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (fma.f64 a 1/3 1/9))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.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 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (fma.f64 a 1/3 1/9)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.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 (exp.f64 (log1p.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (fma.f64 a 1/3 1/9))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 1 (fma.f64 a a (fma.f64 a 1/3 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (fma.f64 a 1/3 1/9))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.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 (cbrt.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (fma.f64 a 1/3 1/9)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (fma.f64 a 1/3 1/9)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (fma.f64 a 1/3 1/9)))) 2) (cbrt.f64 (/.f64 (+.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 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27)) 2) (*.f64 (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (/.f64 1 (fma.f64 a a (fma.f64 a 1/3 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (fma.f64 a 1/3 1/9)))) (sqrt.f64 (/.f64 (+.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 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (*.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (/.f64 1 (fma.f64 a a (fma.f64 a 1/3 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/27 (neg.f64 (pow.f64 a 3))) (/.f64 1 (neg.f64 (fma.f64 a a (fma.f64 a 1/3 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 a a (fma.f64 a 1/3 1/9))) (+.f64 (pow.f64 a 3) -1/27))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27)) 2) 1) (/.f64 (cbrt.f64 (+.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 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) 1) (/.f64 (sqrt.f64 (+.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 (pow.f64 (cbrt.f64 (fma.f64 a a (fma.f64 a 1/3 1/9))) -2) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (cbrt.f64 (fma.f64 a a (fma.f64 a 1/3 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27)) 2) (cbrt.f64 (pow.f64 (fma.f64 a a (fma.f64 a 1/3 1/9)) 2))) (cbrt.f64 (/.f64 (+.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 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (cbrt.f64 (pow.f64 (fma.f64 a a (fma.f64 a 1/3 1/9)) 2))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (cbrt.f64 (fma.f64 a a (fma.f64 a 1/3 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 a a (fma.f64 a 1/3 1/9)) -1/2) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (hypot.f64 a (sqrt.f64 (fma.f64 a 1/3 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27)) 2) (hypot.f64 a (sqrt.f64 (fma.f64 a 1/3 1/9)))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (hypot.f64 a (sqrt.f64 (fma.f64 a 1/3 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (fma.f64 a 1/3 1/9))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 a a (fma.f64 a 1/3 1/9)) (+.f64 (pow.f64 a 3) -1/27)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (fma.f64 a 1/3 1/9))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (fma.f64 a 1/3 1/9)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (fma.f64 a 1/3 1/9)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 a a (fma.f64 a 1/3 1/9)) (+.f64 (pow.f64 a 3) -1/27)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 a 3) -1/27) 3) (pow.f64 (fma.f64 a a (fma.f64 a 1/3 1/9)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (fma.f64 a a (fma.f64 a 1/3 1/9)) (+.f64 (pow.f64 a 3) -1/27)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (neg.f64 (fma.f64 a a (fma.f64 a 1/3 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 a a (fma.f64 a 1/3 1/9)) (+.f64 (pow.f64 a 3) -1/27)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.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 log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.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 cbrt.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (fma.f64 a 1/3 1/9))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 a 3) -1/27) 3) (pow.f64 (fma.f64 a a (fma.f64 a 1/3 1/9)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.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 log1p.f64 (expm1.f64 (/.f64 (+.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 exp.f64 (log.f64 (/.f64 (+.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 exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (fma.f64 a 1/3 1/9)))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 a))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 a)))) (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/9 (*.f64 a a)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 a 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 a 3) 1/27) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/9 (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (cbrt.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 a 3) 1/27))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a 1/3)) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 a 1/3 1/9))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/81 (+.f64 1/9 (*.f64 -1/3 a))) (/.f64 (*.f64 1/9 (*.f64 a a)) (+.f64 1/9 (*.f64 -1/3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 a 1/3 1/9) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 a 1/3 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 a 1/3 1/9)) (pow.f64 (cbrt.f64 (fma.f64 a 1/3 1/9)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 a 1/3 1/9)) 2) (cbrt.f64 (fma.f64 a 1/3 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 a 1/3 1/9)) (sqrt.f64 (fma.f64 a 1/3 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 a 3) 1/27 1/729) (/.f64 1 (fma.f64 (*.f64 a 1/3) (fma.f64 a 1/3 -1/9) 1/81)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/81 (*.f64 1/9 (*.f64 a a))) (/.f64 1 (+.f64 1/9 (*.f64 -1/3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 a 1/3) (fma.f64 a 1/3 -1/9) 1/81) (fma.f64 (pow.f64 a 3) 1/27 1/729)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1/9 (*.f64 -1/3 a)) (-.f64 1/81 (*.f64 1/9 (*.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 a 3) 1/27 1/729) (fma.f64 (*.f64 a 1/3) (fma.f64 a 1/3 -1/9) 1/81))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 a 3) 1/27 1/729) (fma.f64 1/9 (*.f64 a a) (-.f64 1/81 (*.f64 1/27 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/81 (*.f64 1/9 (*.f64 a a))) (+.f64 1/9 (*.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 a 3) 1/27 1/729)) (neg.f64 (fma.f64 (*.f64 a 1/3) (fma.f64 a 1/3 -1/9) 1/81)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1/81 (*.f64 1/9 (*.f64 a a)))) (neg.f64 (+.f64 1/9 (*.f64 -1/3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/9 (*.f64 a a) -1/81) (fma.f64 a 1/3 -1/9))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 a 1/3 1/9) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a 1/3 1/9) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a 1/3 1/9) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 a 1/3 1/9)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 a 1/3 1/9)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 a 1/3) (fma.f64 a 1/3 -1/9) 1/81) (fma.f64 (pow.f64 a 3) 1/27 1/729)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1/9 (*.f64 -1/3 a)) (-.f64 1/81 (*.f64 1/9 (*.f64 a a)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 a 1/3 1/9) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 a 1/3 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 a 1/3 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 a 1/3 1/9) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 a 1/3 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 a 1/3 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 a 1/3 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 a 1/3 1/9)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a 1/3 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/3 a 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a 1/3) 1 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 a 1/3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) 1/3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 a 1/3)) (pow.f64 (cbrt.f64 (*.f64 a 1/3)) 2) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 a 1/3)) 2) (cbrt.f64 (*.f64 a 1/3)) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) 1/3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 a 1/3)) (sqrt.f64 (*.f64 a 1/3)) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 (sqrt.f64 a)) (sqrt.f64 a) 1/9))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (pow.f64 a 3) -1/27))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 a 6) (+.f64 (pow.f64 a 3) 1/27)) (/.f64 1/729 (+.f64 (pow.f64 a 3) 1/27)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 a 3) -1/27) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (pow.f64 a 3) -1/27))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27)) 2) (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1/19683 (pow.f64 a 9)) (/.f64 1 (+.f64 (pow.f64 a 6) (-.f64 1/729 (*.f64 (pow.f64 a 3) -1/27)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 a 6) -1/729) (/.f64 1 (+.f64 (pow.f64 a 3) 1/27)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 a 6) (-.f64 1/729 (*.f64 (pow.f64 a 3) -1/27))) (+.f64 -1/19683 (pow.f64 a 9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 a 3) 1/27) (+.f64 (pow.f64 a 6) -1/729)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1/19683 (pow.f64 a 9)) (+.f64 (pow.f64 a 6) (-.f64 1/729 (*.f64 (pow.f64 a 3) -1/27))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1/19683 (pow.f64 a 9)) (+.f64 1/729 (-.f64 (pow.f64 a 6) (*.f64 (pow.f64 a 3) -1/27))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 a 6) -1/729) (+.f64 (pow.f64 a 3) 1/27))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -1/19683 (pow.f64 a 9))) (neg.f64 (+.f64 (pow.f64 a 6) (-.f64 1/729 (*.f64 (pow.f64 a 3) -1/27)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 a 6) -1/729)) (neg.f64 (+.f64 (pow.f64 a 3) 1/27)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/729 (pow.f64 a 6)) (-.f64 -1/27 (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (pow.f64 a 3) -1/27) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (pow.f64 a 3) -1/27) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (pow.f64 a 3) -1/27) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 a 6) (-.f64 1/729 (*.f64 (pow.f64 a 3) -1/27))) (+.f64 -1/19683 (pow.f64 a 9))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 a 3) 1/27) (+.f64 (pow.f64 a 6) -1/729)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (pow.f64 a 3) -1/27) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (pow.f64 a 3) -1/27)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 a 3) -1/27))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (pow.f64 a 3) -1/27) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (pow.f64 a 3) -1/27)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (pow.f64 a 3) -1/27)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (pow.f64 a 3) -1/27)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 a 3) -1/27)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a (*.f64 a a) -1/27)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 a 3) 1 -1/27)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 a 3) -1/27)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a a) a -1/27)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) (*.f64 a a)) -1/27)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (*.f64 a a)) -1/27)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 a 3/2) (pow.f64 a 3/2) -1/27)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 a a) 1) a -1/27)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 a (cbrt.f64 a)) 2) (cbrt.f64 a) -1/27)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 a a) (sqrt.f64 a)) (sqrt.f64 a) -1/27))))) |
| 1× | egg-herbie |
| 1274× | sqr-pow_binary64 |
| 676× | cube-prod_binary64 |
| 666× | pow-sqr_binary64 |
| 556× | fabs-mul_binary64 |
| 374× | unpow3_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 231 |
| 1 | 27 | 213 |
| 2 | 39 | 213 |
| 3 | 48 | 213 |
| 4 | 72 | 213 |
| 5 | 167 | 213 |
| 6 | 539 | 213 |
| 7 | 1213 | 213 |
| 8 | 1312 | 213 |
| 9 | 1445 | 213 |
| 10 | 1603 | 213 |
| 11 | 1839 | 213 |
| 12 | 2161 | 213 |
| 13 | 2582 | 213 |
| 14 | 3083 | 213 |
| 15 | 3682 | 213 |
| 16 | 4402 | 213 |
| 17 | 4721 | 213 |
| 18 | 5007 | 213 |
| 19 | 5231 | 213 |
| 20 | 5409 | 213 |
| 21 | 5489 | 213 |
| 22 | 6429 | 213 |
| 23 | 7403 | 213 |
| 24 | 7869 | 213 |
| 1× | node limit |
| Inputs |
|---|
-1/3 |
(-.f64 a 1/3) |
(-.f64 a 1/3) |
(-.f64 a 1/3) |
a |
(-.f64 a 1/3) |
(-.f64 a 1/3) |
(-.f64 a 1/3) |
a |
(-.f64 a 1/3) |
(-.f64 a 1/3) |
(-.f64 a 1/3) |
(*.f64 1/3 a) |
(*.f64 1/3 a) |
(*.f64 1/3 a) |
(*.f64 1/3 a) |
(*.f64 1/3 a) |
(*.f64 1/3 a) |
(*.f64 1/3 a) |
(*.f64 1/3 a) |
(*.f64 1/3 a) |
(*.f64 1/3 a) |
(*.f64 1/3 a) |
(*.f64 1/3 a) |
1/9 |
(+.f64 1/9 (*.f64 1/3 a)) |
(+.f64 1/9 (*.f64 1/3 a)) |
(+.f64 1/9 (*.f64 1/3 a)) |
(*.f64 1/3 a) |
(+.f64 1/9 (*.f64 1/3 a)) |
(+.f64 1/9 (*.f64 1/3 a)) |
(+.f64 1/9 (*.f64 1/3 a)) |
(*.f64 1/3 a) |
(+.f64 1/9 (*.f64 1/3 a)) |
(+.f64 1/9 (*.f64 1/3 a)) |
(+.f64 1/9 (*.f64 1/3 a)) |
-1/27 |
(-.f64 (pow.f64 a 3) 1/27) |
(-.f64 (pow.f64 a 3) 1/27) |
(-.f64 (pow.f64 a 3) 1/27) |
(pow.f64 a 3) |
(-.f64 (pow.f64 a 3) 1/27) |
(-.f64 (pow.f64 a 3) 1/27) |
(-.f64 (pow.f64 a 3) 1/27) |
(pow.f64 a 3) |
(-.f64 (pow.f64 a 3) 1/27) |
(-.f64 (pow.f64 a 3) 1/27) |
(-.f64 (pow.f64 a 3) 1/27) |
| Outputs |
|---|
-1/3 |
(-.f64 a 1/3) |
(+.f64 a -1/3) |
(-.f64 a 1/3) |
(+.f64 a -1/3) |
(-.f64 a 1/3) |
(+.f64 a -1/3) |
a |
(-.f64 a 1/3) |
(+.f64 a -1/3) |
(-.f64 a 1/3) |
(+.f64 a -1/3) |
(-.f64 a 1/3) |
(+.f64 a -1/3) |
a |
(-.f64 a 1/3) |
(+.f64 a -1/3) |
(-.f64 a 1/3) |
(+.f64 a -1/3) |
(-.f64 a 1/3) |
(+.f64 a -1/3) |
(*.f64 1/3 a) |
(*.f64 a 1/3) |
(*.f64 1/3 a) |
(*.f64 a 1/3) |
(*.f64 1/3 a) |
(*.f64 a 1/3) |
(*.f64 1/3 a) |
(*.f64 a 1/3) |
(*.f64 1/3 a) |
(*.f64 a 1/3) |
(*.f64 1/3 a) |
(*.f64 a 1/3) |
(*.f64 1/3 a) |
(*.f64 a 1/3) |
(*.f64 1/3 a) |
(*.f64 a 1/3) |
(*.f64 1/3 a) |
(*.f64 a 1/3) |
(*.f64 1/3 a) |
(*.f64 a 1/3) |
(*.f64 1/3 a) |
(*.f64 a 1/3) |
(*.f64 1/3 a) |
(*.f64 a 1/3) |
1/9 |
(+.f64 1/9 (*.f64 1/3 a)) |
(+.f64 (*.f64 a 1/3) 1/9) |
(fma.f64 a 1/3 1/9) |
(+.f64 1/9 (*.f64 1/3 a)) |
(+.f64 (*.f64 a 1/3) 1/9) |
(fma.f64 a 1/3 1/9) |
(+.f64 1/9 (*.f64 1/3 a)) |
(+.f64 (*.f64 a 1/3) 1/9) |
(fma.f64 a 1/3 1/9) |
(*.f64 1/3 a) |
(*.f64 a 1/3) |
(+.f64 1/9 (*.f64 1/3 a)) |
(+.f64 (*.f64 a 1/3) 1/9) |
(fma.f64 a 1/3 1/9) |
(+.f64 1/9 (*.f64 1/3 a)) |
(+.f64 (*.f64 a 1/3) 1/9) |
(fma.f64 a 1/3 1/9) |
(+.f64 1/9 (*.f64 1/3 a)) |
(+.f64 (*.f64 a 1/3) 1/9) |
(fma.f64 a 1/3 1/9) |
(*.f64 1/3 a) |
(*.f64 a 1/3) |
(+.f64 1/9 (*.f64 1/3 a)) |
(+.f64 (*.f64 a 1/3) 1/9) |
(fma.f64 a 1/3 1/9) |
(+.f64 1/9 (*.f64 1/3 a)) |
(+.f64 (*.f64 a 1/3) 1/9) |
(fma.f64 a 1/3 1/9) |
(+.f64 1/9 (*.f64 1/3 a)) |
(+.f64 (*.f64 a 1/3) 1/9) |
(fma.f64 a 1/3 1/9) |
-1/27 |
(-.f64 (pow.f64 a 3) 1/27) |
(+.f64 (pow.f64 a 3) -1/27) |
(-.f64 (pow.f64 a 3) 1/27) |
(+.f64 (pow.f64 a 3) -1/27) |
(-.f64 (pow.f64 a 3) 1/27) |
(+.f64 (pow.f64 a 3) -1/27) |
(pow.f64 a 3) |
(-.f64 (pow.f64 a 3) 1/27) |
(+.f64 (pow.f64 a 3) -1/27) |
(-.f64 (pow.f64 a 3) 1/27) |
(+.f64 (pow.f64 a 3) -1/27) |
(-.f64 (pow.f64 a 3) 1/27) |
(+.f64 (pow.f64 a 3) -1/27) |
(pow.f64 a 3) |
(-.f64 (pow.f64 a 3) 1/27) |
(+.f64 (pow.f64 a 3) -1/27) |
(-.f64 (pow.f64 a 3) 1/27) |
(+.f64 (pow.f64 a 3) -1/27) |
(-.f64 (pow.f64 a 3) 1/27) |
(+.f64 (pow.f64 a 3) -1/27) |
Compiled 11956 to 8680 computations (27.4% saved)
13 alts after pruning (10 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 694 | 8 | 702 |
| Fresh | 3 | 2 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 4 | 2 | 6 |
| Total | 701 | 13 | 714 |
| Status | Error | Program |
|---|---|---|
| ▶ | 38.5b | (/.f64 (fma.f64 a a -1/9) (-.f64 a -1/3)) |
| ✓ | 43.9b | (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
| ✓ | 19.2b | (-.f64 a 1/3) |
| ▶ | 0.7b | (-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) a) 1/3) |
| ▶ | 50.1b | (*.f64 (*.f64 rand a) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
| ▶ | 44.2b | (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
| 1.9b | (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) | |
| 60.1b | (sqrt.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))) | |
| ▶ | 1.6b | (*.f64 a (+.f64 1 (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand))) |
| 1.6b | (*.f64 a (+.f64 1 (/.f64 rand (*.f64 (sqrt.f64 a) 3)))) | |
| ✓ | 46.9b | (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3)))) |
| 20.4b | a | |
| 63.0b | -1/3 |
Compiled 217 to 163 computations (24.9% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) a) |
| ✓ | 0.0b | (-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) a) 1/3) |
| ✓ | 0.3b | (*.f64 (sqrt.f64 a) rand) |
| ✓ | 0.5b | (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
Compiled 35 to 15 computations (57.1% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | rand | @ | 0 | (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
| 1.0ms | a | @ | -inf | (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
| 1.0ms | rand | @ | inf | (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
| 1.0ms | a | @ | 0 | (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
| 1.0ms | a | @ | -inf | (*.f64 (sqrt.f64 a) rand) |
| 1× | batch-egg-rewrite |
| 496× | fma-def_binary64 |
| 494× | log-prod_binary64 |
| 367× | exp-prod_binary64 |
| 358× | pow-prod-down_binary64 |
| 270× | fma-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 38 |
| 1 | 207 | 38 |
| 2 | 2857 | 38 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
(*.f64 (sqrt.f64 a) rand) |
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) a) 1/3) |
(+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) a) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 a))) rand)) 2)) (log.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 a))) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 a))) rand))) (log.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 a))) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/9 (*.f64 a (*.f64 rand rand))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/27 (pow.f64 (*.f64 (sqrt.f64 a) rand) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))) 2)) (cbrt.f64 (log.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))))) (sqrt.f64 (log.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/9 (*.f64 a (*.f64 rand rand))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 a))) rand))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1/27 (pow.f64 (*.f64 (sqrt.f64 a) rand) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) 3) 1/3)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 a) rand))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 a))) rand) 2)) (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 rand) (sqrt.f64 a)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 rand) (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 a) rand))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 a) rand) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (*.f64 rand rand)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 a) rand) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 a) rand)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 a) rand)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (sqrt.f64 a) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 a) rand))) 2)) (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 a) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 a) rand)))) (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 a) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 a (*.f64 rand rand)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 rand) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 a) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 a) rand) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 a) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 a) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 a) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 a) rand)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (sqrt.f64 a) rand))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 a) rand))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sqrt.f64 a) rand))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 a) rand)) 1) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) (*.f64 (+.f64 a -1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 a -1/3) (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))) (pow.f64 (cbrt.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))) 2) (cbrt.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))) (sqrt.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 3) -1/27) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2) (fma.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2) -1/9) (/.f64 1 (+.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2) (fma.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 1/9)) (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 3) -1/27)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)) (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2) -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 3) -1/27) (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2) (fma.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 3) -1/27) (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2) (-.f64 1/9 (*.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2) -1/9) (+.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 3) -1/27)) (neg.f64 (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2) (fma.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2) -1/9)) (neg.f64 (+.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/27 (pow.f64 (*.f64 (sqrt.f64 a) rand) 3) (pow.f64 (+.f64 a -1/3) 3)) (fma.f64 1/9 (*.f64 a (*.f64 rand rand)) (-.f64 (pow.f64 (+.f64 a -1/3) 2) (*.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/9 (*.f64 a (*.f64 rand rand)) (neg.f64 (pow.f64 (+.f64 a -1/3) 2))) (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2) (fma.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 1/9)) (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 3) -1/27)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)) (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2) -1/9)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))) 2)) (cbrt.f64 (log.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))) (sqrt.f64 (log.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))) (exp.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (+.f64 a -1/3)) (+.f64 1 (expm1.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) (*.f64 (+.f64 a -1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a 1 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (sqrt.f64 a) (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (*.f64 rand 1/3) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (*.f64 rand 1/3) (*.f64 (+.f64 a -1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) (*.f64 (+.f64 a -1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 a) rand) 1/3 (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 a) rand) 1/3 (*.f64 (+.f64 a -1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) 1 (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) 1 (*.f64 (+.f64 a -1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 1 -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 a (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) (*.f64 (+.f64 a -1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 a -1/3) (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)) (pow.f64 (cbrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)) 2) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)) 2) (cbrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 a (*.f64 rand rand))) (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 a) rand)) 1/3) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 a (*.f64 rand rand))) (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 a) rand)) 1/3) (*.f64 (+.f64 a -1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 a) (pow.f64 (cbrt.f64 a) 2) (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) (cbrt.f64 (*.f64 1/9 (*.f64 a (*.f64 rand rand)))) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) (cbrt.f64 (*.f64 1/9 (*.f64 a (*.f64 rand rand)))) (*.f64 (+.f64 a -1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/9 (*.f64 a (*.f64 rand rand)))) (cbrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/9 (*.f64 a (*.f64 rand rand)))) (cbrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) (*.f64 (+.f64 a -1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)) (sqrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (sqrt.f64 a) rand)) (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 a) rand)) 1/3) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (sqrt.f64 a) rand)) (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 a) rand)) 1/3) (*.f64 (+.f64 a -1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) (sqrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) (sqrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) (*.f64 (+.f64 a -1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 a 1/4) (pow.f64 a 3/4) (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 1/27 (pow.f64 (*.f64 (sqrt.f64 a) rand) 3) (pow.f64 a 3)) (/.f64 1 (fma.f64 1/9 (*.f64 a (*.f64 rand rand)) (*.f64 a (-.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))))) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 1/9 (*.f64 a (*.f64 rand rand)) (neg.f64 (*.f64 a a))) (/.f64 1 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) (neg.f64 a))) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 (sqrt.f64 a)) rand (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 (sqrt.f64 a)) rand (*.f64 (+.f64 a -1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 a 3/4) (pow.f64 a 1/4) (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a -1/3)) (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 rand) (sqrt.f64 a) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 rand) (sqrt.f64 a) (*.f64 (+.f64 a -1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 (cbrt.f64 (*.f64 a (*.f64 rand rand)))) (cbrt.f64 (*.f64 (sqrt.f64 a) rand)) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 (cbrt.f64 (*.f64 a (*.f64 rand rand)))) (cbrt.f64 (*.f64 (sqrt.f64 a) rand)) (*.f64 (+.f64 a -1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 (sqrt.f64 (*.f64 (sqrt.f64 a) rand))) (sqrt.f64 (*.f64 (sqrt.f64 a) rand)) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 (sqrt.f64 (*.f64 (sqrt.f64 a) rand))) (sqrt.f64 (*.f64 (sqrt.f64 a) rand)) (*.f64 (+.f64 a -1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/3 (sqrt.f64 a)) 1) rand (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/3 (sqrt.f64 a)) 1) rand (*.f64 (+.f64 a -1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/3 (sqrt.f64 a)) (pow.f64 (cbrt.f64 rand) 2)) (cbrt.f64 rand) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/3 (sqrt.f64 a)) (pow.f64 (cbrt.f64 rand) 2)) (cbrt.f64 rand) (*.f64 (+.f64 a -1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/3 (sqrt.f64 a)) (sqrt.f64 rand)) (sqrt.f64 rand) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/3 (sqrt.f64 a)) (sqrt.f64 rand)) (sqrt.f64 rand) (*.f64 (+.f64 a -1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 a 5/6) (pow.f64 a 1/6) (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) -1/3)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 1/9 (*.f64 a (*.f64 rand rand))) (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) (neg.f64 a))) (/.f64 (*.f64 a a) (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)) (pow.f64 (cbrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)) 2) (cbrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)) (sqrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/27 (pow.f64 (*.f64 (sqrt.f64 a) rand) 3) (pow.f64 a 3)) (/.f64 1 (fma.f64 1/9 (*.f64 a (*.f64 rand rand)) (*.f64 a (-.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/9 (*.f64 a (*.f64 rand rand)) (neg.f64 (*.f64 a a))) (/.f64 1 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 1/9 (*.f64 a (*.f64 rand rand)) (*.f64 a (-.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))))) (fma.f64 1/27 (pow.f64 (*.f64 (sqrt.f64 a) rand) 3) (pow.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) (neg.f64 a)) (fma.f64 1/9 (*.f64 a (*.f64 rand rand)) (neg.f64 (*.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/27 (pow.f64 (*.f64 (sqrt.f64 a) rand) 3) (pow.f64 a 3)) (fma.f64 1/9 (*.f64 a (*.f64 rand rand)) (*.f64 a (-.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/27 (pow.f64 (*.f64 (sqrt.f64 a) rand) 3) (pow.f64 a 3)) (fma.f64 a a (-.f64 (*.f64 1/9 (*.f64 a (*.f64 rand rand))) (*.f64 (*.f64 (sqrt.f64 a) rand) (*.f64 1/3 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/9 (*.f64 a (*.f64 rand rand)) (neg.f64 (*.f64 a a))) (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 1/27 (pow.f64 (*.f64 (sqrt.f64 a) rand) 3) (pow.f64 a 3))) (neg.f64 (fma.f64 1/9 (*.f64 a (*.f64 rand rand)) (*.f64 a (-.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 1/9 (*.f64 a (*.f64 rand rand)) (neg.f64 (*.f64 a a)))) (neg.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 a a) (*.f64 1/9 (*.f64 a (*.f64 rand rand)))) (-.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 1/9 (*.f64 a (*.f64 rand rand)) (*.f64 a (-.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))))) (fma.f64 1/27 (pow.f64 (*.f64 (sqrt.f64 a) rand) 3) (pow.f64 a 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) (neg.f64 a)) (fma.f64 1/9 (*.f64 a (*.f64 rand rand)) (neg.f64 (*.f64 a a)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))) 2)) (cbrt.f64 (log.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)))) (sqrt.f64 (log.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 a)) (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 a))) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 a) (+.f64 1 (expm1.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 a)) (+.f64 1 (expm1.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))) (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 a))) rand) (+.f64 1 (expm1.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))) (+.f64 1 (expm1.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a 1 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (sqrt.f64 a) (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (*.f64 rand 1/3) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 rand (*.f64 1/3 (sqrt.f64 a)) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 a) rand) 1/3 a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) 1 a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 a (*.f64 rand rand))) (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 a) rand)) 1/3) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 a) (pow.f64 (cbrt.f64 a) 2) (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) (cbrt.f64 (*.f64 1/9 (*.f64 a (*.f64 rand rand)))) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/9 (*.f64 a (*.f64 rand rand)))) (cbrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (sqrt.f64 a) rand)) (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 a) rand)) 1/3) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) (sqrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 a 1/4) (pow.f64 a 3/4) (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 (sqrt.f64 a)) rand a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 a 3/4) (pow.f64 a 1/4) (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 rand) (sqrt.f64 a) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 (cbrt.f64 (*.f64 a (*.f64 rand rand)))) (cbrt.f64 (*.f64 (sqrt.f64 a) rand)) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 (sqrt.f64 (*.f64 (sqrt.f64 a) rand))) (sqrt.f64 (*.f64 (sqrt.f64 a) rand)) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/3 (sqrt.f64 a)) 1) rand a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/3 (sqrt.f64 a)) (pow.f64 (cbrt.f64 rand) 2)) (cbrt.f64 rand) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/3 (sqrt.f64 a)) (sqrt.f64 rand)) (sqrt.f64 rand) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 a 5/6) (pow.f64 a 1/6) (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))))))) |
| 1× | egg-herbie |
| 306× | fma-neg_binary64 |
| 131× | fma-def_binary64 |
| 73× | cancel-sign-sub-inv_binary64 |
| 57× | distribute-rgt-neg-in_binary64 |
| 36× | associate--r+_binary64 |
Useful iterations: 7 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 289 |
| 1 | 21 | 253 |
| 2 | 39 | 253 |
| 3 | 61 | 253 |
| 4 | 73 | 253 |
| 5 | 105 | 253 |
| 6 | 187 | 253 |
| 7 | 375 | 235 |
| 8 | 713 | 235 |
| 9 | 998 | 235 |
| 10 | 1104 | 235 |
| 11 | 1113 | 235 |
| 1× | saturated |
| Inputs |
|---|
-1/3 |
a |
a |
(-.f64 a 1/3) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) 1/3) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) 1/3) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) 1/3) |
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) 1/3) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) 1/3) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) 1/3) |
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) 1/3) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) 1/3) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) 1/3) |
a |
a |
a |
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) |
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) |
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) |
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) |
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) |
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) |
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) |
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) |
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) |
| Outputs |
|---|
-1/3 |
a |
a |
(-.f64 a 1/3) |
(+.f64 a -1/3) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) 1/3) |
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) 1/3)) |
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) -1/3)) |
(+.f64 a (fma.f64 (sqrt.f64 a) (*.f64 1/3 rand) -1/3)) |
(fma.f64 (fma.f64 (sqrt.f64 a) rand -1) 1/3 a) |
(fma.f64 1/3 (fma.f64 (sqrt.f64 a) rand -1) a) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) 1/3) |
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) 1/3)) |
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) -1/3)) |
(+.f64 a (fma.f64 (sqrt.f64 a) (*.f64 1/3 rand) -1/3)) |
(fma.f64 (fma.f64 (sqrt.f64 a) rand -1) 1/3 a) |
(fma.f64 1/3 (fma.f64 (sqrt.f64 a) rand -1) a) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) 1/3) |
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) 1/3)) |
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) -1/3)) |
(+.f64 a (fma.f64 (sqrt.f64 a) (*.f64 1/3 rand) -1/3)) |
(fma.f64 (fma.f64 (sqrt.f64 a) rand -1) 1/3 a) |
(fma.f64 1/3 (fma.f64 (sqrt.f64 a) rand -1) a) |
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) 1/3) |
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) 1/3)) |
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) -1/3)) |
(+.f64 a (fma.f64 (sqrt.f64 a) (*.f64 1/3 rand) -1/3)) |
(fma.f64 (fma.f64 (sqrt.f64 a) rand -1) 1/3 a) |
(fma.f64 1/3 (fma.f64 (sqrt.f64 a) rand -1) a) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) 1/3) |
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) 1/3)) |
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) -1/3)) |
(+.f64 a (fma.f64 (sqrt.f64 a) (*.f64 1/3 rand) -1/3)) |
(fma.f64 (fma.f64 (sqrt.f64 a) rand -1) 1/3 a) |
(fma.f64 1/3 (fma.f64 (sqrt.f64 a) rand -1) a) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) 1/3) |
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) 1/3)) |
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) -1/3)) |
(+.f64 a (fma.f64 (sqrt.f64 a) (*.f64 1/3 rand) -1/3)) |
(fma.f64 (fma.f64 (sqrt.f64 a) rand -1) 1/3 a) |
(fma.f64 1/3 (fma.f64 (sqrt.f64 a) rand -1) a) |
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) 1/3) |
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) 1/3)) |
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) -1/3)) |
(+.f64 a (fma.f64 (sqrt.f64 a) (*.f64 1/3 rand) -1/3)) |
(fma.f64 (fma.f64 (sqrt.f64 a) rand -1) 1/3 a) |
(fma.f64 1/3 (fma.f64 (sqrt.f64 a) rand -1) a) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) 1/3) |
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) 1/3)) |
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) -1/3)) |
(+.f64 a (fma.f64 (sqrt.f64 a) (*.f64 1/3 rand) -1/3)) |
(fma.f64 (fma.f64 (sqrt.f64 a) rand -1) 1/3 a) |
(fma.f64 1/3 (fma.f64 (sqrt.f64 a) rand -1) a) |
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) 1/3) |
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) 1/3)) |
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) -1/3)) |
(+.f64 a (fma.f64 (sqrt.f64 a) (*.f64 1/3 rand) -1/3)) |
(fma.f64 (fma.f64 (sqrt.f64 a) rand -1) 1/3 a) |
(fma.f64 1/3 (fma.f64 (sqrt.f64 a) rand -1) a) |
a |
a |
a |
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) |
(fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) |
(fma.f64 (sqrt.f64 a) (*.f64 1/3 rand) a) |
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) |
(fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) |
(fma.f64 (sqrt.f64 a) (*.f64 1/3 rand) a) |
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) |
(fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) |
(fma.f64 (sqrt.f64 a) (*.f64 1/3 rand) a) |
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) |
(fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) |
(fma.f64 (sqrt.f64 a) (*.f64 1/3 rand) a) |
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) |
(fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) |
(fma.f64 (sqrt.f64 a) (*.f64 1/3 rand) a) |
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) |
(fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) |
(fma.f64 (sqrt.f64 a) (*.f64 1/3 rand) a) |
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) |
(fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) |
(fma.f64 (sqrt.f64 a) (*.f64 1/3 rand) a) |
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) |
(fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) |
(fma.f64 (sqrt.f64 a) (*.f64 1/3 rand) a) |
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) |
(fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) |
(fma.f64 (sqrt.f64 a) (*.f64 1/3 rand) a) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.3b | (*.f64 (sqrt.f64 a) rand) | |
| 0.5b | (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
Compiled 17 to 7 computations (58.8% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (fma.f64 a a -1/9) |
| ✓ | 21.5b | (/.f64 (fma.f64 a a -1/9) (-.f64 a -1/3)) |
Compiled 20 to 13 computations (35% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | a | @ | 0 | (/.f64 (fma.f64 a a -1/9) (-.f64 a -1/3)) |
| 0.0ms | a | @ | -inf | (/.f64 (fma.f64 a a -1/9) (-.f64 a -1/3)) |
| 0.0ms | a | @ | inf | (/.f64 (fma.f64 a a -1/9) (-.f64 a -1/3)) |
| 0.0ms | a | @ | 0 | (fma.f64 a a -1/9) |
| 0.0ms | a | @ | inf | (fma.f64 a a -1/9) |
| 1× | batch-egg-rewrite |
| 834× | pow1_binary64 |
| 784× | add-log-exp_binary64 |
| 784× | log1p-expm1-u_binary64 |
| 784× | expm1-log1p-u_binary64 |
| 771× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 16 |
| 1 | 160 | 9 |
| 2 | 2096 | 9 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (fma.f64 a a -1/9) (-.f64 a -1/3)) |
(fma.f64 a a -1/9) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 a -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/3 a)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 a -1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 a a -1/9) (/.f64 1 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 a -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 a -1/3)) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2) (*.f64 (cbrt.f64 (fma.f64 a a -1/9)) (/.f64 1 (+.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 a a -1/9)) (*.f64 (sqrt.f64 (fma.f64 a a -1/9)) (/.f64 1 (+.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 a a -1/9)) (/.f64 1 (+.f64 (neg.f64 a) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 a 1/3)) (fma.f64 a a -1/9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 a a -1/9)) (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) 1) (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2)) (/.f64 (fma.f64 a a -1/9) (cbrt.f64 (+.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2) (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2)) (cbrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2)) (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (cbrt.f64 (+.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 a 1/3))) (/.f64 (fma.f64 a a -1/9) (sqrt.f64 (+.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2) (sqrt.f64 (+.f64 a 1/3))) (/.f64 (cbrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 3) 1/27)) (fma.f64 a a (+.f64 1/9 (*.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 a a -1/9) (fma.f64 a a -1/9)) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 a -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 a -1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 a -1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 a -1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 a -1/3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 (neg.f64 a) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 a -1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 a -1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 a a -1/9) 3) (pow.f64 (+.f64 a 1/3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 a -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (sqrt.f64 a) -1/3))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/9 (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a a) -1/9)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 a a) 1) -1/9)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 a a) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 a a -1/9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 a a -1/9) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 a a -1/9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 a a -1/9)) (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2) (cbrt.f64 (fma.f64 a a -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (fma.f64 a a -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 a a) 3) 1/729) (+.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (+.f64 1/81 (*.f64 (*.f64 a a) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 a a) 3) -1/729) (+.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (-.f64 1/81 (*.f64 (*.f64 a a) -1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 a a) (*.f64 a a)) 1/81) (+.f64 (*.f64 a a) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 a a) (*.f64 a a)) 1/81) (-.f64 (*.f64 a a) -1/9))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 a a -1/9) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a a -1/9) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 a a -1/9)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 a a -1/9) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 a a -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 a a -1/9) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 a a -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 a a -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 a a -1/9))))))) |
| 1× | egg-herbie |
| 1366× | sqr-pow_binary64 |
| 695× | pow-sqr_binary64 |
| 617× | cube-prod_binary64 |
| 606× | fabs-mul_binary64 |
| 434× | unswap-sqr_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 111 |
| 1 | 19 | 93 |
| 2 | 30 | 93 |
| 3 | 42 | 93 |
| 4 | 71 | 93 |
| 5 | 172 | 93 |
| 6 | 588 | 93 |
| 7 | 1460 | 93 |
| 8 | 1650 | 93 |
| 9 | 1834 | 93 |
| 10 | 2042 | 93 |
| 11 | 2337 | 93 |
| 12 | 2731 | 93 |
| 13 | 3214 | 93 |
| 14 | 3782 | 93 |
| 15 | 4466 | 93 |
| 16 | 5299 | 93 |
| 17 | 5697 | 93 |
| 18 | 5985 | 93 |
| 19 | 6257 | 93 |
| 20 | 6329 | 93 |
| 21 | 6365 | 93 |
| 22 | 7306 | 93 |
| 1× | node limit |
| Inputs |
|---|
-1/3 |
(-.f64 a 1/3) |
(-.f64 a 1/3) |
(-.f64 a 1/3) |
a |
(-.f64 a 1/3) |
(-.f64 a 1/3) |
(-.f64 a 1/3) |
a |
(-.f64 a 1/3) |
(-.f64 a 1/3) |
(-.f64 a 1/3) |
-1/9 |
(-.f64 (pow.f64 a 2) 1/9) |
(-.f64 (pow.f64 a 2) 1/9) |
(-.f64 (pow.f64 a 2) 1/9) |
(pow.f64 a 2) |
(-.f64 (pow.f64 a 2) 1/9) |
(-.f64 (pow.f64 a 2) 1/9) |
(-.f64 (pow.f64 a 2) 1/9) |
(pow.f64 a 2) |
(-.f64 (pow.f64 a 2) 1/9) |
(-.f64 (pow.f64 a 2) 1/9) |
(-.f64 (pow.f64 a 2) 1/9) |
| Outputs |
|---|
-1/3 |
(-.f64 a 1/3) |
(+.f64 a -1/3) |
(-.f64 a 1/3) |
(+.f64 a -1/3) |
(-.f64 a 1/3) |
(+.f64 a -1/3) |
a |
(-.f64 a 1/3) |
(+.f64 a -1/3) |
(-.f64 a 1/3) |
(+.f64 a -1/3) |
(-.f64 a 1/3) |
(+.f64 a -1/3) |
a |
(-.f64 a 1/3) |
(+.f64 a -1/3) |
(-.f64 a 1/3) |
(+.f64 a -1/3) |
(-.f64 a 1/3) |
(+.f64 a -1/3) |
-1/9 |
(-.f64 (pow.f64 a 2) 1/9) |
(+.f64 (*.f64 a a) -1/9) |
(fma.f64 a a -1/9) |
(-.f64 (pow.f64 a 2) 1/9) |
(+.f64 (*.f64 a a) -1/9) |
(fma.f64 a a -1/9) |
(-.f64 (pow.f64 a 2) 1/9) |
(+.f64 (*.f64 a a) -1/9) |
(fma.f64 a a -1/9) |
(pow.f64 a 2) |
(*.f64 a a) |
(-.f64 (pow.f64 a 2) 1/9) |
(+.f64 (*.f64 a a) -1/9) |
(fma.f64 a a -1/9) |
(-.f64 (pow.f64 a 2) 1/9) |
(+.f64 (*.f64 a a) -1/9) |
(fma.f64 a a -1/9) |
(-.f64 (pow.f64 a 2) 1/9) |
(+.f64 (*.f64 a a) -1/9) |
(fma.f64 a a -1/9) |
(pow.f64 a 2) |
(*.f64 a a) |
(-.f64 (pow.f64 a 2) 1/9) |
(+.f64 (*.f64 a a) -1/9) |
(fma.f64 a a -1/9) |
(-.f64 (pow.f64 a 2) 1/9) |
(+.f64 (*.f64 a a) -1/9) |
(fma.f64 a a -1/9) |
(-.f64 (pow.f64 a 2) 1/9) |
(+.f64 (*.f64 a a) -1/9) |
(fma.f64 a a -1/9) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 a (+.f64 1 (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand))) |
| 0.2b | (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand) | |
| 0.4b | (/.f64 1/3 (sqrt.f64 a)) |
Compiled 36 to 21 computations (41.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | a | @ | -inf | (*.f64 a (+.f64 1 (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand))) |
| 0.0ms | a | @ | 0 | (*.f64 a (+.f64 1 (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand))) |
| 0.0ms | a | @ | inf | (*.f64 a (+.f64 1 (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand))) |
| 0.0ms | rand | @ | -inf | (*.f64 a (+.f64 1 (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand))) |
| 0.0ms | rand | @ | 0 | (*.f64 a (+.f64 1 (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand))) |
| 1× | batch-egg-rewrite |
| 623× | prod-diff_binary64 |
| 489× | log-prod_binary64 |
| 368× | pow-prod-down_binary64 |
| 324× | fma-def_binary64 |
| 262× | pow2_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 15 |
| 1 | 216 | 13 |
| 2 | 2805 | 13 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 a (+.f64 1 (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 a (*.f64 a (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 a (*.f64 (*.f64 a (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 a (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand)) a)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand 1))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand 1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 a (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 a 3) (pow.f64 (*.f64 a (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand)) 3)) (fma.f64 a a (-.f64 (pow.f64 (*.f64 a (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand)) 2) (*.f64 a (*.f64 a (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 a a) (pow.f64 (*.f64 a (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand)) 2)) (-.f64 a (*.f64 a (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand) 3)) a) (fma.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand) (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 (/.f64 1/9 a) (*.f64 rand rand))) a) (-.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (+.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand) 3))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand) (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (-.f64 1 (*.f64 (/.f64 1/9 a) (*.f64 rand rand)))) (-.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 a (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand) a) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand) a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 a (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 a (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand) a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 a (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a) (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 a (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand) a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 a)) (exp.f64 (*.f64 a (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 a (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand))) (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 a (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand))) (+.f64 1 (expm1.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 a (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 a (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 a (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 a (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 a (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand) a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a 1 (*.f64 a (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a 1 (*.f64 (*.f64 a (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 a (*.f64 a (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 a (*.f64 (*.f64 a (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 a (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand)) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (sqrt.f64 a) (*.f64 a (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (sqrt.f64 a) (*.f64 (*.f64 a (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand)) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 1/9 a)) (*.f64 rand a) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 rand (*.f64 (sqrt.f64 (/.f64 1/9 a)) a) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand) a a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (/.f64 1/9 a) (*.f64 rand rand))) (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand)) a) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 a) (cbrt.f64 (*.f64 a a)) (*.f64 a (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 a) (cbrt.f64 (*.f64 a a)) (*.f64 (*.f64 a (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 a a)) (cbrt.f64 a) (*.f64 a (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 a a)) (cbrt.f64 a) (*.f64 (*.f64 a (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 a a)) (*.f64 (cbrt.f64 a) 1) (*.f64 a (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 a a)) (*.f64 (cbrt.f64 a) 1) (*.f64 (*.f64 a (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 a a)) (*.f64 (cbrt.f64 a) (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand)) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand)) (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand)) a) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 a 1/4) (sqrt.f64 (pow.f64 a 3/2)) (*.f64 a (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 a 1/4) (sqrt.f64 (pow.f64 a 3/2)) (*.f64 (*.f64 a (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 a (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand))) 2) (cbrt.f64 (*.f64 a (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand))) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 a (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand))) (sqrt.f64 (*.f64 a (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand))) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (pow.f64 a 3/2)) (pow.f64 a 1/4) (*.f64 a (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (pow.f64 a 3/2)) (pow.f64 a 1/4) (*.f64 (*.f64 a (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 a) (cbrt.f64 a)) (pow.f64 a 1/6) (*.f64 a (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 a) (cbrt.f64 a)) (pow.f64 a 1/6) (*.f64 (*.f64 a (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (sqrt.f64 (/.f64 1/9 a))) rand a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a rand) (sqrt.f64 (/.f64 1/9 a)) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (cbrt.f64 (*.f64 (/.f64 1/9 a) (*.f64 rand rand)))) (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand)) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand))) (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand)) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand) (sqrt.f64 a)) (sqrt.f64 a) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand) (cbrt.f64 (*.f64 a a))) (cbrt.f64 a) a))))) |
| 1× | egg-herbie |
| 6× | fma-def_binary64 |
| 5× | *-commutative_binary64 |
| 3× | associate-*r*_binary64 |
| 3× | associate-*l*_binary64 |
| 1× | +-commutative_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 129 |
| 1 | 13 | 111 |
| 2 | 23 | 111 |
| 3 | 29 | 111 |
| 1× | saturated |
| Inputs |
|---|
a |
a |
a |
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) |
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) |
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) |
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) |
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) |
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) |
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) |
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) |
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) |
| Outputs |
|---|
a |
a |
a |
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) |
(fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) |
(fma.f64 (sqrt.f64 a) (*.f64 1/3 rand) a) |
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) |
(fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) |
(fma.f64 (sqrt.f64 a) (*.f64 1/3 rand) a) |
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) |
(fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) |
(fma.f64 (sqrt.f64 a) (*.f64 1/3 rand) a) |
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) |
(fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) |
(fma.f64 (sqrt.f64 a) (*.f64 1/3 rand) a) |
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) |
(fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) |
(fma.f64 (sqrt.f64 a) (*.f64 1/3 rand) a) |
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) |
(fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) |
(fma.f64 (sqrt.f64 a) (*.f64 1/3 rand) a) |
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) |
(fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) |
(fma.f64 (sqrt.f64 a) (*.f64 1/3 rand) a) |
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) |
(fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) |
(fma.f64 (sqrt.f64 a) (*.f64 1/3 rand) a) |
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) |
(fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) |
(fma.f64 (sqrt.f64 a) (*.f64 1/3 rand) a) |
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)) | |
| ✓ | 8.3b | (*.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 | @ | -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 | @ | 0 | (*.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)))) |
| 1.0ms | a | @ | 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 9905 to 6207 computations (37.3% saved)
17 alts after pruning (12 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 658 | 9 | 667 |
| Fresh | 2 | 3 | 5 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 5 | 7 |
| Total | 663 | 17 | 680 |
| Status | Error | Program |
|---|---|---|
| 1.9b | (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) | |
| ✓ | 44.2b | (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
| 19.3b | (pow.f64 (/.f64 1 (+.f64 a -1/3)) -1) | |
| ✓ | 1.6b | (*.f64 a (+.f64 1 (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand))) |
| ✓ | 43.9b | (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
| 38.5b | (/.f64 (-.f64 (*.f64 a a) 1/9) (-.f64 a -1/3)) | |
| ✓ | 19.2b | (-.f64 a 1/3) |
| ✓ | 0.7b | (-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) a) 1/3) |
| 60.2b | (sqrt.f64 (*.f64 1/9 (*.f64 a (*.f64 rand rand)))) | |
| 20.4b | a | |
| 50.0b | (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 a a) (*.f64 a a)) 1/81) (-.f64 (*.f64 a a) -1/9)) (-.f64 a -1/3)) | |
| 39.2b | (/.f64 (*.f64 a a) (-.f64 a -1/3)) | |
| 63.0b | -1/3 | |
| 50.1b | (*.f64 (*.f64 rand a) (sqrt.f64 (/.f64 1 (*.f64 a 9)))) | |
| 60.1b | (sqrt.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))) | |
| 50.1b | (*.f64 (*.f64 rand a) (sqrt.f64 (/.f64 1/9 a))) | |
| 1.6b | (*.f64 a (+.f64 1 (/.f64 rand (*.f64 (sqrt.f64 a) 3)))) |
Compiled 169 to 123 computations (27.2% saved)
| Inputs |
|---|
-1/3 |
a |
-1/3 |
-1/3 |
a |
(-.f64 a 1/3) |
(/.f64 (*.f64 a a) (-.f64 a -1/3)) |
(/.f64 (-.f64 (*.f64 a a) 1/9) (-.f64 a -1/3)) |
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 a a) (*.f64 a a)) 1/81) (-.f64 (*.f64 a a) -1/9)) (-.f64 a -1/3)) |
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
(pow.f64 (/.f64 1 (+.f64 a -1/3)) -1) |
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) |
(sqrt.f64 (*.f64 1/9 (*.f64 a (*.f64 rand rand)))) |
(*.f64 (*.f64 rand a) (sqrt.f64 (/.f64 1/9 a))) |
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) |
(/.f64 (fma.f64 a a -1/9) (-.f64 a -1/3)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 (*.f64 rand a) (sqrt.f64 (/.f64 1 (*.f64 a 9)))) |
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) a) 1/3) |
(sqrt.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))) |
(*.f64 a (+.f64 1 (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand))) |
(*.f64 a (+.f64 1 (/.f64 rand (*.f64 (sqrt.f64 a) 3)))) |
(*.f64 a (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a))))) |
(*.f64 (*.f64 rand a) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
(*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand))) |
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (*.f64 (sqrt.f64 a) 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 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3))))) |
(*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))))) |
(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand))) |
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) |
(/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3)))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) (fma.f64 a a -1/9)) (+.f64 a 1/3)) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) (+.f64 (pow.f64 a 3) -1/27)) (fma.f64 a a (fma.f64 a 1/3 1/9))) |
| Outputs |
|---|
(*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))))) |
6 calls:
| 24.0ms | (-.f64 a (/.f64 1 3)) |
| 20.0ms | rand |
| 20.0ms | (*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand))) |
| 19.0ms | (*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand))) |
| 19.0ms | (-.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 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand))) |
| 0.1b | 1 | (-.f64 a (/.f64 1 3)) |
| 0.1b | 1 | (-.f64 a (/.f64 1 3)) |
Compiled 424 to 298 computations (29.7% saved)
| Inputs |
|---|
-1/3 |
a |
-1/3 |
-1/3 |
a |
(-.f64 a 1/3) |
(/.f64 (*.f64 a a) (-.f64 a -1/3)) |
(/.f64 (-.f64 (*.f64 a a) 1/9) (-.f64 a -1/3)) |
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 a a) (*.f64 a a)) 1/81) (-.f64 (*.f64 a a) -1/9)) (-.f64 a -1/3)) |
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
(pow.f64 (/.f64 1 (+.f64 a -1/3)) -1) |
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) |
(sqrt.f64 (*.f64 1/9 (*.f64 a (*.f64 rand rand)))) |
(*.f64 (*.f64 rand a) (sqrt.f64 (/.f64 1/9 a))) |
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) |
(/.f64 (fma.f64 a a -1/9) (-.f64 a -1/3)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 (*.f64 rand a) (sqrt.f64 (/.f64 1 (*.f64 a 9)))) |
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) a) 1/3) |
(sqrt.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))) |
(*.f64 a (+.f64 1 (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand))) |
(*.f64 a (+.f64 1 (/.f64 rand (*.f64 (sqrt.f64 a) 3)))) |
(*.f64 a (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a))))) |
(*.f64 (*.f64 rand a) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
(*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand))) |
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (*.f64 (sqrt.f64 a) 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 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3))))) |
| Outputs |
|---|
(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3))))) |
2 calls:
| 15.0ms | rand |
| 15.0ms | a |
| Error | Segments | Branch |
|---|---|---|
| 0.1b | 1 | a |
| 0.1b | 1 | rand |
Compiled 262 to 168 computations (35.9% saved)
| Inputs |
|---|
-1/3 |
a |
-1/3 |
-1/3 |
a |
(-.f64 a 1/3) |
(/.f64 (*.f64 a a) (-.f64 a -1/3)) |
(/.f64 (-.f64 (*.f64 a a) 1/9) (-.f64 a -1/3)) |
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 a a) (*.f64 a a)) 1/81) (-.f64 (*.f64 a a) -1/9)) (-.f64 a -1/3)) |
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
(pow.f64 (/.f64 1 (+.f64 a -1/3)) -1) |
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) |
(sqrt.f64 (*.f64 1/9 (*.f64 a (*.f64 rand rand)))) |
(*.f64 (*.f64 rand a) (sqrt.f64 (/.f64 1/9 a))) |
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) |
(/.f64 (fma.f64 a a -1/9) (-.f64 a -1/3)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 (*.f64 rand a) (sqrt.f64 (/.f64 1 (*.f64 a 9)))) |
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) a) 1/3) |
(sqrt.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))) |
(*.f64 a (+.f64 1 (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand))) |
(*.f64 a (+.f64 1 (/.f64 rand (*.f64 (sqrt.f64 a) 3)))) |
(*.f64 a (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a))))) |
(*.f64 (*.f64 rand a) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
(*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand))) |
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (*.f64 (sqrt.f64 a) 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 (-.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:
| 16.0ms | a |
| 15.0ms | rand |
| Error | Segments | Branch |
|---|---|---|
| 0.4b | 1 | a |
| 0.4b | 1 | rand |
Compiled 246 to 155 computations (37% saved)
| Inputs |
|---|
-1/3 |
a |
-1/3 |
-1/3 |
a |
(-.f64 a 1/3) |
(/.f64 (*.f64 a a) (-.f64 a -1/3)) |
(/.f64 (-.f64 (*.f64 a a) 1/9) (-.f64 a -1/3)) |
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 a a) (*.f64 a a)) 1/81) (-.f64 (*.f64 a a) -1/9)) (-.f64 a -1/3)) |
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
(pow.f64 (/.f64 1 (+.f64 a -1/3)) -1) |
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) |
(sqrt.f64 (*.f64 1/9 (*.f64 a (*.f64 rand rand)))) |
(*.f64 (*.f64 rand a) (sqrt.f64 (/.f64 1/9 a))) |
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) |
(/.f64 (fma.f64 a a -1/9) (-.f64 a -1/3)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 (*.f64 rand a) (sqrt.f64 (/.f64 1 (*.f64 a 9)))) |
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) a) 1/3) |
(sqrt.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))) |
(*.f64 a (+.f64 1 (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand))) |
(*.f64 a (+.f64 1 (/.f64 rand (*.f64 (sqrt.f64 a) 3)))) |
(*.f64 a (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a))))) |
(*.f64 (*.f64 rand a) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
(*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand))) |
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (*.f64 (sqrt.f64 a) 3)))) |
| Outputs |
|---|
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (*.f64 (sqrt.f64 a) 3)))) |
2 calls:
| 15.0ms | rand |
| 13.0ms | a |
| Error | Segments | Branch |
|---|---|---|
| 0.4b | 1 | a |
| 0.4b | 1 | rand |
Compiled 208 to 126 computations (39.4% saved)
| Inputs |
|---|
-1/3 |
a |
-1/3 |
-1/3 |
a |
(-.f64 a 1/3) |
(/.f64 (*.f64 a a) (-.f64 a -1/3)) |
(/.f64 (-.f64 (*.f64 a a) 1/9) (-.f64 a -1/3)) |
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 a a) (*.f64 a a)) 1/81) (-.f64 (*.f64 a a) -1/9)) (-.f64 a -1/3)) |
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
(pow.f64 (/.f64 1 (+.f64 a -1/3)) -1) |
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) |
(sqrt.f64 (*.f64 1/9 (*.f64 a (*.f64 rand rand)))) |
(*.f64 (*.f64 rand a) (sqrt.f64 (/.f64 1/9 a))) |
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) |
(/.f64 (fma.f64 a a -1/9) (-.f64 a -1/3)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 (*.f64 rand a) (sqrt.f64 (/.f64 1 (*.f64 a 9)))) |
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) a) 1/3) |
(sqrt.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))) |
(*.f64 a (+.f64 1 (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand))) |
(*.f64 a (+.f64 1 (/.f64 rand (*.f64 (sqrt.f64 a) 3)))) |
(*.f64 a (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a))))) |
(*.f64 (*.f64 rand a) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
(*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand))) |
| Outputs |
|---|
(*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand))) |
2 calls:
| 14.0ms | rand |
| 13.0ms | a |
| Error | Segments | Branch |
|---|---|---|
| 0.4b | 1 | a |
| 0.4b | 1 | rand |
Compiled 196 to 118 computations (39.8% saved)
| Inputs |
|---|
-1/3 |
a |
-1/3 |
-1/3 |
a |
(-.f64 a 1/3) |
(/.f64 (*.f64 a a) (-.f64 a -1/3)) |
(/.f64 (-.f64 (*.f64 a a) 1/9) (-.f64 a -1/3)) |
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 a a) (*.f64 a a)) 1/81) (-.f64 (*.f64 a a) -1/9)) (-.f64 a -1/3)) |
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
(pow.f64 (/.f64 1 (+.f64 a -1/3)) -1) |
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) |
(sqrt.f64 (*.f64 1/9 (*.f64 a (*.f64 rand rand)))) |
(*.f64 (*.f64 rand a) (sqrt.f64 (/.f64 1/9 a))) |
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) |
(/.f64 (fma.f64 a a -1/9) (-.f64 a -1/3)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 (*.f64 rand a) (sqrt.f64 (/.f64 1 (*.f64 a 9)))) |
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) a) 1/3) |
(sqrt.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))) |
(*.f64 a (+.f64 1 (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand))) |
(*.f64 a (+.f64 1 (/.f64 rand (*.f64 (sqrt.f64 a) 3)))) |
(*.f64 a (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a))))) |
(*.f64 (*.f64 rand a) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) |
| Outputs |
|---|
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) a) 1/3) |
2 calls:
| 13.0ms | a |
| 12.0ms | rand |
| Error | Segments | Branch |
|---|---|---|
| 0.7b | 1 | a |
| 0.7b | 1 | rand |
Compiled 184 to 110 computations (40.2% saved)
| Inputs |
|---|
-1/3 |
a |
-1/3 |
-1/3 |
a |
(-.f64 a 1/3) |
(/.f64 (*.f64 a a) (-.f64 a -1/3)) |
(/.f64 (-.f64 (*.f64 a a) 1/9) (-.f64 a -1/3)) |
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 a a) (*.f64 a a)) 1/81) (-.f64 (*.f64 a a) -1/9)) (-.f64 a -1/3)) |
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
(pow.f64 (/.f64 1 (+.f64 a -1/3)) -1) |
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) |
(sqrt.f64 (*.f64 1/9 (*.f64 a (*.f64 rand rand)))) |
(*.f64 (*.f64 rand a) (sqrt.f64 (/.f64 1/9 a))) |
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) |
(/.f64 (fma.f64 a a -1/9) (-.f64 a -1/3)) |
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) |
(*.f64 (*.f64 rand a) (sqrt.f64 (/.f64 1 (*.f64 a 9)))) |
| Outputs |
|---|
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) |
(-.f64 a 1/3) |
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) |
2 calls:
| 36.0ms | rand |
| 10.0ms | a |
| Error | Segments | Branch |
|---|---|---|
| 1.9b | 1 | a |
| 0.7b | 3 | rand |
Compiled 122 to 72 computations (41% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 29.0ms | 1.0999983397036142e-63 | 2.1689550866017212e-60 |
| 30.0ms | -1.0406286794925802e+33 | -5.40455458254348e+32 |
Compiled 27 to 23 computations (14.8% saved)
| Inputs |
|---|
-1/3 |
a |
-1/3 |
-1/3 |
a |
(-.f64 a 1/3) |
(/.f64 (*.f64 a a) (-.f64 a -1/3)) |
(/.f64 (-.f64 (*.f64 a a) 1/9) (-.f64 a -1/3)) |
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 a a) (*.f64 a a)) 1/81) (-.f64 (*.f64 a a) -1/9)) (-.f64 a -1/3)) |
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
(pow.f64 (/.f64 1 (+.f64 a -1/3)) -1) |
| Outputs |
|---|
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
(-.f64 a 1/3) |
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) |
2 calls:
| 40.0ms | a |
| 20.0ms | rand |
| Error | Segments | Branch |
|---|---|---|
| 15.6b | 5 | a |
| 4.5b | 3 | rand |
Compiled 64 to 39 computations (39.1% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 45.0ms | 7.0885085917935655e+81 | 3.886299238058071e+92 |
| 46.0ms | -1.64349747615508e+106 | -8.145234799778355e+104 |
Compiled 27 to 23 computations (14.8% saved)
| Inputs |
|---|
-1/3 |
a |
-1/3 |
-1/3 |
a |
(-.f64 a 1/3) |
(/.f64 (*.f64 a a) (-.f64 a -1/3)) |
(/.f64 (-.f64 (*.f64 a a) 1/9) (-.f64 a -1/3)) |
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 a a) (*.f64 a a)) 1/81) (-.f64 (*.f64 a a) -1/9)) (-.f64 a -1/3)) |
| Outputs |
|---|
(-.f64 a 1/3) |
2 calls:
| 11.0ms | a |
| 10.0ms | rand |
| Error | Segments | Branch |
|---|---|---|
| 19.2b | 1 | a |
| 19.2b | 1 | rand |
Compiled 51 to 29 computations (43.1% saved)
Total -43.0b remaining (-211.1%)
Threshold costs -43.0b (-211.1%)
| Inputs |
|---|
-1/3 |
a |
-1/3 |
-1/3 |
a |
| Outputs |
|---|
a |
2 calls:
| 9.0ms | rand |
| 7.0ms | a |
| Error | Segments | Branch |
|---|---|---|
| 20.4b | 1 | a |
| 20.4b | 1 | rand |
Compiled 13 to 9 computations (30.8% saved)
| 1× | egg-herbie |
| 12× | *-commutative_binary64 |
| 10× | +-commutative_binary64 |
| 4× | sub-neg_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 194 |
| 1 | 84 | 194 |
| 2 | 87 | 194 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))))) |
(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3))))) |
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3) |
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (*.f64 (sqrt.f64 a) 3)))) |
(*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand))) |
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) a) 1/3) |
(if (<=.f64 rand -1040628679492580235719202956115968) (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) (if (<=.f64 rand 8151750778359075/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (-.f64 a 1/3) (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))))) |
(if (<=.f64 rand -16434974761550799199140420920256596195536001834205883008974998790376497705690598468090817494404662332227584) (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) (if (<=.f64 rand 7088508591793565477900967002520034072919968543265835752989970711783779181539622912) (-.f64 a 1/3) (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))) |
(-.f64 a 1/3) |
a |
-1/3 |
| Outputs |
|---|
(*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))))) |
(*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 rand (sqrt.f64 (/.f64 1 (+.f64 (*.f64 a 9) -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 (+.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 (*.f64 (sqrt.f64 a) 3)))) |
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (*.f64 3 (sqrt.f64 a))))) |
(*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand))) |
(*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) |
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) a) 1/3) |
(+.f64 (+.f64 a (*.f64 1/3 (*.f64 rand (sqrt.f64 a)))) -1/3) |
(+.f64 -1/3 (+.f64 a (*.f64 1/3 (*.f64 rand (sqrt.f64 a))))) |
(if (<=.f64 rand -1040628679492580235719202956115968) (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) (if (<=.f64 rand 8151750778359075/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (-.f64 a 1/3) (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))))) |
(if (<=.f64 rand -1040628679492580235719202956115968) (+.f64 a (*.f64 1/3 (*.f64 rand (sqrt.f64 a)))) (if (<=.f64 rand 8151750778359075/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (-.f64 a 1/3) (+.f64 a (*.f64 1/3 (*.f64 rand (sqrt.f64 a)))))) |
(if (<=.f64 rand -16434974761550799199140420920256596195536001834205883008974998790376497705690598468090817494404662332227584) (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) (if (<=.f64 rand 7088508591793565477900967002520034072919968543265835752989970711783779181539622912) (-.f64 a 1/3) (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))) |
(if (<=.f64 rand -16434974761550799199140420920256596195536001834205883008974998790376497705690598468090817494404662332227584) (*.f64 1/3 (*.f64 rand (sqrt.f64 a))) (if (<=.f64 rand 7088508591793565477900967002520034072919968543265835752989970711783779181539622912) (-.f64 a 1/3) (*.f64 1/3 (*.f64 rand (sqrt.f64 a))))) |
(-.f64 a 1/3) |
a |
-1/3 |
Compiled 153 to 113 computations (26.1% saved)
| 1× | egg-herbie |
| 1035× | fma-def_binary64 |
| 742× | fma-neg_binary64 |
| 189× | distribute-rgt-in_binary64 |
| 173× | cancel-sign-sub-inv_binary64 |
| 157× | distribute-lft-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 24 |
| 1 | 32 | 21 |
| 2 | 82 | 19 |
| 3 | 203 | 19 |
| 4 | 510 | 19 |
| 5 | 968 | 19 |
| 6 | 1468 | 19 |
| 7 | 2419 | 19 |
| 8 | 3619 | 19 |
| 9 | 4100 | 19 |
| 10 | 4256 | 19 |
| 11 | 4295 | 19 |
| 12 | 4295 | 19 |
| 13 | 4848 | 19 |
| 14 | 4848 | 19 |
| 1× | saturated |
Compiled 389 to 334 computations (14.1% saved)
Compiled 133 to 87 computations (34.6% saved)
Loading profile data...