Time bar (total: 6.9s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 25% | 75% | 0% | 0% | 0% | 0 |
| 100% | 25% | 0% | 75% | 0% | 0% | 0% | 1 |
Compiled 6 to 4 computations (33.3% saved)
| 1.2s | 8256× | body | 256 | valid |
| 2× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 5 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(acosh.f32 x) |
| Outputs |
|---|
(acosh.f32 x) |
Compiled 11 to 8 computations (27.3% saved)
| 1× | egg-herbie |
| 1316× | fma-neg |
| 1074× | +-commutative |
| 1010× | *-commutative |
| 776× | distribute-neg-in |
| 746× | associate-+r+ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 23 |
| 1 | 21 | 23 |
| 2 | 25 | 23 |
| 3 | 40 | 23 |
| 4 | 84 | 23 |
| 5 | 177 | 23 |
| 6 | 348 | 23 |
| 7 | 794 | 23 |
| 8 | 3311 | 23 |
| 9 | 4904 | 23 |
| 10 | 6285 | 23 |
| 11 | 7231 | 23 |
| 12 | 7581 | 23 |
| 13 | 7779 | 23 |
| 14 | 7887 | 23 |
| 1× | node limit |
| Inputs |
|---|
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1)))) |
| Outputs |
|---|
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1)))) |
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) |
Compiled 18 to 12 computations (33.3% 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 |
|---|---|---|
| ▶ | 51.99% | (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) |
| ▶ | 52.03% | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1)))) |
Compiled 19 to 13 computations (31.6% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.06% | (-.f32 (*.f32 x x) 1) |
| ✓ | 0.15% | (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))) |
| ✓ | 0.39% | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1)))) |
| ✓ | 44.95% | (sqrt.f32 (-.f32 (*.f32 x x) 1)) |
Compiled 34 to 17 computations (50% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1)))) |
| 1.0ms | x | @ | 0 | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1)))) |
| 0.0ms | x | @ | inf | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1)))) |
| 0.0ms | x | @ | 0 | (sqrt.f32 (-.f32 (*.f32 x x) 1)) |
| 0.0ms | x | @ | inf | (sqrt.f32 (-.f32 (*.f32 x x) 1)) |
| 1× | batch-egg-rewrite |
| 884× | *-commutative |
| 846× | associate-*r/ |
| 664× | associate-*l/ |
| 634× | distribute-lft-in |
| 612× | distribute-rgt-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 64 |
| 1 | 213 | 64 |
| 2 | 2863 | 64 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f32 (-.f32 (*.f32 x x) 1)) |
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1)))) |
(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))) |
(-.f32 (*.f32 x x) 1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (sqrt.f32 (fma.f32 x x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (sqrt.f32 (fma.f32 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (fma.f32 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (fma.f32 x x -1)) (pow.f32 1 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (fma.f32 x x -1) 1/4) (pow.f32 (fma.f32 x x -1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (sqrt.f32 (fma.f32 x x -1))) (cbrt.f32 (fma.f32 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (fma.f32 x x -1)) (cbrt.f32 (sqrt.f32 (fma.f32 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (cbrt.f32 (fma.f32 x x -1))) (sqrt.f32 (cbrt.f32 (pow.f32 (fma.f32 x x -1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (fma.f32 x x -1) 2))) (sqrt.f32 (cbrt.f32 (fma.f32 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (+.f32 x 1)) (sqrt.f32 (+.f32 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (+.f32 x -1)) (sqrt.f32 (+.f32 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 1 1/2) (sqrt.f32 (fma.f32 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (pow.f32 (fma.f32 x x -1) 2)) 1/2) (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 1/2) (pow.f32 (cbrt.f32 (pow.f32 (fma.f32 x x -1) 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (+.f32 x 1) 1/2) (pow.f32 (+.f32 x -1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (+.f32 x -1) 1/2) (pow.f32 (+.f32 x 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 (+.f32 -1 (pow.f32 x 6))) (sqrt.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 (+.f32 (pow.f32 x 4) -1)) (sqrt.f32 (fma.f32 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 1 (sqrt.f32 (+.f32 -1 (pow.f32 x 6)))) (sqrt.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 1 (sqrt.f32 (+.f32 (pow.f32 x 4) -1))) (sqrt.f32 (fma.f32 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (cbrt.f32 (sqrt.f32 (fma.f32 x x -1))) (cbrt.f32 (+.f32 -1 (pow.f32 x 6)))) (cbrt.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (cbrt.f32 (sqrt.f32 (fma.f32 x x -1))) (cbrt.f32 (+.f32 (pow.f32 x 4) -1))) (cbrt.f32 (fma.f32 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 1 1/2) (sqrt.f32 (+.f32 -1 (pow.f32 x 6)))) (sqrt.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 1 1/2) (sqrt.f32 (+.f32 (pow.f32 x 4) -1))) (sqrt.f32 (fma.f32 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sqrt.f32 (+.f32 -1 (pow.f32 x 6))) 1) (sqrt.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sqrt.f32 (+.f32 (pow.f32 x 4) -1)) 1) (sqrt.f32 (fma.f32 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (cbrt.f32 (+.f32 -1 (pow.f32 x 6))) (cbrt.f32 (sqrt.f32 (fma.f32 x x -1)))) (cbrt.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (cbrt.f32 (+.f32 (pow.f32 x 4) -1)) (cbrt.f32 (sqrt.f32 (fma.f32 x x -1)))) (cbrt.f32 (fma.f32 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (fma.f32 x x -1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (fma.f32 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (fma.f32 x x -1) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (sqrt.f32 (fma.f32 x x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (fma.f32 x x -1) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (sqrt.f32 (fma.f32 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (sqrt.f32 (fma.f32 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (fma.f32 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (fma.f32 x x -1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (sqrt.f32 (fma.f32 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (sqrt.f32 (fma.f32 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (sqrt.f32 (fma.f32 x x -1)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2)) (log.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) (log.f32 (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 0 (log.f32 (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2))) (log.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 0 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 1 (log.f32 (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2))) (*.f32 1 (log.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 1 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) (*.f32 1 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2)) 1) (*.f32 (log.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 1) (*.f32 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (+.f32 1 (*.f32 x (-.f32 x x)))) (log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2))) (log.f32 (+.f32 (fma.f32 x x -1) (*.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 0 (log.f32 (+.f32 1 (*.f32 x (-.f32 x x))))) (log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 0 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)))) (log.f32 (+.f32 (fma.f32 x x -1) (*.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 0 (exp.f32 (log1p.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) (cbrt.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2)) (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (+.f32 x (-.f32 (sqrt.f32 (fma.f32 x x -1)) 1))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 x 1) (-.f32 1 (sqrt.f32 (fma.f32 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (sqrt.f32 (fma.f32 x x -1)))) (-.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (*.f32 x x) (-.f32 x (sqrt.f32 (fma.f32 x x -1)))) (/.f32 (fma.f32 x x -1) (-.f32 x (sqrt.f32 (fma.f32 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 x (exp.f32 (log1p.f32 (sqrt.f32 (fma.f32 x x -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (sqrt.f32 (fma.f32 x x -1)) (+.f32 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) (sqrt.f32 (+.f32 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egg-rr> (2) ((x fma.f32 (cbrt.f32 (pow.f32 x 4)) (pow.f32 (cbrt.f32 x) 2) -1))))) |
| 1× | egg-herbie |
| 786× | associate-*r* |
| 664× | associate-*l* |
| 660× | fma-def |
| 576× | associate-/l* |
| 542× | associate-+r- |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 676 | 11578 |
| 1 | 1768 | 10740 |
| 2 | 7720 | 10740 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f32 -1) |
(+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1)))) |
(+.f32 (*.f32 -1/8 (/.f32 (pow.f32 x 4) (pow.f32 (sqrt.f32 -1) 3))) (+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1))))) |
(+.f32 (*.f32 -1/8 (/.f32 (pow.f32 x 4) (pow.f32 (sqrt.f32 -1) 3))) (+.f32 (sqrt.f32 -1) (+.f32 (*.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1))) (*.f32 1/16 (/.f32 (pow.f32 x 6) (pow.f32 (sqrt.f32 -1) 5)))))) |
x |
(-.f32 x (*.f32 1/2 (/.f32 1 x))) |
(-.f32 x (+.f32 (*.f32 1/2 (/.f32 1 x)) (*.f32 1/8 (/.f32 1 (pow.f32 x 3))))) |
(-.f32 x (+.f32 (*.f32 1/2 (/.f32 1 x)) (+.f32 (*.f32 1/16 (/.f32 1 (pow.f32 x 5))) (*.f32 1/8 (/.f32 1 (pow.f32 x 3)))))) |
(*.f32 -1 x) |
(+.f32 (*.f32 -1 x) (*.f32 1/2 (/.f32 1 x))) |
(+.f32 (*.f32 1/2 (/.f32 1 x)) (+.f32 (*.f32 1/8 (/.f32 1 (pow.f32 x 3))) (*.f32 -1 x))) |
(+.f32 (*.f32 1/2 (/.f32 1 x)) (+.f32 (*.f32 1/16 (/.f32 1 (pow.f32 x 5))) (+.f32 (*.f32 1/8 (/.f32 1 (pow.f32 x 3))) (*.f32 -1 x)))) |
(log.f32 (sqrt.f32 -1)) |
(+.f32 (/.f32 x (sqrt.f32 -1)) (log.f32 (sqrt.f32 -1))) |
(+.f32 (*.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 (sqrt.f32 -1) 3))) (+.f32 (/.f32 x (sqrt.f32 -1)) (log.f32 (sqrt.f32 -1)))) |
(+.f32 (*.f32 3/40 (/.f32 (pow.f32 x 5) (pow.f32 (sqrt.f32 -1) 5))) (+.f32 (*.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 (sqrt.f32 -1) 3))) (+.f32 (/.f32 x (sqrt.f32 -1)) (log.f32 (sqrt.f32 -1))))) |
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x)))) |
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))) |
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (+.f32 (*.f32 3/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))) |
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (+.f32 (*.f32 3/32 (/.f32 1 (pow.f32 x 4))) (+.f32 (*.f32 5/96 (/.f32 1 (pow.f32 x 6))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))) |
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x))) |
(+.f32 (log.f32 (/.f32 -1 x)) (+.f32 (log.f32 -1/2) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))) |
(+.f32 (log.f32 (/.f32 -1 x)) (+.f32 (log.f32 -1/2) (+.f32 (*.f32 3/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))) |
(+.f32 (log.f32 (/.f32 -1 x)) (+.f32 (log.f32 -1/2) (+.f32 (*.f32 3/32 (/.f32 1 (pow.f32 x 4))) (+.f32 (*.f32 5/96 (/.f32 1 (pow.f32 x 6))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))))) |
(sqrt.f32 -1) |
(+.f32 (sqrt.f32 -1) x) |
(+.f32 (sqrt.f32 -1) (+.f32 (*.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1))) x)) |
(+.f32 (*.f32 -1/8 (/.f32 (pow.f32 x 4) (pow.f32 (sqrt.f32 -1) 3))) (+.f32 (sqrt.f32 -1) (+.f32 (*.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1))) x))) |
(*.f32 2 x) |
(-.f32 (*.f32 2 x) (*.f32 1/2 (/.f32 1 x))) |
(-.f32 (*.f32 2 x) (+.f32 (*.f32 1/2 (/.f32 1 x)) (*.f32 1/8 (/.f32 1 (pow.f32 x 3))))) |
(-.f32 (*.f32 2 x) (+.f32 (*.f32 1/2 (/.f32 1 x)) (+.f32 (*.f32 1/16 (/.f32 1 (pow.f32 x 5))) (*.f32 1/8 (/.f32 1 (pow.f32 x 3)))))) |
(/.f32 1/2 x) |
(+.f32 (*.f32 1/8 (/.f32 1 (pow.f32 x 3))) (*.f32 1/2 (/.f32 1 x))) |
(+.f32 (*.f32 1/16 (/.f32 1 (pow.f32 x 5))) (+.f32 (*.f32 1/8 (/.f32 1 (pow.f32 x 3))) (*.f32 1/2 (/.f32 1 x)))) |
(+.f32 (*.f32 1/16 (/.f32 1 (pow.f32 x 5))) (+.f32 (*.f32 1/8 (/.f32 1 (pow.f32 x 3))) (+.f32 (*.f32 1/2 (/.f32 1 x)) (*.f32 5/128 (/.f32 1 (pow.f32 x 7)))))) |
-1 |
(-.f32 (pow.f32 x 2) 1) |
(-.f32 (pow.f32 x 2) 1) |
(-.f32 (pow.f32 x 2) 1) |
(pow.f32 x 2) |
(-.f32 (pow.f32 x 2) 1) |
(-.f32 (pow.f32 x 2) 1) |
(-.f32 (pow.f32 x 2) 1) |
(pow.f32 x 2) |
(-.f32 (pow.f32 x 2) 1) |
(-.f32 (pow.f32 x 2) 1) |
(-.f32 (pow.f32 x 2) 1) |
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (fma.f32 x x -1)))) 1) |
(*.f32 1 (sqrt.f32 (fma.f32 x x -1))) |
(*.f32 (sqrt.f32 (fma.f32 x x -1)) 1) |
(*.f32 (sqrt.f32 (fma.f32 x x -1)) (pow.f32 1 1/2)) |
(*.f32 (pow.f32 (fma.f32 x x -1) 1/4) (pow.f32 (fma.f32 x x -1) 1/4)) |
(*.f32 (cbrt.f32 (sqrt.f32 (fma.f32 x x -1))) (cbrt.f32 (fma.f32 x x -1))) |
(*.f32 (cbrt.f32 (fma.f32 x x -1)) (cbrt.f32 (sqrt.f32 (fma.f32 x x -1)))) |
(*.f32 (sqrt.f32 (cbrt.f32 (fma.f32 x x -1))) (sqrt.f32 (cbrt.f32 (pow.f32 (fma.f32 x x -1) 2)))) |
(*.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (fma.f32 x x -1) 2))) (sqrt.f32 (cbrt.f32 (fma.f32 x x -1)))) |
(*.f32 (sqrt.f32 (+.f32 x 1)) (sqrt.f32 (+.f32 x -1))) |
(*.f32 (sqrt.f32 (+.f32 x -1)) (sqrt.f32 (+.f32 x 1))) |
(*.f32 (pow.f32 1 1/2) (sqrt.f32 (fma.f32 x x -1))) |
(*.f32 (pow.f32 (cbrt.f32 (pow.f32 (fma.f32 x x -1) 2)) 1/2) (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 1/2)) |
(*.f32 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 1/2) (pow.f32 (cbrt.f32 (pow.f32 (fma.f32 x x -1) 2)) 1/2)) |
(*.f32 (pow.f32 (+.f32 x 1) 1/2) (pow.f32 (+.f32 x -1) 1/2)) |
(*.f32 (pow.f32 (+.f32 x -1) 1/2) (pow.f32 (+.f32 x 1) 1/2)) |
(/.f32 (sqrt.f32 (+.f32 -1 (pow.f32 x 6))) (sqrt.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1)))) |
(/.f32 (sqrt.f32 (+.f32 (pow.f32 x 4) -1)) (sqrt.f32 (fma.f32 x x 1))) |
(/.f32 (*.f32 1 (sqrt.f32 (+.f32 -1 (pow.f32 x 6)))) (sqrt.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1)))) |
(/.f32 (*.f32 1 (sqrt.f32 (+.f32 (pow.f32 x 4) -1))) (sqrt.f32 (fma.f32 x x 1))) |
(/.f32 (*.f32 (cbrt.f32 (sqrt.f32 (fma.f32 x x -1))) (cbrt.f32 (+.f32 -1 (pow.f32 x 6)))) (cbrt.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1)))) |
(/.f32 (*.f32 (cbrt.f32 (sqrt.f32 (fma.f32 x x -1))) (cbrt.f32 (+.f32 (pow.f32 x 4) -1))) (cbrt.f32 (fma.f32 x x 1))) |
(/.f32 (*.f32 (pow.f32 1 1/2) (sqrt.f32 (+.f32 -1 (pow.f32 x 6)))) (sqrt.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1)))) |
(/.f32 (*.f32 (pow.f32 1 1/2) (sqrt.f32 (+.f32 (pow.f32 x 4) -1))) (sqrt.f32 (fma.f32 x x 1))) |
(/.f32 (*.f32 (sqrt.f32 (+.f32 -1 (pow.f32 x 6))) 1) (sqrt.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1)))) |
(/.f32 (*.f32 (sqrt.f32 (+.f32 (pow.f32 x 4) -1)) 1) (sqrt.f32 (fma.f32 x x 1))) |
(/.f32 (*.f32 (cbrt.f32 (+.f32 -1 (pow.f32 x 6))) (cbrt.f32 (sqrt.f32 (fma.f32 x x -1)))) (cbrt.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1)))) |
(/.f32 (*.f32 (cbrt.f32 (+.f32 (pow.f32 x 4) -1)) (cbrt.f32 (sqrt.f32 (fma.f32 x x -1)))) (cbrt.f32 (fma.f32 x x 1))) |
(pow.f32 (fma.f32 x x -1) 1/2) |
(pow.f32 (sqrt.f32 (fma.f32 x x -1)) 1) |
(pow.f32 (pow.f32 (fma.f32 x x -1) 1/4) 2) |
(pow.f32 (cbrt.f32 (sqrt.f32 (fma.f32 x x -1))) 3) |
(pow.f32 (pow.f32 (fma.f32 x x -1) 3/2) 1/3) |
(fabs.f32 (sqrt.f32 (fma.f32 x x -1))) |
(log.f32 (exp.f32 (sqrt.f32 (fma.f32 x x -1)))) |
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (fma.f32 x x -1))))) |
(cbrt.f32 (pow.f32 (fma.f32 x x -1) 3/2)) |
(expm1.f32 (log1p.f32 (sqrt.f32 (fma.f32 x x -1)))) |
(exp.f32 (log.f32 (sqrt.f32 (fma.f32 x x -1)))) |
(log1p.f32 (expm1.f32 (sqrt.f32 (fma.f32 x x -1)))) |
(+.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 0) |
(+.f32 0 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) |
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2)) (log.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) |
(+.f32 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) |
(+.f32 (log.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) (log.f32 (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2))) |
(+.f32 (+.f32 0 (log.f32 (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2))) (log.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) |
(+.f32 (+.f32 0 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) |
(+.f32 (*.f32 1 (log.f32 (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2))) (*.f32 1 (log.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))) |
(+.f32 (*.f32 1 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) (*.f32 1 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))) |
(+.f32 (*.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2)) 1) (*.f32 (log.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 1)) |
(+.f32 (*.f32 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 1) (*.f32 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 1)) |
(-.f32 (log.f32 (+.f32 1 (*.f32 x (-.f32 x x)))) (log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))))) |
(-.f32 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2))) (log.f32 (+.f32 (fma.f32 x x -1) (*.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x -1))))))) |
(-.f32 (exp.f32 (log1p.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) 1) |
(-.f32 (+.f32 0 (log.f32 (+.f32 1 (*.f32 x (-.f32 x x))))) (log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))))) |
(-.f32 (+.f32 0 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)))) (log.f32 (+.f32 (fma.f32 x x -1) (*.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x -1))))))) |
(-.f32 (+.f32 0 (exp.f32 (log1p.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))) 1) |
(*.f32 1 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) |
(*.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 1) |
(*.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) |
(*.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) (cbrt.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2))) |
(*.f32 (cbrt.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2)) (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) |
(*.f32 2 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) |
(pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 1) |
(pow.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2) |
(pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 3) |
(pow.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 3) 1/3) |
(sqrt.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2)) |
(cbrt.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 3)) |
(expm1.f32 (log1p.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) |
(exp.f32 (log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) |
(log1p.f32 (+.f32 x (-.f32 (sqrt.f32 (fma.f32 x x -1)) 1))) |
(-.f32 (+.f32 x 1) (-.f32 1 (sqrt.f32 (fma.f32 x x -1)))) |
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (fma.f32 x x -1)))) (-.f32 1 x)) |
(-.f32 (exp.f32 (log1p.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 1) |
(-.f32 (/.f32 (*.f32 x x) (-.f32 x (sqrt.f32 (fma.f32 x x -1)))) (/.f32 (fma.f32 x x -1) (-.f32 x (sqrt.f32 (fma.f32 x x -1))))) |
(-.f32 (+.f32 x (exp.f32 (log1p.f32 (sqrt.f32 (fma.f32 x x -1))))) 1) |
(-.f32 (+.f32 (sqrt.f32 (fma.f32 x x -1)) (+.f32 x 1)) 1) |
(*.f32 1 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) |
(*.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 1) |
(*.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) |
(*.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2)) |
(*.f32 (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2) (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) |
(*.f32 (+.f32 1 (*.f32 x (-.f32 x x))) (/.f32 1 (-.f32 x (sqrt.f32 (fma.f32 x x -1))))) |
(*.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)) (/.f32 1 (+.f32 (fma.f32 x x -1) (*.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x -1))))))) |
(*.f32 (/.f32 1 (-.f32 x (sqrt.f32 (fma.f32 x x -1)))) (+.f32 1 (*.f32 x (-.f32 x x)))) |
(*.f32 (/.f32 1 (+.f32 (fma.f32 x x -1) (*.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x -1)))))) (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2))) |
(*.f32 (/.f32 (+.f32 1 (*.f32 x (-.f32 x x))) (+.f32 1 (*.f32 x (-.f32 x x)))) (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) |
(*.f32 (/.f32 (+.f32 1 (*.f32 x (-.f32 x x))) (-.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2))) (+.f32 (*.f32 x x) (+.f32 -1 (*.f32 x (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))) |
(*.f32 (/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)) (-.f32 (pow.f32 x 4) (*.f32 (fma.f32 x x -1) (*.f32 (-.f32 (sqrt.f32 (fma.f32 x x -1)) x) (-.f32 (sqrt.f32 (fma.f32 x x -1)) x))))) (-.f32 (*.f32 x x) (+.f32 -1 (*.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x -1))))))) |
(*.f32 (/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)) (+.f32 (pow.f32 x 6) (pow.f32 (+.f32 -1 (*.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x -1))))) 3))) (+.f32 (pow.f32 x 4) (*.f32 (+.f32 -1 (*.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x -1))))) (-.f32 (+.f32 -1 (*.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x -1))))) (*.f32 x x))))) |
(/.f32 1 (/.f32 1 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) |
(/.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) (/.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))) (-.f32 x (sqrt.f32 (fma.f32 x x -1))))) |
(/.f32 (+.f32 1 (*.f32 x (-.f32 x x))) (-.f32 x (sqrt.f32 (fma.f32 x x -1)))) |
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)) (+.f32 (fma.f32 x x -1) (*.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x -1)))))) |
(/.f32 (+.f32 (fma.f32 x x -1) (*.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x -1))))) (/.f32 (+.f32 (fma.f32 x x -1) (*.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x -1))))) (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) |
(/.f32 (sqrt.f32 (+.f32 1 (*.f32 x (-.f32 x x)))) (/.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))) (sqrt.f32 (+.f32 1 (*.f32 x (-.f32 x x)))))) |
(/.f32 (sqrt.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2))) (/.f32 (+.f32 (fma.f32 x x -1) (*.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x -1))))) (sqrt.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2))))) |
(/.f32 (*.f32 (cbrt.f32 (+.f32 1 (*.f32 x (-.f32 x x)))) (cbrt.f32 (+.f32 1 (*.f32 x (-.f32 x x))))) (/.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))) (cbrt.f32 (+.f32 1 (*.f32 x (-.f32 x x)))))) |
(/.f32 (*.f32 (cbrt.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2))) (cbrt.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)))) (/.f32 (+.f32 (fma.f32 x x -1) (*.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x -1))))) (cbrt.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2))))) |
(/.f32 (+.f32 -1 (*.f32 x (-.f32 x x))) (-.f32 (sqrt.f32 (fma.f32 x x -1)) x)) |
(/.f32 (-.f32 (pow.f32 x 4) (pow.f32 (fma.f32 x x -1) 2)) (*.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))) (+.f32 (*.f32 x x) (fma.f32 x x -1)))) |
(/.f32 (+.f32 (pow.f32 (pow.f32 x 3) 3) (pow.f32 (pow.f32 (fma.f32 x x -1) 3/2) 3)) (*.f32 (+.f32 (fma.f32 x x -1) (*.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x -1))))) (+.f32 (pow.f32 x 6) (-.f32 (pow.f32 (fma.f32 x x -1) 3) (*.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)))))) |
(/.f32 (-.f32 (pow.f32 x 6) (pow.f32 (fma.f32 x x -1) 3)) (*.f32 (+.f32 (fma.f32 x x -1) (*.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x -1))))) (-.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)))) |
(/.f32 (-.f32 (pow.f32 x 6) (pow.f32 (fma.f32 x x -1) 3)) (*.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))) (+.f32 (pow.f32 x 4) (*.f32 (fma.f32 x x -1) (+.f32 (*.f32 x x) (fma.f32 x x -1)))))) |
(/.f32 (+.f32 (neg.f32 (*.f32 x (-.f32 x x))) -1) (neg.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))))) |
(/.f32 (neg.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2))) (neg.f32 (+.f32 (fma.f32 x x -1) (*.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x -1))))))) |
(/.f32 (*.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) (sqrt.f32 (+.f32 1 (*.f32 x (-.f32 x x))))) (sqrt.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))))) |
(/.f32 (*.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) (sqrt.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)))) (sqrt.f32 (+.f32 (fma.f32 x x -1) (*.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x -1))))))) |
(/.f32 (*.f32 (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2) (cbrt.f32 (+.f32 1 (*.f32 x (-.f32 x x))))) (cbrt.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))))) |
(/.f32 (*.f32 (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2) (cbrt.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)))) (cbrt.f32 (+.f32 (fma.f32 x x -1) (*.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x -1))))))) |
(/.f32 (*.f32 (+.f32 -1 (*.f32 x (-.f32 x x))) 1) (-.f32 (sqrt.f32 (fma.f32 x x -1)) x)) |
(/.f32 (*.f32 (+.f32 (neg.f32 (*.f32 x (-.f32 x x))) -1) 1) (neg.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))))) |
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(log.f32 (+.f32 1 (expm1.f32 (fma.f32 x x -1)))) |
(cbrt.f32 (pow.f32 (fma.f32 x x -1) 3)) |
(expm1.f32 (*.f32 (log.f32 x) 2)) |
(exp.f32 (log.f32 (fma.f32 x x -1))) |
(log1p.f32 (expm1.f32 (fma.f32 x x -1))) |
(fma.f32 x x -1) |
(fma.f32 1 (*.f32 x x) -1) |
(fma.f32 (cbrt.f32 (pow.f32 x 4)) (pow.f32 (cbrt.f32 x) 2) -1) |
| Outputs |
|---|
(sqrt.f32 -1) |
(+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1)))) |
(+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (*.f32 x x) (sqrt.f32 -1)))) |
(fma.f32 1/2 (/.f32 x (/.f32 (sqrt.f32 -1) x)) (sqrt.f32 -1)) |
(+.f32 (*.f32 -1/8 (/.f32 (pow.f32 x 4) (pow.f32 (sqrt.f32 -1) 3))) (+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1))))) |
(fma.f32 -1/8 (/.f32 (pow.f32 x 4) (pow.f32 (sqrt.f32 -1) 3)) (+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (*.f32 x x) (sqrt.f32 -1))))) |
(+.f32 (fma.f32 1/2 (/.f32 x (/.f32 (sqrt.f32 -1) x)) (sqrt.f32 -1)) (*.f32 1/8 (/.f32 (pow.f32 x 4) (sqrt.f32 -1)))) |
(+.f32 (*.f32 -1/8 (/.f32 (pow.f32 x 4) (pow.f32 (sqrt.f32 -1) 3))) (+.f32 (sqrt.f32 -1) (+.f32 (*.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1))) (*.f32 1/16 (/.f32 (pow.f32 x 6) (pow.f32 (sqrt.f32 -1) 5)))))) |
(fma.f32 -1/8 (/.f32 (pow.f32 x 4) (pow.f32 (sqrt.f32 -1) 3)) (+.f32 (sqrt.f32 -1) (fma.f32 1/2 (/.f32 (*.f32 x x) (sqrt.f32 -1)) (*.f32 1/16 (/.f32 (pow.f32 x 6) (pow.f32 (sqrt.f32 -1) 5)))))) |
(+.f32 (*.f32 1/8 (/.f32 (pow.f32 x 4) (sqrt.f32 -1))) (+.f32 (fma.f32 1/2 (/.f32 x (/.f32 (sqrt.f32 -1) x)) (sqrt.f32 -1)) (/.f32 (*.f32 1/16 (pow.f32 x 6)) (pow.f32 (sqrt.f32 -1) 5)))) |
x |
(-.f32 x (*.f32 1/2 (/.f32 1 x))) |
(-.f32 x (/.f32 1/2 x)) |
(+.f32 x (/.f32 -1/2 x)) |
(-.f32 x (+.f32 (*.f32 1/2 (/.f32 1 x)) (*.f32 1/8 (/.f32 1 (pow.f32 x 3))))) |
(-.f32 x (+.f32 (/.f32 1/2 x) (/.f32 1/8 (pow.f32 x 3)))) |
(+.f32 x (-.f32 (/.f32 -1/2 x) (/.f32 1/8 (pow.f32 x 3)))) |
(-.f32 x (+.f32 (*.f32 1/2 (/.f32 1 x)) (+.f32 (*.f32 1/16 (/.f32 1 (pow.f32 x 5))) (*.f32 1/8 (/.f32 1 (pow.f32 x 3)))))) |
(-.f32 x (+.f32 (/.f32 1/2 x) (+.f32 (/.f32 1/8 (pow.f32 x 3)) (/.f32 1/16 (pow.f32 x 5))))) |
(-.f32 x (+.f32 (/.f32 1/8 (pow.f32 x 3)) (+.f32 (/.f32 1/2 x) (/.f32 1/16 (pow.f32 x 5))))) |
(*.f32 -1 x) |
(neg.f32 x) |
(+.f32 (*.f32 -1 x) (*.f32 1/2 (/.f32 1 x))) |
(fma.f32 -1 x (/.f32 1/2 x)) |
(-.f32 (/.f32 1/2 x) x) |
(+.f32 (*.f32 1/2 (/.f32 1 x)) (+.f32 (*.f32 1/8 (/.f32 1 (pow.f32 x 3))) (*.f32 -1 x))) |
(+.f32 (/.f32 1/2 x) (+.f32 (/.f32 1/8 (pow.f32 x 3)) (neg.f32 x))) |
(+.f32 (/.f32 1/2 x) (-.f32 (/.f32 1/8 (pow.f32 x 3)) x)) |
(+.f32 (*.f32 1/2 (/.f32 1 x)) (+.f32 (*.f32 1/16 (/.f32 1 (pow.f32 x 5))) (+.f32 (*.f32 1/8 (/.f32 1 (pow.f32 x 3))) (*.f32 -1 x)))) |
(+.f32 (/.f32 1/2 x) (+.f32 (/.f32 1/16 (pow.f32 x 5)) (+.f32 (/.f32 1/8 (pow.f32 x 3)) (neg.f32 x)))) |
(+.f32 (/.f32 1/2 x) (+.f32 (/.f32 1/16 (pow.f32 x 5)) (-.f32 (/.f32 1/8 (pow.f32 x 3)) x))) |
(log.f32 (sqrt.f32 -1)) |
(+.f32 (/.f32 x (sqrt.f32 -1)) (log.f32 (sqrt.f32 -1))) |
(+.f32 (log.f32 (sqrt.f32 -1)) (/.f32 x (sqrt.f32 -1))) |
(+.f32 (*.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 (sqrt.f32 -1) 3))) (+.f32 (/.f32 x (sqrt.f32 -1)) (log.f32 (sqrt.f32 -1)))) |
(fma.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 (sqrt.f32 -1) 3)) (+.f32 (log.f32 (sqrt.f32 -1)) (/.f32 x (sqrt.f32 -1)))) |
(+.f32 (log.f32 (sqrt.f32 -1)) (+.f32 (/.f32 x (sqrt.f32 -1)) (*.f32 1/6 (/.f32 (pow.f32 x 3) (sqrt.f32 -1))))) |
(+.f32 (*.f32 3/40 (/.f32 (pow.f32 x 5) (pow.f32 (sqrt.f32 -1) 5))) (+.f32 (*.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 (sqrt.f32 -1) 3))) (+.f32 (/.f32 x (sqrt.f32 -1)) (log.f32 (sqrt.f32 -1))))) |
(fma.f32 3/40 (/.f32 (pow.f32 x 5) (pow.f32 (sqrt.f32 -1) 5)) (fma.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 (sqrt.f32 -1) 3)) (+.f32 (log.f32 (sqrt.f32 -1)) (/.f32 x (sqrt.f32 -1))))) |
(+.f32 (+.f32 (log.f32 (sqrt.f32 -1)) (/.f32 x (sqrt.f32 -1))) (fma.f32 3/40 (/.f32 (pow.f32 x 5) (pow.f32 (sqrt.f32 -1) 5)) (*.f32 1/6 (/.f32 (pow.f32 x 3) (sqrt.f32 -1))))) |
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x)))) |
(fma.f32 -1 (neg.f32 (log.f32 x)) (log.f32 2)) |
(+.f32 (log.f32 2) (log.f32 x)) |
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))) |
(-.f32 (fma.f32 -1 (neg.f32 (log.f32 x)) (log.f32 2)) (/.f32 1/4 (*.f32 x x))) |
(+.f32 (log.f32 2) (+.f32 (log.f32 x) (/.f32 -1/4 (*.f32 x x)))) |
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (+.f32 (*.f32 3/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))) |
(-.f32 (fma.f32 -1 (neg.f32 (log.f32 x)) (log.f32 2)) (+.f32 (/.f32 1/4 (*.f32 x x)) (/.f32 3/32 (pow.f32 x 4)))) |
(+.f32 (log.f32 2) (-.f32 (log.f32 x) (+.f32 (/.f32 1/4 (*.f32 x x)) (/.f32 3/32 (pow.f32 x 4))))) |
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (+.f32 (*.f32 3/32 (/.f32 1 (pow.f32 x 4))) (+.f32 (*.f32 5/96 (/.f32 1 (pow.f32 x 6))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))) |
(-.f32 (fma.f32 -1 (neg.f32 (log.f32 x)) (log.f32 2)) (+.f32 (/.f32 3/32 (pow.f32 x 4)) (+.f32 (/.f32 1/4 (*.f32 x x)) (/.f32 5/96 (pow.f32 x 6))))) |
(+.f32 (log.f32 2) (-.f32 (log.f32 x) (+.f32 (/.f32 1/4 (*.f32 x x)) (+.f32 (/.f32 3/32 (pow.f32 x 4)) (/.f32 5/96 (pow.f32 x 6)))))) |
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x))) |
(+.f32 (log.f32 (/.f32 -1 x)) (+.f32 (log.f32 -1/2) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))) |
(+.f32 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x))) (/.f32 1/4 (*.f32 x x))) |
(+.f32 (/.f32 1/4 (*.f32 x x)) (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x)))) |
(+.f32 (log.f32 (/.f32 -1 x)) (+.f32 (log.f32 -1/2) (+.f32 (*.f32 3/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))) |
(+.f32 (log.f32 (/.f32 -1 x)) (+.f32 (+.f32 (log.f32 -1/2) (/.f32 3/32 (pow.f32 x 4))) (/.f32 1/4 (*.f32 x x)))) |
(+.f32 (+.f32 (/.f32 1/4 (*.f32 x x)) (/.f32 3/32 (pow.f32 x 4))) (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x)))) |
(+.f32 (log.f32 (/.f32 -1 x)) (+.f32 (log.f32 -1/2) (+.f32 (*.f32 3/32 (/.f32 1 (pow.f32 x 4))) (+.f32 (*.f32 5/96 (/.f32 1 (pow.f32 x 6))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))))) |
(+.f32 (log.f32 (/.f32 -1 x)) (+.f32 (+.f32 (/.f32 3/32 (pow.f32 x 4)) (+.f32 (/.f32 1/4 (*.f32 x x)) (/.f32 5/96 (pow.f32 x 6)))) (log.f32 -1/2))) |
(+.f32 (+.f32 (/.f32 1/4 (*.f32 x x)) (+.f32 (/.f32 3/32 (pow.f32 x 4)) (/.f32 5/96 (pow.f32 x 6)))) (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x)))) |
(sqrt.f32 -1) |
(+.f32 (sqrt.f32 -1) x) |
(+.f32 (sqrt.f32 -1) (+.f32 (*.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1))) x)) |
(+.f32 (sqrt.f32 -1) (fma.f32 1/2 (/.f32 (*.f32 x x) (sqrt.f32 -1)) x)) |
(+.f32 x (fma.f32 1/2 (/.f32 x (/.f32 (sqrt.f32 -1) x)) (sqrt.f32 -1))) |
(+.f32 (*.f32 -1/8 (/.f32 (pow.f32 x 4) (pow.f32 (sqrt.f32 -1) 3))) (+.f32 (sqrt.f32 -1) (+.f32 (*.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1))) x))) |
(fma.f32 -1/8 (/.f32 (pow.f32 x 4) (pow.f32 (sqrt.f32 -1) 3)) (+.f32 (sqrt.f32 -1) (fma.f32 1/2 (/.f32 (*.f32 x x) (sqrt.f32 -1)) x))) |
(+.f32 (sqrt.f32 -1) (+.f32 (fma.f32 1/2 (/.f32 x (/.f32 (sqrt.f32 -1) x)) x) (*.f32 1/8 (/.f32 (pow.f32 x 4) (sqrt.f32 -1))))) |
(*.f32 2 x) |
(*.f32 x 2) |
(-.f32 (*.f32 2 x) (*.f32 1/2 (/.f32 1 x))) |
(-.f32 (*.f32 x 2) (/.f32 1/2 x)) |
(fma.f32 x 2 (/.f32 -1/2 x)) |
(-.f32 (*.f32 2 x) (+.f32 (*.f32 1/2 (/.f32 1 x)) (*.f32 1/8 (/.f32 1 (pow.f32 x 3))))) |
(-.f32 (*.f32 x 2) (+.f32 (/.f32 1/2 x) (/.f32 1/8 (pow.f32 x 3)))) |
(-.f32 (fma.f32 x 2 (/.f32 -1/2 x)) (/.f32 1/8 (pow.f32 x 3))) |
(-.f32 (*.f32 2 x) (+.f32 (*.f32 1/2 (/.f32 1 x)) (+.f32 (*.f32 1/16 (/.f32 1 (pow.f32 x 5))) (*.f32 1/8 (/.f32 1 (pow.f32 x 3)))))) |
(-.f32 (*.f32 x 2) (+.f32 (/.f32 1/2 x) (+.f32 (/.f32 1/8 (pow.f32 x 3)) (/.f32 1/16 (pow.f32 x 5))))) |
(-.f32 (fma.f32 x 2 (/.f32 -1/2 x)) (+.f32 (/.f32 1/8 (pow.f32 x 3)) (/.f32 1/16 (pow.f32 x 5)))) |
(/.f32 1/2 x) |
(+.f32 (*.f32 1/8 (/.f32 1 (pow.f32 x 3))) (*.f32 1/2 (/.f32 1 x))) |
(+.f32 (/.f32 1/2 x) (/.f32 1/8 (pow.f32 x 3))) |
(+.f32 (*.f32 1/16 (/.f32 1 (pow.f32 x 5))) (+.f32 (*.f32 1/8 (/.f32 1 (pow.f32 x 3))) (*.f32 1/2 (/.f32 1 x)))) |
(+.f32 (/.f32 1/2 x) (+.f32 (/.f32 1/8 (pow.f32 x 3)) (/.f32 1/16 (pow.f32 x 5)))) |
(+.f32 (/.f32 1/8 (pow.f32 x 3)) (+.f32 (/.f32 1/2 x) (/.f32 1/16 (pow.f32 x 5)))) |
(+.f32 (*.f32 1/16 (/.f32 1 (pow.f32 x 5))) (+.f32 (*.f32 1/8 (/.f32 1 (pow.f32 x 3))) (+.f32 (*.f32 1/2 (/.f32 1 x)) (*.f32 5/128 (/.f32 1 (pow.f32 x 7)))))) |
(+.f32 (/.f32 1/16 (pow.f32 x 5)) (+.f32 (/.f32 1/8 (pow.f32 x 3)) (+.f32 (/.f32 1/2 x) (/.f32 5/128 (pow.f32 x 7))))) |
(+.f32 (/.f32 1/8 (pow.f32 x 3)) (+.f32 (+.f32 (/.f32 1/2 x) (/.f32 5/128 (pow.f32 x 7))) (/.f32 1/16 (pow.f32 x 5)))) |
-1 |
(-.f32 (pow.f32 x 2) 1) |
(fma.f32 x x -1) |
(-.f32 (pow.f32 x 2) 1) |
(fma.f32 x x -1) |
(-.f32 (pow.f32 x 2) 1) |
(fma.f32 x x -1) |
(pow.f32 x 2) |
(*.f32 x x) |
(-.f32 (pow.f32 x 2) 1) |
(fma.f32 x x -1) |
(-.f32 (pow.f32 x 2) 1) |
(fma.f32 x x -1) |
(-.f32 (pow.f32 x 2) 1) |
(fma.f32 x x -1) |
(pow.f32 x 2) |
(*.f32 x x) |
(-.f32 (pow.f32 x 2) 1) |
(fma.f32 x x -1) |
(-.f32 (pow.f32 x 2) 1) |
(fma.f32 x x -1) |
(-.f32 (pow.f32 x 2) 1) |
(fma.f32 x x -1) |
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (fma.f32 x x -1)))) 1) |
(sqrt.f32 (fma.f32 x x -1)) |
(*.f32 1 (sqrt.f32 (fma.f32 x x -1))) |
(sqrt.f32 (fma.f32 x x -1)) |
(*.f32 (sqrt.f32 (fma.f32 x x -1)) 1) |
(sqrt.f32 (fma.f32 x x -1)) |
(*.f32 (sqrt.f32 (fma.f32 x x -1)) (pow.f32 1 1/2)) |
(sqrt.f32 (fma.f32 x x -1)) |
(*.f32 (pow.f32 (fma.f32 x x -1) 1/4) (pow.f32 (fma.f32 x x -1) 1/4)) |
(sqrt.f32 (fma.f32 x x -1)) |
(*.f32 (cbrt.f32 (sqrt.f32 (fma.f32 x x -1))) (cbrt.f32 (fma.f32 x x -1))) |
(*.f32 (cbrt.f32 (fma.f32 x x -1)) (cbrt.f32 (sqrt.f32 (fma.f32 x x -1)))) |
(*.f32 (cbrt.f32 (sqrt.f32 (fma.f32 x x -1))) (cbrt.f32 (fma.f32 x x -1))) |
(*.f32 (sqrt.f32 (cbrt.f32 (fma.f32 x x -1))) (sqrt.f32 (cbrt.f32 (pow.f32 (fma.f32 x x -1) 2)))) |
(*.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (fma.f32 x x -1) 2))) (sqrt.f32 (cbrt.f32 (fma.f32 x x -1)))) |
(*.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (fma.f32 x x -1) 2))) (sqrt.f32 (cbrt.f32 (fma.f32 x x -1)))) |
(*.f32 (sqrt.f32 (+.f32 x 1)) (sqrt.f32 (+.f32 x -1))) |
(*.f32 (sqrt.f32 (+.f32 x 1)) (sqrt.f32 (+.f32 -1 x))) |
(*.f32 (sqrt.f32 (+.f32 x -1)) (sqrt.f32 (+.f32 x 1))) |
(*.f32 (sqrt.f32 (+.f32 x 1)) (sqrt.f32 (+.f32 -1 x))) |
(*.f32 (pow.f32 1 1/2) (sqrt.f32 (fma.f32 x x -1))) |
(sqrt.f32 (fma.f32 x x -1)) |
(*.f32 (pow.f32 (cbrt.f32 (pow.f32 (fma.f32 x x -1) 2)) 1/2) (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 1/2)) |
(*.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (fma.f32 x x -1) 2))) (sqrt.f32 (cbrt.f32 (fma.f32 x x -1)))) |
(*.f32 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 1/2) (pow.f32 (cbrt.f32 (pow.f32 (fma.f32 x x -1) 2)) 1/2)) |
(*.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (fma.f32 x x -1) 2))) (sqrt.f32 (cbrt.f32 (fma.f32 x x -1)))) |
(*.f32 (pow.f32 (+.f32 x 1) 1/2) (pow.f32 (+.f32 x -1) 1/2)) |
(*.f32 (sqrt.f32 (+.f32 x 1)) (sqrt.f32 (+.f32 -1 x))) |
(*.f32 (pow.f32 (+.f32 x -1) 1/2) (pow.f32 (+.f32 x 1) 1/2)) |
(*.f32 (sqrt.f32 (+.f32 x 1)) (sqrt.f32 (+.f32 -1 x))) |
(/.f32 (sqrt.f32 (+.f32 -1 (pow.f32 x 6))) (sqrt.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1)))) |
(/.f32 (sqrt.f32 (+.f32 (pow.f32 x 4) -1)) (sqrt.f32 (fma.f32 x x 1))) |
(/.f32 (sqrt.f32 (+.f32 -1 (pow.f32 x 4))) (sqrt.f32 (fma.f32 x x 1))) |
(/.f32 (*.f32 1 (sqrt.f32 (+.f32 -1 (pow.f32 x 6)))) (sqrt.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1)))) |
(/.f32 (sqrt.f32 (+.f32 -1 (pow.f32 x 6))) (sqrt.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1)))) |
(/.f32 (*.f32 1 (sqrt.f32 (+.f32 (pow.f32 x 4) -1))) (sqrt.f32 (fma.f32 x x 1))) |
(/.f32 (sqrt.f32 (+.f32 -1 (pow.f32 x 4))) (sqrt.f32 (fma.f32 x x 1))) |
(/.f32 (*.f32 (cbrt.f32 (sqrt.f32 (fma.f32 x x -1))) (cbrt.f32 (+.f32 -1 (pow.f32 x 6)))) (cbrt.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1)))) |
(/.f32 (cbrt.f32 (+.f32 -1 (pow.f32 x 6))) (/.f32 (cbrt.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1))) (cbrt.f32 (sqrt.f32 (fma.f32 x x -1))))) |
(*.f32 (/.f32 (cbrt.f32 (+.f32 -1 (pow.f32 x 6))) (cbrt.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1)))) (cbrt.f32 (sqrt.f32 (fma.f32 x x -1)))) |
(/.f32 (*.f32 (cbrt.f32 (sqrt.f32 (fma.f32 x x -1))) (cbrt.f32 (+.f32 (pow.f32 x 4) -1))) (cbrt.f32 (fma.f32 x x 1))) |
(/.f32 (cbrt.f32 (sqrt.f32 (fma.f32 x x -1))) (/.f32 (cbrt.f32 (fma.f32 x x 1)) (cbrt.f32 (+.f32 -1 (pow.f32 x 4))))) |
(*.f32 (/.f32 (cbrt.f32 (+.f32 -1 (pow.f32 x 4))) (cbrt.f32 (fma.f32 x x 1))) (cbrt.f32 (sqrt.f32 (fma.f32 x x -1)))) |
(/.f32 (*.f32 (pow.f32 1 1/2) (sqrt.f32 (+.f32 -1 (pow.f32 x 6)))) (sqrt.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1)))) |
(/.f32 (sqrt.f32 (+.f32 -1 (pow.f32 x 6))) (sqrt.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1)))) |
(/.f32 (*.f32 (pow.f32 1 1/2) (sqrt.f32 (+.f32 (pow.f32 x 4) -1))) (sqrt.f32 (fma.f32 x x 1))) |
(/.f32 (sqrt.f32 (+.f32 -1 (pow.f32 x 4))) (sqrt.f32 (fma.f32 x x 1))) |
(/.f32 (*.f32 (sqrt.f32 (+.f32 -1 (pow.f32 x 6))) 1) (sqrt.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1)))) |
(/.f32 (sqrt.f32 (+.f32 -1 (pow.f32 x 6))) (sqrt.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1)))) |
(/.f32 (*.f32 (sqrt.f32 (+.f32 (pow.f32 x 4) -1)) 1) (sqrt.f32 (fma.f32 x x 1))) |
(/.f32 (sqrt.f32 (+.f32 -1 (pow.f32 x 4))) (sqrt.f32 (fma.f32 x x 1))) |
(/.f32 (*.f32 (cbrt.f32 (+.f32 -1 (pow.f32 x 6))) (cbrt.f32 (sqrt.f32 (fma.f32 x x -1)))) (cbrt.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1)))) |
(/.f32 (cbrt.f32 (+.f32 -1 (pow.f32 x 6))) (/.f32 (cbrt.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1))) (cbrt.f32 (sqrt.f32 (fma.f32 x x -1))))) |
(*.f32 (/.f32 (cbrt.f32 (+.f32 -1 (pow.f32 x 6))) (cbrt.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1)))) (cbrt.f32 (sqrt.f32 (fma.f32 x x -1)))) |
(/.f32 (*.f32 (cbrt.f32 (+.f32 (pow.f32 x 4) -1)) (cbrt.f32 (sqrt.f32 (fma.f32 x x -1)))) (cbrt.f32 (fma.f32 x x 1))) |
(/.f32 (cbrt.f32 (sqrt.f32 (fma.f32 x x -1))) (/.f32 (cbrt.f32 (fma.f32 x x 1)) (cbrt.f32 (+.f32 -1 (pow.f32 x 4))))) |
(*.f32 (/.f32 (cbrt.f32 (+.f32 -1 (pow.f32 x 4))) (cbrt.f32 (fma.f32 x x 1))) (cbrt.f32 (sqrt.f32 (fma.f32 x x -1)))) |
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(/.f32 (+.f32 -1 (pow.f32 x 8)) (*.f32 (fma.f32 x x 1) (+.f32 (pow.f32 x 4) 1))) |
(/.f32 (-.f32 (pow.f32 (pow.f32 x 6) 3) 1) (*.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1)) (+.f32 (*.f32 (pow.f32 x 6) (pow.f32 x 6)) (+.f32 1 (pow.f32 x 6))))) |
(/.f32 (+.f32 (pow.f32 (pow.f32 x 6) 3) -1) (*.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1)) (+.f32 (+.f32 (pow.f32 x 6) 1) (pow.f32 x 12)))) |
(/.f32 (+.f32 -1 (pow.f32 (pow.f32 x 6) 3)) (*.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1)) (+.f32 (pow.f32 x 6) (+.f32 1 (pow.f32 x 12))))) |
(/.f32 (-.f32 (pow.f32 (pow.f32 x 6) 3) 1) (*.f32 (-.f32 (+.f32 1 (pow.f32 x 4)) (*.f32 (*.f32 x x) -1)) (+.f32 (*.f32 (pow.f32 x 6) (pow.f32 x 6)) (+.f32 1 (pow.f32 x 6))))) |
(/.f32 (+.f32 (pow.f32 (pow.f32 x 6) 3) -1) (*.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1)) (+.f32 (+.f32 (pow.f32 x 6) 1) (pow.f32 x 12)))) |
(/.f32 (+.f32 -1 (pow.f32 (pow.f32 x 6) 3)) (*.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1)) (+.f32 (pow.f32 x 6) (+.f32 1 (pow.f32 x 12))))) |
(/.f32 (-.f32 (pow.f32 (pow.f32 x 4) 3) 1) (*.f32 (fma.f32 x x 1) (+.f32 (*.f32 (*.f32 x x) (pow.f32 x 6)) (+.f32 1 (pow.f32 x 4))))) |
(/.f32 (+.f32 (pow.f32 (pow.f32 x 4) 3) -1) (*.f32 (fma.f32 x x 1) (fma.f32 (*.f32 x x) (pow.f32 x 6) (+.f32 (pow.f32 x 4) 1)))) |
(/.f32 (+.f32 -1 (pow.f32 x 12)) (*.f32 (fma.f32 x x 1) (+.f32 1 (+.f32 (pow.f32 x 4) (pow.f32 x 8))))) |
(/.f32 (+.f32 (neg.f32 (pow.f32 x 4)) 1) (neg.f32 (fma.f32 x x 1))) |
(/.f32 (-.f32 1 (pow.f32 x 4)) (neg.f32 (fma.f32 x x 1))) |
(/.f32 (+.f32 (neg.f32 (pow.f32 x 6)) 1) (neg.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1)))) |
(/.f32 (+.f32 1 (neg.f32 (pow.f32 x 6))) (neg.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1)))) |
(/.f32 (-.f32 1 (pow.f32 x 6)) (-.f32 (neg.f32 (fma.f32 x x 1)) (pow.f32 x 4))) |
(/.f32 (*.f32 (sqrt.f32 (fma.f32 x x -1)) (sqrt.f32 (+.f32 -1 (pow.f32 x 6)))) (sqrt.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1)))) |
(/.f32 (sqrt.f32 (fma.f32 x x -1)) (/.f32 (sqrt.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1))) (sqrt.f32 (+.f32 -1 (pow.f32 x 6))))) |
(*.f32 (/.f32 (sqrt.f32 (+.f32 -1 (pow.f32 x 6))) (sqrt.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1)))) (sqrt.f32 (fma.f32 x x -1))) |
(/.f32 (*.f32 (sqrt.f32 (fma.f32 x x -1)) (sqrt.f32 (+.f32 (pow.f32 x 4) -1))) (sqrt.f32 (fma.f32 x x 1))) |
(/.f32 (*.f32 (sqrt.f32 (fma.f32 x x -1)) (sqrt.f32 (+.f32 -1 (pow.f32 x 4)))) (sqrt.f32 (fma.f32 x x 1))) |
(*.f32 (/.f32 (sqrt.f32 (+.f32 -1 (pow.f32 x 4))) (sqrt.f32 (fma.f32 x x 1))) (sqrt.f32 (fma.f32 x x -1))) |
(/.f32 (*.f32 (cbrt.f32 (pow.f32 (fma.f32 x x -1) 2)) (cbrt.f32 (+.f32 -1 (pow.f32 x 6)))) (cbrt.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1)))) |
(/.f32 (cbrt.f32 (+.f32 -1 (pow.f32 x 6))) (/.f32 (cbrt.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1))) (cbrt.f32 (pow.f32 (fma.f32 x x -1) 2)))) |
(/.f32 (cbrt.f32 (pow.f32 (fma.f32 x x -1) 2)) (/.f32 (cbrt.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1))) (cbrt.f32 (+.f32 -1 (pow.f32 x 6))))) |
(/.f32 (*.f32 (cbrt.f32 (pow.f32 (fma.f32 x x -1) 2)) (cbrt.f32 (+.f32 (pow.f32 x 4) -1))) (cbrt.f32 (fma.f32 x x 1))) |
(/.f32 (cbrt.f32 (pow.f32 (fma.f32 x x -1) 2)) (/.f32 (cbrt.f32 (fma.f32 x x 1)) (cbrt.f32 (+.f32 -1 (pow.f32 x 4))))) |
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (fma.f32 x x -1) 2)) (cbrt.f32 (fma.f32 x x 1))) (cbrt.f32 (+.f32 -1 (pow.f32 x 4)))) |
(/.f32 (*.f32 (+.f32 x 1) (-.f32 (pow.f32 x 3) 1)) (+.f32 (fma.f32 x x 1) x)) |
(/.f32 (+.f32 x 1) (/.f32 (+.f32 x (fma.f32 x x 1)) (+.f32 (pow.f32 x 3) -1))) |
(*.f32 (/.f32 (+.f32 x 1) (+.f32 x (fma.f32 x x 1))) (+.f32 -1 (pow.f32 x 3))) |
(/.f32 (*.f32 (+.f32 x -1) (+.f32 1 (pow.f32 x 3))) (-.f32 (fma.f32 x x 1) x)) |
(/.f32 (+.f32 -1 x) (/.f32 (-.f32 (fma.f32 x x 1) x) (+.f32 1 (pow.f32 x 3)))) |
(*.f32 (/.f32 (+.f32 -1 x) (-.f32 (fma.f32 x x 1) x)) (+.f32 1 (pow.f32 x 3))) |
(/.f32 (*.f32 (+.f32 (neg.f32 (pow.f32 x 4)) 1) 1) (neg.f32 (fma.f32 x x 1))) |
(/.f32 (-.f32 1 (pow.f32 x 4)) (neg.f32 (fma.f32 x x 1))) |
(/.f32 (*.f32 (+.f32 (neg.f32 (pow.f32 x 6)) 1) 1) (neg.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1)))) |
(/.f32 (+.f32 1 (neg.f32 (pow.f32 x 6))) (neg.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1)))) |
(/.f32 (-.f32 1 (pow.f32 x 6)) (-.f32 (neg.f32 (fma.f32 x x 1)) (pow.f32 x 4))) |
(/.f32 (*.f32 (sqrt.f32 (+.f32 -1 (pow.f32 x 6))) (sqrt.f32 (fma.f32 x x -1))) (sqrt.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1)))) |
(/.f32 (sqrt.f32 (fma.f32 x x -1)) (/.f32 (sqrt.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1))) (sqrt.f32 (+.f32 -1 (pow.f32 x 6))))) |
(*.f32 (/.f32 (sqrt.f32 (+.f32 -1 (pow.f32 x 6))) (sqrt.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1)))) (sqrt.f32 (fma.f32 x x -1))) |
(/.f32 (*.f32 (sqrt.f32 (+.f32 (pow.f32 x 4) -1)) (sqrt.f32 (fma.f32 x x -1))) (sqrt.f32 (fma.f32 x x 1))) |
(/.f32 (*.f32 (sqrt.f32 (fma.f32 x x -1)) (sqrt.f32 (+.f32 -1 (pow.f32 x 4)))) (sqrt.f32 (fma.f32 x x 1))) |
(*.f32 (/.f32 (sqrt.f32 (+.f32 -1 (pow.f32 x 4))) (sqrt.f32 (fma.f32 x x 1))) (sqrt.f32 (fma.f32 x x -1))) |
(/.f32 (*.f32 (cbrt.f32 (+.f32 -1 (pow.f32 x 6))) (cbrt.f32 (pow.f32 (fma.f32 x x -1) 2))) (cbrt.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1)))) |
(/.f32 (cbrt.f32 (+.f32 -1 (pow.f32 x 6))) (/.f32 (cbrt.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1))) (cbrt.f32 (pow.f32 (fma.f32 x x -1) 2)))) |
(/.f32 (cbrt.f32 (pow.f32 (fma.f32 x x -1) 2)) (/.f32 (cbrt.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1))) (cbrt.f32 (+.f32 -1 (pow.f32 x 6))))) |
(/.f32 (*.f32 (cbrt.f32 (+.f32 (pow.f32 x 4) -1)) (cbrt.f32 (pow.f32 (fma.f32 x x -1) 2))) (cbrt.f32 (fma.f32 x x 1))) |
(/.f32 (cbrt.f32 (pow.f32 (fma.f32 x x -1) 2)) (/.f32 (cbrt.f32 (fma.f32 x x 1)) (cbrt.f32 (+.f32 -1 (pow.f32 x 4))))) |
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (fma.f32 x x -1) 2)) (cbrt.f32 (fma.f32 x x 1))) (cbrt.f32 (+.f32 -1 (pow.f32 x 4)))) |
(/.f32 (*.f32 (cbrt.f32 (+.f32 -1 (pow.f32 x 6))) (*.f32 (sqrt.f32 (fma.f32 x x -1)) (cbrt.f32 (sqrt.f32 (fma.f32 x x -1))))) (cbrt.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1)))) |
(*.f32 (/.f32 (cbrt.f32 (+.f32 -1 (pow.f32 x 6))) (cbrt.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1)))) (pow.f32 (cbrt.f32 (sqrt.f32 (fma.f32 x x -1))) 4)) |
(/.f32 (*.f32 (cbrt.f32 (+.f32 (pow.f32 x 4) -1)) (*.f32 (sqrt.f32 (fma.f32 x x -1)) (cbrt.f32 (sqrt.f32 (fma.f32 x x -1))))) (cbrt.f32 (fma.f32 x x 1))) |
(/.f32 (cbrt.f32 (+.f32 -1 (pow.f32 x 4))) (/.f32 (cbrt.f32 (fma.f32 x x 1)) (*.f32 (sqrt.f32 (fma.f32 x x -1)) (cbrt.f32 (sqrt.f32 (fma.f32 x x -1)))))) |
(*.f32 (/.f32 (cbrt.f32 (+.f32 -1 (pow.f32 x 4))) (cbrt.f32 (fma.f32 x x 1))) (pow.f32 (cbrt.f32 (sqrt.f32 (fma.f32 x x -1))) 4)) |
(/.f32 (*.f32 (+.f32 1 (pow.f32 x 3)) (+.f32 x -1)) (-.f32 (fma.f32 x x 1) x)) |
(/.f32 (+.f32 -1 x) (/.f32 (-.f32 (fma.f32 x x 1) x) (+.f32 1 (pow.f32 x 3)))) |
(*.f32 (/.f32 (+.f32 -1 x) (-.f32 (fma.f32 x x 1) x)) (+.f32 1 (pow.f32 x 3))) |
(/.f32 (*.f32 (-.f32 (pow.f32 x 3) 1) (+.f32 x 1)) (+.f32 (fma.f32 x x 1) x)) |
(/.f32 (+.f32 x 1) (/.f32 (+.f32 x (fma.f32 x x 1)) (+.f32 (pow.f32 x 3) -1))) |
(*.f32 (/.f32 (+.f32 x 1) (+.f32 x (fma.f32 x x 1))) (+.f32 -1 (pow.f32 x 3))) |
(/.f32 (*.f32 (-.f32 (*.f32 (*.f32 x x) (pow.f32 x 6)) 1) (/.f32 1 (fma.f32 x x 1))) (+.f32 1 (pow.f32 x 4))) |
(/.f32 (fma.f32 (*.f32 x x) (pow.f32 x 6) -1) (*.f32 (fma.f32 x x 1) (+.f32 (pow.f32 x 4) 1))) |
(/.f32 (+.f32 -1 (pow.f32 x 8)) (*.f32 (fma.f32 x x 1) (+.f32 (pow.f32 x 4) 1))) |
(/.f32 (*.f32 (-.f32 (pow.f32 (pow.f32 x 4) 3) 1) (/.f32 1 (fma.f32 x x 1))) (+.f32 (*.f32 (*.f32 x x) (pow.f32 x 6)) (+.f32 1 (pow.f32 x 4)))) |
(/.f32 (+.f32 (pow.f32 (pow.f32 x 4) 3) -1) (*.f32 (fma.f32 x x 1) (fma.f32 (*.f32 x x) (pow.f32 x 6) (+.f32 (pow.f32 x 4) 1)))) |
(/.f32 (+.f32 -1 (pow.f32 x 12)) (*.f32 (fma.f32 x x 1) (+.f32 1 (+.f32 (pow.f32 x 4) (pow.f32 x 8))))) |
(/.f32 (*.f32 (-.f32 (*.f32 (pow.f32 x 6) (pow.f32 x 6)) 1) (/.f32 1 (+.f32 (pow.f32 x 4) (fma.f32 x x 1)))) (+.f32 1 (pow.f32 x 6))) |
(/.f32 (+.f32 (pow.f32 x 12) -1) (*.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1)) (+.f32 (pow.f32 x 6) 1))) |
(/.f32 (+.f32 -1 (pow.f32 x 12)) (*.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1)) (+.f32 (pow.f32 x 6) 1))) |
(/.f32 (*.f32 (-.f32 (pow.f32 (pow.f32 x 6) 3) 1) (/.f32 1 (+.f32 (pow.f32 x 4) (fma.f32 x x 1)))) (+.f32 (*.f32 (pow.f32 x 6) (pow.f32 x 6)) (+.f32 1 (pow.f32 x 6)))) |
(/.f32 (+.f32 (pow.f32 (pow.f32 x 6) 3) -1) (*.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1)) (+.f32 (+.f32 (pow.f32 x 6) 1) (pow.f32 x 12)))) |
(/.f32 (+.f32 -1 (pow.f32 (pow.f32 x 6) 3)) (*.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1)) (+.f32 (pow.f32 x 6) (+.f32 1 (pow.f32 x 12))))) |
(/.f32 (/.f32 (+.f32 (pow.f32 x 4) -1) 1) (fma.f32 x x 1)) |
(fma.f32 x x -1) |
(/.f32 (/.f32 (+.f32 (pow.f32 x 4) -1) (sqrt.f32 (fma.f32 x x 1))) (sqrt.f32 (fma.f32 x x 1))) |
(fma.f32 x x -1) |
(/.f32 (/.f32 (+.f32 (pow.f32 x 4) -1) (*.f32 (cbrt.f32 (fma.f32 x x 1)) (cbrt.f32 (fma.f32 x x 1)))) (cbrt.f32 (fma.f32 x x 1))) |
(fma.f32 x x -1) |
(/.f32 (/.f32 (+.f32 -1 (pow.f32 x 6)) 1) (+.f32 (pow.f32 x 4) (fma.f32 x x 1))) |
(/.f32 (*.f32 (+.f32 -1 (pow.f32 x 6)) 1) (+.f32 (pow.f32 x 4) (fma.f32 x x 1))) |
(/.f32 (+.f32 -1 (pow.f32 x 6)) (+.f32 (pow.f32 x 4) (fma.f32 x x 1))) |
(/.f32 (/.f32 (+.f32 -1 (pow.f32 x 6)) (sqrt.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1)))) (sqrt.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1)))) |
(/.f32 (*.f32 (+.f32 -1 (pow.f32 x 6)) 1) (+.f32 (pow.f32 x 4) (fma.f32 x x 1))) |
(/.f32 (+.f32 -1 (pow.f32 x 6)) (+.f32 (pow.f32 x 4) (fma.f32 x x 1))) |
(/.f32 (/.f32 (+.f32 -1 (pow.f32 x 6)) (*.f32 (cbrt.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1))) (cbrt.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1))))) (cbrt.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1)))) |
(/.f32 (*.f32 (+.f32 -1 (pow.f32 x 6)) 1) (+.f32 (pow.f32 x 4) (fma.f32 x x 1))) |
(/.f32 (+.f32 -1 (pow.f32 x 6)) (+.f32 (pow.f32 x 4) (fma.f32 x x 1))) |
(pow.f32 (fma.f32 x x -1) 1) |
(fma.f32 x x -1) |
(pow.f32 (sqrt.f32 (fma.f32 x x -1)) 2) |
(fma.f32 x x -1) |
(pow.f32 (cbrt.f32 (fma.f32 x x -1)) 3) |
(fma.f32 x x -1) |
(pow.f32 (pow.f32 (fma.f32 x x -1) 2) 1/2) |
(sqrt.f32 (pow.f32 (fma.f32 x x -1) 2)) |
(fabs.f32 (fma.f32 x x -1)) |
(pow.f32 (pow.f32 (fma.f32 x x -1) 3) 1/3) |
(fma.f32 x x -1) |
(neg.f32 (/.f32 (+.f32 (pow.f32 x 4) -1) (neg.f32 (fma.f32 x x 1)))) |
(/.f32 (-.f32 1 (pow.f32 x 4)) (neg.f32 (fma.f32 x x 1))) |
(neg.f32 (/.f32 (+.f32 -1 (pow.f32 x 6)) (neg.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1))))) |
(/.f32 (+.f32 1 (neg.f32 (pow.f32 x 6))) (neg.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1)))) |
(/.f32 (-.f32 1 (pow.f32 x 6)) (-.f32 (neg.f32 (fma.f32 x x 1)) (pow.f32 x 4))) |
(sqrt.f32 (pow.f32 (fma.f32 x x -1) 2)) |
(fabs.f32 (fma.f32 x x -1)) |
(log.f32 (exp.f32 (fma.f32 x x -1))) |
(fma.f32 x x -1) |
(log.f32 (+.f32 1 (expm1.f32 (fma.f32 x x -1)))) |
(fma.f32 x x -1) |
(cbrt.f32 (pow.f32 (fma.f32 x x -1) 3)) |
(fma.f32 x x -1) |
(expm1.f32 (*.f32 (log.f32 x) 2)) |
(expm1.f32 (*.f32 2 (log.f32 x))) |
(exp.f32 (log.f32 (fma.f32 x x -1))) |
(fma.f32 x x -1) |
(log1p.f32 (expm1.f32 (fma.f32 x x -1))) |
(fma.f32 x x -1) |
(fma.f32 x x -1) |
(fma.f32 1 (*.f32 x x) -1) |
(fma.f32 x x -1) |
(fma.f32 (cbrt.f32 (pow.f32 x 4)) (pow.f32 (cbrt.f32 x) 2) -1) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.15% | (+.f32 x (sqrt.f32 (fma.f32 x x -1))) |
| ✓ | 0.39% | (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) |
| ✓ | 44.95% | (sqrt.f32 (fma.f32 x x -1)) |
Compiled 27 to 16 computations (40.7% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) |
| 0.0ms | x | @ | 0 | (sqrt.f32 (fma.f32 x x -1)) |
| 0.0ms | x | @ | inf | (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) |
| 0.0ms | x | @ | -inf | (sqrt.f32 (fma.f32 x x -1)) |
| 0.0ms | x | @ | 0 | (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) |
| 1× | batch-egg-rewrite |
| 1984× | add-sqr-sqrt |
| 1966× | *-un-lft-identity |
| 1826× | add-cube-cbrt |
| 1808× | add-cbrt-cube |
| 198× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 55 |
| 1 | 200 | 55 |
| 2 | 2461 | 55 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f32 (fma.f32 x x -1)) |
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) |
(+.f32 x (sqrt.f32 (fma.f32 x x -1))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (sqrt.f32 (fma.f32 x x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (fma.f32 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (sqrt.f32 (fma.f32 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (fma.f32 x x -1) 1/4) (pow.f32 (fma.f32 x x -1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (sqrt.f32 (fma.f32 x x -1))) (cbrt.f32 (fma.f32 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (fma.f32 x x -1)) (cbrt.f32 (sqrt.f32 (fma.f32 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 2)) (sqrt.f32 (cbrt.f32 (fma.f32 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 1 1/2) (sqrt.f32 (fma.f32 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 2) 1/2) (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (fma.f32 x x -1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (fma.f32 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (fma.f32 x x -1) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (sqrt.f32 (fma.f32 x x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (fma.f32 x x -1) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (sqrt.f32 (fma.f32 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (sqrt.f32 (fma.f32 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (fma.f32 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (fma.f32 x x -1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (sqrt.f32 (fma.f32 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (sqrt.f32 (fma.f32 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (fma.f32 x x -1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sqrt.f32 (fma.f32 x x -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (sqrt.f32 (fma.f32 x x -1)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2)) (log.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2))) (log.f32 (fma.f32 x x (-.f32 (fma.f32 x x -1) (*.f32 x (sqrt.f32 (fma.f32 x x -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (-.f32 (*.f32 x x) (fma.f32 x x -1))) (log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2) (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (-.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (*.f32 x x) (-.f32 x (sqrt.f32 (fma.f32 x x -1)))) (/.f32 (fma.f32 x x -1) (-.f32 x (sqrt.f32 (fma.f32 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2) (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 (*.f32 x x) (fma.f32 x x -1)) (/.f32 1 (-.f32 x (sqrt.f32 (fma.f32 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)) (/.f32 1 (fma.f32 x x (-.f32 (fma.f32 x x -1) (*.f32 x (sqrt.f32 (fma.f32 x x -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))) (-.f32 (*.f32 x x) (fma.f32 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (fma.f32 x x (-.f32 (fma.f32 x x -1) (*.f32 x (sqrt.f32 (fma.f32 x x -1))))) (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 x x) (fma.f32 x x -1)) (-.f32 x (sqrt.f32 (fma.f32 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)) (fma.f32 x x (-.f32 (fma.f32 x x -1) (*.f32 x (sqrt.f32 (fma.f32 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)) (+.f32 (fma.f32 x x -1) (-.f32 (*.f32 x x) (*.f32 x (sqrt.f32 (fma.f32 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (fma.f32 x x -1) (*.f32 x x)) (-.f32 (sqrt.f32 (fma.f32 x x -1)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (-.f32 (*.f32 x x) (fma.f32 x x -1))) (neg.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2))) (neg.f32 (fma.f32 x x (-.f32 (fma.f32 x x -1) (*.f32 x (sqrt.f32 (fma.f32 x x -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2)) (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 1) (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 x (sqrt.f32 (fma.f32 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (sqrt.f32 (fma.f32 x x -1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (fma.f32 x x -1) 1/4) (pow.f32 (fma.f32 x x -1) 1/4) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 x) (sqrt.f32 x) (sqrt.f32 (fma.f32 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (fma.f32 x x -1)) (cbrt.f32 (sqrt.f32 (fma.f32 x x -1))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 x) 2) (cbrt.f32 x) (sqrt.f32 (fma.f32 x x -1))))))) |
| 1× | egg-herbie |
| 1220× | unswap-sqr |
| 768× | distribute-lft-in |
| 738× | distribute-rgt-in |
| 642× | associate-/l* |
| 590× | associate-/r* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 275 | 3517 |
| 1 | 660 | 3363 |
| 2 | 2439 | 3349 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f32 -1) |
(+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1)))) |
(+.f32 (*.f32 -1/8 (/.f32 (pow.f32 x 4) (pow.f32 (sqrt.f32 -1) 3))) (+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1))))) |
(+.f32 (*.f32 -1/8 (/.f32 (pow.f32 x 4) (pow.f32 (sqrt.f32 -1) 3))) (+.f32 (sqrt.f32 -1) (+.f32 (*.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1))) (*.f32 1/16 (/.f32 (pow.f32 x 6) (pow.f32 (sqrt.f32 -1) 5)))))) |
x |
(-.f32 x (*.f32 1/2 (/.f32 1 x))) |
(-.f32 x (+.f32 (*.f32 1/2 (/.f32 1 x)) (*.f32 1/8 (/.f32 1 (pow.f32 x 3))))) |
(-.f32 x (+.f32 (*.f32 1/2 (/.f32 1 x)) (+.f32 (*.f32 1/16 (/.f32 1 (pow.f32 x 5))) (*.f32 1/8 (/.f32 1 (pow.f32 x 3)))))) |
(*.f32 -1 x) |
(+.f32 (*.f32 -1 x) (*.f32 1/2 (/.f32 1 x))) |
(+.f32 (*.f32 1/2 (/.f32 1 x)) (+.f32 (*.f32 1/8 (/.f32 1 (pow.f32 x 3))) (*.f32 -1 x))) |
(+.f32 (*.f32 1/2 (/.f32 1 x)) (+.f32 (*.f32 1/16 (/.f32 1 (pow.f32 x 5))) (+.f32 (*.f32 1/8 (/.f32 1 (pow.f32 x 3))) (*.f32 -1 x)))) |
(log.f32 (sqrt.f32 -1)) |
(+.f32 (/.f32 x (sqrt.f32 -1)) (log.f32 (sqrt.f32 -1))) |
(+.f32 (*.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 (sqrt.f32 -1) 3))) (+.f32 (/.f32 x (sqrt.f32 -1)) (log.f32 (sqrt.f32 -1)))) |
(+.f32 (*.f32 3/40 (/.f32 (pow.f32 x 5) (pow.f32 (sqrt.f32 -1) 5))) (+.f32 (*.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 (sqrt.f32 -1) 3))) (+.f32 (/.f32 x (sqrt.f32 -1)) (log.f32 (sqrt.f32 -1))))) |
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x)))) |
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))) |
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (+.f32 (*.f32 3/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))) |
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (+.f32 (*.f32 3/32 (/.f32 1 (pow.f32 x 4))) (+.f32 (*.f32 5/96 (/.f32 1 (pow.f32 x 6))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))) |
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x))) |
(+.f32 (log.f32 (/.f32 -1 x)) (+.f32 (log.f32 -1/2) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))) |
(+.f32 (log.f32 (/.f32 -1 x)) (+.f32 (log.f32 -1/2) (+.f32 (*.f32 3/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))) |
(+.f32 (log.f32 (/.f32 -1 x)) (+.f32 (log.f32 -1/2) (+.f32 (*.f32 3/32 (/.f32 1 (pow.f32 x 4))) (+.f32 (*.f32 5/96 (/.f32 1 (pow.f32 x 6))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))))) |
(sqrt.f32 -1) |
(+.f32 (sqrt.f32 -1) x) |
(+.f32 (sqrt.f32 -1) (+.f32 (*.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1))) x)) |
(+.f32 (*.f32 -1/8 (/.f32 (pow.f32 x 4) (pow.f32 (sqrt.f32 -1) 3))) (+.f32 (sqrt.f32 -1) (+.f32 (*.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1))) x))) |
(*.f32 2 x) |
(-.f32 (*.f32 2 x) (*.f32 1/2 (/.f32 1 x))) |
(-.f32 (*.f32 2 x) (+.f32 (*.f32 1/2 (/.f32 1 x)) (*.f32 1/8 (/.f32 1 (pow.f32 x 3))))) |
(-.f32 (*.f32 2 x) (+.f32 (*.f32 1/2 (/.f32 1 x)) (+.f32 (*.f32 1/16 (/.f32 1 (pow.f32 x 5))) (*.f32 1/8 (/.f32 1 (pow.f32 x 3)))))) |
(/.f32 1/2 x) |
(+.f32 (*.f32 1/8 (/.f32 1 (pow.f32 x 3))) (*.f32 1/2 (/.f32 1 x))) |
(+.f32 (*.f32 1/16 (/.f32 1 (pow.f32 x 5))) (+.f32 (*.f32 1/8 (/.f32 1 (pow.f32 x 3))) (*.f32 1/2 (/.f32 1 x)))) |
(+.f32 (*.f32 1/16 (/.f32 1 (pow.f32 x 5))) (+.f32 (*.f32 1/8 (/.f32 1 (pow.f32 x 3))) (+.f32 (*.f32 1/2 (/.f32 1 x)) (*.f32 5/128 (/.f32 1 (pow.f32 x 7)))))) |
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (fma.f32 x x -1)))) 1) |
(*.f32 (sqrt.f32 (fma.f32 x x -1)) 1) |
(*.f32 1 (sqrt.f32 (fma.f32 x x -1))) |
(*.f32 (pow.f32 (fma.f32 x x -1) 1/4) (pow.f32 (fma.f32 x x -1) 1/4)) |
(*.f32 (cbrt.f32 (sqrt.f32 (fma.f32 x x -1))) (cbrt.f32 (fma.f32 x x -1))) |
(*.f32 (cbrt.f32 (fma.f32 x x -1)) (cbrt.f32 (sqrt.f32 (fma.f32 x x -1)))) |
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 2)) (sqrt.f32 (cbrt.f32 (fma.f32 x x -1)))) |
(*.f32 (pow.f32 1 1/2) (sqrt.f32 (fma.f32 x x -1))) |
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 2) 1/2) (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 1/2)) |
(pow.f32 (fma.f32 x x -1) 1/2) |
(pow.f32 (sqrt.f32 (fma.f32 x x -1)) 1) |
(pow.f32 (pow.f32 (fma.f32 x x -1) 1/4) 2) |
(pow.f32 (cbrt.f32 (sqrt.f32 (fma.f32 x x -1))) 3) |
(pow.f32 (pow.f32 (fma.f32 x x -1) 3/2) 1/3) |
(fabs.f32 (sqrt.f32 (fma.f32 x x -1))) |
(log.f32 (exp.f32 (sqrt.f32 (fma.f32 x x -1)))) |
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (fma.f32 x x -1))))) |
(cbrt.f32 (pow.f32 (fma.f32 x x -1) 3/2)) |
(expm1.f32 (log1p.f32 (sqrt.f32 (fma.f32 x x -1)))) |
(exp.f32 (log.f32 (sqrt.f32 (fma.f32 x x -1)))) |
(exp.f32 (*.f32 (log.f32 (fma.f32 x x -1)) 1/2)) |
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (fma.f32 x x -1))) 1)) |
(log1p.f32 (expm1.f32 (sqrt.f32 (fma.f32 x x -1)))) |
(+.f32 0 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) |
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2)) (log.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) |
(+.f32 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) |
(-.f32 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2))) (log.f32 (fma.f32 x x (-.f32 (fma.f32 x x -1) (*.f32 x (sqrt.f32 (fma.f32 x x -1))))))) |
(-.f32 (log.f32 (-.f32 (*.f32 x x) (fma.f32 x x -1))) (log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))))) |
(-.f32 (exp.f32 (log1p.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) 1) |
(*.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 1) |
(*.f32 1 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) |
(*.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) |
(*.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2)) |
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2) (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) |
(pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 1) |
(pow.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2) |
(pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 3) |
(pow.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 3) 1/3) |
(sqrt.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2)) |
(cbrt.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 3)) |
(expm1.f32 (log1p.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) |
(exp.f32 (log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) |
(exp.f32 (*.f32 (log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 1)) |
(log1p.f32 (-.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 1)) |
(-.f32 (exp.f32 (log1p.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 1) |
(-.f32 (/.f32 (*.f32 x x) (-.f32 x (sqrt.f32 (fma.f32 x x -1)))) (/.f32 (fma.f32 x x -1) (-.f32 x (sqrt.f32 (fma.f32 x x -1))))) |
(*.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 1) |
(*.f32 1 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) |
(*.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) |
(*.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2)) |
(*.f32 (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2) (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) |
(*.f32 (-.f32 (*.f32 x x) (fma.f32 x x -1)) (/.f32 1 (-.f32 x (sqrt.f32 (fma.f32 x x -1))))) |
(*.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)) (/.f32 1 (fma.f32 x x (-.f32 (fma.f32 x x -1) (*.f32 x (sqrt.f32 (fma.f32 x x -1))))))) |
(/.f32 1 (/.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))) (-.f32 (*.f32 x x) (fma.f32 x x -1)))) |
(/.f32 1 (/.f32 (fma.f32 x x (-.f32 (fma.f32 x x -1) (*.f32 x (sqrt.f32 (fma.f32 x x -1))))) (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)))) |
(/.f32 (-.f32 (*.f32 x x) (fma.f32 x x -1)) (-.f32 x (sqrt.f32 (fma.f32 x x -1)))) |
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)) (fma.f32 x x (-.f32 (fma.f32 x x -1) (*.f32 x (sqrt.f32 (fma.f32 x x -1)))))) |
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)) (+.f32 (fma.f32 x x -1) (-.f32 (*.f32 x x) (*.f32 x (sqrt.f32 (fma.f32 x x -1)))))) |
(/.f32 (-.f32 (fma.f32 x x -1) (*.f32 x x)) (-.f32 (sqrt.f32 (fma.f32 x x -1)) x)) |
(/.f32 (neg.f32 (-.f32 (*.f32 x x) (fma.f32 x x -1))) (neg.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))))) |
(/.f32 (neg.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2))) (neg.f32 (fma.f32 x x (-.f32 (fma.f32 x x -1) (*.f32 x (sqrt.f32 (fma.f32 x x -1))))))) |
(pow.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 1) |
(pow.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2) |
(pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 3) |
(pow.f32 (pow.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 3) 1/3) |
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2)) (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) |
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) |
(pow.f32 (exp.f32 1) (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) |
(sqrt.f32 (pow.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 2)) |
(log.f32 (exp.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) |
(log.f32 (+.f32 1 (expm1.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) |
(cbrt.f32 (pow.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 3)) |
(expm1.f32 (log1p.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) |
(exp.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) |
(log1p.f32 (expm1.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) |
(fma.f32 1 x (sqrt.f32 (fma.f32 x x -1))) |
(fma.f32 1 (sqrt.f32 (fma.f32 x x -1)) x) |
(fma.f32 (pow.f32 (fma.f32 x x -1) 1/4) (pow.f32 (fma.f32 x x -1) 1/4) x) |
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) (sqrt.f32 (fma.f32 x x -1))) |
(fma.f32 (cbrt.f32 (fma.f32 x x -1)) (cbrt.f32 (sqrt.f32 (fma.f32 x x -1))) x) |
(fma.f32 (pow.f32 (cbrt.f32 x) 2) (cbrt.f32 x) (sqrt.f32 (fma.f32 x x -1))) |
| Outputs |
|---|
(sqrt.f32 -1) |
(+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1)))) |
(+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (*.f32 x x) (sqrt.f32 -1)))) |
(fma.f32 1/2 (/.f32 x (/.f32 (sqrt.f32 -1) x)) (sqrt.f32 -1)) |
(fma.f32 1/2 (*.f32 (/.f32 x (sqrt.f32 -1)) x) (sqrt.f32 -1)) |
(+.f32 (*.f32 -1/8 (/.f32 (pow.f32 x 4) (pow.f32 (sqrt.f32 -1) 3))) (+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1))))) |
(fma.f32 -1/8 (/.f32 (pow.f32 x 4) (pow.f32 (sqrt.f32 -1) 3)) (+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (*.f32 x x) (sqrt.f32 -1))))) |
(+.f32 (fma.f32 1/2 (/.f32 x (/.f32 (sqrt.f32 -1) x)) (sqrt.f32 -1)) (*.f32 1/8 (/.f32 (pow.f32 x 4) (sqrt.f32 -1)))) |
(+.f32 (fma.f32 1/2 (*.f32 (/.f32 x (sqrt.f32 -1)) x) (sqrt.f32 -1)) (/.f32 (/.f32 (pow.f32 x 4) 8) (sqrt.f32 -1))) |
(+.f32 (*.f32 -1/8 (/.f32 (pow.f32 x 4) (pow.f32 (sqrt.f32 -1) 3))) (+.f32 (sqrt.f32 -1) (+.f32 (*.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1))) (*.f32 1/16 (/.f32 (pow.f32 x 6) (pow.f32 (sqrt.f32 -1) 5)))))) |
(fma.f32 -1/8 (/.f32 (pow.f32 x 4) (pow.f32 (sqrt.f32 -1) 3)) (+.f32 (sqrt.f32 -1) (fma.f32 1/2 (/.f32 (*.f32 x x) (sqrt.f32 -1)) (*.f32 1/16 (/.f32 (pow.f32 x 6) (pow.f32 (sqrt.f32 -1) 5)))))) |
(+.f32 (*.f32 1/8 (/.f32 (pow.f32 x 4) (sqrt.f32 -1))) (+.f32 (sqrt.f32 -1) (fma.f32 1/2 (/.f32 x (/.f32 (sqrt.f32 -1) x)) (*.f32 1/16 (/.f32 (pow.f32 x 6) (pow.f32 (sqrt.f32 -1) 5)))))) |
(+.f32 (fma.f32 1/2 (*.f32 (/.f32 x (sqrt.f32 -1)) x) (sqrt.f32 -1)) (+.f32 (/.f32 (/.f32 (pow.f32 x 4) 8) (sqrt.f32 -1)) (*.f32 (/.f32 1/16 (pow.f32 (sqrt.f32 -1) 5)) (pow.f32 x 6)))) |
x |
(-.f32 x (*.f32 1/2 (/.f32 1 x))) |
(-.f32 x (/.f32 1/2 x)) |
(+.f32 x (/.f32 -1/2 x)) |
(-.f32 x (+.f32 (*.f32 1/2 (/.f32 1 x)) (*.f32 1/8 (/.f32 1 (pow.f32 x 3))))) |
(-.f32 x (+.f32 (/.f32 1/2 x) (/.f32 1/8 (pow.f32 x 3)))) |
(+.f32 x (-.f32 (/.f32 -1/2 x) (/.f32 1/8 (pow.f32 x 3)))) |
(-.f32 x (-.f32 (/.f32 1/2 x) (/.f32 -1/8 (pow.f32 x 3)))) |
(-.f32 x (+.f32 (*.f32 1/2 (/.f32 1 x)) (+.f32 (*.f32 1/16 (/.f32 1 (pow.f32 x 5))) (*.f32 1/8 (/.f32 1 (pow.f32 x 3)))))) |
(-.f32 x (+.f32 (/.f32 1/2 x) (+.f32 (/.f32 1/8 (pow.f32 x 3)) (/.f32 1/16 (pow.f32 x 5))))) |
(+.f32 x (-.f32 (/.f32 -1/2 x) (+.f32 (/.f32 1/8 (pow.f32 x 3)) (/.f32 1/16 (pow.f32 x 5))))) |
(+.f32 x (+.f32 (+.f32 (/.f32 -1/2 x) (/.f32 -1/8 (pow.f32 x 3))) (/.f32 -1/16 (pow.f32 x 5)))) |
(*.f32 -1 x) |
(neg.f32 x) |
(+.f32 (*.f32 -1 x) (*.f32 1/2 (/.f32 1 x))) |
(fma.f32 -1 x (/.f32 1/2 x)) |
(-.f32 (/.f32 1/2 x) x) |
(+.f32 (*.f32 1/2 (/.f32 1 x)) (+.f32 (*.f32 1/8 (/.f32 1 (pow.f32 x 3))) (*.f32 -1 x))) |
(+.f32 (/.f32 1/2 x) (+.f32 (/.f32 1/8 (pow.f32 x 3)) (neg.f32 x))) |
(+.f32 (/.f32 1/2 x) (-.f32 (/.f32 1/8 (pow.f32 x 3)) x)) |
(+.f32 (*.f32 1/2 (/.f32 1 x)) (+.f32 (*.f32 1/16 (/.f32 1 (pow.f32 x 5))) (+.f32 (*.f32 1/8 (/.f32 1 (pow.f32 x 3))) (*.f32 -1 x)))) |
(+.f32 (/.f32 1/2 x) (+.f32 (/.f32 1/16 (pow.f32 x 5)) (+.f32 (/.f32 1/8 (pow.f32 x 3)) (neg.f32 x)))) |
(+.f32 (/.f32 1/2 x) (+.f32 (/.f32 1/16 (pow.f32 x 5)) (-.f32 (/.f32 1/8 (pow.f32 x 3)) x))) |
(log.f32 (sqrt.f32 -1)) |
(+.f32 (/.f32 x (sqrt.f32 -1)) (log.f32 (sqrt.f32 -1))) |
(+.f32 (log.f32 (sqrt.f32 -1)) (/.f32 x (sqrt.f32 -1))) |
(+.f32 (*.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 (sqrt.f32 -1) 3))) (+.f32 (/.f32 x (sqrt.f32 -1)) (log.f32 (sqrt.f32 -1)))) |
(fma.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 (sqrt.f32 -1) 3)) (+.f32 (log.f32 (sqrt.f32 -1)) (/.f32 x (sqrt.f32 -1)))) |
(+.f32 (log.f32 (sqrt.f32 -1)) (+.f32 (/.f32 x (sqrt.f32 -1)) (*.f32 1/6 (/.f32 (pow.f32 x 3) (sqrt.f32 -1))))) |
(+.f32 (*.f32 3/40 (/.f32 (pow.f32 x 5) (pow.f32 (sqrt.f32 -1) 5))) (+.f32 (*.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 (sqrt.f32 -1) 3))) (+.f32 (/.f32 x (sqrt.f32 -1)) (log.f32 (sqrt.f32 -1))))) |
(fma.f32 3/40 (/.f32 (pow.f32 x 5) (pow.f32 (sqrt.f32 -1) 5)) (fma.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 (sqrt.f32 -1) 3)) (+.f32 (log.f32 (sqrt.f32 -1)) (/.f32 x (sqrt.f32 -1))))) |
(+.f32 (+.f32 (log.f32 (sqrt.f32 -1)) (/.f32 x (sqrt.f32 -1))) (fma.f32 3/40 (/.f32 (pow.f32 x 5) (pow.f32 (sqrt.f32 -1) 5)) (*.f32 1/6 (/.f32 (pow.f32 x 3) (sqrt.f32 -1))))) |
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x)))) |
(fma.f32 -1 (neg.f32 (log.f32 x)) (log.f32 2)) |
(+.f32 (log.f32 2) (log.f32 x)) |
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))) |
(-.f32 (fma.f32 -1 (neg.f32 (log.f32 x)) (log.f32 2)) (/.f32 1/4 (*.f32 x x))) |
(+.f32 (+.f32 (log.f32 2) (log.f32 x)) (/.f32 -1/4 (*.f32 x x))) |
(+.f32 (log.f32 2) (+.f32 (log.f32 x) (/.f32 -1/4 (*.f32 x x)))) |
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (+.f32 (*.f32 3/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))) |
(-.f32 (fma.f32 -1 (neg.f32 (log.f32 x)) (log.f32 2)) (+.f32 (/.f32 1/4 (*.f32 x x)) (/.f32 3/32 (pow.f32 x 4)))) |
(-.f32 (+.f32 (+.f32 (log.f32 2) (log.f32 x)) (/.f32 -1/4 (*.f32 x x))) (/.f32 3/32 (pow.f32 x 4))) |
(+.f32 (log.f32 2) (+.f32 (log.f32 x) (+.f32 (/.f32 -1/4 (*.f32 x x)) (/.f32 -3/32 (pow.f32 x 4))))) |
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (+.f32 (*.f32 3/32 (/.f32 1 (pow.f32 x 4))) (+.f32 (*.f32 5/96 (/.f32 1 (pow.f32 x 6))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))) |
(-.f32 (fma.f32 -1 (neg.f32 (log.f32 x)) (log.f32 2)) (+.f32 (/.f32 3/32 (pow.f32 x 4)) (+.f32 (/.f32 1/4 (*.f32 x x)) (/.f32 5/96 (pow.f32 x 6))))) |
(+.f32 (log.f32 x) (-.f32 (-.f32 (log.f32 2) (/.f32 3/32 (pow.f32 x 4))) (+.f32 (/.f32 1/4 (*.f32 x x)) (/.f32 5/96 (pow.f32 x 6))))) |
(+.f32 (log.f32 2) (+.f32 (log.f32 x) (-.f32 (+.f32 (/.f32 -1/4 (*.f32 x x)) (/.f32 -3/32 (pow.f32 x 4))) (/.f32 5/96 (pow.f32 x 6))))) |
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x))) |
(+.f32 (log.f32 (/.f32 -1 x)) (+.f32 (log.f32 -1/2) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))) |
(+.f32 (log.f32 (/.f32 -1 x)) (+.f32 (/.f32 1/4 (*.f32 x x)) (log.f32 -1/2))) |
(+.f32 (/.f32 1/4 (*.f32 x x)) (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x)))) |
(+.f32 (log.f32 (/.f32 -1 x)) (+.f32 (log.f32 -1/2) (+.f32 (*.f32 3/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))) |
(+.f32 (log.f32 (/.f32 -1 x)) (+.f32 (+.f32 (/.f32 1/4 (*.f32 x x)) (/.f32 3/32 (pow.f32 x 4))) (log.f32 -1/2))) |
(+.f32 (+.f32 (/.f32 1/4 (*.f32 x x)) (/.f32 3/32 (pow.f32 x 4))) (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x)))) |
(+.f32 (/.f32 1/4 (*.f32 x x)) (+.f32 (/.f32 3/32 (pow.f32 x 4)) (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x))))) |
(+.f32 (log.f32 (/.f32 -1 x)) (+.f32 (log.f32 -1/2) (+.f32 (*.f32 3/32 (/.f32 1 (pow.f32 x 4))) (+.f32 (*.f32 5/96 (/.f32 1 (pow.f32 x 6))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))))) |
(+.f32 (log.f32 (/.f32 -1 x)) (+.f32 (+.f32 (/.f32 3/32 (pow.f32 x 4)) (+.f32 (/.f32 1/4 (*.f32 x x)) (/.f32 5/96 (pow.f32 x 6)))) (log.f32 -1/2))) |
(+.f32 (log.f32 (/.f32 -1 x)) (+.f32 (+.f32 (+.f32 (/.f32 3/32 (pow.f32 x 4)) (log.f32 -1/2)) (/.f32 5/96 (pow.f32 x 6))) (/.f32 1/4 (*.f32 x x)))) |
(+.f32 (/.f32 1/4 (*.f32 x x)) (+.f32 (log.f32 (/.f32 -1 x)) (+.f32 (/.f32 5/96 (pow.f32 x 6)) (+.f32 (/.f32 3/32 (pow.f32 x 4)) (log.f32 -1/2))))) |
(sqrt.f32 -1) |
(+.f32 (sqrt.f32 -1) x) |
(+.f32 (sqrt.f32 -1) (+.f32 (*.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1))) x)) |
(+.f32 (sqrt.f32 -1) (fma.f32 1/2 (/.f32 (*.f32 x x) (sqrt.f32 -1)) x)) |
(+.f32 (sqrt.f32 -1) (fma.f32 1/2 (/.f32 x (/.f32 (sqrt.f32 -1) x)) x)) |
(+.f32 x (fma.f32 1/2 (*.f32 (/.f32 x (sqrt.f32 -1)) x) (sqrt.f32 -1))) |
(+.f32 (*.f32 -1/8 (/.f32 (pow.f32 x 4) (pow.f32 (sqrt.f32 -1) 3))) (+.f32 (sqrt.f32 -1) (+.f32 (*.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1))) x))) |
(fma.f32 -1/8 (/.f32 (pow.f32 x 4) (pow.f32 (sqrt.f32 -1) 3)) (+.f32 (sqrt.f32 -1) (fma.f32 1/2 (/.f32 (*.f32 x x) (sqrt.f32 -1)) x))) |
(+.f32 (*.f32 1/8 (/.f32 (pow.f32 x 4) (sqrt.f32 -1))) (+.f32 (sqrt.f32 -1) (fma.f32 1/2 (/.f32 x (/.f32 (sqrt.f32 -1) x)) x))) |
(+.f32 x (+.f32 (fma.f32 1/2 (*.f32 (/.f32 x (sqrt.f32 -1)) x) (sqrt.f32 -1)) (/.f32 (/.f32 (pow.f32 x 4) 8) (sqrt.f32 -1)))) |
(*.f32 2 x) |
(*.f32 x 2) |
(-.f32 (*.f32 2 x) (*.f32 1/2 (/.f32 1 x))) |
(-.f32 (*.f32 x 2) (/.f32 1/2 x)) |
(fma.f32 x 2 (/.f32 -1/2 x)) |
(-.f32 (*.f32 2 x) (+.f32 (*.f32 1/2 (/.f32 1 x)) (*.f32 1/8 (/.f32 1 (pow.f32 x 3))))) |
(-.f32 (*.f32 x 2) (+.f32 (/.f32 1/2 x) (/.f32 1/8 (pow.f32 x 3)))) |
(-.f32 (fma.f32 x 2 (/.f32 -1/2 x)) (/.f32 1/8 (pow.f32 x 3))) |
(+.f32 (fma.f32 x 2 (/.f32 -1/2 x)) (/.f32 -1/8 (pow.f32 x 3))) |
(-.f32 (*.f32 2 x) (+.f32 (*.f32 1/2 (/.f32 1 x)) (+.f32 (*.f32 1/16 (/.f32 1 (pow.f32 x 5))) (*.f32 1/8 (/.f32 1 (pow.f32 x 3)))))) |
(-.f32 (*.f32 x 2) (+.f32 (/.f32 1/2 x) (+.f32 (/.f32 1/8 (pow.f32 x 3)) (/.f32 1/16 (pow.f32 x 5))))) |
(-.f32 (-.f32 (fma.f32 x 2 (/.f32 -1/2 x)) (/.f32 1/8 (pow.f32 x 3))) (/.f32 1/16 (pow.f32 x 5))) |
(+.f32 (fma.f32 x 2 (/.f32 -1/2 x)) (+.f32 (/.f32 -1/16 (pow.f32 x 5)) (/.f32 -1/8 (pow.f32 x 3)))) |
(/.f32 1/2 x) |
(+.f32 (*.f32 1/8 (/.f32 1 (pow.f32 x 3))) (*.f32 1/2 (/.f32 1 x))) |
(+.f32 (/.f32 1/2 x) (/.f32 1/8 (pow.f32 x 3))) |
(+.f32 (*.f32 1/16 (/.f32 1 (pow.f32 x 5))) (+.f32 (*.f32 1/8 (/.f32 1 (pow.f32 x 3))) (*.f32 1/2 (/.f32 1 x)))) |
(+.f32 (/.f32 1/2 x) (+.f32 (/.f32 1/8 (pow.f32 x 3)) (/.f32 1/16 (pow.f32 x 5)))) |
(+.f32 (*.f32 1/16 (/.f32 1 (pow.f32 x 5))) (+.f32 (*.f32 1/8 (/.f32 1 (pow.f32 x 3))) (+.f32 (*.f32 1/2 (/.f32 1 x)) (*.f32 5/128 (/.f32 1 (pow.f32 x 7)))))) |
(+.f32 (/.f32 1/16 (pow.f32 x 5)) (+.f32 (/.f32 1/8 (pow.f32 x 3)) (+.f32 (/.f32 1/2 x) (/.f32 5/128 (pow.f32 x 7))))) |
(+.f32 (/.f32 1/8 (pow.f32 x 3)) (+.f32 (/.f32 1/16 (pow.f32 x 5)) (+.f32 (/.f32 1/2 x) (/.f32 5/128 (pow.f32 x 7))))) |
(+.f32 (/.f32 1/2 x) (+.f32 (/.f32 1/8 (pow.f32 x 3)) (+.f32 (/.f32 1/16 (pow.f32 x 5)) (/.f32 5/128 (pow.f32 x 7))))) |
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (fma.f32 x x -1)))) 1) |
(sqrt.f32 (fma.f32 x x -1)) |
(*.f32 (sqrt.f32 (fma.f32 x x -1)) 1) |
(sqrt.f32 (fma.f32 x x -1)) |
(*.f32 1 (sqrt.f32 (fma.f32 x x -1))) |
(sqrt.f32 (fma.f32 x x -1)) |
(*.f32 (pow.f32 (fma.f32 x x -1) 1/4) (pow.f32 (fma.f32 x x -1) 1/4)) |
(sqrt.f32 (fma.f32 x x -1)) |
(*.f32 (cbrt.f32 (sqrt.f32 (fma.f32 x x -1))) (cbrt.f32 (fma.f32 x x -1))) |
(*.f32 (cbrt.f32 (fma.f32 x x -1)) (cbrt.f32 (sqrt.f32 (fma.f32 x x -1)))) |
(*.f32 (cbrt.f32 (sqrt.f32 (fma.f32 x x -1))) (cbrt.f32 (fma.f32 x x -1))) |
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 2)) (sqrt.f32 (cbrt.f32 (fma.f32 x x -1)))) |
(*.f32 (fabs.f32 (cbrt.f32 (fma.f32 x x -1))) (sqrt.f32 (cbrt.f32 (fma.f32 x x -1)))) |
(*.f32 (pow.f32 1 1/2) (sqrt.f32 (fma.f32 x x -1))) |
(sqrt.f32 (fma.f32 x x -1)) |
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 2) 1/2) (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 1/2)) |
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 2)) (sqrt.f32 (cbrt.f32 (fma.f32 x x -1)))) |
(*.f32 (fabs.f32 (cbrt.f32 (fma.f32 x x -1))) (sqrt.f32 (cbrt.f32 (fma.f32 x x -1)))) |
(pow.f32 (fma.f32 x x -1) 1/2) |
(sqrt.f32 (fma.f32 x x -1)) |
(pow.f32 (sqrt.f32 (fma.f32 x x -1)) 1) |
(sqrt.f32 (fma.f32 x x -1)) |
(pow.f32 (pow.f32 (fma.f32 x x -1) 1/4) 2) |
(sqrt.f32 (fma.f32 x x -1)) |
(pow.f32 (cbrt.f32 (sqrt.f32 (fma.f32 x x -1))) 3) |
(sqrt.f32 (fma.f32 x x -1)) |
(pow.f32 (pow.f32 (fma.f32 x x -1) 3/2) 1/3) |
(cbrt.f32 (pow.f32 (fma.f32 x x -1) 3/2)) |
(fabs.f32 (sqrt.f32 (fma.f32 x x -1))) |
(sqrt.f32 (fma.f32 x x -1)) |
(log.f32 (exp.f32 (sqrt.f32 (fma.f32 x x -1)))) |
(sqrt.f32 (fma.f32 x x -1)) |
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (fma.f32 x x -1))))) |
(sqrt.f32 (fma.f32 x x -1)) |
(cbrt.f32 (pow.f32 (fma.f32 x x -1) 3/2)) |
(expm1.f32 (log1p.f32 (sqrt.f32 (fma.f32 x x -1)))) |
(sqrt.f32 (fma.f32 x x -1)) |
(exp.f32 (log.f32 (sqrt.f32 (fma.f32 x x -1)))) |
(sqrt.f32 (fma.f32 x x -1)) |
(exp.f32 (*.f32 (log.f32 (fma.f32 x x -1)) 1/2)) |
(sqrt.f32 (fma.f32 x x -1)) |
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (fma.f32 x x -1))) 1)) |
(sqrt.f32 (fma.f32 x x -1)) |
(log1p.f32 (expm1.f32 (sqrt.f32 (fma.f32 x x -1)))) |
(sqrt.f32 (fma.f32 x x -1)) |
(+.f32 0 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) |
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) |
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2)) (log.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) |
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) |
(+.f32 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) |
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) |
(-.f32 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2))) (log.f32 (fma.f32 x x (-.f32 (fma.f32 x x -1) (*.f32 x (sqrt.f32 (fma.f32 x x -1))))))) |
(-.f32 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2))) (log.f32 (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x -1))) (fma.f32 x x -1)))) |
(-.f32 (log.f32 (-.f32 (*.f32 x x) (fma.f32 x x -1))) (log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))))) |
(-.f32 (log.f32 (+.f32 (*.f32 x (-.f32 x x)) 1)) (log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))))) |
(-.f32 (exp.f32 (log1p.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) 1) |
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) |
(*.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 1) |
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) |
(*.f32 1 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) |
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) |
(*.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) |
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) |
(*.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2)) |
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) |
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2) (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) |
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) |
(pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 1) |
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) |
(pow.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2) |
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) |
(pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 3) |
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) |
(pow.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 3) 1/3) |
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) |
(sqrt.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2)) |
(fabs.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) |
(cbrt.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 3)) |
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) |
(expm1.f32 (log1p.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) |
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) |
(exp.f32 (log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) |
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) |
(exp.f32 (*.f32 (log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 1)) |
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) |
(log1p.f32 (-.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 1)) |
(log1p.f32 (+.f32 x (-.f32 (sqrt.f32 (fma.f32 x x -1)) 1))) |
(log1p.f32 (+.f32 (sqrt.f32 (fma.f32 x x -1)) (+.f32 x -1))) |
(log1p.f32 (+.f32 (sqrt.f32 (fma.f32 x x -1)) (+.f32 -1 x))) |
(-.f32 (exp.f32 (log1p.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 1) |
(+.f32 x (sqrt.f32 (fma.f32 x x -1))) |
(-.f32 (/.f32 (*.f32 x x) (-.f32 x (sqrt.f32 (fma.f32 x x -1)))) (/.f32 (fma.f32 x x -1) (-.f32 x (sqrt.f32 (fma.f32 x x -1))))) |
(/.f32 (-.f32 (*.f32 x x) (fma.f32 x x -1)) (-.f32 x (sqrt.f32 (fma.f32 x x -1)))) |
(/.f32 (+.f32 (*.f32 x (-.f32 x x)) 1) (-.f32 x (sqrt.f32 (fma.f32 x x -1)))) |
(*.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 1) |
(+.f32 x (sqrt.f32 (fma.f32 x x -1))) |
(*.f32 1 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) |
(+.f32 x (sqrt.f32 (fma.f32 x x -1))) |
(*.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) |
(+.f32 x (sqrt.f32 (fma.f32 x x -1))) |
(*.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2)) |
(+.f32 x (sqrt.f32 (fma.f32 x x -1))) |
(*.f32 (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2) (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) |
(+.f32 x (sqrt.f32 (fma.f32 x x -1))) |
(*.f32 (-.f32 (*.f32 x x) (fma.f32 x x -1)) (/.f32 1 (-.f32 x (sqrt.f32 (fma.f32 x x -1))))) |
(/.f32 (-.f32 (*.f32 x x) (fma.f32 x x -1)) (-.f32 x (sqrt.f32 (fma.f32 x x -1)))) |
(/.f32 (+.f32 (*.f32 x (-.f32 x x)) 1) (-.f32 x (sqrt.f32 (fma.f32 x x -1)))) |
(*.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)) (/.f32 1 (fma.f32 x x (-.f32 (fma.f32 x x -1) (*.f32 x (sqrt.f32 (fma.f32 x x -1))))))) |
(/.f32 1 (/.f32 (fma.f32 x x (-.f32 (fma.f32 x x -1) (*.f32 x (sqrt.f32 (fma.f32 x x -1))))) (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)))) |
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)) (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x -1))) (fma.f32 x x -1))) |
(/.f32 1 (/.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))) (-.f32 (*.f32 x x) (fma.f32 x x -1)))) |
(/.f32 (-.f32 (*.f32 x x) (fma.f32 x x -1)) (-.f32 x (sqrt.f32 (fma.f32 x x -1)))) |
(/.f32 (+.f32 (*.f32 x (-.f32 x x)) 1) (-.f32 x (sqrt.f32 (fma.f32 x x -1)))) |
(/.f32 1 (/.f32 (fma.f32 x x (-.f32 (fma.f32 x x -1) (*.f32 x (sqrt.f32 (fma.f32 x x -1))))) (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)))) |
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)) (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x -1))) (fma.f32 x x -1))) |
(/.f32 (-.f32 (*.f32 x x) (fma.f32 x x -1)) (-.f32 x (sqrt.f32 (fma.f32 x x -1)))) |
(/.f32 (+.f32 (*.f32 x (-.f32 x x)) 1) (-.f32 x (sqrt.f32 (fma.f32 x x -1)))) |
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)) (fma.f32 x x (-.f32 (fma.f32 x x -1) (*.f32 x (sqrt.f32 (fma.f32 x x -1)))))) |
(/.f32 1 (/.f32 (fma.f32 x x (-.f32 (fma.f32 x x -1) (*.f32 x (sqrt.f32 (fma.f32 x x -1))))) (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)))) |
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)) (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x -1))) (fma.f32 x x -1))) |
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)) (+.f32 (fma.f32 x x -1) (-.f32 (*.f32 x x) (*.f32 x (sqrt.f32 (fma.f32 x x -1)))))) |
(/.f32 1 (/.f32 (fma.f32 x x (-.f32 (fma.f32 x x -1) (*.f32 x (sqrt.f32 (fma.f32 x x -1))))) (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)))) |
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)) (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x -1))) (fma.f32 x x -1))) |
(/.f32 (-.f32 (fma.f32 x x -1) (*.f32 x x)) (-.f32 (sqrt.f32 (fma.f32 x x -1)) x)) |
(/.f32 (-.f32 (*.f32 x x) (fma.f32 x x -1)) (-.f32 x (sqrt.f32 (fma.f32 x x -1)))) |
(/.f32 (+.f32 (*.f32 x (-.f32 x x)) 1) (-.f32 x (sqrt.f32 (fma.f32 x x -1)))) |
(/.f32 (neg.f32 (-.f32 (*.f32 x x) (fma.f32 x x -1))) (neg.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))))) |
(/.f32 (-.f32 (*.f32 x x) (fma.f32 x x -1)) (-.f32 x (sqrt.f32 (fma.f32 x x -1)))) |
(/.f32 (+.f32 (*.f32 x (-.f32 x x)) 1) (-.f32 x (sqrt.f32 (fma.f32 x x -1)))) |
(/.f32 (neg.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2))) (neg.f32 (fma.f32 x x (-.f32 (fma.f32 x x -1) (*.f32 x (sqrt.f32 (fma.f32 x x -1))))))) |
(/.f32 1 (/.f32 (fma.f32 x x (-.f32 (fma.f32 x x -1) (*.f32 x (sqrt.f32 (fma.f32 x x -1))))) (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)))) |
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)) (fma.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x -1))) (fma.f32 x x -1))) |
(pow.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 1) |
(+.f32 x (sqrt.f32 (fma.f32 x x -1))) |
(pow.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2) |
(+.f32 x (sqrt.f32 (fma.f32 x x -1))) |
(pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 3) |
(+.f32 x (sqrt.f32 (fma.f32 x x -1))) |
(pow.f32 (pow.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 3) 1/3) |
(+.f32 x (sqrt.f32 (fma.f32 x x -1))) |
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2)) (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) |
(+.f32 x (sqrt.f32 (fma.f32 x x -1))) |
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) |
(+.f32 x (sqrt.f32 (fma.f32 x x -1))) |
(pow.f32 (exp.f32 1) (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) |
(+.f32 x (sqrt.f32 (fma.f32 x x -1))) |
(sqrt.f32 (pow.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 2)) |
(fabs.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) |
(log.f32 (exp.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) |
(+.f32 x (sqrt.f32 (fma.f32 x x -1))) |
(log.f32 (+.f32 1 (expm1.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) |
(+.f32 x (sqrt.f32 (fma.f32 x x -1))) |
(cbrt.f32 (pow.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 3)) |
(+.f32 x (sqrt.f32 (fma.f32 x x -1))) |
(expm1.f32 (log1p.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) |
(+.f32 x (sqrt.f32 (fma.f32 x x -1))) |
(exp.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) |
(+.f32 x (sqrt.f32 (fma.f32 x x -1))) |
(log1p.f32 (expm1.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) |
(+.f32 x (sqrt.f32 (fma.f32 x x -1))) |
(fma.f32 1 x (sqrt.f32 (fma.f32 x x -1))) |
(+.f32 x (sqrt.f32 (fma.f32 x x -1))) |
(fma.f32 1 (sqrt.f32 (fma.f32 x x -1)) x) |
(+.f32 x (sqrt.f32 (fma.f32 x x -1))) |
(fma.f32 (pow.f32 (fma.f32 x x -1) 1/4) (pow.f32 (fma.f32 x x -1) 1/4) x) |
(+.f32 x (sqrt.f32 (fma.f32 x x -1))) |
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) (sqrt.f32 (fma.f32 x x -1))) |
(+.f32 x (sqrt.f32 (fma.f32 x x -1))) |
(fma.f32 (cbrt.f32 (fma.f32 x x -1)) (cbrt.f32 (sqrt.f32 (fma.f32 x x -1))) x) |
(fma.f32 (cbrt.f32 (sqrt.f32 (fma.f32 x x -1))) (cbrt.f32 (fma.f32 x x -1)) x) |
(fma.f32 (pow.f32 (cbrt.f32 x) 2) (cbrt.f32 x) (sqrt.f32 (fma.f32 x x -1))) |
(+.f32 x (sqrt.f32 (fma.f32 x x -1))) |
Compiled 12087 to 8711 computations (27.9% saved)
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 627 | 8 | 635 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 628 | 9 | 637 |
| Status | Error | Program |
|---|---|---|
| 2.23% | (+.f32 (+.f32 (log.f32 2) (log.f32 x)) (/.f32 -1/4 (*.f32 x x))) | |
| 3.03% | (+.f32 (log.f32 2) (log.f32 x)) | |
| 97.02% | (log.f32 (/.f32 1/2 x)) | |
| ▶ | 1.77% | (log.f32 (-.f32 (*.f32 x 2) (/.f32 1/2 x))) |
| ▶ | 1.76% | (log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x)))) |
| ✓ | 52.03% | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1)))) |
| ▶ | 51.99% | (log.f32 (+.f32 x (sqrt.f32 (*.f32 (+.f32 x 1) (+.f32 x -1))))) |
| ▶ | 52.14% | (log.f32 (+.f32 x (sqrt.f32 (expm1.f32 (*.f32 (log.f32 x) 2))))) |
| ▶ | 2.65% | (log.f32 (+.f32 x x)) |
Compiled 146 to 109 computations (25.3% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.01% | (/.f32 1/2 x) |
| ✓ | 0.15% | (+.f32 x (-.f32 x (/.f32 1/2 x))) |
| ✓ | 0.41% | (log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x)))) |
Compiled 26 to 16 computations (38.5% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (+.f32 x (-.f32 x (/.f32 1/2 x))) |
| 1.0ms | x | @ | 0 | (log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x)))) |
| 0.0ms | x | @ | -inf | (log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x)))) |
| 0.0ms | x | @ | inf | (log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x)))) |
| 0.0ms | x | @ | 0 | (+.f32 x (-.f32 x (/.f32 1/2 x))) |
| 1× | batch-egg-rewrite |
| 1594× | associate-*r/ |
| 956× | *-commutative |
| 956× | associate-*l/ |
| 762× | distribute-lft-in |
| 582× | associate-/r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 49 |
| 1 | 204 | 49 |
| 2 | 2870 | 49 |
| 1× | node limit |
| Inputs |
|---|
(log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x)))) |
(+.f32 x (-.f32 x (/.f32 1/2 x))) |
(/.f32 1/2 x) |
| Outputs |
|---|
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((x fma.f32 (pow.f32 (cbrt.f32 x) 2) (cbrt.f32 x) (+.f32 x (/.f32 -1/2 x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (/.f32 1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (/.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1/2 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (/.f32 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (/.f32 1/2 x)) (sqrt.f32 (/.f32 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (/.f32 1/2 x)) (pow.f32 (cbrt.f32 (/.f32 1/2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (/.f32 1/2 x)) 2) (cbrt.f32 (/.f32 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1/2 (/.f32 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (sqrt.f32 x)) (/.f32 1/2 (sqrt.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (pow.f32 (cbrt.f32 x) 2)) (/.f32 1/2 (cbrt.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -1 x) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (-.f32 (*.f32 x x) (*.f32 x x))) (-.f32 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (*.f32 2 (pow.f32 x 3))) (-.f32 (*.f32 x (+.f32 x x)) (*.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 1/2 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (/.f32 1/2 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (/.f32 1/2 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 x x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 1/8 (pow.f32 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (/.f32 1/4 (*.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (/.f32 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (/.f32 1/8 (pow.f32 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (/.f32 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (/.f32 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (/.f32 1/2 x))))))) |
| 1× | egg-herbie |
| 508× | associate-*r* |
| 462× | fma-def |
| 450× | associate-*l* |
| 368× | distribute-lft-in |
| 354× | +-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 433 | 3578 |
| 1 | 1229 | 3578 |
| 1× | node limit |
| Inputs |
|---|
(+.f32 (log.f32 -1/2) (*.f32 -1 (log.f32 x))) |
(+.f32 (log.f32 -1/2) (+.f32 (*.f32 -4 (pow.f32 x 2)) (*.f32 -1 (log.f32 x)))) |
(+.f32 (log.f32 -1/2) (+.f32 (*.f32 -4 (pow.f32 x 2)) (+.f32 (*.f32 -8 (pow.f32 x 4)) (*.f32 -1 (log.f32 x))))) |
(+.f32 (log.f32 -1/2) (+.f32 (*.f32 -4 (pow.f32 x 2)) (+.f32 (*.f32 -8 (pow.f32 x 4)) (+.f32 (*.f32 -64/3 (pow.f32 x 6)) (*.f32 -1 (log.f32 x)))))) |
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x)))) |
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))) |
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (+.f32 (*.f32 1/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))) |
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (+.f32 (*.f32 1/32 (/.f32 1 (pow.f32 x 4))) (+.f32 (*.f32 1/192 (/.f32 1 (pow.f32 x 6))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))) |
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) |
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))) |
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) (+.f32 (*.f32 1/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))) |
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) (+.f32 (*.f32 1/32 (/.f32 1 (pow.f32 x 4))) (+.f32 (*.f32 1/192 (/.f32 1 (pow.f32 x 6))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))) |
(/.f32 -1/2 x) |
(-.f32 (*.f32 2 x) (*.f32 1/2 (/.f32 1 x))) |
(-.f32 (*.f32 2 x) (*.f32 1/2 (/.f32 1 x))) |
(-.f32 (*.f32 2 x) (*.f32 1/2 (/.f32 1 x))) |
(*.f32 2 x) |
(-.f32 (*.f32 2 x) (*.f32 1/2 (/.f32 1 x))) |
(-.f32 (*.f32 2 x) (*.f32 1/2 (/.f32 1 x))) |
(-.f32 (*.f32 2 x) (*.f32 1/2 (/.f32 1 x))) |
(*.f32 2 x) |
(-.f32 (*.f32 2 x) (*.f32 1/2 (/.f32 1 x))) |
(-.f32 (*.f32 2 x) (*.f32 1/2 (/.f32 1 x))) |
(-.f32 (*.f32 2 x) (*.f32 1/2 (/.f32 1 x))) |
(+.f32 (log.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x))) 0) |
(+.f32 (log.f32 (sqrt.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x)))) (log.f32 (sqrt.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x))))) |
(+.f32 0 (log.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x)))) |
(+.f32 (log.f32 (cbrt.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x)))) (log.f32 (pow.f32 (cbrt.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x))) 2))) |
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x))) 2)) (log.f32 (cbrt.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x))))) |
(+.f32 (+.f32 0 (log.f32 (sqrt.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x))))) (log.f32 (sqrt.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x))))) |
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(/.f32 (*.f32 (-.f32 (pow.f32 (*.f32 x x) 3) (pow.f32 (pow.f32 (+.f32 x (/.f32 -1/2 x)) 2) 3)) (/.f32 1 (+.f32 (/.f32 1/2 x) (-.f32 x x)))) (+.f32 (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (*.f32 (pow.f32 (+.f32 x (/.f32 -1/2 x)) 2) (pow.f32 (+.f32 x (/.f32 -1/2 x)) 2))) (*.f32 (pow.f32 (+.f32 x (/.f32 -1/2 x)) 2) (*.f32 x x)))) |
(/.f32 (*.f32 (-.f32 (*.f32 (pow.f32 x 3) (pow.f32 x 3)) (*.f32 (pow.f32 (+.f32 x (/.f32 -1/2 x)) 3) (pow.f32 (+.f32 x (/.f32 -1/2 x)) 3))) (/.f32 1 (fma.f32 x x (*.f32 (+.f32 x (/.f32 -1/2 x)) (+.f32 x (-.f32 (/.f32 -1/2 x) x)))))) (-.f32 (pow.f32 x 3) (pow.f32 (+.f32 x (/.f32 -1/2 x)) 3))) |
(/.f32 (*.f32 (+.f32 (pow.f32 (pow.f32 x 3) 3) (pow.f32 (pow.f32 (+.f32 x (/.f32 -1/2 x)) 3) 3)) (/.f32 1 (fma.f32 x x (*.f32 (+.f32 x (/.f32 -1/2 x)) (+.f32 x (-.f32 (/.f32 -1/2 x) x)))))) (-.f32 (+.f32 (*.f32 (pow.f32 x 3) (pow.f32 x 3)) (*.f32 (pow.f32 (+.f32 x (/.f32 -1/2 x)) 3) (pow.f32 (+.f32 x (/.f32 -1/2 x)) 3))) (*.f32 (pow.f32 x 3) (pow.f32 (+.f32 x (/.f32 -1/2 x)) 3)))) |
(/.f32 (/.f32 (-.f32 (*.f32 x x) (pow.f32 (+.f32 x (/.f32 -1/2 x)) 2)) 1) (+.f32 (/.f32 1/2 x) (-.f32 x x))) |
(/.f32 (/.f32 (-.f32 (*.f32 x x) (pow.f32 (+.f32 x (/.f32 -1/2 x)) 2)) (sqrt.f32 (+.f32 (/.f32 1/2 x) (-.f32 x x)))) (sqrt.f32 (+.f32 (/.f32 1/2 x) (-.f32 x x)))) |
(/.f32 (/.f32 (-.f32 (*.f32 x x) (pow.f32 (+.f32 x (/.f32 -1/2 x)) 2)) (*.f32 (cbrt.f32 (+.f32 (/.f32 1/2 x) (-.f32 x x))) (cbrt.f32 (+.f32 (/.f32 1/2 x) (-.f32 x x))))) (cbrt.f32 (+.f32 (/.f32 1/2 x) (-.f32 x x)))) |
(/.f32 (/.f32 (-.f32 (*.f32 x x) (pow.f32 (+.f32 x (/.f32 -1/2 x)) 2)) (+.f32 (sqrt.f32 (+.f32 x (/.f32 -1/2 x))) (sqrt.f32 x))) (-.f32 (sqrt.f32 x) (sqrt.f32 (+.f32 x (/.f32 -1/2 x))))) |
(/.f32 (/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 x (/.f32 -1/2 x)) 3)) 1) (fma.f32 x x (*.f32 (+.f32 x (/.f32 -1/2 x)) (+.f32 x (-.f32 (/.f32 -1/2 x) x))))) |
(/.f32 (/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 x (/.f32 -1/2 x)) 3)) (sqrt.f32 (fma.f32 x x (*.f32 (+.f32 x (/.f32 -1/2 x)) (+.f32 x (-.f32 (/.f32 -1/2 x) x)))))) (sqrt.f32 (fma.f32 x x (*.f32 (+.f32 x (/.f32 -1/2 x)) (+.f32 x (-.f32 (/.f32 -1/2 x) x)))))) |
(/.f32 (/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 x (/.f32 -1/2 x)) 3)) (*.f32 (cbrt.f32 (fma.f32 x x (*.f32 (+.f32 x (/.f32 -1/2 x)) (+.f32 x (-.f32 (/.f32 -1/2 x) x))))) (cbrt.f32 (fma.f32 x x (*.f32 (+.f32 x (/.f32 -1/2 x)) (+.f32 x (-.f32 (/.f32 -1/2 x) x))))))) (cbrt.f32 (fma.f32 x x (*.f32 (+.f32 x (/.f32 -1/2 x)) (+.f32 x (-.f32 (/.f32 -1/2 x) x)))))) |
(pow.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x)) 1) |
(pow.f32 (sqrt.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x))) 2) |
(pow.f32 (cbrt.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x))) 3) |
(pow.f32 (pow.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x)) 3) 1/3) |
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x)))) 2)) (cbrt.f32 (log.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x))))) |
(pow.f32 (exp.f32 1) (log.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x)))) |
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x))))) (sqrt.f32 (log.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x))))) |
(sqrt.f32 (pow.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x)) 2)) |
(log.f32 (exp.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x)))) |
(log.f32 (+.f32 1 (expm1.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x))))) |
(cbrt.f32 (pow.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x)) 3)) |
(expm1.f32 (log1p.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x)))) |
(exp.f32 (log.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x)))) |
(log1p.f32 (expm1.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x)))) |
(fma.f32 1 x (+.f32 x (/.f32 -1/2 x))) |
(fma.f32 1 (+.f32 x (/.f32 -1/2 x)) x) |
(fma.f32 (sqrt.f32 (+.f32 x (/.f32 -1/2 x))) (sqrt.f32 (+.f32 x (/.f32 -1/2 x))) x) |
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) (+.f32 x (/.f32 -1/2 x))) |
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 x (/.f32 -1/2 x))) 2) (cbrt.f32 (+.f32 x (/.f32 -1/2 x))) x) |
(fma.f32 (pow.f32 (cbrt.f32 x) 2) (cbrt.f32 x) (+.f32 x (/.f32 -1/2 x))) |
(-.f32 (exp.f32 (log1p.f32 (/.f32 1/2 x))) 1) |
(*.f32 1/2 (/.f32 1 x)) |
(*.f32 (/.f32 1/2 x) 1) |
(*.f32 1 (/.f32 1/2 x)) |
(*.f32 (sqrt.f32 (/.f32 1/2 x)) (sqrt.f32 (/.f32 1/2 x))) |
(*.f32 (cbrt.f32 (/.f32 1/2 x)) (pow.f32 (cbrt.f32 (/.f32 1/2 x)) 2)) |
(*.f32 (pow.f32 (cbrt.f32 (/.f32 1/2 x)) 2) (cbrt.f32 (/.f32 1/2 x))) |
(*.f32 (/.f32 1 x) 1/2) |
(*.f32 -1/2 (/.f32 -1 x)) |
(*.f32 (/.f32 1 (sqrt.f32 x)) (/.f32 1/2 (sqrt.f32 x))) |
(*.f32 (/.f32 1 (pow.f32 (cbrt.f32 x) 2)) (/.f32 1/2 (cbrt.f32 x))) |
(*.f32 (/.f32 -1 x) -1/2) |
(*.f32 (/.f32 1 (-.f32 (*.f32 x x) (*.f32 x x))) (-.f32 x x)) |
(*.f32 (/.f32 1 (*.f32 2 (pow.f32 x 3))) (-.f32 (*.f32 x (+.f32 x x)) (*.f32 x x))) |
(pow.f32 (/.f32 1/2 x) 1) |
(pow.f32 (sqrt.f32 (/.f32 1/2 x)) 2) |
(pow.f32 (cbrt.f32 (/.f32 1/2 x)) 3) |
(pow.f32 (+.f32 x x) -1) |
(pow.f32 (/.f32 1/8 (pow.f32 x 3)) 1/3) |
(sqrt.f32 (/.f32 1/4 (*.f32 x x))) |
(log.f32 (exp.f32 (/.f32 1/2 x))) |
(log.f32 (+.f32 1 (expm1.f32 (/.f32 1/2 x)))) |
(cbrt.f32 (/.f32 1/8 (pow.f32 x 3))) |
(expm1.f32 (log1p.f32 (/.f32 1/2 x))) |
(exp.f32 (log.f32 (/.f32 1/2 x))) |
(log1p.f32 (expm1.f32 (/.f32 1/2 x))) |
| Outputs |
|---|
(+.f32 (log.f32 -1/2) (*.f32 -1 (log.f32 x))) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(+.f32 (log.f32 -1/2) (+.f32 (*.f32 -4 (pow.f32 x 2)) (*.f32 -1 (log.f32 x)))) |
(+.f32 (log.f32 -1/2) (fma.f32 -4 (*.f32 x x) (neg.f32 (log.f32 x)))) |
(+.f32 (log.f32 -1/2) (+.f32 (*.f32 -4 (pow.f32 x 2)) (+.f32 (*.f32 -8 (pow.f32 x 4)) (*.f32 -1 (log.f32 x))))) |
(+.f32 (log.f32 -1/2) (fma.f32 -4 (*.f32 x x) (fma.f32 -8 (pow.f32 x 4) (neg.f32 (log.f32 x))))) |
(+.f32 (log.f32 -1/2) (+.f32 (*.f32 -4 (pow.f32 x 2)) (+.f32 (*.f32 -8 (pow.f32 x 4)) (+.f32 (*.f32 -64/3 (pow.f32 x 6)) (*.f32 -1 (log.f32 x)))))) |
(+.f32 (log.f32 -1/2) (fma.f32 -4 (*.f32 x x) (fma.f32 -8 (pow.f32 x 4) (fma.f32 -64/3 (pow.f32 x 6) (neg.f32 (log.f32 x)))))) |
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x)))) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (+.f32 (*.f32 1/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))) |
(-.f32 (fma.f32 -1 (neg.f32 (log.f32 x)) (log.f32 2)) (+.f32 (/.f32 1/4 (*.f32 x x)) (/.f32 1/32 (pow.f32 x 4)))) |
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (+.f32 (*.f32 1/32 (/.f32 1 (pow.f32 x 4))) (+.f32 (*.f32 1/192 (/.f32 1 (pow.f32 x 6))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))) |
(-.f32 (fma.f32 -1 (neg.f32 (log.f32 x)) (log.f32 2)) (+.f32 (/.f32 1/32 (pow.f32 x 4)) (+.f32 (/.f32 1/4 (*.f32 x x)) (/.f32 1/192 (pow.f32 x 6))))) |
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) (+.f32 (*.f32 1/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))) |
(-.f32 (fma.f32 -1 (neg.f32 (log.f32 x)) (log.f32 2)) (+.f32 (/.f32 1/4 (*.f32 x x)) (/.f32 1/32 (pow.f32 x 4)))) |
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) (+.f32 (*.f32 1/32 (/.f32 1 (pow.f32 x 4))) (+.f32 (*.f32 1/192 (/.f32 1 (pow.f32 x 6))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))) |
(-.f32 (fma.f32 -1 (neg.f32 (log.f32 x)) (log.f32 2)) (+.f32 (/.f32 1/32 (pow.f32 x 4)) (+.f32 (/.f32 1/4 (*.f32 x x)) (/.f32 1/192 (pow.f32 x 6))))) |
(/.f32 -1/2 x) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(-.f32 (*.f32 2 x) (*.f32 1/2 (/.f32 1 x))) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(-.f32 (*.f32 2 x) (*.f32 1/2 (/.f32 1 x))) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(-.f32 (*.f32 2 x) (*.f32 1/2 (/.f32 1 x))) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(*.f32 2 x) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(-.f32 (*.f32 2 x) (*.f32 1/2 (/.f32 1 x))) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(-.f32 (*.f32 2 x) (*.f32 1/2 (/.f32 1 x))) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(-.f32 (*.f32 2 x) (*.f32 1/2 (/.f32 1 x))) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(*.f32 2 x) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(-.f32 (*.f32 2 x) (*.f32 1/2 (/.f32 1 x))) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(-.f32 (*.f32 2 x) (*.f32 1/2 (/.f32 1 x))) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(-.f32 (*.f32 2 x) (*.f32 1/2 (/.f32 1 x))) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(+.f32 (log.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x))) 0) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(+.f32 (log.f32 (sqrt.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x)))) (log.f32 (sqrt.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x))))) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(+.f32 0 (log.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x)))) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(+.f32 (log.f32 (cbrt.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x)))) (log.f32 (pow.f32 (cbrt.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x))) 2))) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x))) 2)) (log.f32 (cbrt.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x))))) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(+.f32 (+.f32 0 (log.f32 (sqrt.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x))))) (log.f32 (sqrt.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x))))) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(+.f32 (+.f32 0 (log.f32 (pow.f32 (cbrt.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x))) 2))) (log.f32 (cbrt.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x))))) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(+.f32 (*.f32 1 (log.f32 (sqrt.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x))))) (*.f32 1 (log.f32 (sqrt.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x)))))) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(+.f32 (*.f32 1 (log.f32 (pow.f32 (cbrt.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x))) 2))) (*.f32 1 (log.f32 (cbrt.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x)))))) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(-.f32 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 x (/.f32 -1/2 x)) 3))) (log.f32 (fma.f32 x x (*.f32 (+.f32 x (/.f32 -1/2 x)) (+.f32 x (-.f32 (/.f32 -1/2 x) x)))))) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(-.f32 (log.f32 (-.f32 (*.f32 x x) (pow.f32 (+.f32 x (/.f32 -1/2 x)) 2))) (log.f32 (+.f32 (/.f32 1/2 x) (-.f32 x x)))) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(-.f32 (exp.f32 (log1p.f32 (log.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x))))) 1) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(-.f32 (+.f32 0 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 x (/.f32 -1/2 x)) 3)))) (log.f32 (fma.f32 x x (*.f32 (+.f32 x (/.f32 -1/2 x)) (+.f32 x (-.f32 (/.f32 -1/2 x) x)))))) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(-.f32 (+.f32 0 (log.f32 (-.f32 (*.f32 x x) (pow.f32 (+.f32 x (/.f32 -1/2 x)) 2)))) (log.f32 (+.f32 (/.f32 1/2 x) (-.f32 x x)))) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(-.f32 (+.f32 0 (exp.f32 (log1p.f32 (log.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x)))))) 1) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(*.f32 (log.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x))) 1) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(*.f32 1 (log.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x)))) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(*.f32 (sqrt.f32 (log.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x)))) (sqrt.f32 (log.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x))))) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(*.f32 (cbrt.f32 (log.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x)))) (pow.f32 (cbrt.f32 (log.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x)))) 2)) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x)))) 2) (cbrt.f32 (log.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x))))) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(*.f32 2 (log.f32 (sqrt.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x))))) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(pow.f32 (log.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x))) 1) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(pow.f32 (sqrt.f32 (log.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x)))) 2) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(pow.f32 (cbrt.f32 (log.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x)))) 3) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(pow.f32 (pow.f32 (log.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x))) 3) 1/3) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(sqrt.f32 (pow.f32 (log.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x))) 2)) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(cbrt.f32 (pow.f32 (log.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x))) 3)) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(expm1.f32 (log1p.f32 (log.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x))))) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(exp.f32 (log.f32 (log.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x))))) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(log1p.f32 (+.f32 (+.f32 x x) (-.f32 (/.f32 -1/2 x) 1))) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(-.f32 x (-.f32 (/.f32 1/2 x) x)) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(-.f32 (+.f32 x x) (/.f32 1/2 x)) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(-.f32 (exp.f32 (log1p.f32 (+.f32 x (/.f32 -1/2 x)))) (-.f32 1 x)) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(-.f32 (exp.f32 (log1p.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x)))) 1) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(-.f32 (exp.f32 (log1p.f32 x)) (-.f32 1 (+.f32 x (/.f32 -1/2 x)))) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(-.f32 (exp.f32 (log1p.f32 x)) (+.f32 1 (-.f32 (/.f32 1/2 x) x))) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
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(/.f32 (*.f32 (-.f32 (*.f32 (pow.f32 x 3) (pow.f32 x 3)) (*.f32 (pow.f32 (+.f32 x (/.f32 -1/2 x)) 3) (pow.f32 (+.f32 x (/.f32 -1/2 x)) 3))) (/.f32 1 (fma.f32 x x (*.f32 (+.f32 x (/.f32 -1/2 x)) (+.f32 x (-.f32 (/.f32 -1/2 x) x)))))) (-.f32 (pow.f32 x 3) (pow.f32 (+.f32 x (/.f32 -1/2 x)) 3))) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(/.f32 (*.f32 (+.f32 (pow.f32 (pow.f32 x 3) 3) (pow.f32 (pow.f32 (+.f32 x (/.f32 -1/2 x)) 3) 3)) (/.f32 1 (fma.f32 x x (*.f32 (+.f32 x (/.f32 -1/2 x)) (+.f32 x (-.f32 (/.f32 -1/2 x) x)))))) (-.f32 (+.f32 (*.f32 (pow.f32 x 3) (pow.f32 x 3)) (*.f32 (pow.f32 (+.f32 x (/.f32 -1/2 x)) 3) (pow.f32 (+.f32 x (/.f32 -1/2 x)) 3))) (*.f32 (pow.f32 x 3) (pow.f32 (+.f32 x (/.f32 -1/2 x)) 3)))) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(/.f32 (/.f32 (-.f32 (*.f32 x x) (pow.f32 (+.f32 x (/.f32 -1/2 x)) 2)) 1) (+.f32 (/.f32 1/2 x) (-.f32 x x))) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(/.f32 (/.f32 (-.f32 (*.f32 x x) (pow.f32 (+.f32 x (/.f32 -1/2 x)) 2)) (sqrt.f32 (+.f32 (/.f32 1/2 x) (-.f32 x x)))) (sqrt.f32 (+.f32 (/.f32 1/2 x) (-.f32 x x)))) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(/.f32 (/.f32 (-.f32 (*.f32 x x) (pow.f32 (+.f32 x (/.f32 -1/2 x)) 2)) (*.f32 (cbrt.f32 (+.f32 (/.f32 1/2 x) (-.f32 x x))) (cbrt.f32 (+.f32 (/.f32 1/2 x) (-.f32 x x))))) (cbrt.f32 (+.f32 (/.f32 1/2 x) (-.f32 x x)))) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(/.f32 (/.f32 (-.f32 (*.f32 x x) (pow.f32 (+.f32 x (/.f32 -1/2 x)) 2)) (+.f32 (sqrt.f32 (+.f32 x (/.f32 -1/2 x))) (sqrt.f32 x))) (-.f32 (sqrt.f32 x) (sqrt.f32 (+.f32 x (/.f32 -1/2 x))))) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(/.f32 (/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 x (/.f32 -1/2 x)) 3)) 1) (fma.f32 x x (*.f32 (+.f32 x (/.f32 -1/2 x)) (+.f32 x (-.f32 (/.f32 -1/2 x) x))))) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(/.f32 (/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 x (/.f32 -1/2 x)) 3)) (sqrt.f32 (fma.f32 x x (*.f32 (+.f32 x (/.f32 -1/2 x)) (+.f32 x (-.f32 (/.f32 -1/2 x) x)))))) (sqrt.f32 (fma.f32 x x (*.f32 (+.f32 x (/.f32 -1/2 x)) (+.f32 x (-.f32 (/.f32 -1/2 x) x)))))) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(/.f32 (/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 x (/.f32 -1/2 x)) 3)) (*.f32 (cbrt.f32 (fma.f32 x x (*.f32 (+.f32 x (/.f32 -1/2 x)) (+.f32 x (-.f32 (/.f32 -1/2 x) x))))) (cbrt.f32 (fma.f32 x x (*.f32 (+.f32 x (/.f32 -1/2 x)) (+.f32 x (-.f32 (/.f32 -1/2 x) x))))))) (cbrt.f32 (fma.f32 x x (*.f32 (+.f32 x (/.f32 -1/2 x)) (+.f32 x (-.f32 (/.f32 -1/2 x) x)))))) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(pow.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x)) 1) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(pow.f32 (sqrt.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x))) 2) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(pow.f32 (cbrt.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x))) 3) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(pow.f32 (pow.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x)) 3) 1/3) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x)))) 2)) (cbrt.f32 (log.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x))))) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(pow.f32 (exp.f32 1) (log.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x)))) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x))))) (sqrt.f32 (log.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x))))) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(sqrt.f32 (pow.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x)) 2)) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(log.f32 (exp.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x)))) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(log.f32 (+.f32 1 (expm1.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x))))) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(cbrt.f32 (pow.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x)) 3)) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(expm1.f32 (log1p.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x)))) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(exp.f32 (log.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x)))) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(log1p.f32 (expm1.f32 (+.f32 (/.f32 -1/2 x) (+.f32 x x)))) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(fma.f32 1 x (+.f32 x (/.f32 -1/2 x))) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(fma.f32 1 (+.f32 x (/.f32 -1/2 x)) x) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(fma.f32 (sqrt.f32 (+.f32 x (/.f32 -1/2 x))) (sqrt.f32 (+.f32 x (/.f32 -1/2 x))) x) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) (+.f32 x (/.f32 -1/2 x))) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 x (/.f32 -1/2 x))) 2) (cbrt.f32 (+.f32 x (/.f32 -1/2 x))) x) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(fma.f32 (pow.f32 (cbrt.f32 x) 2) (cbrt.f32 x) (+.f32 x (/.f32 -1/2 x))) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(-.f32 (exp.f32 (log1p.f32 (/.f32 1/2 x))) 1) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(*.f32 1/2 (/.f32 1 x)) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(*.f32 (/.f32 1/2 x) 1) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(*.f32 1 (/.f32 1/2 x)) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(*.f32 (sqrt.f32 (/.f32 1/2 x)) (sqrt.f32 (/.f32 1/2 x))) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(*.f32 (cbrt.f32 (/.f32 1/2 x)) (pow.f32 (cbrt.f32 (/.f32 1/2 x)) 2)) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(*.f32 (pow.f32 (cbrt.f32 (/.f32 1/2 x)) 2) (cbrt.f32 (/.f32 1/2 x))) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(*.f32 (/.f32 1 x) 1/2) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(*.f32 -1/2 (/.f32 -1 x)) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(*.f32 (/.f32 1 (sqrt.f32 x)) (/.f32 1/2 (sqrt.f32 x))) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(*.f32 (/.f32 1 (pow.f32 (cbrt.f32 x) 2)) (/.f32 1/2 (cbrt.f32 x))) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(*.f32 (/.f32 -1 x) -1/2) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(*.f32 (/.f32 1 (-.f32 (*.f32 x x) (*.f32 x x))) (-.f32 x x)) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(*.f32 (/.f32 1 (*.f32 2 (pow.f32 x 3))) (-.f32 (*.f32 x (+.f32 x x)) (*.f32 x x))) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(pow.f32 (/.f32 1/2 x) 1) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(pow.f32 (sqrt.f32 (/.f32 1/2 x)) 2) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(pow.f32 (cbrt.f32 (/.f32 1/2 x)) 3) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(pow.f32 (+.f32 x x) -1) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(pow.f32 (/.f32 1/8 (pow.f32 x 3)) 1/3) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(sqrt.f32 (/.f32 1/4 (*.f32 x x))) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(log.f32 (exp.f32 (/.f32 1/2 x))) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(log.f32 (+.f32 1 (expm1.f32 (/.f32 1/2 x)))) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(cbrt.f32 (/.f32 1/8 (pow.f32 x 3))) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(expm1.f32 (log1p.f32 (/.f32 1/2 x))) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(exp.f32 (log.f32 (/.f32 1/2 x))) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(log1p.f32 (expm1.f32 (/.f32 1/2 x))) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.37% | (log.f32 (+.f32 x x)) |
Compiled 9 to 3 computations (66.7% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 22.0ms | x | @ | -inf | (log.f32 (+.f32 x x)) |
| 19.0ms | x | @ | 0 | (log.f32 (+.f32 x x)) |
| 5.0ms | x | @ | inf | (log.f32 (+.f32 x x)) |
| 1× | batch-egg-rewrite |
| 1146× | add-sqr-sqrt |
| 1130× | *-un-lft-identity |
| 1072× | pow1 |
| 1056× | add-cube-cbrt |
| 1046× | add-cbrt-cube |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 11 |
| 1 | 122 | 11 |
| 2 | 1605 | 11 |
| 1× | node limit |
| Inputs |
|---|
(log.f32 (+.f32 x x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (+.f32 x x)) (log.f32 (+.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log.f32 (+.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 2) (log.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (*.f32 2 (pow.f32 x 3))) (log.f32 (fma.f32 x x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 0) (log.f32 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (log.f32 (+.f32 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log.f32 (+.f32 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log.f32 (+.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log.f32 (+.f32 x x))) (sqrt.f32 (log.f32 (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log.f32 (+.f32 x x))) (pow.f32 (cbrt.f32 (log.f32 (+.f32 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x x))) 2) (cbrt.f32 (log.f32 (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log.f32 (+.f32 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log.f32 (+.f32 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log.f32 (+.f32 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log.f32 (+.f32 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log.f32 (+.f32 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log.f32 (+.f32 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log.f32 (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log.f32 (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (-.f32 (+.f32 x x) 1)))))) |
| 1× | egg-herbie |
| 864× | associate-+r+ |
| 790× | distribute-lft-out |
| 782× | associate-+l+ |
| 776× | associate-*r* |
| 756× | *-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 502 |
| 1 | 125 | 390 |
| 2 | 521 | 390 |
| 3 | 2745 | 390 |
| 4 | 5929 | 390 |
| 1× | node limit |
| Inputs |
|---|
(+.f32 (log.f32 2) (log.f32 x)) |
(+.f32 (log.f32 2) (log.f32 x)) |
(+.f32 (log.f32 2) (log.f32 x)) |
(+.f32 (log.f32 2) (log.f32 x)) |
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x)))) |
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x)))) |
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x)))) |
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x)))) |
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) |
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) |
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) |
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) |
(+.f32 (log.f32 (+.f32 x x)) (log.f32 (+.f32 x x))) |
(+.f32 0 (log.f32 (+.f32 x x))) |
(+.f32 (log.f32 2) (log.f32 x)) |
(-.f32 (log.f32 (*.f32 2 (pow.f32 x 3))) (log.f32 (fma.f32 x x 0))) |
(-.f32 (log.f32 0) (log.f32 0)) |
(-.f32 (+.f32 1 (log.f32 (+.f32 x x))) 1) |
(*.f32 (log.f32 (+.f32 x x)) 1) |
(*.f32 1 (log.f32 (+.f32 x x))) |
(*.f32 (sqrt.f32 (log.f32 (+.f32 x x))) (sqrt.f32 (log.f32 (+.f32 x x)))) |
(*.f32 (cbrt.f32 (log.f32 (+.f32 x x))) (pow.f32 (cbrt.f32 (log.f32 (+.f32 x x))) 2)) |
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x x))) 2) (cbrt.f32 (log.f32 (+.f32 x x)))) |
(pow.f32 (log.f32 (+.f32 x x)) 1) |
(pow.f32 (sqrt.f32 (log.f32 (+.f32 x x))) 2) |
(pow.f32 (cbrt.f32 (log.f32 (+.f32 x x))) 3) |
(pow.f32 (pow.f32 (log.f32 (+.f32 x x)) 3) 1/3) |
(sqrt.f32 (pow.f32 (log.f32 (+.f32 x x)) 2)) |
(cbrt.f32 (pow.f32 (log.f32 (+.f32 x x)) 3)) |
(expm1.f32 (log1p.f32 (log.f32 (+.f32 x x)))) |
(exp.f32 (log.f32 (log.f32 (+.f32 x x)))) |
(log1p.f32 (-.f32 (+.f32 x x) 1)) |
| Outputs |
|---|
(+.f32 (log.f32 2) (log.f32 x)) |
(log.f32 (+.f32 x x)) |
(+.f32 (log.f32 2) (log.f32 x)) |
(log.f32 (+.f32 x x)) |
(+.f32 (log.f32 2) (log.f32 x)) |
(log.f32 (+.f32 x x)) |
(+.f32 (log.f32 2) (log.f32 x)) |
(log.f32 (+.f32 x x)) |
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x)))) |
(+.f32 (log.f32 2) (log.f32 x)) |
(log.f32 (+.f32 x x)) |
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x)))) |
(+.f32 (log.f32 2) (log.f32 x)) |
(log.f32 (+.f32 x x)) |
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x)))) |
(+.f32 (log.f32 2) (log.f32 x)) |
(log.f32 (+.f32 x x)) |
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x)))) |
(+.f32 (log.f32 2) (log.f32 x)) |
(log.f32 (+.f32 x x)) |
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) |
(fma.f32 -1 (log.f32 (/.f32 -1 x)) (log.f32 -2)) |
(-.f32 (log.f32 -2) (log.f32 (/.f32 -1 x))) |
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) |
(fma.f32 -1 (log.f32 (/.f32 -1 x)) (log.f32 -2)) |
(-.f32 (log.f32 -2) (log.f32 (/.f32 -1 x))) |
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) |
(fma.f32 -1 (log.f32 (/.f32 -1 x)) (log.f32 -2)) |
(-.f32 (log.f32 -2) (log.f32 (/.f32 -1 x))) |
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) |
(fma.f32 -1 (log.f32 (/.f32 -1 x)) (log.f32 -2)) |
(-.f32 (log.f32 -2) (log.f32 (/.f32 -1 x))) |
(+.f32 (log.f32 (+.f32 x x)) (log.f32 (+.f32 x x))) |
(*.f32 2 (log.f32 (+.f32 x x))) |
(+.f32 0 (log.f32 (+.f32 x x))) |
(+.f32 (log.f32 2) (log.f32 x)) |
(log.f32 (+.f32 x x)) |
(+.f32 (log.f32 2) (log.f32 x)) |
(log.f32 (+.f32 x x)) |
(-.f32 (log.f32 (*.f32 2 (pow.f32 x 3))) (log.f32 (fma.f32 x x 0))) |
(+.f32 (log.f32 2) (log.f32 x)) |
(log.f32 (+.f32 x x)) |
(-.f32 (log.f32 0) (log.f32 0)) |
0 |
(-.f32 (+.f32 1 (log.f32 (+.f32 x x))) 1) |
(+.f32 (log.f32 2) (log.f32 x)) |
(log.f32 (+.f32 x x)) |
(*.f32 (log.f32 (+.f32 x x)) 1) |
(+.f32 (log.f32 2) (log.f32 x)) |
(log.f32 (+.f32 x x)) |
(*.f32 1 (log.f32 (+.f32 x x))) |
(+.f32 (log.f32 2) (log.f32 x)) |
(log.f32 (+.f32 x x)) |
(*.f32 (sqrt.f32 (log.f32 (+.f32 x x))) (sqrt.f32 (log.f32 (+.f32 x x)))) |
(+.f32 (log.f32 2) (log.f32 x)) |
(log.f32 (+.f32 x x)) |
(*.f32 (cbrt.f32 (log.f32 (+.f32 x x))) (pow.f32 (cbrt.f32 (log.f32 (+.f32 x x))) 2)) |
(+.f32 (log.f32 2) (log.f32 x)) |
(log.f32 (+.f32 x x)) |
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x x))) 2) (cbrt.f32 (log.f32 (+.f32 x x)))) |
(+.f32 (log.f32 2) (log.f32 x)) |
(log.f32 (+.f32 x x)) |
(pow.f32 (log.f32 (+.f32 x x)) 1) |
(+.f32 (log.f32 2) (log.f32 x)) |
(log.f32 (+.f32 x x)) |
(pow.f32 (sqrt.f32 (log.f32 (+.f32 x x))) 2) |
(+.f32 (log.f32 2) (log.f32 x)) |
(log.f32 (+.f32 x x)) |
(pow.f32 (cbrt.f32 (log.f32 (+.f32 x x))) 3) |
(+.f32 (log.f32 2) (log.f32 x)) |
(log.f32 (+.f32 x x)) |
(pow.f32 (pow.f32 (log.f32 (+.f32 x x)) 3) 1/3) |
(+.f32 (log.f32 2) (log.f32 x)) |
(log.f32 (+.f32 x x)) |
(sqrt.f32 (pow.f32 (log.f32 (+.f32 x x)) 2)) |
(+.f32 (log.f32 2) (log.f32 x)) |
(log.f32 (+.f32 x x)) |
(cbrt.f32 (pow.f32 (log.f32 (+.f32 x x)) 3)) |
(+.f32 (log.f32 2) (log.f32 x)) |
(log.f32 (+.f32 x x)) |
(expm1.f32 (log1p.f32 (log.f32 (+.f32 x x)))) |
(+.f32 (log.f32 2) (log.f32 x)) |
(log.f32 (+.f32 x x)) |
(exp.f32 (log.f32 (log.f32 (+.f32 x x)))) |
(+.f32 (log.f32 2) (log.f32 x)) |
(log.f32 (+.f32 x x)) |
(log1p.f32 (-.f32 (+.f32 x x) 1)) |
(log1p.f32 (+.f32 x (-.f32 x 1))) |
(log1p.f32 (fma.f32 2 x -1)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.01% | (/.f32 1/2 x) | |
| ✓ | 0.41% | (log.f32 (-.f32 (*.f32 x 2) (/.f32 1/2 x))) |
Compiled 25 to 18 computations (28% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (log.f32 (-.f32 (*.f32 x 2) (/.f32 1/2 x))) |
| 0.0ms | x | @ | -inf | (log.f32 (-.f32 (*.f32 x 2) (/.f32 1/2 x))) |
| 0.0ms | x | @ | inf | (log.f32 (-.f32 (*.f32 x 2) (/.f32 1/2 x))) |
| 1× | batch-egg-rewrite |
| 1058× | associate-*r/ |
| 908× | *-commutative |
| 668× | unswap-sqr |
| 668× | associate-*l/ |
| 542× | swap-sqr |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 23 |
| 1 | 216 | 19 |
| 2 | 2731 | 19 |
| 1× | node limit |
| Inputs |
|---|
(log.f32 (-.f32 (*.f32 x 2) (/.f32 1/2 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 -1/2 x))) 2)) (log.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) (log.f32 (pow.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 -1/2 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) (log.f32 (sqrt.f32 (fma.f32 x 2 (/.f32 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 0 (log.f32 (pow.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 -1/2 x))) 2))) (log.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 0 (log.f32 (sqrt.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) (log.f32 (sqrt.f32 (fma.f32 x 2 (/.f32 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 1 (log.f32 (pow.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 -1/2 x))) 2))) (*.f32 1 (log.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 -1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 1 (log.f32 (sqrt.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) (*.f32 1 (log.f32 (sqrt.f32 (fma.f32 x 2 (/.f32 -1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (log.f32 (pow.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 -1/2 x))) 2)) 1) (*.f32 (log.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (log.f32 (sqrt.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) 1) (*.f32 (log.f32 (sqrt.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (+.f32 (*.f32 8 (pow.f32 x 3)) (/.f32 -1/8 (pow.f32 x 3)))) (log.f32 (+.f32 (*.f32 4 (*.f32 x x)) (*.f32 (/.f32 1/2 x) (fma.f32 x 2 (/.f32 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (+.f32 (*.f32 4 (*.f32 x x)) (/.f32 (/.f32 -1/4 x) x))) (log.f32 (fma.f32 x 2 (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 0 (log.f32 (+.f32 (*.f32 8 (pow.f32 x 3)) (/.f32 -1/8 (pow.f32 x 3))))) (log.f32 (+.f32 (*.f32 4 (*.f32 x x)) (*.f32 (/.f32 1/2 x) (fma.f32 x 2 (/.f32 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 0 (log.f32 (+.f32 (*.f32 4 (*.f32 x x)) (/.f32 (/.f32 -1/4 x) x)))) (log.f32 (fma.f32 x 2 (/.f32 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 0 (exp.f32 (log1p.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (log.f32 (sqrt.f32 (fma.f32 x 2 (/.f32 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) (sqrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) (pow.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) 2) (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) (*.f32 (sqrt.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (sqrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) (sqrt.f32 (pow.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) 2))) (*.f32 (cbrt.f32 (sqrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) (sqrt.f32 (pow.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) (sqrt.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))))) (*.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) (sqrt.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) 2)) (cbrt.f32 (sqrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))))) (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) 2)) (cbrt.f32 (sqrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (-.f32 (fma.f32 x 2 (/.f32 -1/2 x)) 1)))))) |
| 1× | egg-herbie |
| 1428× | associate-+l- |
| 1104× | associate-*r* |
| 970× | *-commutative |
| 926× | associate-*l* |
| 842× | associate--r+ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 159 | 1910 |
| 1 | 372 | 1650 |
| 2 | 1141 | 1642 |
| 3 | 4941 | 1642 |
| 1× | node limit |
| Inputs |
|---|
(+.f32 (log.f32 -1/2) (*.f32 -1 (log.f32 x))) |
(+.f32 (log.f32 -1/2) (+.f32 (*.f32 -4 (pow.f32 x 2)) (*.f32 -1 (log.f32 x)))) |
(+.f32 (log.f32 -1/2) (+.f32 (*.f32 -4 (pow.f32 x 2)) (+.f32 (*.f32 -8 (pow.f32 x 4)) (*.f32 -1 (log.f32 x))))) |
(+.f32 (log.f32 -1/2) (+.f32 (*.f32 -4 (pow.f32 x 2)) (+.f32 (*.f32 -8 (pow.f32 x 4)) (+.f32 (*.f32 -64/3 (pow.f32 x 6)) (*.f32 -1 (log.f32 x)))))) |
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x)))) |
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))) |
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (+.f32 (*.f32 1/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))) |
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (+.f32 (*.f32 1/32 (/.f32 1 (pow.f32 x 4))) (+.f32 (*.f32 1/192 (/.f32 1 (pow.f32 x 6))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))) |
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) |
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))) |
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) (+.f32 (*.f32 1/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))) |
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) (+.f32 (*.f32 1/32 (/.f32 1 (pow.f32 x 4))) (+.f32 (*.f32 1/192 (/.f32 1 (pow.f32 x 6))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))) |
(+.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))) 0) |
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 -1/2 x))) 2)) (log.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) |
(+.f32 0 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) |
(+.f32 (log.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) (log.f32 (pow.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 -1/2 x))) 2))) |
(+.f32 (log.f32 (sqrt.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) (log.f32 (sqrt.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) |
(+.f32 (+.f32 0 (log.f32 (pow.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 -1/2 x))) 2))) (log.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) |
(+.f32 (+.f32 0 (log.f32 (sqrt.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) (log.f32 (sqrt.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) |
(+.f32 (*.f32 1 (log.f32 (pow.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 -1/2 x))) 2))) (*.f32 1 (log.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 -1/2 x)))))) |
(+.f32 (*.f32 1 (log.f32 (sqrt.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) (*.f32 1 (log.f32 (sqrt.f32 (fma.f32 x 2 (/.f32 -1/2 x)))))) |
(+.f32 (*.f32 (log.f32 (pow.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 -1/2 x))) 2)) 1) (*.f32 (log.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) 1)) |
(+.f32 (*.f32 (log.f32 (sqrt.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) 1) (*.f32 (log.f32 (sqrt.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) 1)) |
(-.f32 (log.f32 (+.f32 (*.f32 8 (pow.f32 x 3)) (/.f32 -1/8 (pow.f32 x 3)))) (log.f32 (+.f32 (*.f32 4 (*.f32 x x)) (*.f32 (/.f32 1/2 x) (fma.f32 x 2 (/.f32 1/2 x)))))) |
(-.f32 (log.f32 (+.f32 (*.f32 4 (*.f32 x x)) (/.f32 (/.f32 -1/4 x) x))) (log.f32 (fma.f32 x 2 (/.f32 1/2 x)))) |
(-.f32 (exp.f32 (log1p.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) 1) |
(-.f32 (+.f32 0 (log.f32 (+.f32 (*.f32 8 (pow.f32 x 3)) (/.f32 -1/8 (pow.f32 x 3))))) (log.f32 (+.f32 (*.f32 4 (*.f32 x x)) (*.f32 (/.f32 1/2 x) (fma.f32 x 2 (/.f32 1/2 x)))))) |
(-.f32 (+.f32 0 (log.f32 (+.f32 (*.f32 4 (*.f32 x x)) (/.f32 (/.f32 -1/4 x) x)))) (log.f32 (fma.f32 x 2 (/.f32 1/2 x)))) |
(-.f32 (+.f32 0 (exp.f32 (log1p.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))))) 1) |
(*.f32 2 (log.f32 (sqrt.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) |
(*.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))) 1) |
(*.f32 1 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) |
(*.f32 (sqrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) (sqrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) |
(*.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) (pow.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) 2)) |
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) 2) (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) |
(*.f32 (*.f32 (sqrt.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) (*.f32 (sqrt.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))))) |
(*.f32 (*.f32 (cbrt.f32 (sqrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) (sqrt.f32 (pow.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) 2))) (*.f32 (cbrt.f32 (sqrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) (sqrt.f32 (pow.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) 2)))) |
(*.f32 (*.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) (sqrt.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))))) (*.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) (sqrt.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))))) |
(*.f32 (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) 2)) (cbrt.f32 (sqrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))))) (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) 2)) (cbrt.f32 (sqrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))))) |
(pow.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))) 1) |
(pow.f32 (sqrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) 2) |
(pow.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) 3) |
(pow.f32 (pow.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))) 3) 1/3) |
(sqrt.f32 (pow.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))) 2)) |
(cbrt.f32 (pow.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))) 3)) |
(expm1.f32 (log1p.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) |
(exp.f32 (log.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) |
(log1p.f32 (-.f32 (fma.f32 x 2 (/.f32 -1/2 x)) 1)) |
| Outputs |
|---|
(+.f32 (log.f32 -1/2) (*.f32 -1 (log.f32 x))) |
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x))) |
(-.f32 (log.f32 -1/2) (log.f32 x)) |
(+.f32 (log.f32 -1/2) (+.f32 (*.f32 -4 (pow.f32 x 2)) (*.f32 -1 (log.f32 x)))) |
(+.f32 (log.f32 -1/2) (fma.f32 -4 (*.f32 x x) (neg.f32 (log.f32 x)))) |
(+.f32 (log.f32 -1/2) (-.f32 (*.f32 x (*.f32 x -4)) (log.f32 x))) |
(-.f32 (fma.f32 x (*.f32 x -4) (log.f32 -1/2)) (log.f32 x)) |
(+.f32 (log.f32 -1/2) (+.f32 (*.f32 -4 (pow.f32 x 2)) (+.f32 (*.f32 -8 (pow.f32 x 4)) (*.f32 -1 (log.f32 x))))) |
(+.f32 (log.f32 -1/2) (fma.f32 -4 (*.f32 x x) (fma.f32 -8 (pow.f32 x 4) (neg.f32 (log.f32 x))))) |
(+.f32 (log.f32 -1/2) (-.f32 (fma.f32 -4 (*.f32 x x) (*.f32 -8 (pow.f32 x 4))) (log.f32 x))) |
(+.f32 (-.f32 (log.f32 -1/2) (log.f32 x)) (fma.f32 x (*.f32 x -4) (*.f32 -8 (pow.f32 x 4)))) |
(+.f32 (log.f32 -1/2) (+.f32 (*.f32 -4 (pow.f32 x 2)) (+.f32 (*.f32 -8 (pow.f32 x 4)) (+.f32 (*.f32 -64/3 (pow.f32 x 6)) (*.f32 -1 (log.f32 x)))))) |
(+.f32 (log.f32 -1/2) (fma.f32 -4 (*.f32 x x) (fma.f32 -8 (pow.f32 x 4) (fma.f32 -64/3 (pow.f32 x 6) (neg.f32 (log.f32 x)))))) |
(+.f32 (log.f32 -1/2) (fma.f32 -4 (*.f32 x x) (-.f32 (fma.f32 -8 (pow.f32 x 4) (*.f32 -64/3 (pow.f32 x 6))) (log.f32 x)))) |
(+.f32 (-.f32 (fma.f32 x (*.f32 x -4) (log.f32 -1/2)) (log.f32 x)) (fma.f32 -8 (pow.f32 x 4) (*.f32 -64/3 (pow.f32 x 6)))) |
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x)))) |
(fma.f32 -1 (neg.f32 (log.f32 x)) (log.f32 2)) |
(+.f32 (log.f32 2) (log.f32 x)) |
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))) |
(-.f32 (fma.f32 -1 (neg.f32 (log.f32 x)) (log.f32 2)) (/.f32 1/4 (*.f32 x x))) |
(+.f32 (log.f32 2) (+.f32 (log.f32 x) (/.f32 -1/4 (*.f32 x x)))) |
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (+.f32 (*.f32 1/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))) |
(-.f32 (fma.f32 -1 (neg.f32 (log.f32 x)) (log.f32 2)) (+.f32 (/.f32 1/4 (*.f32 x x)) (/.f32 1/32 (pow.f32 x 4)))) |
(+.f32 (log.f32 2) (-.f32 (log.f32 x) (+.f32 (/.f32 1/4 (*.f32 x x)) (/.f32 1/32 (pow.f32 x 4))))) |
(+.f32 (log.f32 x) (+.f32 (+.f32 (log.f32 2) (/.f32 -1/4 (*.f32 x x))) (/.f32 -1/32 (pow.f32 x 4)))) |
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (+.f32 (*.f32 1/32 (/.f32 1 (pow.f32 x 4))) (+.f32 (*.f32 1/192 (/.f32 1 (pow.f32 x 6))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))) |
(-.f32 (-.f32 (fma.f32 -1 (neg.f32 (log.f32 x)) (log.f32 2)) (/.f32 1/32 (pow.f32 x 4))) (+.f32 (/.f32 1/4 (*.f32 x x)) (/.f32 1/192 (pow.f32 x 6)))) |
(+.f32 (log.f32 x) (-.f32 (-.f32 (log.f32 2) (/.f32 1/32 (pow.f32 x 4))) (+.f32 (/.f32 1/4 (*.f32 x x)) (/.f32 1/192 (pow.f32 x 6))))) |
(+.f32 (log.f32 x) (+.f32 (-.f32 (log.f32 2) (+.f32 (/.f32 1/4 (*.f32 x x)) (/.f32 1/192 (pow.f32 x 6)))) (/.f32 -1/32 (pow.f32 x 4)))) |
(+.f32 (log.f32 x) (+.f32 (+.f32 (log.f32 2) (/.f32 -1/32 (pow.f32 x 4))) (-.f32 (/.f32 -1/4 (*.f32 x x)) (/.f32 1/192 (pow.f32 x 6))))) |
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) |
(fma.f32 -1 (log.f32 (/.f32 -1 x)) (log.f32 -2)) |
(-.f32 (log.f32 -2) (log.f32 (/.f32 -1 x))) |
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))) |
(-.f32 (fma.f32 -1 (log.f32 (/.f32 -1 x)) (log.f32 -2)) (/.f32 1/4 (*.f32 x x))) |
(+.f32 (-.f32 (log.f32 -2) (log.f32 (/.f32 -1 x))) (/.f32 -1/4 (*.f32 x x))) |
(-.f32 (-.f32 (log.f32 -2) (log.f32 (/.f32 -1 x))) (/.f32 1/4 (*.f32 x x))) |
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) (+.f32 (*.f32 1/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))) |
(-.f32 (fma.f32 -1 (log.f32 (/.f32 -1 x)) (log.f32 -2)) (+.f32 (/.f32 1/4 (*.f32 x x)) (/.f32 1/32 (pow.f32 x 4)))) |
(+.f32 (-.f32 (-.f32 (log.f32 -2) (log.f32 (/.f32 -1 x))) (/.f32 1/32 (pow.f32 x 4))) (/.f32 -1/4 (*.f32 x x))) |
(+.f32 (-.f32 (-.f32 (log.f32 -2) (log.f32 (/.f32 -1 x))) (/.f32 1/4 (*.f32 x x))) (/.f32 -1/32 (pow.f32 x 4))) |
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) (+.f32 (*.f32 1/32 (/.f32 1 (pow.f32 x 4))) (+.f32 (*.f32 1/192 (/.f32 1 (pow.f32 x 6))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))) |
(-.f32 (-.f32 (fma.f32 -1 (log.f32 (/.f32 -1 x)) (log.f32 -2)) (/.f32 1/32 (pow.f32 x 4))) (+.f32 (/.f32 1/4 (*.f32 x x)) (/.f32 1/192 (pow.f32 x 6)))) |
(-.f32 (+.f32 (-.f32 (-.f32 (log.f32 -2) (log.f32 (/.f32 -1 x))) (/.f32 1/32 (pow.f32 x 4))) (/.f32 -1/4 (*.f32 x x))) (/.f32 1/192 (pow.f32 x 6))) |
(+.f32 (-.f32 (log.f32 -2) (+.f32 (log.f32 (/.f32 -1 x)) (+.f32 (/.f32 1/4 (*.f32 x x)) (/.f32 1/192 (pow.f32 x 6))))) (/.f32 -1/32 (pow.f32 x 4))) |
(+.f32 (+.f32 (-.f32 (-.f32 (log.f32 -2) (log.f32 (/.f32 -1 x))) (/.f32 1/4 (*.f32 x x))) (/.f32 -1/32 (pow.f32 x 4))) (/.f32 -1/192 (pow.f32 x 6))) |
(+.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))) 0) |
(log.f32 (fma.f32 x 2 (/.f32 -1/2 x))) |
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 -1/2 x))) 2)) (log.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) |
(+.f32 (*.f32 2 (log.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) (log.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) |
(*.f32 (log.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) 3) |
(+.f32 0 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) |
(log.f32 (fma.f32 x 2 (/.f32 -1/2 x))) |
(+.f32 (log.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) (log.f32 (pow.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 -1/2 x))) 2))) |
(+.f32 (*.f32 2 (log.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) (log.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) |
(*.f32 (log.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) 3) |
(+.f32 (log.f32 (sqrt.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) (log.f32 (sqrt.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) |
(*.f32 2 (log.f32 (sqrt.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) |
(+.f32 (+.f32 0 (log.f32 (pow.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 -1/2 x))) 2))) (log.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) |
(+.f32 (*.f32 2 (log.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) (log.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) |
(*.f32 (log.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) 3) |
(+.f32 (+.f32 0 (log.f32 (sqrt.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) (log.f32 (sqrt.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) |
(*.f32 2 (log.f32 (sqrt.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) |
(+.f32 (*.f32 1 (log.f32 (pow.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 -1/2 x))) 2))) (*.f32 1 (log.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 -1/2 x)))))) |
(+.f32 (*.f32 2 (log.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) (log.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) |
(*.f32 (log.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) 3) |
(+.f32 (*.f32 1 (log.f32 (sqrt.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) (*.f32 1 (log.f32 (sqrt.f32 (fma.f32 x 2 (/.f32 -1/2 x)))))) |
(*.f32 2 (log.f32 (sqrt.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) |
(+.f32 (*.f32 (log.f32 (pow.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 -1/2 x))) 2)) 1) (*.f32 (log.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) 1)) |
(+.f32 (*.f32 2 (log.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) (log.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) |
(*.f32 (log.f32 (cbrt.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) 3) |
(+.f32 (*.f32 (log.f32 (sqrt.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) 1) (*.f32 (log.f32 (sqrt.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) 1)) |
(*.f32 2 (log.f32 (sqrt.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) |
(-.f32 (log.f32 (+.f32 (*.f32 8 (pow.f32 x 3)) (/.f32 -1/8 (pow.f32 x 3)))) (log.f32 (+.f32 (*.f32 4 (*.f32 x x)) (*.f32 (/.f32 1/2 x) (fma.f32 x 2 (/.f32 1/2 x)))))) |
(-.f32 (log.f32 (fma.f32 8 (pow.f32 x 3) (/.f32 -1/8 (pow.f32 x 3)))) (log.f32 (fma.f32 4 (*.f32 x x) (*.f32 (/.f32 1/2 x) (fma.f32 x 2 (/.f32 1/2 x)))))) |
(-.f32 (log.f32 (fma.f32 8 (pow.f32 x 3) (/.f32 -1/8 (pow.f32 x 3)))) (log.f32 (fma.f32 (*.f32 x x) 4 (*.f32 (/.f32 1/2 x) (fma.f32 x 2 (/.f32 1/2 x)))))) |
(-.f32 (log.f32 (fma.f32 8 (pow.f32 x 3) (/.f32 -1/8 (pow.f32 x 3)))) (log.f32 (fma.f32 x (*.f32 x 4) (/.f32 (+.f32 (*.f32 x 1) (/.f32 1/4 x)) x)))) |
(-.f32 (log.f32 (+.f32 (*.f32 4 (*.f32 x x)) (/.f32 (/.f32 -1/4 x) x))) (log.f32 (fma.f32 x 2 (/.f32 1/2 x)))) |
(-.f32 (log.f32 (fma.f32 4 (*.f32 x x) (/.f32 -1/4 (*.f32 x x)))) (log.f32 (fma.f32 x 2 (/.f32 1/2 x)))) |
(-.f32 (log.f32 (fma.f32 (*.f32 x x) 4 (/.f32 -1/4 (*.f32 x x)))) (log.f32 (fma.f32 x 2 (/.f32 1/2 x)))) |
(-.f32 (log.f32 (fma.f32 x (*.f32 x 4) (/.f32 -1/4 (*.f32 x x)))) (log.f32 (fma.f32 x 2 (/.f32 1/2 x)))) |
(-.f32 (exp.f32 (log1p.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) 1) |
(log.f32 (fma.f32 x 2 (/.f32 -1/2 x))) |
(-.f32 (+.f32 0 (log.f32 (+.f32 (*.f32 8 (pow.f32 x 3)) (/.f32 -1/8 (pow.f32 x 3))))) (log.f32 (+.f32 (*.f32 4 (*.f32 x x)) (*.f32 (/.f32 1/2 x) (fma.f32 x 2 (/.f32 1/2 x)))))) |
(-.f32 (log.f32 (fma.f32 8 (pow.f32 x 3) (/.f32 -1/8 (pow.f32 x 3)))) (log.f32 (fma.f32 4 (*.f32 x x) (*.f32 (/.f32 1/2 x) (fma.f32 x 2 (/.f32 1/2 x)))))) |
(-.f32 (log.f32 (fma.f32 8 (pow.f32 x 3) (/.f32 -1/8 (pow.f32 x 3)))) (log.f32 (fma.f32 (*.f32 x x) 4 (*.f32 (/.f32 1/2 x) (fma.f32 x 2 (/.f32 1/2 x)))))) |
(-.f32 (log.f32 (fma.f32 8 (pow.f32 x 3) (/.f32 -1/8 (pow.f32 x 3)))) (log.f32 (fma.f32 x (*.f32 x 4) (/.f32 (+.f32 (*.f32 x 1) (/.f32 1/4 x)) x)))) |
(-.f32 (+.f32 0 (log.f32 (+.f32 (*.f32 4 (*.f32 x x)) (/.f32 (/.f32 -1/4 x) x)))) (log.f32 (fma.f32 x 2 (/.f32 1/2 x)))) |
(-.f32 (log.f32 (fma.f32 4 (*.f32 x x) (/.f32 -1/4 (*.f32 x x)))) (log.f32 (fma.f32 x 2 (/.f32 1/2 x)))) |
(-.f32 (log.f32 (fma.f32 (*.f32 x x) 4 (/.f32 -1/4 (*.f32 x x)))) (log.f32 (fma.f32 x 2 (/.f32 1/2 x)))) |
(-.f32 (log.f32 (fma.f32 x (*.f32 x 4) (/.f32 -1/4 (*.f32 x x)))) (log.f32 (fma.f32 x 2 (/.f32 1/2 x)))) |
(-.f32 (+.f32 0 (exp.f32 (log1p.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))))) 1) |
(log.f32 (fma.f32 x 2 (/.f32 -1/2 x))) |
(*.f32 2 (log.f32 (sqrt.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) |
(*.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))) 1) |
(log.f32 (fma.f32 x 2 (/.f32 -1/2 x))) |
(*.f32 1 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) |
(log.f32 (fma.f32 x 2 (/.f32 -1/2 x))) |
(*.f32 (sqrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) (sqrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) |
(log.f32 (fma.f32 x 2 (/.f32 -1/2 x))) |
(*.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) (pow.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) 2)) |
(log.f32 (fma.f32 x 2 (/.f32 -1/2 x))) |
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) 2) (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) |
(log.f32 (fma.f32 x 2 (/.f32 -1/2 x))) |
(*.f32 (*.f32 (sqrt.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) (*.f32 (sqrt.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))))) |
(log.f32 (fma.f32 x 2 (/.f32 -1/2 x))) |
(*.f32 (*.f32 (cbrt.f32 (sqrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) (sqrt.f32 (pow.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) 2))) (*.f32 (cbrt.f32 (sqrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) (sqrt.f32 (pow.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) 2)))) |
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) 2) (*.f32 (cbrt.f32 (sqrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) (cbrt.f32 (sqrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))))) |
(*.f32 (*.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) (sqrt.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))))) (*.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) (sqrt.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))))) |
(log.f32 (fma.f32 x 2 (/.f32 -1/2 x))) |
(*.f32 (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) 2)) (cbrt.f32 (sqrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))))) (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) 2)) (cbrt.f32 (sqrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))))) |
(*.f32 (*.f32 (cbrt.f32 (sqrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) (sqrt.f32 (pow.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) 2))) (*.f32 (cbrt.f32 (sqrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) (sqrt.f32 (pow.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) 2)))) |
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) 2) (*.f32 (cbrt.f32 (sqrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) (cbrt.f32 (sqrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))))) |
(pow.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))) 1) |
(log.f32 (fma.f32 x 2 (/.f32 -1/2 x))) |
(pow.f32 (sqrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) 2) |
(log.f32 (fma.f32 x 2 (/.f32 -1/2 x))) |
(pow.f32 (cbrt.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x)))) 3) |
(log.f32 (fma.f32 x 2 (/.f32 -1/2 x))) |
(pow.f32 (pow.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))) 3) 1/3) |
(log.f32 (fma.f32 x 2 (/.f32 -1/2 x))) |
(sqrt.f32 (pow.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))) 2)) |
(log.f32 (fma.f32 x 2 (/.f32 -1/2 x))) |
(cbrt.f32 (pow.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))) 3)) |
(log.f32 (fma.f32 x 2 (/.f32 -1/2 x))) |
(expm1.f32 (log1p.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) |
(log.f32 (fma.f32 x 2 (/.f32 -1/2 x))) |
(exp.f32 (log.f32 (log.f32 (fma.f32 x 2 (/.f32 -1/2 x))))) |
(log.f32 (fma.f32 x 2 (/.f32 -1/2 x))) |
(log1p.f32 (-.f32 (fma.f32 x 2 (/.f32 -1/2 x)) 1)) |
(log1p.f32 (+.f32 (fma.f32 x 2 (/.f32 -1/2 x)) -1)) |
(log1p.f32 (+.f32 -1 (fma.f32 x 2 (/.f32 -1/2 x)))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.04% | (*.f32 (+.f32 x 1) (+.f32 x -1)) |
| ✓ | 0.15% | (+.f32 x (sqrt.f32 (*.f32 (+.f32 x 1) (+.f32 x -1)))) |
| ✓ | 0.39% | (log.f32 (+.f32 x (sqrt.f32 (*.f32 (+.f32 x 1) (+.f32 x -1))))) |
| ✓ | 44.95% | (sqrt.f32 (*.f32 (+.f32 x 1) (+.f32 x -1))) |
Compiled 46 to 33 computations (28.3% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (log.f32 (+.f32 x (sqrt.f32 (*.f32 (+.f32 x 1) (+.f32 x -1))))) |
| 0.0ms | x | @ | -inf | (sqrt.f32 (*.f32 (+.f32 x 1) (+.f32 x -1))) |
| 0.0ms | x | @ | 0 | (sqrt.f32 (*.f32 (+.f32 x 1) (+.f32 x -1))) |
| 0.0ms | x | @ | -inf | (*.f32 (+.f32 x 1) (+.f32 x -1)) |
| 0.0ms | x | @ | inf | (log.f32 (+.f32 x (sqrt.f32 (*.f32 (+.f32 x 1) (+.f32 x -1))))) |
| 1× | batch-egg-rewrite |
| 1406× | distribute-rgt-in |
| 1368× | distribute-lft-in |
| 770× | associate-/r* |
| 626× | associate-/r/ |
| 482× | associate-/l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 104 |
| 1 | 258 | 64 |
| 2 | 3488 | 64 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f32 (*.f32 (+.f32 x 1) (+.f32 x -1))) |
(log.f32 (+.f32 x (sqrt.f32 (*.f32 (+.f32 x 1) (+.f32 x -1))))) |
(+.f32 x (sqrt.f32 (*.f32 (+.f32 x 1) (+.f32 x -1)))) |
(*.f32 (+.f32 x 1) (+.f32 x -1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (sqrt.f32 (fma.f32 x x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (sqrt.f32 (fma.f32 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (fma.f32 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (+.f32 x -1)) (sqrt.f32 (+.f32 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (+.f32 x 1)) (sqrt.f32 (+.f32 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (fma.f32 x x -1) 1/4) (pow.f32 (fma.f32 x x -1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (sqrt.f32 (fma.f32 x x -1))) (cbrt.f32 (fma.f32 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (fma.f32 x x -1)) (cbrt.f32 (sqrt.f32 (fma.f32 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 2)) (sqrt.f32 (cbrt.f32 (fma.f32 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 1 1/2) (sqrt.f32 (fma.f32 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 2) 1/2) (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (fma.f32 x x -1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (fma.f32 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (fma.f32 x x -1) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (sqrt.f32 (fma.f32 x x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (fma.f32 x x -1) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (sqrt.f32 (fma.f32 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (sqrt.f32 (fma.f32 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (fma.f32 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (fma.f32 x x -1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (sqrt.f32 (fma.f32 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (sqrt.f32 (fma.f32 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (fma.f32 x x -1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sqrt.f32 (fma.f32 x x -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (sqrt.f32 (fma.f32 x x -1)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) (log.f32 (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2)) (log.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 0 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 0 (log.f32 (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2))) (log.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 1 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) (*.f32 1 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 1 (log.f32 (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2))) (*.f32 1 (log.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 1) (*.f32 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2)) 1) (*.f32 (log.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2))) (log.f32 (fma.f32 x x (-.f32 (fma.f32 x x -1) (*.f32 x (sqrt.f32 (fma.f32 x x -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (-.f32 (*.f32 x x) (fma.f32 x x -1))) (log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 0 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)))) (log.f32 (fma.f32 x x (-.f32 (fma.f32 x x -1) (*.f32 x (sqrt.f32 (fma.f32 x x -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 0 (log.f32 (-.f32 (*.f32 x x) (fma.f32 x x -1)))) (log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 0 (exp.f32 (log1p.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2) (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (+.f32 x (-.f32 (sqrt.f32 (fma.f32 x x -1)) 1))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 x 1) (-.f32 1 (sqrt.f32 (fma.f32 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (sqrt.f32 (fma.f32 x x -1)))) (-.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (*.f32 x x) (-.f32 x (sqrt.f32 (fma.f32 x x -1)))) (/.f32 (fma.f32 x x -1) (-.f32 x (sqrt.f32 (fma.f32 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 x (exp.f32 (log1p.f32 (sqrt.f32 (fma.f32 x x -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (sqrt.f32 (fma.f32 x x -1)) (+.f32 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2) (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 (*.f32 x x) (fma.f32 x x -1)) (/.f32 1 (-.f32 x (sqrt.f32 (fma.f32 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)) (/.f32 1 (fma.f32 x x (-.f32 (fma.f32 x x -1) (*.f32 x (sqrt.f32 (fma.f32 x x -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (-.f32 x (sqrt.f32 (fma.f32 x x -1)))) (-.f32 (*.f32 x x) (fma.f32 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (fma.f32 x x (-.f32 (fma.f32 x x -1) (*.f32 x (sqrt.f32 (fma.f32 x x -1)))))) (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 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(*.f32 (*.f32 x x) (*.f32 x x)) (-.f32 (*.f32 (-.f32 (fma.f32 x x -1) (*.f32 x (sqrt.f32 (fma.f32 x x -1)))) (-.f32 (fma.f32 x x -1) (*.f32 x (sqrt.f32 (fma.f32 x x -1))))) (*.f32 (*.f32 x x) (-.f32 (fma.f32 x x -1) (*.f32 x (sqrt.f32 (fma.f32 x x -1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 1 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) (/.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))) (-.f32 x (sqrt.f32 (fma.f32 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 x x) (fma.f32 x x -1)) (-.f32 x (sqrt.f32 (fma.f32 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)) (fma.f32 x x (-.f32 (fma.f32 x x -1) (*.f32 x (sqrt.f32 (fma.f32 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (fma.f32 x x (-.f32 (fma.f32 x x -1) (*.f32 x (sqrt.f32 (fma.f32 x x -1))))) (/.f32 (fma.f32 x x (-.f32 (fma.f32 x x -1) (*.f32 x (sqrt.f32 (fma.f32 x x -1))))) (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2))) (/.f32 (fma.f32 x x (-.f32 (fma.f32 x x -1) (*.f32 x (sqrt.f32 (fma.f32 x x -1))))) (sqrt.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 (-.f32 (*.f32 x x) (fma.f32 x x -1))) (/.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))) (sqrt.f32 (-.f32 (*.f32 x x) (fma.f32 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (cbrt.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2))) (cbrt.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)))) (/.f32 (fma.f32 x x (-.f32 (fma.f32 x x -1) (*.f32 x (sqrt.f32 (fma.f32 x x -1))))) (cbrt.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (cbrt.f32 (-.f32 (*.f32 x x) (fma.f32 x x -1))) (cbrt.f32 (-.f32 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(log.f32 (fma.f32 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (fma.f32 x x -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (fma.f32 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 x x -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 x (+.f32 x 1) (neg.f32 (+.f32 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (+.f32 x 1) x (neg.f32 (+.f32 x 1))))))) |
| 1× | egg-herbie |
| 1348× | associate-/l* |
| 1098× | associate-/r* |
| 1002× | associate-*r* |
| 964× | associate-/l/ |
| 798× | associate-*l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 802 | 13662 |
| 1 | 2157 | 13558 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f32 -1) |
(+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1)))) |
(+.f32 (*.f32 -1/8 (/.f32 (pow.f32 x 4) (pow.f32 (sqrt.f32 -1) 3))) (+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1))))) |
(+.f32 (*.f32 -1/8 (/.f32 (pow.f32 x 4) (pow.f32 (sqrt.f32 -1) 3))) (+.f32 (sqrt.f32 -1) (+.f32 (*.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1))) (*.f32 1/16 (/.f32 (pow.f32 x 6) (pow.f32 (sqrt.f32 -1) 5)))))) |
x |
(-.f32 x (*.f32 1/2 (/.f32 1 x))) |
(-.f32 x (+.f32 (*.f32 1/2 (/.f32 1 x)) (*.f32 1/8 (/.f32 1 (pow.f32 x 3))))) |
(-.f32 x (+.f32 (*.f32 1/2 (/.f32 1 x)) (+.f32 (*.f32 1/16 (/.f32 1 (pow.f32 x 5))) (*.f32 1/8 (/.f32 1 (pow.f32 x 3)))))) |
(*.f32 -1 (*.f32 (pow.f32 (sqrt.f32 -1) 2) x)) |
(-.f32 (*.f32 -1 (*.f32 (pow.f32 (sqrt.f32 -1) 2) x)) (*.f32 1/2 (/.f32 1 x))) |
(-.f32 (+.f32 (*.f32 1/8 (/.f32 1 (*.f32 (pow.f32 (sqrt.f32 -1) 2) (pow.f32 x 3)))) (*.f32 -1 (*.f32 (pow.f32 (sqrt.f32 -1) 2) x))) (*.f32 1/2 (/.f32 1 x))) |
(-.f32 (+.f32 (*.f32 1/8 (/.f32 1 (*.f32 (pow.f32 (sqrt.f32 -1) 2) (pow.f32 x 3)))) (*.f32 -1 (*.f32 (pow.f32 (sqrt.f32 -1) 2) x))) (+.f32 (*.f32 1/2 (/.f32 1 x)) (*.f32 1/16 (/.f32 1 (*.f32 (pow.f32 (sqrt.f32 -1) 4) (pow.f32 x 5)))))) |
(log.f32 (sqrt.f32 -1)) |
(+.f32 (/.f32 x (sqrt.f32 -1)) (log.f32 (sqrt.f32 -1))) |
(+.f32 (*.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 (sqrt.f32 -1) 3))) (+.f32 (/.f32 x (sqrt.f32 -1)) (log.f32 (sqrt.f32 -1)))) |
(+.f32 (*.f32 3/40 (/.f32 (pow.f32 x 5) (pow.f32 (sqrt.f32 -1) 5))) (+.f32 (*.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 (sqrt.f32 -1) 3))) (+.f32 (/.f32 x (sqrt.f32 -1)) (log.f32 (sqrt.f32 -1))))) |
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x)))) |
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))) |
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (+.f32 (*.f32 3/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))) |
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (+.f32 (*.f32 3/32 (/.f32 1 (pow.f32 x 4))) (+.f32 (*.f32 5/96 (/.f32 1 (pow.f32 x 6))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))) |
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 (-.f32 (pow.f32 (sqrt.f32 -1) 2) 1))) |
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (*.f32 1/2 (/.f32 1 (*.f32 (-.f32 (pow.f32 (sqrt.f32 -1) 2) 1) (pow.f32 x 2)))) (log.f32 (-.f32 (pow.f32 (sqrt.f32 -1) 2) 1)))) |
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 (-.f32 (pow.f32 (sqrt.f32 -1) 2) 1)) (+.f32 (*.f32 -1/24 (/.f32 (+.f32 (*.f32 3 (/.f32 1 (pow.f32 (-.f32 (pow.f32 (sqrt.f32 -1) 2) 1) 2))) (*.f32 3 (/.f32 1 (*.f32 (-.f32 (pow.f32 (sqrt.f32 -1) 2) 1) (pow.f32 (sqrt.f32 -1) 2))))) (pow.f32 x 4))) (*.f32 1/2 (/.f32 1 (*.f32 (-.f32 (pow.f32 (sqrt.f32 -1) 2) 1) (pow.f32 x 2))))))) |
(+.f32 (*.f32 1/720 (/.f32 (+.f32 (*.f32 45 (/.f32 1 (*.f32 (pow.f32 (-.f32 (pow.f32 (sqrt.f32 -1) 2) 1) 2) (pow.f32 (sqrt.f32 -1) 2)))) (+.f32 (*.f32 45 (/.f32 1 (*.f32 (-.f32 (pow.f32 (sqrt.f32 -1) 2) 1) (pow.f32 (sqrt.f32 -1) 4)))) (*.f32 30 (/.f32 1 (pow.f32 (-.f32 (pow.f32 (sqrt.f32 -1) 2) 1) 3))))) (pow.f32 x 6))) (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 (-.f32 (pow.f32 (sqrt.f32 -1) 2) 1)) (+.f32 (*.f32 -1/24 (/.f32 (+.f32 (*.f32 3 (/.f32 1 (pow.f32 (-.f32 (pow.f32 (sqrt.f32 -1) 2) 1) 2))) (*.f32 3 (/.f32 1 (*.f32 (-.f32 (pow.f32 (sqrt.f32 -1) 2) 1) (pow.f32 (sqrt.f32 -1) 2))))) (pow.f32 x 4))) (*.f32 1/2 (/.f32 1 (*.f32 (-.f32 (pow.f32 (sqrt.f32 -1) 2) 1) (pow.f32 x 2)))))))) |
(sqrt.f32 -1) |
(+.f32 (sqrt.f32 -1) x) |
(+.f32 (sqrt.f32 -1) (+.f32 (*.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1))) x)) |
(+.f32 (*.f32 -1/8 (/.f32 (pow.f32 x 4) (pow.f32 (sqrt.f32 -1) 3))) (+.f32 (sqrt.f32 -1) (+.f32 (*.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1))) x))) |
(*.f32 2 x) |
(-.f32 (*.f32 2 x) (*.f32 1/2 (/.f32 1 x))) |
(-.f32 (*.f32 2 x) (+.f32 (*.f32 1/2 (/.f32 1 x)) (*.f32 1/8 (/.f32 1 (pow.f32 x 3))))) |
(-.f32 (*.f32 2 x) (+.f32 (*.f32 1/2 (/.f32 1 x)) (+.f32 (*.f32 1/16 (/.f32 1 (pow.f32 x 5))) (*.f32 1/8 (/.f32 1 (pow.f32 x 3)))))) |
(*.f32 -1 (*.f32 (-.f32 (pow.f32 (sqrt.f32 -1) 2) 1) x)) |
(-.f32 (*.f32 -1 (*.f32 (-.f32 (pow.f32 (sqrt.f32 -1) 2) 1) x)) (*.f32 1/2 (/.f32 1 x))) |
(-.f32 (+.f32 (*.f32 1/8 (/.f32 1 (*.f32 (pow.f32 (sqrt.f32 -1) 2) (pow.f32 x 3)))) (*.f32 -1 (*.f32 (-.f32 (pow.f32 (sqrt.f32 -1) 2) 1) x))) (*.f32 1/2 (/.f32 1 x))) |
(-.f32 (+.f32 (*.f32 1/8 (/.f32 1 (*.f32 (pow.f32 (sqrt.f32 -1) 2) (pow.f32 x 3)))) (*.f32 -1 (*.f32 (-.f32 (pow.f32 (sqrt.f32 -1) 2) 1) x))) (+.f32 (*.f32 1/2 (/.f32 1 x)) (*.f32 1/16 (/.f32 1 (*.f32 (pow.f32 (sqrt.f32 -1) 4) (pow.f32 x 5)))))) |
-1 |
(-.f32 (pow.f32 x 2) 1) |
(-.f32 (pow.f32 x 2) 1) |
(-.f32 (pow.f32 x 2) 1) |
(pow.f32 x 2) |
(-.f32 (pow.f32 x 2) 1) |
(-.f32 (pow.f32 x 2) 1) |
(-.f32 (pow.f32 x 2) 1) |
(pow.f32 x 2) |
(-.f32 (pow.f32 x 2) 1) |
(-.f32 (pow.f32 x 2) 1) |
(-.f32 (pow.f32 x 2) 1) |
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (fma.f32 x x -1)))) 1) |
(*.f32 1 (sqrt.f32 (fma.f32 x x -1))) |
(*.f32 (sqrt.f32 (fma.f32 x x -1)) 1) |
(*.f32 (sqrt.f32 (+.f32 x -1)) (sqrt.f32 (+.f32 x 1))) |
(*.f32 (sqrt.f32 (+.f32 x 1)) (sqrt.f32 (+.f32 x -1))) |
(*.f32 (pow.f32 (fma.f32 x x -1) 1/4) (pow.f32 (fma.f32 x x -1) 1/4)) |
(*.f32 (cbrt.f32 (sqrt.f32 (fma.f32 x x -1))) (cbrt.f32 (fma.f32 x x -1))) |
(*.f32 (cbrt.f32 (fma.f32 x x -1)) (cbrt.f32 (sqrt.f32 (fma.f32 x x -1)))) |
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 2)) (sqrt.f32 (cbrt.f32 (fma.f32 x x -1)))) |
(*.f32 (pow.f32 1 1/2) (sqrt.f32 (fma.f32 x x -1))) |
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 2) 1/2) (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 1/2)) |
(pow.f32 (fma.f32 x x -1) 1/2) |
(pow.f32 (sqrt.f32 (fma.f32 x x -1)) 1) |
(pow.f32 (pow.f32 (fma.f32 x x -1) 1/4) 2) |
(pow.f32 (cbrt.f32 (sqrt.f32 (fma.f32 x x -1))) 3) |
(pow.f32 (pow.f32 (fma.f32 x x -1) 3/2) 1/3) |
(fabs.f32 (sqrt.f32 (fma.f32 x x -1))) |
(log.f32 (exp.f32 (sqrt.f32 (fma.f32 x x -1)))) |
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (fma.f32 x x -1))))) |
(cbrt.f32 (pow.f32 (fma.f32 x x -1) 3/2)) |
(expm1.f32 (log1p.f32 (sqrt.f32 (fma.f32 x x -1)))) |
(exp.f32 (log.f32 (sqrt.f32 (fma.f32 x x -1)))) |
(exp.f32 (*.f32 (log.f32 (fma.f32 x x -1)) 1/2)) |
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (fma.f32 x x -1))) 1)) |
(log1p.f32 (expm1.f32 (sqrt.f32 (fma.f32 x x -1)))) |
(+.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 0) |
(+.f32 0 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) |
(+.f32 (log.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) (log.f32 (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2))) |
(+.f32 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) |
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2)) (log.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) |
(+.f32 (+.f32 0 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) |
(+.f32 (+.f32 0 (log.f32 (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2))) (log.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) |
(+.f32 (*.f32 1 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) (*.f32 1 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))) |
(+.f32 (*.f32 1 (log.f32 (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2))) (*.f32 1 (log.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))) |
(+.f32 (*.f32 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 1) (*.f32 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 1)) |
(+.f32 (*.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2)) 1) (*.f32 (log.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 1)) |
(-.f32 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2))) (log.f32 (fma.f32 x x (-.f32 (fma.f32 x x -1) (*.f32 x (sqrt.f32 (fma.f32 x x -1))))))) |
(-.f32 (log.f32 (-.f32 (*.f32 x x) (fma.f32 x x -1))) (log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))))) |
(-.f32 (exp.f32 (log1p.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) 1) |
(-.f32 (+.f32 0 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)))) (log.f32 (fma.f32 x x (-.f32 (fma.f32 x x -1) (*.f32 x (sqrt.f32 (fma.f32 x x -1))))))) |
(-.f32 (+.f32 0 (log.f32 (-.f32 (*.f32 x x) (fma.f32 x x -1)))) (log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))))) |
(-.f32 (+.f32 0 (exp.f32 (log1p.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))) 1) |
(*.f32 1 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) |
(*.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 1) |
(*.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) |
(*.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2)) |
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2) (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) |
(*.f32 2 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) |
(pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 1) |
(pow.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2) |
(pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 3) |
(pow.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 3) 1/3) |
(sqrt.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2)) |
(cbrt.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 3)) |
(expm1.f32 (log1p.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) |
(exp.f32 (log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) |
(exp.f32 (*.f32 (log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 1)) |
(log1p.f32 (+.f32 x (-.f32 (sqrt.f32 (fma.f32 x x -1)) 1))) |
(-.f32 (+.f32 x 1) (-.f32 1 (sqrt.f32 (fma.f32 x x -1)))) |
(-.f32 (exp.f32 (log1p.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 1) |
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (fma.f32 x x -1)))) (-.f32 1 x)) |
(-.f32 (/.f32 (*.f32 x x) (-.f32 x (sqrt.f32 (fma.f32 x x -1)))) (/.f32 (fma.f32 x x -1) (-.f32 x (sqrt.f32 (fma.f32 x x -1))))) |
(-.f32 (+.f32 x (exp.f32 (log1p.f32 (sqrt.f32 (fma.f32 x x -1))))) 1) |
(-.f32 (+.f32 (sqrt.f32 (fma.f32 x x -1)) (+.f32 x 1)) 1) |
(*.f32 1 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) |
(*.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 1) |
(*.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) |
(*.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2)) |
(*.f32 (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2) (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) |
(*.f32 (-.f32 (*.f32 x x) (fma.f32 x x -1)) (/.f32 1 (-.f32 x (sqrt.f32 (fma.f32 x x -1))))) |
(*.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)) (/.f32 1 (fma.f32 x x (-.f32 (fma.f32 x x -1) (*.f32 x (sqrt.f32 (fma.f32 x x -1))))))) |
(*.f32 (/.f32 1 (-.f32 x (sqrt.f32 (fma.f32 x x -1)))) (-.f32 (*.f32 x x) (fma.f32 x x -1))) |
(*.f32 (/.f32 1 (fma.f32 x x (-.f32 (fma.f32 x x -1) (*.f32 x (sqrt.f32 (fma.f32 x x -1)))))) (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2))) |
(*.f32 (/.f32 (-.f32 (*.f32 x x) (fma.f32 x x -1)) (-.f32 (*.f32 x x) (fma.f32 x x -1))) (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) |
(*.f32 (/.f32 (-.f32 (*.f32 x x) (fma.f32 x x -1)) (-.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2))) (+.f32 (*.f32 x x) (+.f32 (fma.f32 x x -1) (*.f32 x (sqrt.f32 (fma.f32 x x -1)))))) |
(*.f32 (/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)) (-.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (*.f32 (-.f32 (fma.f32 x x -1) (*.f32 x (sqrt.f32 (fma.f32 x x -1)))) (-.f32 (fma.f32 x x -1) (*.f32 x (sqrt.f32 (fma.f32 x x -1))))))) (+.f32 (-.f32 (*.f32 x x) (fma.f32 x x -1)) (*.f32 x (sqrt.f32 (fma.f32 x x -1))))) |
(*.f32 (/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)) (+.f32 (pow.f32 (*.f32 x x) 3) (pow.f32 (-.f32 (fma.f32 x x -1) (*.f32 x (sqrt.f32 (fma.f32 x x -1)))) 3))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (-.f32 (*.f32 (-.f32 (fma.f32 x x -1) (*.f32 x (sqrt.f32 (fma.f32 x x -1)))) (-.f32 (fma.f32 x x -1) (*.f32 x (sqrt.f32 (fma.f32 x x -1))))) (*.f32 (*.f32 x x) (-.f32 (fma.f32 x x -1) (*.f32 x (sqrt.f32 (fma.f32 x x -1)))))))) |
(/.f32 1 (/.f32 1 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) |
(/.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) (/.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))) (-.f32 x (sqrt.f32 (fma.f32 x x -1))))) |
(/.f32 (-.f32 (*.f32 x x) (fma.f32 x x -1)) (-.f32 x (sqrt.f32 (fma.f32 x x -1)))) |
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)) (fma.f32 x x (-.f32 (fma.f32 x x -1) (*.f32 x (sqrt.f32 (fma.f32 x x -1)))))) |
(/.f32 (fma.f32 x x (-.f32 (fma.f32 x x -1) (*.f32 x (sqrt.f32 (fma.f32 x x -1))))) (/.f32 (fma.f32 x x (-.f32 (fma.f32 x x -1) (*.f32 x (sqrt.f32 (fma.f32 x x -1))))) (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) |
(/.f32 (sqrt.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2))) (/.f32 (fma.f32 x x (-.f32 (fma.f32 x x -1) (*.f32 x (sqrt.f32 (fma.f32 x x -1))))) (sqrt.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2))))) |
(/.f32 (sqrt.f32 (-.f32 (*.f32 x x) (fma.f32 x x -1))) (/.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))) (sqrt.f32 (-.f32 (*.f32 x x) (fma.f32 x x -1))))) |
(/.f32 (*.f32 (cbrt.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2))) (cbrt.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)))) (/.f32 (fma.f32 x x (-.f32 (fma.f32 x x -1) (*.f32 x (sqrt.f32 (fma.f32 x x -1))))) (cbrt.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2))))) |
(/.f32 (*.f32 (cbrt.f32 (-.f32 (*.f32 x x) (fma.f32 x x -1))) (cbrt.f32 (-.f32 (*.f32 x x) (fma.f32 x x -1)))) (/.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))) (cbrt.f32 (-.f32 (*.f32 x x) (fma.f32 x x -1))))) |
(/.f32 (-.f32 (fma.f32 x x -1) (*.f32 x x)) (-.f32 (sqrt.f32 (fma.f32 x x -1)) x)) |
(/.f32 (-.f32 (*.f32 (pow.f32 x 3) (pow.f32 x 3)) (pow.f32 (fma.f32 x x -1) 3)) (*.f32 (fma.f32 x x (-.f32 (fma.f32 x x -1) (*.f32 x (sqrt.f32 (fma.f32 x x -1))))) (-.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)))) |
(/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (pow.f32 (fma.f32 x x -1) 2)) (*.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))) (+.f32 (fma.f32 x x -1) (*.f32 x x)))) |
(/.f32 (+.f32 (pow.f32 (pow.f32 x 3) 3) (pow.f32 (pow.f32 (fma.f32 x x -1) 3/2) 3)) (*.f32 (fma.f32 x x (-.f32 (fma.f32 x x -1) (*.f32 x (sqrt.f32 (fma.f32 x x -1))))) (+.f32 (*.f32 (pow.f32 x 3) (pow.f32 x 3)) (-.f32 (pow.f32 (fma.f32 x x -1) 3) (*.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)))))) |
(/.f32 (-.f32 (pow.f32 (*.f32 x x) 3) (pow.f32 (fma.f32 x x -1) 3)) (*.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (pow.f32 (fma.f32 x x -1) 2) (*.f32 (*.f32 x x) (fma.f32 x x -1)))))) |
(/.f32 (neg.f32 (-.f32 (*.f32 x x) (fma.f32 x x -1))) (neg.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))))) |
(/.f32 (neg.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2))) (neg.f32 (fma.f32 x x (-.f32 (fma.f32 x x -1) (*.f32 x (sqrt.f32 (fma.f32 x x -1))))))) |
(/.f32 (/.f32 (-.f32 (*.f32 x x) (fma.f32 x x -1)) 1) (-.f32 x (sqrt.f32 (fma.f32 x x -1)))) |
(/.f32 (/.f32 (-.f32 (*.f32 x x) (fma.f32 x x -1)) (sqrt.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))))) (sqrt.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))))) |
(/.f32 (/.f32 (-.f32 (*.f32 x x) (fma.f32 x x -1)) (*.f32 (cbrt.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1)))) (cbrt.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1)))))) (cbrt.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))))) |
(/.f32 (/.f32 (-.f32 (*.f32 x x) (fma.f32 x x -1)) (+.f32 (pow.f32 (fma.f32 x x -1) 1/4) (sqrt.f32 x))) (-.f32 (sqrt.f32 x) (pow.f32 (fma.f32 x x -1) 1/4))) |
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(/.f32 (/.f32 (*.f32 (+.f32 x -1) (+.f32 1 (pow.f32 x 3))) (*.f32 (cbrt.f32 (fma.f32 x x (-.f32 1 x))) (cbrt.f32 (fma.f32 x x (-.f32 1 x))))) (cbrt.f32 (fma.f32 x x (-.f32 1 x)))) |
(/.f32 (/.f32 (*.f32 (fma.f32 x x -1) (+.f32 x -1)) (sqrt.f32 (+.f32 x -1))) (sqrt.f32 (+.f32 x -1))) |
(/.f32 (/.f32 (*.f32 (fma.f32 x x -1) (+.f32 x -1)) (cbrt.f32 (+.f32 x -1))) (pow.f32 (cbrt.f32 (+.f32 x -1)) 2)) |
(/.f32 (/.f32 (*.f32 (fma.f32 x x -1) (+.f32 x -1)) (pow.f32 (cbrt.f32 (+.f32 x -1)) 2)) (cbrt.f32 (+.f32 x -1))) |
(/.f32 (/.f32 (*.f32 (fma.f32 x x -1) (+.f32 x -1)) (+.f32 -1 (pow.f32 x 3))) (/.f32 1 (fma.f32 x x (-.f32 1 (*.f32 x -1))))) |
(/.f32 (/.f32 (*.f32 (fma.f32 x x -1) (+.f32 x -1)) (+.f32 1 (sqrt.f32 x))) (-.f32 (sqrt.f32 x) 1)) |
(/.f32 (/.f32 (*.f32 (+.f32 1 (pow.f32 x 3)) (+.f32 x -1)) 1) (fma.f32 x x (-.f32 1 x))) |
(/.f32 (/.f32 (*.f32 (+.f32 1 (pow.f32 x 3)) (+.f32 x -1)) (sqrt.f32 (fma.f32 x x (-.f32 1 x)))) (sqrt.f32 (fma.f32 x x (-.f32 1 x)))) |
(/.f32 (/.f32 (*.f32 (+.f32 1 (pow.f32 x 3)) (+.f32 x -1)) (*.f32 (cbrt.f32 (fma.f32 x x (-.f32 1 x))) (cbrt.f32 (fma.f32 x x (-.f32 1 x))))) (cbrt.f32 (fma.f32 x x (-.f32 1 x)))) |
(/.f32 (/.f32 (*.f32 (fma.f32 x x -1) (+.f32 x 1)) 1) (+.f32 x 1)) |
(/.f32 (/.f32 (*.f32 (fma.f32 x x -1) (+.f32 x 1)) (sqrt.f32 (+.f32 x 1))) (sqrt.f32 (+.f32 x 1))) |
(/.f32 (/.f32 (*.f32 (fma.f32 x x -1) (+.f32 x 1)) (cbrt.f32 (+.f32 x 1))) (pow.f32 (cbrt.f32 (+.f32 x 1)) 2)) |
(/.f32 (/.f32 (*.f32 (fma.f32 x x -1) (+.f32 x 1)) (pow.f32 (cbrt.f32 (+.f32 x 1)) 2)) (cbrt.f32 (+.f32 x 1))) |
(/.f32 (/.f32 (*.f32 (fma.f32 x x -1) (+.f32 x 1)) (+.f32 1 (pow.f32 x 3))) (/.f32 1 (fma.f32 x x (-.f32 1 x)))) |
(/.f32 (/.f32 (*.f32 (+.f32 -1 (pow.f32 x 3)) (+.f32 x 1)) 1) (fma.f32 x x (-.f32 1 (*.f32 x -1)))) |
(/.f32 (/.f32 (*.f32 (+.f32 -1 (pow.f32 x 3)) (+.f32 x 1)) (sqrt.f32 (fma.f32 x x (-.f32 1 (*.f32 x -1))))) (sqrt.f32 (fma.f32 x x (-.f32 1 (*.f32 x -1))))) |
(/.f32 (/.f32 (*.f32 (+.f32 -1 (pow.f32 x 3)) (+.f32 x 1)) (*.f32 (cbrt.f32 (fma.f32 x x (-.f32 1 (*.f32 x -1)))) (cbrt.f32 (fma.f32 x x (-.f32 1 (*.f32 x -1)))))) (cbrt.f32 (fma.f32 x x (-.f32 1 (*.f32 x -1))))) |
(/.f32 (/.f32 (*.f32 (fma.f32 x x -1) (+.f32 -1 (pow.f32 x 3))) (+.f32 x -1)) (fma.f32 x x (-.f32 1 (*.f32 x -1)))) |
(/.f32 (/.f32 (*.f32 (+.f32 1 (pow.f32 x 3)) (fma.f32 x x -1)) (fma.f32 x x (-.f32 1 x))) (+.f32 x 1)) |
(/.f32 (/.f32 (*.f32 (+.f32 1 (pow.f32 x 3)) (+.f32 -1 (pow.f32 x 3))) (fma.f32 x x (-.f32 1 x))) (fma.f32 x x (-.f32 1 (*.f32 x -1)))) |
(/.f32 (/.f32 (*.f32 (fma.f32 x x -1) (+.f32 1 (pow.f32 x 3))) (+.f32 x 1)) (fma.f32 x x (-.f32 1 x))) |
(/.f32 (/.f32 (*.f32 (+.f32 -1 (pow.f32 x 3)) (+.f32 1 (pow.f32 x 3))) (fma.f32 x x (-.f32 1 (*.f32 x -1)))) (fma.f32 x x (-.f32 1 x))) |
(pow.f32 (fma.f32 x x -1) 1) |
(pow.f32 (sqrt.f32 (fma.f32 x x -1)) 2) |
(pow.f32 (cbrt.f32 (fma.f32 x x -1)) 3) |
(pow.f32 (pow.f32 (fma.f32 x x -1) 2) 1/2) |
(pow.f32 (pow.f32 (fma.f32 x x -1) 3) 1/3) |
(sqrt.f32 (pow.f32 (fma.f32 x x -1) 2)) |
(log.f32 (exp.f32 (fma.f32 x x -1))) |
(log.f32 (+.f32 1 (expm1.f32 (fma.f32 x x -1)))) |
(cbrt.f32 (pow.f32 (fma.f32 x x -1) 3)) |
(cbrt.f32 (*.f32 (pow.f32 (+.f32 x 1) 3) (pow.f32 (+.f32 x -1) 3))) |
(cbrt.f32 (*.f32 (pow.f32 (+.f32 x -1) 3) (pow.f32 (+.f32 x 1) 3))) |
(expm1.f32 (log1p.f32 (fma.f32 x x -1))) |
(exp.f32 (log.f32 (fma.f32 x x -1))) |
(exp.f32 (*.f32 (log.f32 (fma.f32 x x -1)) 1)) |
(log1p.f32 (expm1.f32 (fma.f32 x x -1))) |
(fma.f32 x x -1) |
(fma.f32 x (+.f32 x 1) (neg.f32 (+.f32 x 1))) |
(fma.f32 (+.f32 x 1) x (neg.f32 (+.f32 x 1))) |
| Outputs |
|---|
(sqrt.f32 -1) |
(+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1)))) |
(+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (*.f32 x x) (sqrt.f32 -1)))) |
(+.f32 (sqrt.f32 -1) (/.f32 1/2 (/.f32 (sqrt.f32 -1) (*.f32 x x)))) |
(+.f32 (*.f32 -1/8 (/.f32 (pow.f32 x 4) (pow.f32 (sqrt.f32 -1) 3))) (+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1))))) |
(fma.f32 -1/8 (/.f32 (pow.f32 x 4) (pow.f32 (sqrt.f32 -1) 3)) (+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (*.f32 x x) (sqrt.f32 -1))))) |
(fma.f32 -1/8 (/.f32 (pow.f32 x 4) (pow.f32 (sqrt.f32 -1) 3)) (+.f32 (sqrt.f32 -1) (/.f32 1/2 (/.f32 (sqrt.f32 -1) (*.f32 x x))))) |
(+.f32 (*.f32 -1/8 (/.f32 (pow.f32 x 4) (pow.f32 (sqrt.f32 -1) 3))) (+.f32 (sqrt.f32 -1) (+.f32 (*.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1))) (*.f32 1/16 (/.f32 (pow.f32 x 6) (pow.f32 (sqrt.f32 -1) 5)))))) |
(fma.f32 -1/8 (/.f32 (pow.f32 x 4) (pow.f32 (sqrt.f32 -1) 3)) (+.f32 (sqrt.f32 -1) (fma.f32 1/2 (/.f32 (*.f32 x x) (sqrt.f32 -1)) (*.f32 1/16 (/.f32 (pow.f32 x 6) (pow.f32 (sqrt.f32 -1) 5)))))) |
(fma.f32 -1/8 (/.f32 (pow.f32 x 4) (pow.f32 (sqrt.f32 -1) 3)) (+.f32 (sqrt.f32 -1) (fma.f32 1/2 (/.f32 x (/.f32 (sqrt.f32 -1) x)) (/.f32 1/16 (/.f32 (pow.f32 (sqrt.f32 -1) 5) (pow.f32 x 6)))))) |
x |
(-.f32 x (*.f32 1/2 (/.f32 1 x))) |
(-.f32 x (/.f32 1/2 x)) |
(+.f32 x (/.f32 -1/2 x)) |
(-.f32 x (+.f32 (*.f32 1/2 (/.f32 1 x)) (*.f32 1/8 (/.f32 1 (pow.f32 x 3))))) |
(-.f32 x (+.f32 (/.f32 1/2 x) (/.f32 1/8 (pow.f32 x 3)))) |
(+.f32 x (-.f32 (/.f32 -1/2 x) (/.f32 1/8 (pow.f32 x 3)))) |
(-.f32 x (+.f32 (*.f32 1/2 (/.f32 1 x)) (+.f32 (*.f32 1/16 (/.f32 1 (pow.f32 x 5))) (*.f32 1/8 (/.f32 1 (pow.f32 x 3)))))) |
(-.f32 x (+.f32 (/.f32 1/2 x) (+.f32 (/.f32 1/8 (pow.f32 x 3)) (/.f32 1/16 (pow.f32 x 5))))) |
(-.f32 x (+.f32 (/.f32 1/8 (pow.f32 x 3)) (+.f32 (/.f32 1/2 x) (/.f32 1/16 (pow.f32 x 5))))) |
(*.f32 -1 (*.f32 (pow.f32 (sqrt.f32 -1) 2) x)) |
(neg.f32 (*.f32 x (pow.f32 (sqrt.f32 -1) 2))) |
(-.f32 (*.f32 -1 (*.f32 (pow.f32 (sqrt.f32 -1) 2) x)) (*.f32 1/2 (/.f32 1 x))) |
(-.f32 (neg.f32 (*.f32 x (pow.f32 (sqrt.f32 -1) 2))) (/.f32 1/2 x)) |
(+.f32 (neg.f32 (*.f32 x (pow.f32 (sqrt.f32 -1) 2))) (/.f32 -1/2 x)) |
(-.f32 (+.f32 (*.f32 1/8 (/.f32 1 (*.f32 (pow.f32 (sqrt.f32 -1) 2) (pow.f32 x 3)))) (*.f32 -1 (*.f32 (pow.f32 (sqrt.f32 -1) 2) x))) (*.f32 1/2 (/.f32 1 x))) |
(+.f32 (/.f32 1/8 (*.f32 (pow.f32 x 3) (pow.f32 (sqrt.f32 -1) 2))) (-.f32 (neg.f32 (*.f32 x (pow.f32 (sqrt.f32 -1) 2))) (/.f32 1/2 x))) |
(+.f32 (neg.f32 (*.f32 x (pow.f32 (sqrt.f32 -1) 2))) (+.f32 (/.f32 1/8 (*.f32 (pow.f32 x 3) (pow.f32 (sqrt.f32 -1) 2))) (/.f32 -1/2 x))) |
(-.f32 (+.f32 (*.f32 1/8 (/.f32 1 (*.f32 (pow.f32 (sqrt.f32 -1) 2) (pow.f32 x 3)))) (*.f32 -1 (*.f32 (pow.f32 (sqrt.f32 -1) 2) x))) (+.f32 (*.f32 1/2 (/.f32 1 x)) (*.f32 1/16 (/.f32 1 (*.f32 (pow.f32 (sqrt.f32 -1) 4) (pow.f32 x 5)))))) |
(-.f32 (+.f32 (neg.f32 (*.f32 x (pow.f32 (sqrt.f32 -1) 2))) (/.f32 1/8 (*.f32 (pow.f32 x 3) (pow.f32 (sqrt.f32 -1) 2)))) (+.f32 (/.f32 1/2 x) (/.f32 1/16 (*.f32 (pow.f32 x 5) (pow.f32 (sqrt.f32 -1) 4))))) |
(+.f32 (neg.f32 (*.f32 x (pow.f32 (sqrt.f32 -1) 2))) (-.f32 (/.f32 1/8 (*.f32 (pow.f32 x 3) (pow.f32 (sqrt.f32 -1) 2))) (+.f32 (/.f32 1/2 x) (/.f32 1/16 (*.f32 (pow.f32 x 5) (pow.f32 (sqrt.f32 -1) 4)))))) |
(log.f32 (sqrt.f32 -1)) |
(+.f32 (/.f32 x (sqrt.f32 -1)) (log.f32 (sqrt.f32 -1))) |
(+.f32 (log.f32 (sqrt.f32 -1)) (/.f32 x (sqrt.f32 -1))) |
(+.f32 (*.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 (sqrt.f32 -1) 3))) (+.f32 (/.f32 x (sqrt.f32 -1)) (log.f32 (sqrt.f32 -1)))) |
(fma.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 (sqrt.f32 -1) 3)) (+.f32 (log.f32 (sqrt.f32 -1)) (/.f32 x (sqrt.f32 -1)))) |
(+.f32 (*.f32 3/40 (/.f32 (pow.f32 x 5) (pow.f32 (sqrt.f32 -1) 5))) (+.f32 (*.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 (sqrt.f32 -1) 3))) (+.f32 (/.f32 x (sqrt.f32 -1)) (log.f32 (sqrt.f32 -1))))) |
(fma.f32 3/40 (/.f32 (pow.f32 x 5) (pow.f32 (sqrt.f32 -1) 5)) (fma.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 (sqrt.f32 -1) 3)) (+.f32 (log.f32 (sqrt.f32 -1)) (/.f32 x (sqrt.f32 -1))))) |
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x)))) |
(fma.f32 -1 (neg.f32 (log.f32 x)) (log.f32 2)) |
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))) |
(-.f32 (fma.f32 -1 (neg.f32 (log.f32 x)) (log.f32 2)) (/.f32 1/4 (*.f32 x x))) |
(+.f32 (fma.f32 -1 (neg.f32 (log.f32 x)) (log.f32 2)) (/.f32 -1/4 (*.f32 x x))) |
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (+.f32 (*.f32 3/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))) |
(-.f32 (fma.f32 -1 (neg.f32 (log.f32 x)) (log.f32 2)) (+.f32 (/.f32 1/4 (*.f32 x x)) (/.f32 3/32 (pow.f32 x 4)))) |
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (+.f32 (*.f32 3/32 (/.f32 1 (pow.f32 x 4))) (+.f32 (*.f32 5/96 (/.f32 1 (pow.f32 x 6))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))) |
(-.f32 (fma.f32 -1 (neg.f32 (log.f32 x)) (log.f32 2)) (+.f32 (/.f32 3/32 (pow.f32 x 4)) (+.f32 (/.f32 1/4 (*.f32 x x)) (/.f32 5/96 (pow.f32 x 6))))) |
(-.f32 (fma.f32 -1 (neg.f32 (log.f32 x)) (log.f32 2)) (+.f32 (/.f32 1/4 (*.f32 x x)) (+.f32 (/.f32 3/32 (pow.f32 x 4)) (/.f32 5/96 (pow.f32 x 6))))) |
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 (-.f32 (pow.f32 (sqrt.f32 -1) 2) 1))) |
(fma.f32 -1 (log.f32 (/.f32 -1 x)) (log.f32 (+.f32 (pow.f32 (sqrt.f32 -1) 2) -1))) |
(fma.f32 -1 (log.f32 (/.f32 -1 x)) (log.f32 (+.f32 -1 (pow.f32 (sqrt.f32 -1) 2)))) |
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (*.f32 1/2 (/.f32 1 (*.f32 (-.f32 (pow.f32 (sqrt.f32 -1) 2) 1) (pow.f32 x 2)))) (log.f32 (-.f32 (pow.f32 (sqrt.f32 -1) 2) 1)))) |
(fma.f32 -1 (log.f32 (/.f32 -1 x)) (+.f32 (log.f32 (+.f32 (pow.f32 (sqrt.f32 -1) 2) -1)) (/.f32 1/2 (*.f32 (+.f32 (pow.f32 (sqrt.f32 -1) 2) -1) (*.f32 x x))))) |
(+.f32 (fma.f32 -1 (log.f32 (/.f32 -1 x)) (log.f32 (+.f32 -1 (pow.f32 (sqrt.f32 -1) 2)))) (/.f32 (/.f32 1/2 (*.f32 x x)) (+.f32 -1 (pow.f32 (sqrt.f32 -1) 2)))) |
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 (-.f32 (pow.f32 (sqrt.f32 -1) 2) 1)) (+.f32 (*.f32 -1/24 (/.f32 (+.f32 (*.f32 3 (/.f32 1 (pow.f32 (-.f32 (pow.f32 (sqrt.f32 -1) 2) 1) 2))) (*.f32 3 (/.f32 1 (*.f32 (-.f32 (pow.f32 (sqrt.f32 -1) 2) 1) (pow.f32 (sqrt.f32 -1) 2))))) (pow.f32 x 4))) (*.f32 1/2 (/.f32 1 (*.f32 (-.f32 (pow.f32 (sqrt.f32 -1) 2) 1) (pow.f32 x 2))))))) |
(+.f32 (fma.f32 -1 (log.f32 (/.f32 -1 x)) (log.f32 (+.f32 (pow.f32 (sqrt.f32 -1) 2) -1))) (fma.f32 -1/24 (/.f32 (+.f32 (/.f32 3 (pow.f32 (+.f32 (pow.f32 (sqrt.f32 -1) 2) -1) 2)) (/.f32 3 (*.f32 (pow.f32 (sqrt.f32 -1) 2) (+.f32 (pow.f32 (sqrt.f32 -1) 2) -1)))) (pow.f32 x 4)) (/.f32 1/2 (*.f32 (+.f32 (pow.f32 (sqrt.f32 -1) 2) -1) (*.f32 x x))))) |
(+.f32 (fma.f32 -1 (log.f32 (/.f32 -1 x)) (log.f32 (+.f32 -1 (pow.f32 (sqrt.f32 -1) 2)))) (fma.f32 -1/24 (/.f32 (+.f32 (/.f32 3 (pow.f32 (+.f32 -1 (pow.f32 (sqrt.f32 -1) 2)) 2)) (/.f32 3 (*.f32 (pow.f32 (sqrt.f32 -1) 2) (+.f32 -1 (pow.f32 (sqrt.f32 -1) 2))))) (pow.f32 x 4)) (/.f32 (/.f32 1/2 (*.f32 x x)) (+.f32 -1 (pow.f32 (sqrt.f32 -1) 2))))) |
(+.f32 (*.f32 1/720 (/.f32 (+.f32 (*.f32 45 (/.f32 1 (*.f32 (pow.f32 (-.f32 (pow.f32 (sqrt.f32 -1) 2) 1) 2) (pow.f32 (sqrt.f32 -1) 2)))) (+.f32 (*.f32 45 (/.f32 1 (*.f32 (-.f32 (pow.f32 (sqrt.f32 -1) 2) 1) (pow.f32 (sqrt.f32 -1) 4)))) (*.f32 30 (/.f32 1 (pow.f32 (-.f32 (pow.f32 (sqrt.f32 -1) 2) 1) 3))))) (pow.f32 x 6))) (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 (-.f32 (pow.f32 (sqrt.f32 -1) 2) 1)) (+.f32 (*.f32 -1/24 (/.f32 (+.f32 (*.f32 3 (/.f32 1 (pow.f32 (-.f32 (pow.f32 (sqrt.f32 -1) 2) 1) 2))) (*.f32 3 (/.f32 1 (*.f32 (-.f32 (pow.f32 (sqrt.f32 -1) 2) 1) (pow.f32 (sqrt.f32 -1) 2))))) (pow.f32 x 4))) (*.f32 1/2 (/.f32 1 (*.f32 (-.f32 (pow.f32 (sqrt.f32 -1) 2) 1) (pow.f32 x 2)))))))) |
(fma.f32 1/720 (/.f32 (+.f32 (/.f32 45 (*.f32 (pow.f32 (sqrt.f32 -1) 2) (pow.f32 (+.f32 (pow.f32 (sqrt.f32 -1) 2) -1) 2))) (+.f32 (/.f32 45 (*.f32 (pow.f32 (sqrt.f32 -1) 4) (+.f32 (pow.f32 (sqrt.f32 -1) 2) -1))) (/.f32 30 (pow.f32 (+.f32 (pow.f32 (sqrt.f32 -1) 2) -1) 3)))) (pow.f32 x 6)) (+.f32 (fma.f32 -1 (log.f32 (/.f32 -1 x)) (log.f32 (+.f32 (pow.f32 (sqrt.f32 -1) 2) -1))) (fma.f32 -1/24 (/.f32 (+.f32 (/.f32 3 (pow.f32 (+.f32 (pow.f32 (sqrt.f32 -1) 2) -1) 2)) (/.f32 3 (*.f32 (pow.f32 (sqrt.f32 -1) 2) (+.f32 (pow.f32 (sqrt.f32 -1) 2) -1)))) (pow.f32 x 4)) (/.f32 1/2 (*.f32 (+.f32 (pow.f32 (sqrt.f32 -1) 2) -1) (*.f32 x x)))))) |
(fma.f32 1/720 (/.f32 (+.f32 (/.f32 45 (*.f32 (pow.f32 (sqrt.f32 -1) 2) (pow.f32 (+.f32 -1 (pow.f32 (sqrt.f32 -1) 2)) 2))) (+.f32 (/.f32 45 (*.f32 (pow.f32 (sqrt.f32 -1) 4) (+.f32 -1 (pow.f32 (sqrt.f32 -1) 2)))) (/.f32 30 (pow.f32 (+.f32 -1 (pow.f32 (sqrt.f32 -1) 2)) 3)))) (pow.f32 x 6)) (+.f32 (fma.f32 -1 (log.f32 (/.f32 -1 x)) (log.f32 (+.f32 -1 (pow.f32 (sqrt.f32 -1) 2)))) (fma.f32 -1/24 (/.f32 (+.f32 (/.f32 3 (pow.f32 (+.f32 -1 (pow.f32 (sqrt.f32 -1) 2)) 2)) (/.f32 3 (*.f32 (pow.f32 (sqrt.f32 -1) 2) (+.f32 -1 (pow.f32 (sqrt.f32 -1) 2))))) (pow.f32 x 4)) (/.f32 (/.f32 1/2 (*.f32 x x)) (+.f32 -1 (pow.f32 (sqrt.f32 -1) 2)))))) |
(sqrt.f32 -1) |
(+.f32 (sqrt.f32 -1) x) |
(+.f32 (sqrt.f32 -1) (+.f32 (*.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1))) x)) |
(+.f32 (sqrt.f32 -1) (fma.f32 1/2 (/.f32 (*.f32 x x) (sqrt.f32 -1)) x)) |
(+.f32 (sqrt.f32 -1) (fma.f32 1/2 (/.f32 x (/.f32 (sqrt.f32 -1) x)) x)) |
(+.f32 (*.f32 -1/8 (/.f32 (pow.f32 x 4) (pow.f32 (sqrt.f32 -1) 3))) (+.f32 (sqrt.f32 -1) (+.f32 (*.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1))) x))) |
(fma.f32 -1/8 (/.f32 (pow.f32 x 4) (pow.f32 (sqrt.f32 -1) 3)) (+.f32 (sqrt.f32 -1) (fma.f32 1/2 (/.f32 (*.f32 x x) (sqrt.f32 -1)) x))) |
(fma.f32 -1/8 (/.f32 (pow.f32 x 4) (pow.f32 (sqrt.f32 -1) 3)) (+.f32 (sqrt.f32 -1) (fma.f32 1/2 (/.f32 x (/.f32 (sqrt.f32 -1) x)) x))) |
(*.f32 2 x) |
(*.f32 x 2) |
(-.f32 (*.f32 2 x) (*.f32 1/2 (/.f32 1 x))) |
(-.f32 (*.f32 x 2) (/.f32 1/2 x)) |
(fma.f32 2 x (neg.f32 (/.f32 1/2 x))) |
(-.f32 (*.f32 2 x) (+.f32 (*.f32 1/2 (/.f32 1 x)) (*.f32 1/8 (/.f32 1 (pow.f32 x 3))))) |
(-.f32 (*.f32 x 2) (+.f32 (/.f32 1/2 x) (/.f32 1/8 (pow.f32 x 3)))) |
(-.f32 (fma.f32 2 x (neg.f32 (/.f32 1/2 x))) (/.f32 1/8 (pow.f32 x 3))) |
(-.f32 (*.f32 2 x) (+.f32 (*.f32 1/2 (/.f32 1 x)) (+.f32 (*.f32 1/16 (/.f32 1 (pow.f32 x 5))) (*.f32 1/8 (/.f32 1 (pow.f32 x 3)))))) |
(-.f32 (-.f32 (*.f32 x 2) (/.f32 1/2 x)) (+.f32 (/.f32 1/8 (pow.f32 x 3)) (/.f32 1/16 (pow.f32 x 5)))) |
(-.f32 (*.f32 x 2) (+.f32 (/.f32 1/8 (pow.f32 x 3)) (+.f32 (/.f32 1/2 x) (/.f32 1/16 (pow.f32 x 5))))) |
(*.f32 -1 (*.f32 (-.f32 (pow.f32 (sqrt.f32 -1) 2) 1) x)) |
(neg.f32 (*.f32 x (+.f32 (pow.f32 (sqrt.f32 -1) 2) -1))) |
(neg.f32 (*.f32 x (+.f32 -1 (pow.f32 (sqrt.f32 -1) 2)))) |
(-.f32 (*.f32 -1 (*.f32 (-.f32 (pow.f32 (sqrt.f32 -1) 2) 1) x)) (*.f32 1/2 (/.f32 1 x))) |
(-.f32 (neg.f32 (*.f32 x (+.f32 (pow.f32 (sqrt.f32 -1) 2) -1))) (/.f32 1/2 x)) |
(+.f32 (neg.f32 (*.f32 x (+.f32 -1 (pow.f32 (sqrt.f32 -1) 2)))) (/.f32 -1/2 x)) |
(-.f32 (+.f32 (*.f32 1/8 (/.f32 1 (*.f32 (pow.f32 (sqrt.f32 -1) 2) (pow.f32 x 3)))) (*.f32 -1 (*.f32 (-.f32 (pow.f32 (sqrt.f32 -1) 2) 1) x))) (*.f32 1/2 (/.f32 1 x))) |
(+.f32 (/.f32 1/8 (*.f32 (pow.f32 x 3) (pow.f32 (sqrt.f32 -1) 2))) (-.f32 (neg.f32 (*.f32 x (+.f32 (pow.f32 (sqrt.f32 -1) 2) -1))) (/.f32 1/2 x))) |
(+.f32 (/.f32 1/8 (*.f32 (pow.f32 x 3) (pow.f32 (sqrt.f32 -1) 2))) (+.f32 (neg.f32 (*.f32 x (+.f32 -1 (pow.f32 (sqrt.f32 -1) 2)))) (/.f32 -1/2 x))) |
(-.f32 (+.f32 (*.f32 1/8 (/.f32 1 (*.f32 (pow.f32 (sqrt.f32 -1) 2) (pow.f32 x 3)))) (*.f32 -1 (*.f32 (-.f32 (pow.f32 (sqrt.f32 -1) 2) 1) x))) (+.f32 (*.f32 1/2 (/.f32 1 x)) (*.f32 1/16 (/.f32 1 (*.f32 (pow.f32 (sqrt.f32 -1) 4) (pow.f32 x 5)))))) |
(+.f32 (/.f32 1/8 (*.f32 (pow.f32 x 3) (pow.f32 (sqrt.f32 -1) 2))) (-.f32 (neg.f32 (*.f32 x (+.f32 (pow.f32 (sqrt.f32 -1) 2) -1))) (+.f32 (/.f32 1/2 x) (/.f32 1/16 (*.f32 (pow.f32 x 5) (pow.f32 (sqrt.f32 -1) 4)))))) |
(+.f32 (/.f32 1/8 (*.f32 (pow.f32 x 3) (pow.f32 (sqrt.f32 -1) 2))) (-.f32 (neg.f32 (*.f32 x (+.f32 -1 (pow.f32 (sqrt.f32 -1) 2)))) (+.f32 (/.f32 1/2 x) (/.f32 1/16 (*.f32 (pow.f32 x 5) (pow.f32 (sqrt.f32 -1) 4)))))) |
-1 |
(-.f32 (pow.f32 x 2) 1) |
(fma.f32 x x -1) |
(-.f32 (pow.f32 x 2) 1) |
(fma.f32 x x -1) |
(-.f32 (pow.f32 x 2) 1) |
(fma.f32 x x -1) |
(pow.f32 x 2) |
(*.f32 x x) |
(-.f32 (pow.f32 x 2) 1) |
(fma.f32 x x -1) |
(-.f32 (pow.f32 x 2) 1) |
(fma.f32 x x -1) |
(-.f32 (pow.f32 x 2) 1) |
(fma.f32 x x -1) |
(pow.f32 x 2) |
(*.f32 x x) |
(-.f32 (pow.f32 x 2) 1) |
(fma.f32 x x -1) |
(-.f32 (pow.f32 x 2) 1) |
(fma.f32 x x -1) |
(-.f32 (pow.f32 x 2) 1) |
(fma.f32 x x -1) |
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (fma.f32 x x -1)))) 1) |
(sqrt.f32 (fma.f32 x x -1)) |
(*.f32 1 (sqrt.f32 (fma.f32 x x -1))) |
(sqrt.f32 (fma.f32 x x -1)) |
(*.f32 (sqrt.f32 (fma.f32 x x -1)) 1) |
(sqrt.f32 (fma.f32 x x -1)) |
(*.f32 (sqrt.f32 (+.f32 x -1)) (sqrt.f32 (+.f32 x 1))) |
(*.f32 (sqrt.f32 (+.f32 -1 x)) (sqrt.f32 (+.f32 x 1))) |
(*.f32 (sqrt.f32 (+.f32 x 1)) (sqrt.f32 (+.f32 x -1))) |
(*.f32 (sqrt.f32 (+.f32 -1 x)) (sqrt.f32 (+.f32 x 1))) |
(*.f32 (pow.f32 (fma.f32 x x -1) 1/4) (pow.f32 (fma.f32 x x -1) 1/4)) |
(sqrt.f32 (fma.f32 x x -1)) |
(*.f32 (cbrt.f32 (sqrt.f32 (fma.f32 x x -1))) (cbrt.f32 (fma.f32 x x -1))) |
(*.f32 (cbrt.f32 (fma.f32 x x -1)) (cbrt.f32 (sqrt.f32 (fma.f32 x x -1)))) |
(*.f32 (cbrt.f32 (sqrt.f32 (fma.f32 x x -1))) (cbrt.f32 (fma.f32 x x -1))) |
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 2)) (sqrt.f32 (cbrt.f32 (fma.f32 x x -1)))) |
(*.f32 (pow.f32 1 1/2) (sqrt.f32 (fma.f32 x x -1))) |
(sqrt.f32 (fma.f32 x x -1)) |
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 2) 1/2) (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 1/2)) |
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 2)) (sqrt.f32 (cbrt.f32 (fma.f32 x x -1)))) |
(pow.f32 (fma.f32 x x -1) 1/2) |
(sqrt.f32 (fma.f32 x x -1)) |
(pow.f32 (sqrt.f32 (fma.f32 x x -1)) 1) |
(sqrt.f32 (fma.f32 x x -1)) |
(pow.f32 (pow.f32 (fma.f32 x x -1) 1/4) 2) |
(sqrt.f32 (fma.f32 x x -1)) |
(pow.f32 (cbrt.f32 (sqrt.f32 (fma.f32 x x -1))) 3) |
(sqrt.f32 (fma.f32 x x -1)) |
(pow.f32 (pow.f32 (fma.f32 x x -1) 3/2) 1/3) |
(cbrt.f32 (pow.f32 (fma.f32 x x -1) 3/2)) |
(fabs.f32 (sqrt.f32 (fma.f32 x x -1))) |
(log.f32 (exp.f32 (sqrt.f32 (fma.f32 x x -1)))) |
(sqrt.f32 (fma.f32 x x -1)) |
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (fma.f32 x x -1))))) |
(sqrt.f32 (fma.f32 x x -1)) |
(cbrt.f32 (pow.f32 (fma.f32 x x -1) 3/2)) |
(expm1.f32 (log1p.f32 (sqrt.f32 (fma.f32 x x -1)))) |
(sqrt.f32 (fma.f32 x x -1)) |
(exp.f32 (log.f32 (sqrt.f32 (fma.f32 x x -1)))) |
(sqrt.f32 (fma.f32 x x -1)) |
(exp.f32 (*.f32 (log.f32 (fma.f32 x x -1)) 1/2)) |
(sqrt.f32 (fma.f32 x x -1)) |
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (fma.f32 x x -1))) 1)) |
(sqrt.f32 (fma.f32 x x -1)) |
(log1p.f32 (expm1.f32 (sqrt.f32 (fma.f32 x x -1)))) |
(sqrt.f32 (fma.f32 x x -1)) |
(+.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 0) |
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) |
(+.f32 0 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) |
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) |
(+.f32 (log.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) (log.f32 (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2))) |
(+.f32 (log.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) (*.f32 2 (log.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))) |
(+.f32 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) |
(*.f32 2 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) |
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2)) (log.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) |
(+.f32 (log.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) (*.f32 2 (log.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))) |
(+.f32 (+.f32 0 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) |
(*.f32 2 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) |
(+.f32 (+.f32 0 (log.f32 (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2))) (log.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) |
(+.f32 (log.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) (*.f32 2 (log.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))) |
(+.f32 (*.f32 1 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) (*.f32 1 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))) |
(*.f32 2 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) |
(+.f32 (*.f32 1 (log.f32 (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2))) (*.f32 1 (log.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))) |
(+.f32 (log.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) (*.f32 2 (log.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))) |
(+.f32 (*.f32 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 1) (*.f32 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 1)) |
(*.f32 2 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) |
(+.f32 (*.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2)) 1) (*.f32 (log.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 1)) |
(+.f32 (log.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) (*.f32 2 (log.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))) |
(-.f32 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2))) (log.f32 (fma.f32 x x (-.f32 (fma.f32 x x -1) (*.f32 x (sqrt.f32 (fma.f32 x x -1))))))) |
(-.f32 (log.f32 (-.f32 (*.f32 x x) (fma.f32 x x -1))) (log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))))) |
(-.f32 (exp.f32 (log1p.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) 1) |
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) |
(-.f32 (+.f32 0 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)))) (log.f32 (fma.f32 x x (-.f32 (fma.f32 x x -1) (*.f32 x (sqrt.f32 (fma.f32 x x -1))))))) |
(-.f32 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2))) (log.f32 (fma.f32 x x (-.f32 (fma.f32 x x -1) (*.f32 x (sqrt.f32 (fma.f32 x x -1))))))) |
(-.f32 (+.f32 0 (log.f32 (-.f32 (*.f32 x x) (fma.f32 x x -1)))) (log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))))) |
(-.f32 (log.f32 (-.f32 (*.f32 x x) (fma.f32 x x -1))) (log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))))) |
(-.f32 (+.f32 0 (exp.f32 (log1p.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))) 1) |
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) |
(*.f32 1 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) |
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) |
(*.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 1) |
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) |
(*.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) |
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) |
(*.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2)) |
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) |
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2) (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) |
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) |
(*.f32 2 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) |
(pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 1) |
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) |
(pow.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2) |
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) |
(pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 3) |
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) |
(pow.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 3) 1/3) |
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) |
(sqrt.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2)) |
(cbrt.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 3)) |
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) |
(expm1.f32 (log1p.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) |
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) |
(exp.f32 (log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) |
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) |
(exp.f32 (*.f32 (log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 1)) |
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) |
(log1p.f32 (+.f32 x (-.f32 (sqrt.f32 (fma.f32 x x -1)) 1))) |
(log1p.f32 (+.f32 x (+.f32 (sqrt.f32 (fma.f32 x x -1)) -1))) |
(log1p.f32 (+.f32 (sqrt.f32 (fma.f32 x x -1)) (+.f32 -1 x))) |
(-.f32 (+.f32 x 1) (-.f32 1 (sqrt.f32 (fma.f32 x x -1)))) |
(+.f32 (-.f32 (+.f32 x 1) 1) (sqrt.f32 (fma.f32 x x -1))) |
(+.f32 x (+.f32 0 (sqrt.f32 (fma.f32 x x -1)))) |
(-.f32 (exp.f32 (log1p.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 1) |
(+.f32 x (sqrt.f32 (fma.f32 x x -1))) |
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (fma.f32 x x -1)))) (-.f32 1 x)) |
(+.f32 x (sqrt.f32 (fma.f32 x x -1))) |
(-.f32 (/.f32 (*.f32 x x) (-.f32 x (sqrt.f32 (fma.f32 x x -1)))) (/.f32 (fma.f32 x x -1) (-.f32 x (sqrt.f32 (fma.f32 x x -1))))) |
(/.f32 (-.f32 (*.f32 x x) (fma.f32 x x -1)) (-.f32 x (sqrt.f32 (fma.f32 x x -1)))) |
(-.f32 (+.f32 x (exp.f32 (log1p.f32 (sqrt.f32 (fma.f32 x x -1))))) 1) |
(+.f32 x (sqrt.f32 (fma.f32 x x -1))) |
(-.f32 (+.f32 (sqrt.f32 (fma.f32 x x -1)) (+.f32 x 1)) 1) |
(+.f32 (-.f32 (+.f32 x 1) 1) (sqrt.f32 (fma.f32 x x -1))) |
(+.f32 x (+.f32 0 (sqrt.f32 (fma.f32 x x -1)))) |
(*.f32 1 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) |
(+.f32 x (sqrt.f32 (fma.f32 x x -1))) |
(*.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 1) |
(+.f32 x (sqrt.f32 (fma.f32 x x -1))) |
(*.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) |
(+.f32 x (sqrt.f32 (fma.f32 x x -1))) |
(*.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2)) |
(+.f32 x (sqrt.f32 (fma.f32 x x -1))) |
(*.f32 (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2) (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) |
(+.f32 x (sqrt.f32 (fma.f32 x x -1))) |
(*.f32 (-.f32 (*.f32 x x) (fma.f32 x x -1)) (/.f32 1 (-.f32 x (sqrt.f32 (fma.f32 x x -1))))) |
(*.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)) (/.f32 1 (fma.f32 x x (-.f32 (fma.f32 x x -1) (*.f32 x (sqrt.f32 (fma.f32 x x -1))))))) |
(*.f32 (/.f32 1 (-.f32 x (sqrt.f32 (fma.f32 x x -1)))) (-.f32 (*.f32 x x) (fma.f32 x x -1))) |
(*.f32 (-.f32 (*.f32 x x) (fma.f32 x x -1)) (/.f32 1 (-.f32 x (sqrt.f32 (fma.f32 x x -1))))) |
(*.f32 (/.f32 1 (fma.f32 x x (-.f32 (fma.f32 x x -1) (*.f32 x (sqrt.f32 (fma.f32 x x -1)))))) (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2))) |
(*.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)) (/.f32 1 (fma.f32 x x (-.f32 (fma.f32 x x -1) (*.f32 x (sqrt.f32 (fma.f32 x x -1))))))) |
(*.f32 (/.f32 (-.f32 (*.f32 x x) (fma.f32 x x -1)) (-.f32 (*.f32 x x) (fma.f32 x x -1))) (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) |
(+.f32 x (sqrt.f32 (fma.f32 x x -1))) |
(*.f32 (/.f32 (-.f32 (*.f32 x x) (fma.f32 x x -1)) (-.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2))) (+.f32 (*.f32 x x) (+.f32 (fma.f32 x x -1) (*.f32 x (sqrt.f32 (fma.f32 x x -1)))))) |
(*.f32 (/.f32 (-.f32 (*.f32 x x) (fma.f32 x x -1)) (-.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2))) (fma.f32 x x (+.f32 (fma.f32 x x -1) (*.f32 x (sqrt.f32 (fma.f32 x x -1)))))) |
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(/.f32 (/.f32 (*.f32 (fma.f32 x x -1) (+.f32 x -1)) (cbrt.f32 (+.f32 x -1))) (pow.f32 (cbrt.f32 (+.f32 x -1)) 2)) |
(/.f32 (*.f32 (fma.f32 x x -1) (+.f32 -1 x)) (*.f32 (pow.f32 (cbrt.f32 (+.f32 -1 x)) 2) (cbrt.f32 (+.f32 -1 x)))) |
(/.f32 (fma.f32 x x -1) (/.f32 (*.f32 (cbrt.f32 (+.f32 -1 x)) (pow.f32 (cbrt.f32 (+.f32 -1 x)) 2)) (+.f32 -1 x))) |
(/.f32 (/.f32 (*.f32 (fma.f32 x x -1) (+.f32 x -1)) (pow.f32 (cbrt.f32 (+.f32 x -1)) 2)) (cbrt.f32 (+.f32 x -1))) |
(/.f32 (*.f32 (fma.f32 x x -1) (+.f32 -1 x)) (*.f32 (pow.f32 (cbrt.f32 (+.f32 -1 x)) 2) (cbrt.f32 (+.f32 -1 x)))) |
(/.f32 (fma.f32 x x -1) (/.f32 (*.f32 (cbrt.f32 (+.f32 -1 x)) (pow.f32 (cbrt.f32 (+.f32 -1 x)) 2)) (+.f32 -1 x))) |
(/.f32 (/.f32 (*.f32 (fma.f32 x x -1) (+.f32 x -1)) (+.f32 -1 (pow.f32 x 3))) (/.f32 1 (fma.f32 x x (-.f32 1 (*.f32 x -1))))) |
(*.f32 (/.f32 (/.f32 (fma.f32 x x -1) (/.f32 (+.f32 -1 (pow.f32 x 3)) (+.f32 -1 x))) 1) (fma.f32 x x (-.f32 1 (*.f32 -1 x)))) |
(*.f32 (fma.f32 x x (-.f32 1 (*.f32 -1 x))) (*.f32 (/.f32 (fma.f32 x x -1) (+.f32 -1 (pow.f32 x 3))) (+.f32 -1 x))) |
(/.f32 (/.f32 (*.f32 (fma.f32 x x -1) (+.f32 x -1)) (+.f32 1 (sqrt.f32 x))) (-.f32 (sqrt.f32 x) 1)) |
(/.f32 (*.f32 (fma.f32 x x -1) (+.f32 -1 x)) (*.f32 (+.f32 (sqrt.f32 x) -1) (+.f32 1 (sqrt.f32 x)))) |
(/.f32 (fma.f32 x x -1) (*.f32 (+.f32 -1 (sqrt.f32 x)) (/.f32 (+.f32 1 (sqrt.f32 x)) (+.f32 -1 x)))) |
(/.f32 (/.f32 (*.f32 (+.f32 1 (pow.f32 x 3)) (+.f32 x -1)) 1) (fma.f32 x x (-.f32 1 x))) |
(*.f32 (/.f32 (+.f32 1 (pow.f32 x 3)) (fma.f32 x x (-.f32 1 x))) (+.f32 -1 x)) |
(*.f32 (+.f32 -1 x) (/.f32 (+.f32 1 (pow.f32 x 3)) (fma.f32 x x (-.f32 1 x)))) |
(/.f32 (/.f32 (*.f32 (+.f32 1 (pow.f32 x 3)) (+.f32 x -1)) (sqrt.f32 (fma.f32 x x (-.f32 1 x)))) (sqrt.f32 (fma.f32 x x (-.f32 1 x)))) |
(/.f32 (/.f32 (+.f32 -1 x) (/.f32 (sqrt.f32 (fma.f32 x x (-.f32 1 x))) (+.f32 1 (pow.f32 x 3)))) (sqrt.f32 (fma.f32 x x (-.f32 1 x)))) |
(/.f32 (+.f32 -1 x) (/.f32 (*.f32 (sqrt.f32 (fma.f32 x x (-.f32 1 x))) (sqrt.f32 (fma.f32 x x (-.f32 1 x)))) (+.f32 1 (pow.f32 x 3)))) |
(/.f32 (/.f32 (*.f32 (+.f32 1 (pow.f32 x 3)) (+.f32 x -1)) (*.f32 (cbrt.f32 (fma.f32 x x (-.f32 1 x))) (cbrt.f32 (fma.f32 x x (-.f32 1 x))))) (cbrt.f32 (fma.f32 x x (-.f32 1 x)))) |
(/.f32 (*.f32 (+.f32 -1 x) (+.f32 1 (pow.f32 x 3))) (*.f32 (cbrt.f32 (fma.f32 x x (-.f32 1 x))) (*.f32 (cbrt.f32 (fma.f32 x x (-.f32 1 x))) (cbrt.f32 (fma.f32 x x (-.f32 1 x)))))) |
(/.f32 (+.f32 -1 x) (/.f32 (*.f32 (cbrt.f32 (fma.f32 x x (-.f32 1 x))) (*.f32 (cbrt.f32 (fma.f32 x x (-.f32 1 x))) (cbrt.f32 (fma.f32 x x (-.f32 1 x))))) (+.f32 1 (pow.f32 x 3)))) |
(/.f32 (/.f32 (*.f32 (fma.f32 x x -1) (+.f32 x 1)) 1) (+.f32 x 1)) |
(fma.f32 x x -1) |
(/.f32 (/.f32 (*.f32 (fma.f32 x x -1) (+.f32 x 1)) (sqrt.f32 (+.f32 x 1))) (sqrt.f32 (+.f32 x 1))) |
(/.f32 (/.f32 (fma.f32 x x -1) (/.f32 (sqrt.f32 (+.f32 x 1)) (+.f32 x 1))) (sqrt.f32 (+.f32 x 1))) |
(/.f32 (fma.f32 x x -1) (*.f32 (sqrt.f32 (+.f32 x 1)) (/.f32 (sqrt.f32 (+.f32 x 1)) (+.f32 x 1)))) |
(/.f32 (/.f32 (*.f32 (fma.f32 x x -1) (+.f32 x 1)) (cbrt.f32 (+.f32 x 1))) (pow.f32 (cbrt.f32 (+.f32 x 1)) 2)) |
(/.f32 (*.f32 (fma.f32 x x -1) (+.f32 x 1)) (*.f32 (pow.f32 (cbrt.f32 (+.f32 x 1)) 2) (cbrt.f32 (+.f32 x 1)))) |
(/.f32 (fma.f32 x x -1) (*.f32 (pow.f32 (cbrt.f32 (+.f32 x 1)) 2) (/.f32 (cbrt.f32 (+.f32 x 1)) (+.f32 x 1)))) |
(/.f32 (/.f32 (*.f32 (fma.f32 x x -1) (+.f32 x 1)) (pow.f32 (cbrt.f32 (+.f32 x 1)) 2)) (cbrt.f32 (+.f32 x 1))) |
(/.f32 (*.f32 (fma.f32 x x -1) (+.f32 x 1)) (*.f32 (pow.f32 (cbrt.f32 (+.f32 x 1)) 2) (cbrt.f32 (+.f32 x 1)))) |
(/.f32 (fma.f32 x x -1) (*.f32 (pow.f32 (cbrt.f32 (+.f32 x 1)) 2) (/.f32 (cbrt.f32 (+.f32 x 1)) (+.f32 x 1)))) |
(/.f32 (/.f32 (*.f32 (fma.f32 x x -1) (+.f32 x 1)) (+.f32 1 (pow.f32 x 3))) (/.f32 1 (fma.f32 x x (-.f32 1 x)))) |
(*.f32 (/.f32 (/.f32 (*.f32 (fma.f32 x x -1) (+.f32 x 1)) (+.f32 1 (pow.f32 x 3))) 1) (fma.f32 x x (-.f32 1 x))) |
(*.f32 (fma.f32 x x (-.f32 1 x)) (/.f32 (/.f32 (*.f32 (fma.f32 x x -1) (+.f32 x 1)) (+.f32 1 (pow.f32 x 3))) 1)) |
(/.f32 (/.f32 (*.f32 (+.f32 -1 (pow.f32 x 3)) (+.f32 x 1)) 1) (fma.f32 x x (-.f32 1 (*.f32 x -1)))) |
(/.f32 (*.f32 (+.f32 x 1) (+.f32 -1 (pow.f32 x 3))) (fma.f32 x x (-.f32 1 (*.f32 -1 x)))) |
(/.f32 (/.f32 (*.f32 (+.f32 -1 (pow.f32 x 3)) (+.f32 x 1)) (sqrt.f32 (fma.f32 x x (-.f32 1 (*.f32 x -1))))) (sqrt.f32 (fma.f32 x x (-.f32 1 (*.f32 x -1))))) |
(/.f32 (/.f32 (+.f32 -1 (pow.f32 x 3)) (/.f32 (sqrt.f32 (fma.f32 x x (-.f32 1 (*.f32 -1 x)))) (+.f32 x 1))) (sqrt.f32 (fma.f32 x x (-.f32 1 (*.f32 -1 x))))) |
(/.f32 (/.f32 (*.f32 (+.f32 -1 (pow.f32 x 3)) (+.f32 x 1)) (*.f32 (cbrt.f32 (fma.f32 x x (-.f32 1 (*.f32 x -1)))) (cbrt.f32 (fma.f32 x x (-.f32 1 (*.f32 x -1)))))) (cbrt.f32 (fma.f32 x x (-.f32 1 (*.f32 x -1))))) |
(/.f32 (*.f32 (+.f32 x 1) (+.f32 -1 (pow.f32 x 3))) (*.f32 (cbrt.f32 (fma.f32 x x (-.f32 1 (*.f32 -1 x)))) (*.f32 (cbrt.f32 (fma.f32 x x (-.f32 1 (*.f32 -1 x)))) (cbrt.f32 (fma.f32 x x (-.f32 1 (*.f32 -1 x))))))) |
(/.f32 (+.f32 x 1) (*.f32 (cbrt.f32 (fma.f32 x x (-.f32 1 (*.f32 -1 x)))) (/.f32 (cbrt.f32 (fma.f32 x x (-.f32 1 (*.f32 -1 x)))) (/.f32 (+.f32 -1 (pow.f32 x 3)) (cbrt.f32 (fma.f32 x x (-.f32 1 (*.f32 -1 x)))))))) |
(/.f32 (/.f32 (*.f32 (fma.f32 x x -1) (+.f32 -1 (pow.f32 x 3))) (+.f32 x -1)) (fma.f32 x x (-.f32 1 (*.f32 x -1)))) |
(*.f32 (/.f32 (fma.f32 x x -1) (+.f32 -1 x)) (/.f32 (+.f32 -1 (pow.f32 x 3)) (fma.f32 x x (-.f32 1 (*.f32 -1 x))))) |
(*.f32 (fma.f32 x x -1) (/.f32 (/.f32 (+.f32 -1 (pow.f32 x 3)) (+.f32 -1 x)) (fma.f32 x x (-.f32 1 (*.f32 -1 x))))) |
(/.f32 (/.f32 (*.f32 (+.f32 1 (pow.f32 x 3)) (fma.f32 x x -1)) (fma.f32 x x (-.f32 1 x))) (+.f32 x 1)) |
(*.f32 (/.f32 (fma.f32 x x -1) (+.f32 x 1)) (/.f32 (+.f32 1 (pow.f32 x 3)) (fma.f32 x x (-.f32 1 x)))) |
(/.f32 (/.f32 (+.f32 1 (pow.f32 x 3)) (/.f32 1 (-.f32 x 1))) (fma.f32 x x (-.f32 1 x))) |
(/.f32 (/.f32 (*.f32 (+.f32 1 (pow.f32 x 3)) (+.f32 -1 (pow.f32 x 3))) (fma.f32 x x (-.f32 1 x))) (fma.f32 x x (-.f32 1 (*.f32 x -1)))) |
(*.f32 (/.f32 (+.f32 -1 (pow.f32 x 3)) (fma.f32 x x (-.f32 1 (*.f32 -1 x)))) (/.f32 (+.f32 1 (pow.f32 x 3)) (fma.f32 x x (-.f32 1 x)))) |
(*.f32 (+.f32 -1 (pow.f32 x 3)) (/.f32 (+.f32 1 (pow.f32 x 3)) (*.f32 (fma.f32 x x (-.f32 1 (*.f32 -1 x))) (fma.f32 x x (-.f32 1 x))))) |
(/.f32 (/.f32 (*.f32 (fma.f32 x x -1) (+.f32 1 (pow.f32 x 3))) (+.f32 x 1)) (fma.f32 x x (-.f32 1 x))) |
(*.f32 (/.f32 (fma.f32 x x -1) (+.f32 x 1)) (/.f32 (+.f32 1 (pow.f32 x 3)) (fma.f32 x x (-.f32 1 x)))) |
(/.f32 (/.f32 (+.f32 1 (pow.f32 x 3)) (/.f32 1 (-.f32 x 1))) (fma.f32 x x (-.f32 1 x))) |
(/.f32 (/.f32 (*.f32 (+.f32 -1 (pow.f32 x 3)) (+.f32 1 (pow.f32 x 3))) (fma.f32 x x (-.f32 1 (*.f32 x -1)))) (fma.f32 x x (-.f32 1 x))) |
(*.f32 (/.f32 (+.f32 -1 (pow.f32 x 3)) (fma.f32 x x (-.f32 1 (*.f32 -1 x)))) (/.f32 (+.f32 1 (pow.f32 x 3)) (fma.f32 x x (-.f32 1 x)))) |
(*.f32 (+.f32 -1 (pow.f32 x 3)) (/.f32 (+.f32 1 (pow.f32 x 3)) (*.f32 (fma.f32 x x (-.f32 1 (*.f32 -1 x))) (fma.f32 x x (-.f32 1 x))))) |
(pow.f32 (fma.f32 x x -1) 1) |
(fma.f32 x x -1) |
(pow.f32 (sqrt.f32 (fma.f32 x x -1)) 2) |
(fma.f32 x x -1) |
(pow.f32 (cbrt.f32 (fma.f32 x x -1)) 3) |
(fma.f32 x x -1) |
(pow.f32 (pow.f32 (fma.f32 x x -1) 2) 1/2) |
(sqrt.f32 (pow.f32 (fma.f32 x x -1) 2)) |
(pow.f32 (pow.f32 (fma.f32 x x -1) 3) 1/3) |
(fma.f32 x x -1) |
(sqrt.f32 (pow.f32 (fma.f32 x x -1) 2)) |
(log.f32 (exp.f32 (fma.f32 x x -1))) |
(fma.f32 x x -1) |
(log.f32 (+.f32 1 (expm1.f32 (fma.f32 x x -1)))) |
(fma.f32 x x -1) |
(cbrt.f32 (pow.f32 (fma.f32 x x -1) 3)) |
(fma.f32 x x -1) |
(cbrt.f32 (*.f32 (pow.f32 (+.f32 x 1) 3) (pow.f32 (+.f32 x -1) 3))) |
(cbrt.f32 (*.f32 (pow.f32 (+.f32 x 1) 3) (pow.f32 (+.f32 -1 x) 3))) |
(cbrt.f32 (*.f32 (pow.f32 (+.f32 x -1) 3) (pow.f32 (+.f32 x 1) 3))) |
(cbrt.f32 (*.f32 (pow.f32 (+.f32 x 1) 3) (pow.f32 (+.f32 -1 x) 3))) |
(expm1.f32 (log1p.f32 (fma.f32 x x -1))) |
(fma.f32 x x -1) |
(exp.f32 (log.f32 (fma.f32 x x -1))) |
(fma.f32 x x -1) |
(exp.f32 (*.f32 (log.f32 (fma.f32 x x -1)) 1)) |
(fma.f32 x x -1) |
(log1p.f32 (expm1.f32 (fma.f32 x x -1))) |
(fma.f32 x x -1) |
(fma.f32 x x -1) |
(fma.f32 x (+.f32 x 1) (neg.f32 (+.f32 x 1))) |
(fma.f32 x x (-.f32 x (+.f32 x 1))) |
(+.f32 x (-.f32 (fma.f32 x x -1) x)) |
(fma.f32 (+.f32 x 1) x (neg.f32 (+.f32 x 1))) |
(fma.f32 x x (-.f32 x (+.f32 x 1))) |
(+.f32 x (-.f32 (fma.f32 x x -1) x)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.15% | (+.f32 x (sqrt.f32 (expm1.f32 (*.f32 (log.f32 x) 2)))) |
| ✓ | 0.39% | (log.f32 (+.f32 x (sqrt.f32 (expm1.f32 (*.f32 (log.f32 x) 2))))) |
| ✓ | 4.7% | (expm1.f32 (*.f32 (log.f32 x) 2)) |
| ✓ | 44.95% | (sqrt.f32 (expm1.f32 (*.f32 (log.f32 x) 2))) |
Compiled 37 to 23 computations (37.8% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 24.0ms | x | @ | -inf | (sqrt.f32 (expm1.f32 (*.f32 (log.f32 x) 2))) |
| 11.0ms | x | @ | 0 | (sqrt.f32 (expm1.f32 (*.f32 (log.f32 x) 2))) |
| 6.0ms | x | @ | inf | (sqrt.f32 (expm1.f32 (*.f32 (log.f32 x) 2))) |
| 1.0ms | x | @ | 0 | (log.f32 (+.f32 x (sqrt.f32 (expm1.f32 (*.f32 (log.f32 x) 2))))) |
| 1.0ms | x | @ | -inf | (log.f32 (+.f32 x (sqrt.f32 (expm1.f32 (*.f32 (log.f32 x) 2))))) |
| 1× | batch-egg-rewrite |
| 902× | *-commutative |
| 732× | unswap-sqr |
| 530× | swap-sqr |
| 526× | distribute-lft-in |
| 518× | distribute-rgt-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 88 |
| 1 | 217 | 80 |
| 2 | 2710 | 80 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f32 (expm1.f32 (*.f32 (log.f32 x) 2))) |
(expm1.f32 (*.f32 (log.f32 x) 2)) |
(log.f32 (+.f32 x (sqrt.f32 (expm1.f32 (*.f32 (log.f32 x) 2))))) |
(+.f32 x (sqrt.f32 (expm1.f32 (*.f32 (log.f32 x) 2)))) |
| Outputs |
|---|
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x) -1)))) 2)) (cbrt.f32 (+.f32 (+.f32 (*.f32 x x) -1) (*.f32 x (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 (pow.f32 x 4) (pow.f32 (+.f32 (*.f32 x x) -1) 2)) (/.f32 1 (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))) (+.f32 (+.f32 (*.f32 x x) (*.f32 x x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 (pow.f32 (*.f32 x x) 3) (pow.f32 (+.f32 (*.f32 x x) -1) 3)) (/.f32 1 (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))) (+.f32 (pow.f32 x 4) (*.f32 (+.f32 (*.f32 x x) -1) (+.f32 (+.f32 (*.f32 x x) (*.f32 x x)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 (pow.f32 x 6) (pow.f32 (+.f32 (*.f32 x x) -1) 3)) (/.f32 1 (+.f32 (+.f32 (*.f32 x x) -1) (*.f32 x (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))))) (-.f32 (pow.f32 x 3) (pow.f32 (+.f32 (*.f32 x x) -1) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 (pow.f32 (pow.f32 x 3) 3) (pow.f32 (pow.f32 (+.f32 (*.f32 x x) -1) 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(pow.f32 (+.f32 (*.f32 x x) -1) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (*.f32 x x) -1) 3/2)) 1) (+.f32 (+.f32 (*.f32 x x) -1) (*.f32 x (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (*.f32 x x) -1) 3/2)) (sqrt.f32 (+.f32 (+.f32 (*.f32 x x) -1) (*.f32 x (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))))) (sqrt.f32 (+.f32 (+.f32 (*.f32 x x) -1) (*.f32 x (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (*.f32 x x) -1) 3/2)) (*.f32 (cbrt.f32 (+.f32 (+.f32 (*.f32 x x) -1) (*.f32 x (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1)))))) (cbrt.f32 (+.f32 (+.f32 (*.f32 x x) -1) (*.f32 x (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1)))))))) (cbrt.f32 (+.f32 (+.f32 (*.f32 x x) -1) (*.f32 x (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 1) (log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1)))))) (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))) 2)) (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (+.f32 1 (*.f32 (*.f32 x x) 0)) (neg.f32 (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (*.f32 x x) -1) 3/2)) (neg.f32 (+.f32 (+.f32 (*.f32 x x) -1) (*.f32 x (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 x (sqrt.f32 (+.f32 (*.f32 x x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (sqrt.f32 (+.f32 (*.f32 x x) -1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (+.f32 (*.f32 x x) -1) 1/4) (pow.f32 (+.f32 (*.f32 x x) -1) 1/4) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 x) (sqrt.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (+.f32 (*.f32 x x) -1)) (cbrt.f32 (sqrt.f32 (+.f32 (*.f32 x x) -1))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (*.f32 x x)) (cbrt.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) -1))))))) |
| 1× | egg-herbie |
| 652× | associate-*r* |
| 610× | associate-*l* |
| 462× | fma-def |
| 362× | *-commutative |
| 316× | distribute-lft-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 524 | 3263 |
| 1 | 1415 | 3263 |
| 2 | 7781 | 3263 |
| 1× | unsound |
| Inputs |
|---|
(sqrt.f32 (-.f32 (pow.f32 x 2) 1)) |
(sqrt.f32 (-.f32 (pow.f32 x 2) 1)) |
(sqrt.f32 (-.f32 (pow.f32 x 2) 1)) |
(sqrt.f32 (-.f32 (pow.f32 x 2) 1)) |
(sqrt.f32 (-.f32 (pow.f32 (/.f32 1 x) -2) 1)) |
(sqrt.f32 (-.f32 (pow.f32 (/.f32 1 x) -2) 1)) |
(sqrt.f32 (-.f32 (pow.f32 (/.f32 1 x) -2) 1)) |
(sqrt.f32 (-.f32 (pow.f32 (/.f32 1 x) -2) 1)) |
(sqrt.f32 (-.f32 (exp.f32 (*.f32 2 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -1)))) 1)) |
(sqrt.f32 (-.f32 (exp.f32 (*.f32 2 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -1)))) 1)) |
(sqrt.f32 (-.f32 (exp.f32 (*.f32 2 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -1)))) 1)) |
(sqrt.f32 (-.f32 (exp.f32 (*.f32 2 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -1)))) 1)) |
(-.f32 (pow.f32 x 2) 1) |
(-.f32 (pow.f32 x 2) 1) |
(-.f32 (pow.f32 x 2) 1) |
(-.f32 (pow.f32 x 2) 1) |
(-.f32 (pow.f32 (/.f32 1 x) -2) 1) |
(-.f32 (pow.f32 (/.f32 1 x) -2) 1) |
(-.f32 (pow.f32 (/.f32 1 x) -2) 1) |
(-.f32 (pow.f32 (/.f32 1 x) -2) 1) |
(-.f32 (exp.f32 (*.f32 2 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -1)))) 1) |
(-.f32 (exp.f32 (*.f32 2 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -1)))) 1) |
(-.f32 (exp.f32 (*.f32 2 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -1)))) 1) |
(-.f32 (exp.f32 (*.f32 2 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -1)))) 1) |
(log.f32 (sqrt.f32 (-.f32 (pow.f32 x 2) 1))) |
(+.f32 (log.f32 (sqrt.f32 (-.f32 (pow.f32 x 2) 1))) (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (pow.f32 x 2) 1))) x)) |
(+.f32 (log.f32 (sqrt.f32 (-.f32 (pow.f32 x 2) 1))) (+.f32 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (pow.f32 x 2) 1))) x) (*.f32 -1/2 (/.f32 (pow.f32 x 2) (-.f32 (pow.f32 x 2) 1))))) |
(+.f32 (log.f32 (sqrt.f32 (-.f32 (pow.f32 x 2) 1))) (+.f32 (*.f32 1/3 (*.f32 (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (pow.f32 x 2) 1) 3))) (pow.f32 x 3))) (+.f32 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (pow.f32 x 2) 1))) x) (*.f32 -1/2 (/.f32 (pow.f32 x 2) (-.f32 (pow.f32 x 2) 1)))))) |
(*.f32 -1 (log.f32 (/.f32 1 x))) |
(+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (*.f32 (sqrt.f32 (-.f32 (pow.f32 (/.f32 1 x) -2) 1)) (/.f32 1 x))) |
(+.f32 (*.f32 -1/2 (/.f32 (-.f32 (pow.f32 (/.f32 1 x) -2) 1) (pow.f32 x 2))) (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (*.f32 (sqrt.f32 (-.f32 (pow.f32 (/.f32 1 x) -2) 1)) (/.f32 1 x)))) |
(+.f32 (*.f32 -1/2 (/.f32 (-.f32 (pow.f32 (/.f32 1 x) -2) 1) (pow.f32 x 2))) (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (*.f32 (sqrt.f32 (-.f32 (pow.f32 (/.f32 1 x) -2) 1)) (/.f32 1 x)) (*.f32 1/3 (*.f32 (/.f32 1 (pow.f32 x 3)) (sqrt.f32 (pow.f32 (-.f32 (pow.f32 (/.f32 1 x) -2) 1) 3))))))) |
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -1)) |
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 -1) (*.f32 (sqrt.f32 (-.f32 (exp.f32 (*.f32 2 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -1)))) 1)) (/.f32 1 x)))) |
(+.f32 (*.f32 -1/2 (/.f32 (-.f32 (exp.f32 (*.f32 2 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -1)))) 1) (pow.f32 x 2))) (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 -1) (*.f32 (sqrt.f32 (-.f32 (exp.f32 (*.f32 2 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -1)))) 1)) (/.f32 1 x))))) |
(+.f32 (*.f32 -1/2 (/.f32 (-.f32 (exp.f32 (*.f32 2 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -1)))) 1) (pow.f32 x 2))) (+.f32 (*.f32 1/3 (*.f32 (/.f32 1 (pow.f32 x 3)) (sqrt.f32 (pow.f32 (-.f32 (exp.f32 (*.f32 2 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -1)))) 1) 3)))) (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 -1) (*.f32 (sqrt.f32 (-.f32 (exp.f32 (*.f32 2 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -1)))) 1)) (/.f32 1 x)))))) |
(sqrt.f32 (-.f32 (pow.f32 x 2) 1)) |
(+.f32 x (sqrt.f32 (-.f32 (pow.f32 x 2) 1))) |
(+.f32 x (sqrt.f32 (-.f32 (pow.f32 x 2) 1))) |
(+.f32 x (sqrt.f32 (-.f32 (pow.f32 x 2) 1))) |
x |
(+.f32 (sqrt.f32 (-.f32 (pow.f32 (/.f32 1 x) -2) 1)) x) |
(+.f32 (sqrt.f32 (-.f32 (pow.f32 (/.f32 1 x) -2) 1)) x) |
(+.f32 (sqrt.f32 (-.f32 (pow.f32 (/.f32 1 x) -2) 1)) x) |
x |
(+.f32 (sqrt.f32 (-.f32 (exp.f32 (*.f32 2 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -1)))) 1)) x) |
(+.f32 (sqrt.f32 (-.f32 (exp.f32 (*.f32 2 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -1)))) 1)) x) |
(+.f32 (sqrt.f32 (-.f32 (exp.f32 (*.f32 2 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -1)))) 1)) x) |
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (+.f32 (*.f32 x x) -1)))) 1) |
(*.f32 (sqrt.f32 (+.f32 (*.f32 x x) -1)) 1) |
(*.f32 (sqrt.f32 (+.f32 (*.f32 x x) -1)) (pow.f32 1 1/2)) |
(*.f32 1 (sqrt.f32 (+.f32 (*.f32 x x) -1))) |
(*.f32 (pow.f32 (+.f32 (*.f32 x x) -1) 1/4) (pow.f32 (+.f32 (*.f32 x x) -1) 1/4)) |
(*.f32 (cbrt.f32 (+.f32 (*.f32 x x) -1)) (cbrt.f32 (sqrt.f32 (+.f32 (*.f32 x x) -1)))) |
(*.f32 (cbrt.f32 (sqrt.f32 (+.f32 (*.f32 x x) -1))) (cbrt.f32 (+.f32 (*.f32 x x) -1))) |
(*.f32 (sqrt.f32 (cbrt.f32 (+.f32 (*.f32 x x) -1))) (sqrt.f32 (pow.f32 (cbrt.f32 (+.f32 (*.f32 x x) -1)) 2))) |
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (+.f32 (*.f32 x x) -1)) 2)) (sqrt.f32 (cbrt.f32 (+.f32 (*.f32 x x) -1)))) |
(*.f32 (pow.f32 1 1/2) (sqrt.f32 (+.f32 (*.f32 x x) -1))) |
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (+.f32 (*.f32 x x) -1)) 2) 1/2) (pow.f32 (cbrt.f32 (+.f32 (*.f32 x x) -1)) 1/2)) |
(*.f32 (pow.f32 (cbrt.f32 (+.f32 (*.f32 x x) -1)) 1/2) (pow.f32 (pow.f32 (cbrt.f32 (+.f32 (*.f32 x x) -1)) 2) 1/2)) |
(*.f32 (*.f32 (cbrt.f32 (sqrt.f32 (+.f32 (*.f32 x x) -1))) (sqrt.f32 (cbrt.f32 (sqrt.f32 (+.f32 (*.f32 x x) -1))))) (*.f32 (cbrt.f32 (sqrt.f32 (+.f32 (*.f32 x x) -1))) (sqrt.f32 (cbrt.f32 (sqrt.f32 (+.f32 (*.f32 x x) -1)))))) |
(*.f32 (*.f32 (sqrt.f32 (cbrt.f32 (+.f32 (*.f32 x x) -1))) (cbrt.f32 (pow.f32 (+.f32 (*.f32 x x) -1) 1/4))) (*.f32 (sqrt.f32 (cbrt.f32 (+.f32 (*.f32 x x) -1))) (cbrt.f32 (pow.f32 (+.f32 (*.f32 x x) -1) 1/4)))) |
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(pow.f32 (pow.f32 (+.f32 (*.f32 x x) -1) 1/4) 2) |
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(+.f32 (*.f32 1 (log.f32 (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1)))) 2))) (*.f32 1 (log.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))))) |
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(-.f32 (log.f32 (+.f32 1 (*.f32 (*.f32 x x) 0))) (log.f32 (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))) |
(-.f32 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (*.f32 x x) -1) 3/2))) (log.f32 (+.f32 (+.f32 (*.f32 x x) -1) (*.f32 x (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))))) |
(-.f32 (exp.f32 (log1p.f32 (log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1)))))) 1) |
(-.f32 (+.f32 0 (log.f32 (+.f32 1 (*.f32 (*.f32 x x) 0)))) (log.f32 (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))) |
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(-.f32 (+.f32 0 (exp.f32 (log1p.f32 (log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))))) 1) |
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(exp.f32 (log.f32 (log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1)))))) |
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(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (+.f32 (*.f32 x x) -1)))) (-.f32 1 x)) |
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(-.f32 (+.f32 x (exp.f32 (log1p.f32 (sqrt.f32 (+.f32 (*.f32 x x) -1))))) 1) |
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(*.f32 (/.f32 (+.f32 1 (*.f32 (*.f32 x x) 0)) (-.f32 (pow.f32 x 3) (pow.f32 (+.f32 (*.f32 x x) -1) 3/2))) (+.f32 (*.f32 x x) (+.f32 (+.f32 (*.f32 x x) -1) (*.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1)))))) |
(*.f32 (/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (*.f32 x x) -1) 3/2)) (-.f32 (pow.f32 x 4) (pow.f32 (-.f32 (+.f32 (*.f32 x x) -1) (*.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1)))) 2))) (+.f32 (+.f32 1 (*.f32 (*.f32 x x) 0)) (*.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))) |
(*.f32 (/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (*.f32 x x) -1) 3/2)) (+.f32 (pow.f32 (*.f32 x x) 3) (pow.f32 (-.f32 (+.f32 (*.f32 x x) -1) (*.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1)))) 3))) (+.f32 (pow.f32 x 4) (*.f32 (-.f32 (+.f32 (*.f32 x x) -1) (*.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1)))) (-.f32 (-.f32 (+.f32 (*.f32 x x) -1) (*.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1)))) (*.f32 x x))))) |
(*.f32 (*.f32 (sqrt.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))) (cbrt.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))) (*.f32 (sqrt.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))) (cbrt.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1)))))) |
(*.f32 (*.f32 (cbrt.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))) (sqrt.f32 (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1)))) 2))) (*.f32 (cbrt.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))) (sqrt.f32 (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1)))) 2)))) |
(*.f32 (*.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1)))) (sqrt.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1)))))) (*.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1)))) (sqrt.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))))) |
(*.f32 (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1)))) 2)) (cbrt.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1)))))) (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1)))) 2)) (cbrt.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))))) |
(*.f32 (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1)))) 3/2) (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1)))) 3/2)) |
(*.f32 (pow.f32 (pow.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))) 3) 1/6) (pow.f32 (pow.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))) 3) 1/6)) |
(*.f32 (pow.f32 (exp.f32 1) (/.f32 (log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1)))) 2)) (pow.f32 (exp.f32 1) (/.f32 (log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1)))) 2))) |
(*.f32 (pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1)))))) (/.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))) 2)) (pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1)))))) (/.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))) 2))) |
(*.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))) 2)) (/.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))) 2)) (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))) 2)) (/.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))) 2))) |
(/.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))) (/.f32 (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))) (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))) |
(/.f32 1 (/.f32 1 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))) |
(/.f32 (+.f32 1 (*.f32 (*.f32 x x) 0)) (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1)))) |
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (*.f32 x x) -1) 3/2)) (+.f32 (+.f32 (*.f32 x x) -1) (*.f32 x (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1)))))) |
(/.f32 (+.f32 (+.f32 (*.f32 x x) -1) (*.f32 x (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))) (/.f32 (+.f32 (+.f32 (*.f32 x x) -1) (*.f32 x (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))) (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))) |
(/.f32 (sqrt.f32 (+.f32 1 (*.f32 (*.f32 x x) 0))) (/.f32 (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))) (sqrt.f32 (+.f32 1 (*.f32 (*.f32 x x) 0))))) |
(/.f32 (sqrt.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (*.f32 x x) -1) 3/2))) (/.f32 (+.f32 (+.f32 (*.f32 x x) -1) (*.f32 x (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))) (sqrt.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (*.f32 x x) -1) 3/2))))) |
(/.f32 (*.f32 (cbrt.f32 (+.f32 1 (*.f32 (*.f32 x x) 0))) (cbrt.f32 (+.f32 1 (*.f32 (*.f32 x x) 0)))) (/.f32 (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))) (cbrt.f32 (+.f32 1 (*.f32 (*.f32 x x) 0))))) |
(/.f32 (*.f32 (cbrt.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (*.f32 x x) -1) 3/2))) (cbrt.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (*.f32 x x) -1) 3/2)))) (/.f32 (+.f32 (+.f32 (*.f32 x x) -1) (*.f32 x (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))) (cbrt.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (*.f32 x x) -1) 3/2))))) |
(/.f32 (+.f32 (*.f32 x x) (-.f32 -1 (*.f32 x x))) (-.f32 (sqrt.f32 (+.f32 (*.f32 x x) -1)) x)) |
(/.f32 (-.f32 (pow.f32 x 6) (pow.f32 (+.f32 (*.f32 x x) -1) 3)) (*.f32 (+.f32 (+.f32 (*.f32 x x) -1) (*.f32 x (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))) (-.f32 (pow.f32 x 3) (pow.f32 (+.f32 (*.f32 x x) -1) 3/2)))) |
(/.f32 (-.f32 (pow.f32 x 4) (pow.f32 (+.f32 (*.f32 x x) -1) 2)) (*.f32 (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))) (+.f32 (+.f32 (*.f32 x x) (*.f32 x x)) -1))) |
(/.f32 (+.f32 (pow.f32 (pow.f32 x 3) 3) (pow.f32 (pow.f32 (+.f32 (*.f32 x x) -1) 3/2) 3)) (*.f32 (+.f32 (+.f32 (*.f32 x x) -1) (*.f32 x (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))) (+.f32 (pow.f32 x 6) (-.f32 (pow.f32 (+.f32 (*.f32 x x) -1) 3) (*.f32 (pow.f32 x 3) (pow.f32 (+.f32 (*.f32 x x) -1) 3/2)))))) |
(/.f32 (-.f32 (pow.f32 (*.f32 x x) 3) (pow.f32 (+.f32 (*.f32 x x) -1) 3)) (*.f32 (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))) (+.f32 (pow.f32 x 4) (*.f32 (+.f32 (*.f32 x x) -1) (+.f32 (+.f32 (*.f32 x x) (*.f32 x x)) -1))))) |
(/.f32 (+.f32 (neg.f32 (*.f32 (*.f32 x x) 0)) -1) (neg.f32 (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))) |
(/.f32 (neg.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (*.f32 x x) -1) 3/2))) (neg.f32 (+.f32 (+.f32 (*.f32 x x) -1) (*.f32 x (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))))) |
(/.f32 (*.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1)))) (sqrt.f32 (+.f32 1 (*.f32 (*.f32 x x) 0)))) (sqrt.f32 (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))) |
(/.f32 (*.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1)))) (sqrt.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (*.f32 x x) -1) 3/2)))) (sqrt.f32 (+.f32 (+.f32 (*.f32 x x) -1) (*.f32 x (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))))) |
(/.f32 (*.f32 (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1)))) 2) (cbrt.f32 (+.f32 1 (*.f32 (*.f32 x x) 0)))) (cbrt.f32 (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))) |
(/.f32 (*.f32 (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1)))) 2) (cbrt.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (*.f32 x x) -1) 3/2)))) (cbrt.f32 (+.f32 (+.f32 (*.f32 x x) -1) (*.f32 x (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))))) |
(/.f32 (*.f32 (+.f32 (*.f32 x x) (-.f32 -1 (*.f32 x x))) 1) (-.f32 (sqrt.f32 (+.f32 (*.f32 x x) -1)) x)) |
(/.f32 (*.f32 (+.f32 (neg.f32 (*.f32 (*.f32 x x) 0)) -1) 1) (neg.f32 (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))) |
(/.f32 (*.f32 (neg.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (*.f32 x x) -1) 3/2))) 1) (neg.f32 (+.f32 (+.f32 (*.f32 x x) -1) (*.f32 x (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))))) |
(/.f32 (*.f32 (sqrt.f32 (+.f32 1 (*.f32 (*.f32 x x) 0))) (sqrt.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))) (sqrt.f32 (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))) |
(/.f32 (*.f32 (sqrt.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (*.f32 x x) -1) 3/2))) (sqrt.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))) (sqrt.f32 (+.f32 (+.f32 (*.f32 x x) -1) (*.f32 x (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))))) |
(/.f32 (*.f32 (cbrt.f32 (+.f32 1 (*.f32 (*.f32 x x) 0))) (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1)))) 2)) (cbrt.f32 (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))) |
(/.f32 (*.f32 (cbrt.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (*.f32 x x) -1) 3/2))) (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1)))) 2)) (cbrt.f32 (+.f32 (+.f32 (*.f32 x x) -1) (*.f32 x (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))))) |
(/.f32 (*.f32 (-.f32 (pow.f32 x 4) (pow.f32 (+.f32 (*.f32 x x) -1) 2)) (/.f32 1 (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))) (+.f32 (+.f32 (*.f32 x x) (*.f32 x x)) -1)) |
(/.f32 (*.f32 (-.f32 (pow.f32 (*.f32 x x) 3) (pow.f32 (+.f32 (*.f32 x x) -1) 3)) (/.f32 1 (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))) (+.f32 (pow.f32 x 4) (*.f32 (+.f32 (*.f32 x x) -1) (+.f32 (+.f32 (*.f32 x x) (*.f32 x x)) -1)))) |
(/.f32 (*.f32 (-.f32 (pow.f32 x 6) (pow.f32 (+.f32 (*.f32 x x) -1) 3)) (/.f32 1 (+.f32 (+.f32 (*.f32 x x) -1) (*.f32 x (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))))) (-.f32 (pow.f32 x 3) (pow.f32 (+.f32 (*.f32 x x) -1) 3/2))) |
(/.f32 (*.f32 (+.f32 (pow.f32 (pow.f32 x 3) 3) (pow.f32 (pow.f32 (+.f32 (*.f32 x x) -1) 3/2) 3)) (/.f32 1 (+.f32 (+.f32 (*.f32 x x) -1) (*.f32 x (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))))) (+.f32 (pow.f32 x 6) (-.f32 (pow.f32 (+.f32 (*.f32 x x) -1) 3) (*.f32 (pow.f32 x 3) (pow.f32 (+.f32 (*.f32 x x) -1) 3/2))))) |
(/.f32 (/.f32 (+.f32 1 (*.f32 (*.f32 x x) 0)) 1) (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1)))) |
(/.f32 (/.f32 (+.f32 1 (*.f32 (*.f32 x x) 0)) (sqrt.f32 (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))) (sqrt.f32 (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))) |
(/.f32 (/.f32 (+.f32 1 (*.f32 (*.f32 x x) 0)) (*.f32 (cbrt.f32 (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1)))) (cbrt.f32 (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1)))))) (cbrt.f32 (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))) |
(/.f32 (/.f32 (+.f32 1 (*.f32 (*.f32 x x) 0)) (+.f32 (pow.f32 (+.f32 (*.f32 x x) -1) 1/4) (sqrt.f32 x))) (-.f32 (sqrt.f32 x) (pow.f32 (+.f32 (*.f32 x x) -1) 1/4))) |
(/.f32 (/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (*.f32 x x) -1) 3/2)) 1) (+.f32 (+.f32 (*.f32 x x) -1) (*.f32 x (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1)))))) |
(/.f32 (/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (*.f32 x x) -1) 3/2)) (sqrt.f32 (+.f32 (+.f32 (*.f32 x x) -1) (*.f32 x (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))))) (sqrt.f32 (+.f32 (+.f32 (*.f32 x x) -1) (*.f32 x (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))))) |
(/.f32 (/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (*.f32 x x) -1) 3/2)) (*.f32 (cbrt.f32 (+.f32 (+.f32 (*.f32 x x) -1) (*.f32 x (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1)))))) (cbrt.f32 (+.f32 (+.f32 (*.f32 x x) -1) (*.f32 x (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1)))))))) (cbrt.f32 (+.f32 (+.f32 (*.f32 x x) -1) (*.f32 x (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))))) |
(pow.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))) 1) |
(pow.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1)))) 2) |
(pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1)))) 3) |
(pow.f32 (pow.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))) 3) 1/3) |
(pow.f32 (exp.f32 1) (log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))) |
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1)))))) (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1)))))) |
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))) 2)) (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1)))))) |
(neg.f32 (/.f32 (+.f32 1 (*.f32 (*.f32 x x) 0)) (neg.f32 (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1)))))) |
(neg.f32 (/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (*.f32 x x) -1) 3/2)) (neg.f32 (+.f32 (+.f32 (*.f32 x x) -1) (*.f32 x (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1)))))))) |
(sqrt.f32 (pow.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))) 2)) |
(log.f32 (exp.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))) |
(log.f32 (+.f32 1 (expm1.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1)))))) |
(cbrt.f32 (pow.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))) 3)) |
(expm1.f32 (log1p.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))) |
(exp.f32 (log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))) |
(log1p.f32 (expm1.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))) |
(fma.f32 1 x (sqrt.f32 (+.f32 (*.f32 x x) -1))) |
(fma.f32 1 (sqrt.f32 (+.f32 (*.f32 x x) -1)) x) |
(fma.f32 (pow.f32 (+.f32 (*.f32 x x) -1) 1/4) (pow.f32 (+.f32 (*.f32 x x) -1) 1/4) x) |
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) -1))) |
(fma.f32 (cbrt.f32 (+.f32 (*.f32 x x) -1)) (cbrt.f32 (sqrt.f32 (+.f32 (*.f32 x x) -1))) x) |
(fma.f32 (cbrt.f32 (*.f32 x x)) (cbrt.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) -1))) |
| Outputs |
|---|
(sqrt.f32 (-.f32 (pow.f32 x 2) 1)) |
(sqrt.f32 (fma.f32 x x -1)) |
(sqrt.f32 (-.f32 (pow.f32 x 2) 1)) |
(sqrt.f32 (fma.f32 x x -1)) |
(sqrt.f32 (-.f32 (pow.f32 x 2) 1)) |
(sqrt.f32 (fma.f32 x x -1)) |
(sqrt.f32 (-.f32 (pow.f32 x 2) 1)) |
(sqrt.f32 (fma.f32 x x -1)) |
(sqrt.f32 (-.f32 (pow.f32 (/.f32 1 x) -2) 1)) |
(sqrt.f32 (fma.f32 x x -1)) |
(sqrt.f32 (-.f32 (pow.f32 (/.f32 1 x) -2) 1)) |
(sqrt.f32 (fma.f32 x x -1)) |
(sqrt.f32 (-.f32 (pow.f32 (/.f32 1 x) -2) 1)) |
(sqrt.f32 (fma.f32 x x -1)) |
(sqrt.f32 (-.f32 (pow.f32 (/.f32 1 x) -2) 1)) |
(sqrt.f32 (fma.f32 x x -1)) |
(sqrt.f32 (-.f32 (exp.f32 (*.f32 2 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -1)))) 1)) |
(sqrt.f32 (fma.f32 x x -1)) |
(sqrt.f32 (-.f32 (exp.f32 (*.f32 2 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -1)))) 1)) |
(sqrt.f32 (fma.f32 x x -1)) |
(sqrt.f32 (-.f32 (exp.f32 (*.f32 2 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -1)))) 1)) |
(sqrt.f32 (fma.f32 x x -1)) |
(sqrt.f32 (-.f32 (exp.f32 (*.f32 2 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -1)))) 1)) |
(sqrt.f32 (fma.f32 x x -1)) |
(-.f32 (pow.f32 x 2) 1) |
(sqrt.f32 (fma.f32 x x -1)) |
(-.f32 (pow.f32 x 2) 1) |
(sqrt.f32 (fma.f32 x x -1)) |
(-.f32 (pow.f32 x 2) 1) |
(sqrt.f32 (fma.f32 x x -1)) |
(-.f32 (pow.f32 x 2) 1) |
(sqrt.f32 (fma.f32 x x -1)) |
(-.f32 (pow.f32 (/.f32 1 x) -2) 1) |
(sqrt.f32 (fma.f32 x x -1)) |
(-.f32 (pow.f32 (/.f32 1 x) -2) 1) |
(sqrt.f32 (fma.f32 x x -1)) |
(-.f32 (pow.f32 (/.f32 1 x) -2) 1) |
(sqrt.f32 (fma.f32 x x -1)) |
(-.f32 (pow.f32 (/.f32 1 x) -2) 1) |
(sqrt.f32 (fma.f32 x x -1)) |
(-.f32 (exp.f32 (*.f32 2 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -1)))) 1) |
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(/.f32 (sqrt.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (*.f32 x x) -1) 3/2))) (/.f32 (+.f32 (+.f32 (*.f32 x x) -1) (*.f32 x (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))) (sqrt.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (*.f32 x x) -1) 3/2))))) |
(sqrt.f32 (fma.f32 x x -1)) |
(/.f32 (*.f32 (cbrt.f32 (+.f32 1 (*.f32 (*.f32 x x) 0))) (cbrt.f32 (+.f32 1 (*.f32 (*.f32 x x) 0)))) (/.f32 (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))) (cbrt.f32 (+.f32 1 (*.f32 (*.f32 x x) 0))))) |
(sqrt.f32 (fma.f32 x x -1)) |
(/.f32 (*.f32 (cbrt.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (*.f32 x x) -1) 3/2))) (cbrt.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (*.f32 x x) -1) 3/2)))) (/.f32 (+.f32 (+.f32 (*.f32 x x) -1) (*.f32 x (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))) (cbrt.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (*.f32 x x) -1) 3/2))))) |
(sqrt.f32 (fma.f32 x x -1)) |
(/.f32 (+.f32 (*.f32 x x) (-.f32 -1 (*.f32 x x))) (-.f32 (sqrt.f32 (+.f32 (*.f32 x x) -1)) x)) |
(sqrt.f32 (fma.f32 x x -1)) |
(/.f32 (-.f32 (pow.f32 x 6) (pow.f32 (+.f32 (*.f32 x x) -1) 3)) (*.f32 (+.f32 (+.f32 (*.f32 x x) -1) (*.f32 x (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))) (-.f32 (pow.f32 x 3) (pow.f32 (+.f32 (*.f32 x x) -1) 3/2)))) |
(sqrt.f32 (fma.f32 x x -1)) |
(/.f32 (-.f32 (pow.f32 x 4) (pow.f32 (+.f32 (*.f32 x x) -1) 2)) (*.f32 (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))) (+.f32 (+.f32 (*.f32 x x) (*.f32 x x)) -1))) |
(sqrt.f32 (fma.f32 x x -1)) |
(/.f32 (+.f32 (pow.f32 (pow.f32 x 3) 3) (pow.f32 (pow.f32 (+.f32 (*.f32 x x) -1) 3/2) 3)) (*.f32 (+.f32 (+.f32 (*.f32 x x) -1) (*.f32 x (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))) (+.f32 (pow.f32 x 6) (-.f32 (pow.f32 (+.f32 (*.f32 x x) -1) 3) (*.f32 (pow.f32 x 3) (pow.f32 (+.f32 (*.f32 x x) -1) 3/2)))))) |
(sqrt.f32 (fma.f32 x x -1)) |
(/.f32 (-.f32 (pow.f32 (*.f32 x x) 3) (pow.f32 (+.f32 (*.f32 x x) -1) 3)) (*.f32 (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))) (+.f32 (pow.f32 x 4) (*.f32 (+.f32 (*.f32 x x) -1) (+.f32 (+.f32 (*.f32 x x) (*.f32 x x)) -1))))) |
(sqrt.f32 (fma.f32 x x -1)) |
(/.f32 (+.f32 (neg.f32 (*.f32 (*.f32 x x) 0)) -1) (neg.f32 (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))) |
(sqrt.f32 (fma.f32 x x -1)) |
(/.f32 (neg.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (*.f32 x x) -1) 3/2))) (neg.f32 (+.f32 (+.f32 (*.f32 x x) -1) (*.f32 x (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))))) |
(sqrt.f32 (fma.f32 x x -1)) |
(/.f32 (*.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1)))) (sqrt.f32 (+.f32 1 (*.f32 (*.f32 x x) 0)))) (sqrt.f32 (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))) |
(sqrt.f32 (fma.f32 x x -1)) |
(/.f32 (*.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1)))) (sqrt.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (*.f32 x x) -1) 3/2)))) (sqrt.f32 (+.f32 (+.f32 (*.f32 x x) -1) (*.f32 x (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))))) |
(sqrt.f32 (fma.f32 x x -1)) |
(/.f32 (*.f32 (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1)))) 2) (cbrt.f32 (+.f32 1 (*.f32 (*.f32 x x) 0)))) (cbrt.f32 (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))) |
(sqrt.f32 (fma.f32 x x -1)) |
(/.f32 (*.f32 (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1)))) 2) (cbrt.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (*.f32 x x) -1) 3/2)))) (cbrt.f32 (+.f32 (+.f32 (*.f32 x x) -1) (*.f32 x (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))))) |
(sqrt.f32 (fma.f32 x x -1)) |
(/.f32 (*.f32 (+.f32 (*.f32 x x) (-.f32 -1 (*.f32 x x))) 1) (-.f32 (sqrt.f32 (+.f32 (*.f32 x x) -1)) x)) |
(sqrt.f32 (fma.f32 x x -1)) |
(/.f32 (*.f32 (+.f32 (neg.f32 (*.f32 (*.f32 x x) 0)) -1) 1) (neg.f32 (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))) |
(sqrt.f32 (fma.f32 x x -1)) |
(/.f32 (*.f32 (neg.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (*.f32 x x) -1) 3/2))) 1) (neg.f32 (+.f32 (+.f32 (*.f32 x x) -1) (*.f32 x (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))))) |
(sqrt.f32 (fma.f32 x x -1)) |
(/.f32 (*.f32 (sqrt.f32 (+.f32 1 (*.f32 (*.f32 x x) 0))) (sqrt.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))) (sqrt.f32 (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))) |
(sqrt.f32 (fma.f32 x x -1)) |
(/.f32 (*.f32 (sqrt.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (*.f32 x x) -1) 3/2))) (sqrt.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))) (sqrt.f32 (+.f32 (+.f32 (*.f32 x x) -1) (*.f32 x (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))))) |
(sqrt.f32 (fma.f32 x x -1)) |
(/.f32 (*.f32 (cbrt.f32 (+.f32 1 (*.f32 (*.f32 x x) 0))) (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1)))) 2)) (cbrt.f32 (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))) |
(sqrt.f32 (fma.f32 x x -1)) |
(/.f32 (*.f32 (cbrt.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (*.f32 x x) -1) 3/2))) (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1)))) 2)) (cbrt.f32 (+.f32 (+.f32 (*.f32 x x) -1) (*.f32 x (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))))) |
(sqrt.f32 (fma.f32 x x -1)) |
(/.f32 (*.f32 (-.f32 (pow.f32 x 4) (pow.f32 (+.f32 (*.f32 x x) -1) 2)) (/.f32 1 (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))) (+.f32 (+.f32 (*.f32 x x) (*.f32 x x)) -1)) |
(sqrt.f32 (fma.f32 x x -1)) |
(/.f32 (*.f32 (-.f32 (pow.f32 (*.f32 x x) 3) (pow.f32 (+.f32 (*.f32 x x) -1) 3)) (/.f32 1 (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))) (+.f32 (pow.f32 x 4) (*.f32 (+.f32 (*.f32 x x) -1) (+.f32 (+.f32 (*.f32 x x) (*.f32 x x)) -1)))) |
(sqrt.f32 (fma.f32 x x -1)) |
(/.f32 (*.f32 (-.f32 (pow.f32 x 6) (pow.f32 (+.f32 (*.f32 x x) -1) 3)) (/.f32 1 (+.f32 (+.f32 (*.f32 x x) -1) (*.f32 x (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))))) (-.f32 (pow.f32 x 3) (pow.f32 (+.f32 (*.f32 x x) -1) 3/2))) |
(sqrt.f32 (fma.f32 x x -1)) |
(/.f32 (*.f32 (+.f32 (pow.f32 (pow.f32 x 3) 3) (pow.f32 (pow.f32 (+.f32 (*.f32 x x) -1) 3/2) 3)) (/.f32 1 (+.f32 (+.f32 (*.f32 x x) -1) (*.f32 x (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))))) (+.f32 (pow.f32 x 6) (-.f32 (pow.f32 (+.f32 (*.f32 x x) -1) 3) (*.f32 (pow.f32 x 3) (pow.f32 (+.f32 (*.f32 x x) -1) 3/2))))) |
(sqrt.f32 (fma.f32 x x -1)) |
(/.f32 (/.f32 (+.f32 1 (*.f32 (*.f32 x x) 0)) 1) (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1)))) |
(sqrt.f32 (fma.f32 x x -1)) |
(/.f32 (/.f32 (+.f32 1 (*.f32 (*.f32 x x) 0)) (sqrt.f32 (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))) (sqrt.f32 (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))) |
(sqrt.f32 (fma.f32 x x -1)) |
(/.f32 (/.f32 (+.f32 1 (*.f32 (*.f32 x x) 0)) (*.f32 (cbrt.f32 (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1)))) (cbrt.f32 (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1)))))) (cbrt.f32 (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))) |
(sqrt.f32 (fma.f32 x x -1)) |
(/.f32 (/.f32 (+.f32 1 (*.f32 (*.f32 x x) 0)) (+.f32 (pow.f32 (+.f32 (*.f32 x x) -1) 1/4) (sqrt.f32 x))) (-.f32 (sqrt.f32 x) (pow.f32 (+.f32 (*.f32 x x) -1) 1/4))) |
(sqrt.f32 (fma.f32 x x -1)) |
(/.f32 (/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (*.f32 x x) -1) 3/2)) 1) (+.f32 (+.f32 (*.f32 x x) -1) (*.f32 x (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1)))))) |
(sqrt.f32 (fma.f32 x x -1)) |
(/.f32 (/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (*.f32 x x) -1) 3/2)) (sqrt.f32 (+.f32 (+.f32 (*.f32 x x) -1) (*.f32 x (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))))) (sqrt.f32 (+.f32 (+.f32 (*.f32 x x) -1) (*.f32 x (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))))) |
(sqrt.f32 (fma.f32 x x -1)) |
(/.f32 (/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (*.f32 x x) -1) 3/2)) (*.f32 (cbrt.f32 (+.f32 (+.f32 (*.f32 x x) -1) (*.f32 x (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1)))))) (cbrt.f32 (+.f32 (+.f32 (*.f32 x x) -1) (*.f32 x (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1)))))))) (cbrt.f32 (+.f32 (+.f32 (*.f32 x x) -1) (*.f32 x (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))))) |
(sqrt.f32 (fma.f32 x x -1)) |
(pow.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))) 1) |
(sqrt.f32 (fma.f32 x x -1)) |
(pow.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1)))) 2) |
(sqrt.f32 (fma.f32 x x -1)) |
(pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1)))) 3) |
(sqrt.f32 (fma.f32 x x -1)) |
(pow.f32 (pow.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))) 3) 1/3) |
(sqrt.f32 (fma.f32 x x -1)) |
(pow.f32 (exp.f32 1) (log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))) |
(sqrt.f32 (fma.f32 x x -1)) |
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1)))))) (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1)))))) |
(sqrt.f32 (fma.f32 x x -1)) |
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))) 2)) (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1)))))) |
(sqrt.f32 (fma.f32 x x -1)) |
(neg.f32 (/.f32 (+.f32 1 (*.f32 (*.f32 x x) 0)) (neg.f32 (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1)))))) |
(sqrt.f32 (fma.f32 x x -1)) |
(neg.f32 (/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 (*.f32 x x) -1) 3/2)) (neg.f32 (+.f32 (+.f32 (*.f32 x x) -1) (*.f32 x (-.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1)))))))) |
(sqrt.f32 (fma.f32 x x -1)) |
(sqrt.f32 (pow.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))) 2)) |
(sqrt.f32 (fma.f32 x x -1)) |
(log.f32 (exp.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))) |
(sqrt.f32 (fma.f32 x x -1)) |
(log.f32 (+.f32 1 (expm1.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1)))))) |
(sqrt.f32 (fma.f32 x x -1)) |
(cbrt.f32 (pow.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))) 3)) |
(sqrt.f32 (fma.f32 x x -1)) |
(expm1.f32 (log1p.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))) |
(sqrt.f32 (fma.f32 x x -1)) |
(exp.f32 (log.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))) |
(sqrt.f32 (fma.f32 x x -1)) |
(log1p.f32 (expm1.f32 (+.f32 x (sqrt.f32 (+.f32 (*.f32 x x) -1))))) |
(sqrt.f32 (fma.f32 x x -1)) |
(fma.f32 1 x (sqrt.f32 (+.f32 (*.f32 x x) -1))) |
(sqrt.f32 (fma.f32 x x -1)) |
(fma.f32 1 (sqrt.f32 (+.f32 (*.f32 x x) -1)) x) |
(sqrt.f32 (fma.f32 x x -1)) |
(fma.f32 (pow.f32 (+.f32 (*.f32 x x) -1) 1/4) (pow.f32 (+.f32 (*.f32 x x) -1) 1/4) x) |
(sqrt.f32 (fma.f32 x x -1)) |
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) -1))) |
(sqrt.f32 (fma.f32 x x -1)) |
(fma.f32 (cbrt.f32 (+.f32 (*.f32 x x) -1)) (cbrt.f32 (sqrt.f32 (+.f32 (*.f32 x x) -1))) x) |
(sqrt.f32 (fma.f32 x x -1)) |
(fma.f32 (cbrt.f32 (*.f32 x x)) (cbrt.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) -1))) |
(sqrt.f32 (fma.f32 x x -1)) |
Compiled 21925 to 15030 computations (31.4% saved)
13 alts after pruning (8 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1024 | 6 | 1030 |
| Fresh | 1 | 2 | 3 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 5 | 5 |
| Total | 1026 | 13 | 1039 |
| Status | Error | Program |
|---|---|---|
| 2.23% | (+.f32 (+.f32 (log.f32 2) (log.f32 x)) (/.f32 -1/4 (*.f32 x x))) | |
| ▶ | 3.03% | (+.f32 (log.f32 2) (log.f32 x)) |
| ▶ | 2.68% | (log1p.f32 (-.f32 (+.f32 x x) 1)) |
| ▶ | 1.81% | (log1p.f32 (+.f32 (+.f32 x x) (-.f32 (/.f32 -1/2 x) 1))) |
| ▶ | 1.79% | (log.f32 (/.f32 1 (/.f32 1 (+.f32 (/.f32 -1/2 x) (+.f32 x x))))) |
| ✓ | 1.77% | (log.f32 (-.f32 (*.f32 x 2) (/.f32 1/2 x))) |
| ✓ | 1.76% | (log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x)))) |
| ✓ | 52.03% | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1)))) |
| 52.01% | (log.f32 (+.f32 x (sqrt.f32 (+.f32 (+.f32 (neg.f32 (+.f32 x 1)) (*.f32 x x)) x)))) | |
| ✓ | 51.99% | (log.f32 (+.f32 x (sqrt.f32 (*.f32 (+.f32 x 1) (+.f32 x -1))))) |
| ✓ | 2.65% | (log.f32 (+.f32 x x)) |
| ▶ | 55.77% | (log.f32 x) |
| 93.89% | 0 |
Compiled 181 to 132 computations (27.1% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.01% | (/.f32 -1/2 x) |
| ✓ | 0.33% | (/.f32 1 (+.f32 (/.f32 -1/2 x) (+.f32 x x))) |
| ✓ | 0.41% | (log.f32 (/.f32 1 (/.f32 1 (+.f32 (/.f32 -1/2 x) (+.f32 x x))))) |
| ✓ | 0.5% | (/.f32 1 (/.f32 1 (+.f32 (/.f32 -1/2 x) (+.f32 x x)))) |
Compiled 49 to 29 computations (40.8% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f32 -1/2 x) |
| 0.0ms | x | @ | inf | (/.f32 1 (+.f32 (/.f32 -1/2 x) (+.f32 x x))) |
| 0.0ms | x | @ | inf | (log.f32 (/.f32 1 (/.f32 1 (+.f32 (/.f32 -1/2 x) (+.f32 x x))))) |
| 0.0ms | x | @ | -inf | (log.f32 (/.f32 1 (/.f32 1 (+.f32 (/.f32 -1/2 x) (+.f32 x x))))) |
| 0.0ms | x | @ | 0 | (/.f32 1 (+.f32 (/.f32 -1/2 x) (+.f32 x x))) |
| 1× | batch-egg-rewrite |
| 810× | *-commutative |
| 760× | associate-/r* |
| 516× | associate-/r/ |
| 514× | distribute-lft-in |
| 436× | distribute-rgt-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 80 |
| 1 | 270 | 32 |
| 2 | 3743 | 32 |
| 1× | node limit |
| Inputs |
|---|
(/.f32 1 (/.f32 1 (+.f32 (/.f32 -1/2 x) (+.f32 x x)))) |
(log.f32 (/.f32 1 (/.f32 1 (+.f32 (/.f32 -1/2 x) (+.f32 x x))))) |
(/.f32 1 (+.f32 (/.f32 -1/2 x) (+.f32 x x))) |
(/.f32 -1/2 x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f32 x x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 x (+.f32 x (+.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 x (+.f32 (+.f32 x (+.f32 x x)) (+.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 x (+.f32 x (fma.f32 (+.f32 x x) 1 (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 x (+.f32 (+.f32 x (+.f32 x x)) (fma.f32 (+.f32 x x) 1 (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 x (+.f32 x (fma.f32 (neg.f32 x) 2 (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 x (+.f32 (+.f32 x (+.f32 x x)) (fma.f32 (neg.f32 x) 2 (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 x (-.f32 x (+.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 x (-.f32 (+.f32 x (+.f32 x x)) (+.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 x x) (+.f32 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 x x) (fma.f32 (+.f32 x x) 1 (+.f32 x x)))))) 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((x *.f32 (/.f32 (+.f32 x x) (-.f32 0 (*.f32 0 (neg.f32 x)))) (*.f32 0 (neg.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (+.f32 x x) (-.f32 (*.f32 (fma.f32 x x 0) 1/2) (*.f32 (*.f32 2 (pow.f32 x 3)) (neg.f32 x)))) (*.f32 (fma.f32 x x 0) (neg.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (+.f32 x x) (*.f32 0 (*.f32 2 (pow.f32 x 3)))) (*.f32 0 (fma.f32 x x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (+.f32 x x) (*.f32 -1/2 (*.f32 2 (pow.f32 x 3)))) (+.f32 0 (pow.f32 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (+.f32 x x) (*.f32 (*.f32 2 (pow.f32 x 3)) 1/2)) (*.f32 (fma.f32 x x 0) (neg.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (+.f32 x x) (neg.f32 (*.f32 2 (pow.f32 x 3)))) (neg.f32 (fma.f32 x x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (+.f32 x x) (pow.f32 (*.f32 2 (pow.f32 x 3)) 3)) (pow.f32 (fma.f32 x x 0) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (*.f32 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(pow.f32 (+.f32 x (+.f32 x x)) 3))) (+.f32 (*.f32 (+.f32 x (+.f32 x x)) (+.f32 x (+.f32 x x))) (-.f32 (*.f32 x x) (*.f32 x (+.f32 x (+.f32 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -1 (+.f32 0 (*.f32 0 (neg.f32 x)))) (*.f32 0 (neg.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -1 (+.f32 (fma.f32 x x 0) (*.f32 (+.f32 x x) (*.f32 2 (pow.f32 x 3))))) (*.f32 2 (pow.f32 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -1 (+.f32 (*.f32 -1/2 (fma.f32 x x 0)) (*.f32 x (*.f32 2 (pow.f32 x 3))))) (+.f32 0 (pow.f32 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -1 (+.f32 (*.f32 (fma.f32 x x 0) 1/2) (*.f32 (*.f32 2 (pow.f32 x 3)) (neg.f32 x)))) (*.f32 (fma.f32 x x 0) (neg.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -1 (-.f32 (fma.f32 x x 0) (*.f32 (+.f32 x x) (*.f32 2 (pow.f32 x 3))))) (*.f32 2 (pow.f32 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -1 (-.f32 (*.f32 -1/2 (fma.f32 x x 0)) (*.f32 x (*.f32 2 (pow.f32 x 3))))) (+.f32 0 (pow.f32 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -1 (-.f32 0 (*.f32 0 (neg.f32 x)))) (*.f32 0 (neg.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -1 (-.f32 (*.f32 (fma.f32 x x 0) 1/2) (*.f32 (*.f32 2 (pow.f32 x 3)) (neg.f32 x)))) (*.f32 (fma.f32 x x 0) (neg.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -1 (*.f32 0 (*.f32 2 (pow.f32 x 3)))) (*.f32 0 (fma.f32 x x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -1 (*.f32 -1/2 (*.f32 2 (pow.f32 x 3)))) (+.f32 0 (pow.f32 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -1 (*.f32 (*.f32 2 (pow.f32 x 3)) 1/2)) (*.f32 (fma.f32 x x 0) (neg.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -1 (neg.f32 (*.f32 2 (pow.f32 x 3)))) (neg.f32 (fma.f32 x x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -1 (pow.f32 (*.f32 2 (pow.f32 x 3)) 3)) (pow.f32 (fma.f32 x x 0) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (/.f32 -1/2 (sqrt.f32 x))) (sqrt.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (/.f32 -1/2 (pow.f32 (cbrt.f32 x) 2))) (cbrt.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sqrt.f32 x) -1/2) (sqrt.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (pow.f32 (cbrt.f32 x) 2) -1/2) (cbrt.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 x x) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 x x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 x x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 x x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 x x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 x x) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 x x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (E.f32) (log.f32 (+.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x x))) 2)) (cbrt.f32 (log.f32 (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x x)))) (sqrt.f32 (log.f32 (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (+.f32 x x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (+.f32 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (+.f32 x x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (+.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (/.f32 1 (exp.f32 (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (/.f32 (exp.f32 (+.f32 x x)) (exp.f32 (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (+.f32 x x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (+.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f32 (+.f32 x x) (+.f32 x x))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f32 (sqrt.f32 x) (sqrt.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (+.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (+.f32 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (+.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 x x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (+.f32 x x) (+.f32 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 -1/2 (/.f32 1 x) (+.f32 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (+.f32 x x) (+.f32 x x) (+.f32 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 x) (sqrt.f32 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 x) 2) (cbrt.f32 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 2 x (+.f32 x x)))))) |
| 1× | egg-herbie |
| 374× | *-commutative |
| 352× | +-commutative |
| 220× | sub-neg |
| 188× | associate-*l/ |
| 120× | fma-def |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 859 | 1106 |
| 1 | 3220 | 1106 |
| 1× | unsound |
| Inputs |
|---|
(/.f32 -1/2 x) |
(-.f32 (*.f32 2 x) (*.f32 1/2 (/.f32 1 x))) |
(-.f32 (*.f32 2 x) (*.f32 1/2 (/.f32 1 x))) |
(-.f32 (*.f32 2 x) (*.f32 1/2 (/.f32 1 x))) |
(*.f32 2 x) |
(-.f32 (*.f32 2 x) (*.f32 1/2 (/.f32 1 x))) |
(-.f32 (*.f32 2 x) (*.f32 1/2 (/.f32 1 x))) |
(-.f32 (*.f32 2 x) (*.f32 1/2 (/.f32 1 x))) |
(*.f32 2 x) |
(-.f32 (*.f32 2 x) (*.f32 1/2 (/.f32 1 x))) |
(-.f32 (*.f32 2 x) (*.f32 1/2 (/.f32 1 x))) |
(-.f32 (*.f32 2 x) (*.f32 1/2 (/.f32 1 x))) |
(+.f32 (log.f32 -1/2) (*.f32 -1 (log.f32 x))) |
(+.f32 (log.f32 -1/2) (+.f32 (*.f32 -4 (pow.f32 x 2)) (*.f32 -1 (log.f32 x)))) |
(+.f32 (log.f32 -1/2) (+.f32 (*.f32 -4 (pow.f32 x 2)) (+.f32 (*.f32 -8 (pow.f32 x 4)) (*.f32 -1 (log.f32 x))))) |
(+.f32 (log.f32 -1/2) (+.f32 (*.f32 -4 (pow.f32 x 2)) (+.f32 (*.f32 -8 (pow.f32 x 4)) (+.f32 (*.f32 -64/3 (pow.f32 x 6)) (*.f32 -1 (log.f32 x)))))) |
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x)))) |
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))) |
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (+.f32 (*.f32 1/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))) |
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (+.f32 (*.f32 1/32 (/.f32 1 (pow.f32 x 4))) (+.f32 (*.f32 1/192 (/.f32 1 (pow.f32 x 6))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))) |
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) |
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))) |
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) (+.f32 (*.f32 1/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))) |
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) (+.f32 (*.f32 1/32 (/.f32 1 (pow.f32 x 4))) (+.f32 (*.f32 1/192 (/.f32 1 (pow.f32 x 6))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))) |
(*.f32 -2 x) |
(+.f32 (*.f32 -2 x) (*.f32 -8 (pow.f32 x 3))) |
(+.f32 (*.f32 -2 x) (+.f32 (*.f32 -32 (pow.f32 x 5)) (*.f32 -8 (pow.f32 x 3)))) |
(+.f32 (*.f32 -128 (pow.f32 x 7)) (+.f32 (*.f32 -2 x) (+.f32 (*.f32 -32 (pow.f32 x 5)) (*.f32 -8 (pow.f32 x 3))))) |
(/.f32 1/2 x) |
(+.f32 (*.f32 1/8 (/.f32 1 (pow.f32 x 3))) (*.f32 1/2 (/.f32 1 x))) |
(+.f32 (*.f32 1/8 (/.f32 1 (pow.f32 x 3))) (+.f32 (*.f32 1/2 (/.f32 1 x)) (*.f32 1/32 (/.f32 1 (pow.f32 x 5))))) |
(+.f32 (*.f32 1/8 (/.f32 1 (pow.f32 x 3))) (+.f32 (*.f32 1/2 (/.f32 1 x)) (+.f32 (*.f32 1/32 (/.f32 1 (pow.f32 x 5))) (*.f32 1/128 (/.f32 1 (pow.f32 x 7)))))) |
(/.f32 1/2 x) |
(+.f32 (*.f32 1/8 (/.f32 1 (pow.f32 x 3))) (*.f32 1/2 (/.f32 1 x))) |
(+.f32 (*.f32 1/8 (/.f32 1 (pow.f32 x 3))) (+.f32 (*.f32 1/2 (/.f32 1 x)) (*.f32 1/32 (/.f32 1 (pow.f32 x 5))))) |
(+.f32 (*.f32 1/8 (/.f32 1 (pow.f32 x 3))) (+.f32 (*.f32 1/2 (/.f32 1 x)) (+.f32 (*.f32 1/32 (/.f32 1 (pow.f32 x 5))) (*.f32 1/128 (/.f32 1 (pow.f32 x 7)))))) |
(+.f32 x x) |
(+.f32 x (+.f32 x (+.f32 x x))) |
(+.f32 x (+.f32 (+.f32 x (+.f32 x x)) (+.f32 x x))) |
(+.f32 x (+.f32 x (fma.f32 (+.f32 x x) 1 (+.f32 x x)))) |
(+.f32 x (+.f32 (+.f32 x (+.f32 x x)) (fma.f32 (+.f32 x x) 1 (+.f32 x x)))) |
(+.f32 x (+.f32 x (fma.f32 (neg.f32 x) 2 (+.f32 x x)))) |
(+.f32 x (+.f32 (+.f32 x (+.f32 x x)) (fma.f32 (neg.f32 x) 2 (+.f32 x x)))) |
(+.f32 x (-.f32 x (+.f32 x x))) |
(+.f32 x (-.f32 (+.f32 x (+.f32 x x)) (+.f32 x x))) |
(+.f32 (+.f32 x x) (+.f32 x x)) |
(+.f32 (+.f32 x x) (fma.f32 (+.f32 x x) 1 (+.f32 x x))) |
(+.f32 (+.f32 x x) (fma.f32 (neg.f32 x) 2 (+.f32 x x))) |
(+.f32 (+.f32 x x) (+.f32 (fma.f32 (+.f32 x x) 1 (+.f32 x x)) (fma.f32 (+.f32 x x) 1 (+.f32 x x)))) |
(+.f32 (+.f32 x x) (+.f32 (fma.f32 (neg.f32 x) 2 (+.f32 x x)) (fma.f32 (+.f32 x x) 1 (+.f32 x x)))) |
(+.f32 (+.f32 x x) (+.f32 (fma.f32 (+.f32 x x) 1 (+.f32 x x)) (fma.f32 (neg.f32 x) 2 (+.f32 x x)))) |
(+.f32 (+.f32 x x) (+.f32 (fma.f32 (neg.f32 x) 2 (+.f32 x x)) (fma.f32 (neg.f32 x) 2 (+.f32 x x)))) |
(+.f32 (+.f32 x x) (-.f32 (fma.f32 (+.f32 x x) 1 (+.f32 x x)) (+.f32 x x))) |
(+.f32 (+.f32 x x) (-.f32 (fma.f32 (neg.f32 x) 2 (+.f32 x x)) (+.f32 x x))) |
(+.f32 (+.f32 x x) (*.f32 (+.f32 x x) (fma.f32 (+.f32 x x) 1 (+.f32 x x)))) |
(+.f32 (+.f32 x x) (*.f32 (+.f32 x x) (fma.f32 (neg.f32 x) 2 (+.f32 x x)))) |
(+.f32 (+.f32 x x) (*.f32 x (fma.f32 (+.f32 x x) 1 (+.f32 x x)))) |
(+.f32 (+.f32 x x) (*.f32 x (fma.f32 (neg.f32 x) 2 (+.f32 x x)))) |
(+.f32 (+.f32 x x) (*.f32 (+.f32 x (+.f32 x x)) (fma.f32 (+.f32 x x) 1 (+.f32 x x)))) |
(+.f32 (+.f32 x x) (*.f32 (+.f32 x (+.f32 x x)) (fma.f32 (neg.f32 x) 2 (+.f32 x x)))) |
(+.f32 (+.f32 x x) (*.f32 -1 (fma.f32 (+.f32 x x) 1 (+.f32 x x)))) |
(+.f32 (+.f32 x x) (*.f32 -1 (fma.f32 (neg.f32 x) 2 (+.f32 x x)))) |
(+.f32 (+.f32 x x) (*.f32 (/.f32 1 x) (fma.f32 (+.f32 x x) 1 (+.f32 x x)))) |
(+.f32 (+.f32 x x) (*.f32 (/.f32 1 x) (fma.f32 (neg.f32 x) 2 (+.f32 x x)))) |
(+.f32 (+.f32 x x) (*.f32 1 (fma.f32 (+.f32 x x) 1 (+.f32 x x)))) |
(+.f32 (+.f32 x x) (*.f32 1 (fma.f32 (neg.f32 x) 2 (+.f32 x x)))) |
(+.f32 (+.f32 x x) (*.f32 1/2 (fma.f32 (+.f32 x x) 1 (+.f32 x x)))) |
(+.f32 (+.f32 x x) (*.f32 1/2 (fma.f32 (neg.f32 x) 2 (+.f32 x x)))) |
(+.f32 (+.f32 x x) (*.f32 -1/2 (fma.f32 (+.f32 x x) 1 (+.f32 x x)))) |
(+.f32 (+.f32 x x) (*.f32 -1/2 (fma.f32 (neg.f32 x) 2 (+.f32 x x)))) |
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(*.f32 (/.f32 1 (pow.f32 (cbrt.f32 x) 2)) (/.f32 -1/2 (cbrt.f32 x))) |
(*.f32 (*.f32 (sqrt.f32 x) 2) (sqrt.f32 x)) |
(*.f32 (*.f32 2 (cbrt.f32 x)) (pow.f32 (cbrt.f32 x) 2)) |
(*.f32 (*.f32 (pow.f32 (cbrt.f32 x) 2) 2) (cbrt.f32 x)) |
(*.f32 -2 x) |
(*.f32 -2 (neg.f32 (neg.f32 x))) |
(*.f32 (pow.f32 (+.f32 x x) 3/2) (pow.f32 (+.f32 x x) 3/2)) |
(*.f32 (/.f32 -1 x) 1/2) |
(*.f32 (/.f32 1 0) 0) |
(*.f32 (/.f32 1 0) (*.f32 0 (neg.f32 x))) |
(*.f32 (/.f32 1 (fma.f32 x x 0)) (*.f32 2 (pow.f32 x 3))) |
(*.f32 (pow.f32 (/.f32 1 x) 3) -1/8) |
(*.f32 (/.f32 1 (*.f32 2 (pow.f32 x 3))) (*.f32 2 (pow.f32 x 3))) |
(*.f32 (/.f32 1 (*.f32 2 (pow.f32 x 3))) (fma.f32 x x 0)) |
(*.f32 (/.f32 (+.f32 x x) (sqrt.f32 x)) (/.f32 -1/2 (sqrt.f32 x))) |
(*.f32 (/.f32 (+.f32 x x) (pow.f32 (cbrt.f32 x) 2)) (/.f32 -1/2 (cbrt.f32 x))) |
(*.f32 (/.f32 (+.f32 x x) 0) 0) |
(*.f32 (/.f32 (+.f32 x x) 0) (*.f32 0 (neg.f32 x))) |
(*.f32 (/.f32 (+.f32 x x) (*.f32 2 (pow.f32 x 3))) (*.f32 2 (pow.f32 x 3))) |
(*.f32 (/.f32 (+.f32 x x) (*.f32 2 (pow.f32 x 3))) (fma.f32 x x 0)) |
(*.f32 (/.f32 -1 0) 0) |
(*.f32 (/.f32 -1 0) (*.f32 0 (neg.f32 x))) |
(*.f32 (/.f32 -1 (*.f32 2 (pow.f32 x 3))) (*.f32 2 (pow.f32 x 3))) |
(*.f32 (/.f32 -1 (*.f32 2 (pow.f32 x 3))) (fma.f32 x x 0)) |
(*.f32 (/.f32 1 (sqrt.f32 -1)) (+.f32 x x)) |
(*.f32 (/.f32 1 (sqrt.f32 (*.f32 2 (pow.f32 x 3)))) (sqrt.f32 (fma.f32 x x 0))) |
(*.f32 (/.f32 1 (sqrt.f32 0)) (sqrt.f32 0)) |
(*.f32 (/.f32 1 (cbrt.f32 (*.f32 2 (pow.f32 x 3)))) (cbrt.f32 (fma.f32 x x 0))) |
(*.f32 (/.f32 1 (*.f32 (*.f32 2 (pow.f32 x 3)) (*.f32 2 (pow.f32 x 3)))) (*.f32 (fma.f32 x x 0) (fma.f32 x x 0))) |
(*.f32 (/.f32 1 (*.f32 (+.f32 x x) (*.f32 2 (pow.f32 x 3)))) (fma.f32 x x 0)) |
(*.f32 (/.f32 1 (-.f32 (*.f32 (+.f32 x (+.f32 x x)) (+.f32 x (+.f32 x x))) (*.f32 x x))) (+.f32 (+.f32 x x) 0)) |
(*.f32 (/.f32 1 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 x (+.f32 x x)) 3))) (+.f32 (*.f32 (+.f32 x (+.f32 x x)) (+.f32 x (+.f32 x x))) (-.f32 (*.f32 x x) (*.f32 x (+.f32 x (+.f32 x x)))))) |
(*.f32 (/.f32 1 (+.f32 0 (*.f32 0 (neg.f32 x)))) (*.f32 0 (neg.f32 x))) |
(*.f32 (/.f32 1 (+.f32 (fma.f32 x x 0) (*.f32 (+.f32 x x) (*.f32 2 (pow.f32 x 3))))) (*.f32 2 (pow.f32 x 3))) |
(*.f32 (/.f32 1 (+.f32 (*.f32 -1/2 (fma.f32 x x 0)) (*.f32 x (*.f32 2 (pow.f32 x 3))))) (+.f32 0 (pow.f32 x 3))) |
(*.f32 (/.f32 1 (+.f32 (*.f32 (fma.f32 x x 0) 1/2) (*.f32 (*.f32 2 (pow.f32 x 3)) (neg.f32 x)))) (*.f32 (fma.f32 x x 0) (neg.f32 x))) |
(*.f32 (/.f32 1 (-.f32 (fma.f32 x x 0) (*.f32 (+.f32 x x) (*.f32 2 (pow.f32 x 3))))) (*.f32 2 (pow.f32 x 3))) |
(*.f32 (/.f32 1 (-.f32 (*.f32 -1/2 (fma.f32 x x 0)) (*.f32 x (*.f32 2 (pow.f32 x 3))))) (+.f32 0 (pow.f32 x 3))) |
(*.f32 (/.f32 1 (-.f32 0 (*.f32 0 (neg.f32 x)))) (*.f32 0 (neg.f32 x))) |
(*.f32 (/.f32 1 (-.f32 (*.f32 (fma.f32 x x 0) 1/2) (*.f32 (*.f32 2 (pow.f32 x 3)) (neg.f32 x)))) (*.f32 (fma.f32 x x 0) (neg.f32 x))) |
(*.f32 (/.f32 1 (*.f32 0 (*.f32 2 (pow.f32 x 3)))) (*.f32 0 (fma.f32 x x 0))) |
(*.f32 (/.f32 1 (*.f32 -1/2 (*.f32 2 (pow.f32 x 3)))) (+.f32 0 (pow.f32 x 3))) |
(*.f32 (/.f32 1 (*.f32 (*.f32 2 (pow.f32 x 3)) 1/2)) (*.f32 (fma.f32 x x 0) (neg.f32 x))) |
(*.f32 (/.f32 1 (neg.f32 (*.f32 2 (pow.f32 x 3)))) (neg.f32 (fma.f32 x x 0))) |
(*.f32 (/.f32 1 (pow.f32 (*.f32 2 (pow.f32 x 3)) 3)) (pow.f32 (fma.f32 x x 0) 3)) |
(*.f32 (/.f32 (+.f32 x x) (sqrt.f32 -1)) (+.f32 x x)) |
(*.f32 (/.f32 (+.f32 x x) (sqrt.f32 (*.f32 2 (pow.f32 x 3)))) (sqrt.f32 (fma.f32 x x 0))) |
(*.f32 (/.f32 (+.f32 x x) (sqrt.f32 0)) (sqrt.f32 0)) |
(*.f32 (/.f32 (+.f32 x x) (cbrt.f32 (*.f32 2 (pow.f32 x 3)))) (cbrt.f32 (fma.f32 x x 0))) |
(*.f32 (/.f32 (+.f32 x x) (*.f32 (*.f32 2 (pow.f32 x 3)) (*.f32 2 (pow.f32 x 3)))) (*.f32 (fma.f32 x x 0) (fma.f32 x x 0))) |
(*.f32 (/.f32 (+.f32 x x) (*.f32 (+.f32 x x) (*.f32 2 (pow.f32 x 3)))) (fma.f32 x x 0)) |
(*.f32 (/.f32 (+.f32 x x) (-.f32 (*.f32 (+.f32 x (+.f32 x x)) (+.f32 x (+.f32 x x))) (*.f32 x x))) (+.f32 (+.f32 x x) 0)) |
(*.f32 (/.f32 (+.f32 x x) (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 x (+.f32 x x)) 3))) (+.f32 (*.f32 (+.f32 x (+.f32 x x)) (+.f32 x (+.f32 x x))) (-.f32 (*.f32 x x) (*.f32 x (+.f32 x (+.f32 x x)))))) |
(*.f32 (/.f32 (+.f32 x x) (+.f32 0 (*.f32 0 (neg.f32 x)))) (*.f32 0 (neg.f32 x))) |
(*.f32 (/.f32 (+.f32 x x) (+.f32 (fma.f32 x x 0) (*.f32 (+.f32 x x) (*.f32 2 (pow.f32 x 3))))) (*.f32 2 (pow.f32 x 3))) |
(*.f32 (/.f32 (+.f32 x x) (+.f32 (*.f32 -1/2 (fma.f32 x x 0)) (*.f32 x (*.f32 2 (pow.f32 x 3))))) (+.f32 0 (pow.f32 x 3))) |
(*.f32 (/.f32 (+.f32 x x) (+.f32 (*.f32 (fma.f32 x x 0) 1/2) (*.f32 (*.f32 2 (pow.f32 x 3)) (neg.f32 x)))) (*.f32 (fma.f32 x x 0) (neg.f32 x))) |
(*.f32 (/.f32 (+.f32 x x) (-.f32 (fma.f32 x x 0) (*.f32 (+.f32 x x) (*.f32 2 (pow.f32 x 3))))) (*.f32 2 (pow.f32 x 3))) |
(*.f32 (/.f32 (+.f32 x x) (-.f32 (*.f32 -1/2 (fma.f32 x x 0)) (*.f32 x (*.f32 2 (pow.f32 x 3))))) (+.f32 0 (pow.f32 x 3))) |
(*.f32 (/.f32 (+.f32 x x) (-.f32 0 (*.f32 0 (neg.f32 x)))) (*.f32 0 (neg.f32 x))) |
(*.f32 (/.f32 (+.f32 x x) (-.f32 (*.f32 (fma.f32 x x 0) 1/2) (*.f32 (*.f32 2 (pow.f32 x 3)) (neg.f32 x)))) (*.f32 (fma.f32 x x 0) (neg.f32 x))) |
(*.f32 (/.f32 (+.f32 x x) (*.f32 0 (*.f32 2 (pow.f32 x 3)))) (*.f32 0 (fma.f32 x x 0))) |
(*.f32 (/.f32 (+.f32 x x) (*.f32 -1/2 (*.f32 2 (pow.f32 x 3)))) (+.f32 0 (pow.f32 x 3))) |
(*.f32 (/.f32 (+.f32 x x) (*.f32 (*.f32 2 (pow.f32 x 3)) 1/2)) (*.f32 (fma.f32 x x 0) (neg.f32 x))) |
(*.f32 (/.f32 (+.f32 x x) (neg.f32 (*.f32 2 (pow.f32 x 3)))) (neg.f32 (fma.f32 x x 0))) |
(*.f32 (/.f32 (+.f32 x x) (pow.f32 (*.f32 2 (pow.f32 x 3)) 3)) (pow.f32 (fma.f32 x x 0) 3)) |
(*.f32 (/.f32 (*.f32 2 (pow.f32 x 3)) (-.f32 (*.f32 (*.f32 x x) (*.f32 x x)) 0)) (-.f32 (*.f32 x x) 0)) |
(*.f32 (/.f32 (*.f32 2 (pow.f32 x 3)) (+.f32 0 (pow.f32 (*.f32 x x) 3))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (-.f32 0 (*.f32 (*.f32 x x) 0)))) |
(*.f32 (/.f32 (*.f32 (+.f32 x x) (*.f32 2 (pow.f32 x 3))) (-.f32 (*.f32 (*.f32 x x) (*.f32 x x)) 0)) (-.f32 (*.f32 x x) 0)) |
(*.f32 (/.f32 (*.f32 (+.f32 x x) (*.f32 2 (pow.f32 x 3))) (+.f32 0 (pow.f32 (*.f32 x x) 3))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (-.f32 0 (*.f32 (*.f32 x x) 0)))) |
(*.f32 (/.f32 (fma.f32 x x 0) (-.f32 (*.f32 (pow.f32 x 3) (pow.f32 x 3)) (*.f32 (pow.f32 x 3) (pow.f32 x 3)))) (-.f32 (pow.f32 x 3) (pow.f32 x 3))) |
(*.f32 (/.f32 (fma.f32 x x 0) (*.f32 2 (pow.f32 (pow.f32 x 3) 3))) (+.f32 (*.f32 (pow.f32 x 3) (pow.f32 x 3)) (-.f32 (*.f32 (pow.f32 x 3) (pow.f32 x 3)) (*.f32 (pow.f32 x 3) (pow.f32 x 3))))) |
(*.f32 (/.f32 -1 (sqrt.f32 -1)) (+.f32 x x)) |
(*.f32 (/.f32 -1 (sqrt.f32 (*.f32 2 (pow.f32 x 3)))) (sqrt.f32 (fma.f32 x x 0))) |
(*.f32 (/.f32 -1 (sqrt.f32 0)) (sqrt.f32 0)) |
(*.f32 (/.f32 -1 (cbrt.f32 (*.f32 2 (pow.f32 x 3)))) (cbrt.f32 (fma.f32 x x 0))) |
(*.f32 (/.f32 -1 (*.f32 (*.f32 2 (pow.f32 x 3)) (*.f32 2 (pow.f32 x 3)))) (*.f32 (fma.f32 x x 0) (fma.f32 x x 0))) |
(*.f32 (/.f32 -1 (*.f32 (+.f32 x x) (*.f32 2 (pow.f32 x 3)))) (fma.f32 x x 0)) |
(*.f32 (/.f32 -1 (-.f32 (*.f32 (+.f32 x (+.f32 x x)) (+.f32 x (+.f32 x x))) (*.f32 x x))) (+.f32 (+.f32 x x) 0)) |
(*.f32 (/.f32 -1 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 x (+.f32 x x)) 3))) (+.f32 (*.f32 (+.f32 x (+.f32 x x)) (+.f32 x (+.f32 x x))) (-.f32 (*.f32 x x) (*.f32 x (+.f32 x (+.f32 x x)))))) |
(*.f32 (/.f32 -1 (+.f32 0 (*.f32 0 (neg.f32 x)))) (*.f32 0 (neg.f32 x))) |
(*.f32 (/.f32 -1 (+.f32 (fma.f32 x x 0) (*.f32 (+.f32 x x) (*.f32 2 (pow.f32 x 3))))) (*.f32 2 (pow.f32 x 3))) |
(*.f32 (/.f32 -1 (+.f32 (*.f32 -1/2 (fma.f32 x x 0)) (*.f32 x (*.f32 2 (pow.f32 x 3))))) (+.f32 0 (pow.f32 x 3))) |
(*.f32 (/.f32 -1 (+.f32 (*.f32 (fma.f32 x x 0) 1/2) (*.f32 (*.f32 2 (pow.f32 x 3)) (neg.f32 x)))) (*.f32 (fma.f32 x x 0) (neg.f32 x))) |
(*.f32 (/.f32 -1 (-.f32 (fma.f32 x x 0) (*.f32 (+.f32 x x) (*.f32 2 (pow.f32 x 3))))) (*.f32 2 (pow.f32 x 3))) |
(*.f32 (/.f32 -1 (-.f32 (*.f32 -1/2 (fma.f32 x x 0)) (*.f32 x (*.f32 2 (pow.f32 x 3))))) (+.f32 0 (pow.f32 x 3))) |
(*.f32 (/.f32 -1 (-.f32 0 (*.f32 0 (neg.f32 x)))) (*.f32 0 (neg.f32 x))) |
(*.f32 (/.f32 -1 (-.f32 (*.f32 (fma.f32 x x 0) 1/2) (*.f32 (*.f32 2 (pow.f32 x 3)) (neg.f32 x)))) (*.f32 (fma.f32 x x 0) (neg.f32 x))) |
(*.f32 (/.f32 -1 (*.f32 0 (*.f32 2 (pow.f32 x 3)))) (*.f32 0 (fma.f32 x x 0))) |
(*.f32 (/.f32 -1 (*.f32 -1/2 (*.f32 2 (pow.f32 x 3)))) (+.f32 0 (pow.f32 x 3))) |
(*.f32 (/.f32 -1 (*.f32 (*.f32 2 (pow.f32 x 3)) 1/2)) (*.f32 (fma.f32 x x 0) (neg.f32 x))) |
(*.f32 (/.f32 -1 (neg.f32 (*.f32 2 (pow.f32 x 3)))) (neg.f32 (fma.f32 x x 0))) |
(*.f32 (/.f32 -1 (pow.f32 (*.f32 2 (pow.f32 x 3)) 3)) (pow.f32 (fma.f32 x x 0) 3)) |
(*.f32 (/.f32 1 (/.f32 -1/2 (sqrt.f32 x))) (sqrt.f32 x)) |
(*.f32 (/.f32 1 (/.f32 -1/2 (pow.f32 (cbrt.f32 x) 2))) (cbrt.f32 x)) |
(*.f32 (/.f32 (sqrt.f32 x) -1/2) (sqrt.f32 x)) |
(*.f32 (/.f32 (pow.f32 (cbrt.f32 x) 2) -1/2) (cbrt.f32 x)) |
(pow.f32 (+.f32 x x) 1) |
(pow.f32 (+.f32 x x) -1/2) |
(pow.f32 (+.f32 x x) 2) |
(pow.f32 (+.f32 x x) 3) |
(pow.f32 (+.f32 x x) -1) |
(pow.f32 (+.f32 x x) 1/2) |
(pow.f32 (+.f32 x x) -2) |
(pow.f32 (+.f32 x x) 1/3) |
(pow.f32 (E.f32) (log.f32 (+.f32 x x))) |
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x x))) 2)) (cbrt.f32 (log.f32 (+.f32 x x)))) |
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x x)))) (sqrt.f32 (log.f32 (+.f32 x x)))) |
(neg.f32 (+.f32 x x)) |
(sqrt.f32 (+.f32 x x)) |
(fabs.f32 (+.f32 x x)) |
(log.f32 (exp.f32 (+.f32 x x))) |
(log.f32 (/.f32 1 (exp.f32 (+.f32 x x)))) |
(log.f32 (+.f32 1 (expm1.f32 (+.f32 x x)))) |
(log.f32 (/.f32 (exp.f32 (+.f32 x x)) (exp.f32 (+.f32 x x)))) |
(cbrt.f32 (+.f32 x x)) |
(expm1.f32 (log1p.f32 (+.f32 x x))) |
(hypot.f32 (+.f32 x x) (+.f32 x x)) |
(hypot.f32 (sqrt.f32 x) (sqrt.f32 x)) |
(exp.f32 (log.f32 (+.f32 x x))) |
(exp.f32 (*.f32 (log.f32 (+.f32 x x)) 3)) |
(log1p.f32 (expm1.f32 (+.f32 x x))) |
(fma.f32 1 x x) |
(fma.f32 1 (+.f32 x x) (+.f32 x x)) |
(fma.f32 -1/2 (/.f32 1 x) (+.f32 x x)) |
(fma.f32 (+.f32 x x) (+.f32 x x) (+.f32 x x)) |
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) x) |
(fma.f32 (pow.f32 (cbrt.f32 x) 2) (cbrt.f32 x) x) |
(fma.f32 2 x (+.f32 x x)) |
| Outputs |
|---|
(/.f32 -1/2 x) |
-2 |
(-.f32 (*.f32 2 x) (*.f32 1/2 (/.f32 1 x))) |
-2 |
(-.f32 (*.f32 2 x) (*.f32 1/2 (/.f32 1 x))) |
-2 |
(-.f32 (*.f32 2 x) (*.f32 1/2 (/.f32 1 x))) |
-2 |
(*.f32 2 x) |
-2 |
(-.f32 (*.f32 2 x) (*.f32 1/2 (/.f32 1 x))) |
-2 |
(-.f32 (*.f32 2 x) (*.f32 1/2 (/.f32 1 x))) |
-2 |
(-.f32 (*.f32 2 x) (*.f32 1/2 (/.f32 1 x))) |
-2 |
(*.f32 2 x) |
-2 |
(-.f32 (*.f32 2 x) (*.f32 1/2 (/.f32 1 x))) |
-2 |
(-.f32 (*.f32 2 x) (*.f32 1/2 (/.f32 1 x))) |
-2 |
(-.f32 (*.f32 2 x) (*.f32 1/2 (/.f32 1 x))) |
-2 |
(+.f32 (log.f32 -1/2) (*.f32 -1 (log.f32 x))) |
-2 |
(+.f32 (log.f32 -1/2) (+.f32 (*.f32 -4 (pow.f32 x 2)) (*.f32 -1 (log.f32 x)))) |
-2 |
(+.f32 (log.f32 -1/2) (+.f32 (*.f32 -4 (pow.f32 x 2)) (+.f32 (*.f32 -8 (pow.f32 x 4)) (*.f32 -1 (log.f32 x))))) |
-2 |
(+.f32 (log.f32 -1/2) (+.f32 (*.f32 -4 (pow.f32 x 2)) (+.f32 (*.f32 -8 (pow.f32 x 4)) (+.f32 (*.f32 -64/3 (pow.f32 x 6)) (*.f32 -1 (log.f32 x)))))) |
-2 |
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x)))) |
-2 |
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))) |
-2 |
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (+.f32 (*.f32 1/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))) |
-1/32 |
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (+.f32 (*.f32 1/32 (/.f32 1 (pow.f32 x 4))) (+.f32 (*.f32 1/192 (/.f32 1 (pow.f32 x 6))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))) |
-7/192 |
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) |
-2 |
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))) |
-2 |
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) (+.f32 (*.f32 1/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))) |
-1/32 |
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) (+.f32 (*.f32 1/32 (/.f32 1 (pow.f32 x 4))) (+.f32 (*.f32 1/192 (/.f32 1 (pow.f32 x 6))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))) |
-7/192 |
(*.f32 -2 x) |
-2 |
(+.f32 (*.f32 -2 x) (*.f32 -8 (pow.f32 x 3))) |
-2 |
(+.f32 (*.f32 -2 x) (+.f32 (*.f32 -32 (pow.f32 x 5)) (*.f32 -8 (pow.f32 x 3)))) |
-2 |
(+.f32 (*.f32 -128 (pow.f32 x 7)) (+.f32 (*.f32 -2 x) (+.f32 (*.f32 -32 (pow.f32 x 5)) (*.f32 -8 (pow.f32 x 3))))) |
-2 |
(/.f32 1/2 x) |
-2 |
(+.f32 (*.f32 1/8 (/.f32 1 (pow.f32 x 3))) (*.f32 1/2 (/.f32 1 x))) |
1/8 |
(+.f32 (*.f32 1/8 (/.f32 1 (pow.f32 x 3))) (+.f32 (*.f32 1/2 (/.f32 1 x)) (*.f32 1/32 (/.f32 1 (pow.f32 x 5))))) |
5/32 |
(+.f32 (*.f32 1/8 (/.f32 1 (pow.f32 x 3))) (+.f32 (*.f32 1/2 (/.f32 1 x)) (+.f32 (*.f32 1/32 (/.f32 1 (pow.f32 x 5))) (*.f32 1/128 (/.f32 1 (pow.f32 x 7)))))) |
21/128 |
(/.f32 1/2 x) |
-2 |
(+.f32 (*.f32 1/8 (/.f32 1 (pow.f32 x 3))) (*.f32 1/2 (/.f32 1 x))) |
1/8 |
(+.f32 (*.f32 1/8 (/.f32 1 (pow.f32 x 3))) (+.f32 (*.f32 1/2 (/.f32 1 x)) (*.f32 1/32 (/.f32 1 (pow.f32 x 5))))) |
5/32 |
(+.f32 (*.f32 1/8 (/.f32 1 (pow.f32 x 3))) (+.f32 (*.f32 1/2 (/.f32 1 x)) (+.f32 (*.f32 1/32 (/.f32 1 (pow.f32 x 5))) (*.f32 1/128 (/.f32 1 (pow.f32 x 7)))))) |
21/128 |
(+.f32 x x) |
-2 |
(+.f32 x (+.f32 x (+.f32 x x))) |
-2 |
(+.f32 x (+.f32 (+.f32 x (+.f32 x x)) (+.f32 x x))) |
-2 |
(+.f32 x (+.f32 x (fma.f32 (+.f32 x x) 1 (+.f32 x x)))) |
-2 |
(+.f32 x (+.f32 (+.f32 x (+.f32 x x)) (fma.f32 (+.f32 x x) 1 (+.f32 x x)))) |
-2 |
(+.f32 x (+.f32 x (fma.f32 (neg.f32 x) 2 (+.f32 x x)))) |
-2 |
(+.f32 x (+.f32 (+.f32 x (+.f32 x x)) (fma.f32 (neg.f32 x) 2 (+.f32 x x)))) |
-2 |
(+.f32 x (-.f32 x (+.f32 x x))) |
-2 |
(+.f32 x (-.f32 (+.f32 x (+.f32 x x)) (+.f32 x x))) |
-2 |
(+.f32 (+.f32 x x) (+.f32 x x)) |
-2 |
(+.f32 (+.f32 x x) (fma.f32 (+.f32 x x) 1 (+.f32 x x))) |
-2 |
(+.f32 (+.f32 x x) (fma.f32 (neg.f32 x) 2 (+.f32 x x))) |
-2 |
(+.f32 (+.f32 x x) (+.f32 (fma.f32 (+.f32 x x) 1 (+.f32 x x)) (fma.f32 (+.f32 x x) 1 (+.f32 x x)))) |
-2 |
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(*.f32 (/.f32 (+.f32 x x) (+.f32 (*.f32 (fma.f32 x x 0) 1/2) (*.f32 (*.f32 2 (pow.f32 x 3)) (neg.f32 x)))) (*.f32 (fma.f32 x x 0) (neg.f32 x))) |
-2 |
(*.f32 (/.f32 (+.f32 x x) (-.f32 (fma.f32 x x 0) (*.f32 (+.f32 x x) (*.f32 2 (pow.f32 x 3))))) (*.f32 2 (pow.f32 x 3))) |
-2 |
(*.f32 (/.f32 (+.f32 x x) (-.f32 (*.f32 -1/2 (fma.f32 x x 0)) (*.f32 x (*.f32 2 (pow.f32 x 3))))) (+.f32 0 (pow.f32 x 3))) |
-2 |
(*.f32 (/.f32 (+.f32 x x) (-.f32 0 (*.f32 0 (neg.f32 x)))) (*.f32 0 (neg.f32 x))) |
-2 |
(*.f32 (/.f32 (+.f32 x x) (-.f32 (*.f32 (fma.f32 x x 0) 1/2) (*.f32 (*.f32 2 (pow.f32 x 3)) (neg.f32 x)))) (*.f32 (fma.f32 x x 0) (neg.f32 x))) |
-2 |
(*.f32 (/.f32 (+.f32 x x) (*.f32 0 (*.f32 2 (pow.f32 x 3)))) (*.f32 0 (fma.f32 x x 0))) |
-2 |
(*.f32 (/.f32 (+.f32 x x) (*.f32 -1/2 (*.f32 2 (pow.f32 x 3)))) (+.f32 0 (pow.f32 x 3))) |
-2 |
(*.f32 (/.f32 (+.f32 x x) (*.f32 (*.f32 2 (pow.f32 x 3)) 1/2)) (*.f32 (fma.f32 x x 0) (neg.f32 x))) |
-2 |
(*.f32 (/.f32 (+.f32 x x) (neg.f32 (*.f32 2 (pow.f32 x 3)))) (neg.f32 (fma.f32 x x 0))) |
-2 |
(*.f32 (/.f32 (+.f32 x x) (pow.f32 (*.f32 2 (pow.f32 x 3)) 3)) (pow.f32 (fma.f32 x x 0) 3)) |
-2 |
(*.f32 (/.f32 (*.f32 2 (pow.f32 x 3)) (-.f32 (*.f32 (*.f32 x x) (*.f32 x x)) 0)) (-.f32 (*.f32 x x) 0)) |
-2 |
(*.f32 (/.f32 (*.f32 2 (pow.f32 x 3)) (+.f32 0 (pow.f32 (*.f32 x x) 3))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (-.f32 0 (*.f32 (*.f32 x x) 0)))) |
-2 |
(*.f32 (/.f32 (*.f32 (+.f32 x x) (*.f32 2 (pow.f32 x 3))) (-.f32 (*.f32 (*.f32 x x) (*.f32 x x)) 0)) (-.f32 (*.f32 x x) 0)) |
-2 |
(*.f32 (/.f32 (*.f32 (+.f32 x x) (*.f32 2 (pow.f32 x 3))) (+.f32 0 (pow.f32 (*.f32 x x) 3))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (-.f32 0 (*.f32 (*.f32 x x) 0)))) |
-2 |
(*.f32 (/.f32 (fma.f32 x x 0) (-.f32 (*.f32 (pow.f32 x 3) (pow.f32 x 3)) (*.f32 (pow.f32 x 3) (pow.f32 x 3)))) (-.f32 (pow.f32 x 3) (pow.f32 x 3))) |
-2 |
(*.f32 (/.f32 (fma.f32 x x 0) (*.f32 2 (pow.f32 (pow.f32 x 3) 3))) (+.f32 (*.f32 (pow.f32 x 3) (pow.f32 x 3)) (-.f32 (*.f32 (pow.f32 x 3) (pow.f32 x 3)) (*.f32 (pow.f32 x 3) (pow.f32 x 3))))) |
-2 |
(*.f32 (/.f32 -1 (sqrt.f32 -1)) (+.f32 x x)) |
-2 |
(*.f32 (/.f32 -1 (sqrt.f32 (*.f32 2 (pow.f32 x 3)))) (sqrt.f32 (fma.f32 x x 0))) |
-2 |
(*.f32 (/.f32 -1 (sqrt.f32 0)) (sqrt.f32 0)) |
-2 |
(*.f32 (/.f32 -1 (cbrt.f32 (*.f32 2 (pow.f32 x 3)))) (cbrt.f32 (fma.f32 x x 0))) |
-2 |
(*.f32 (/.f32 -1 (*.f32 (*.f32 2 (pow.f32 x 3)) (*.f32 2 (pow.f32 x 3)))) (*.f32 (fma.f32 x x 0) (fma.f32 x x 0))) |
-2 |
(*.f32 (/.f32 -1 (*.f32 (+.f32 x x) (*.f32 2 (pow.f32 x 3)))) (fma.f32 x x 0)) |
-2 |
(*.f32 (/.f32 -1 (-.f32 (*.f32 (+.f32 x (+.f32 x x)) (+.f32 x (+.f32 x x))) (*.f32 x x))) (+.f32 (+.f32 x x) 0)) |
-2 |
(*.f32 (/.f32 -1 (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 x (+.f32 x x)) 3))) (+.f32 (*.f32 (+.f32 x (+.f32 x x)) (+.f32 x (+.f32 x x))) (-.f32 (*.f32 x x) (*.f32 x (+.f32 x (+.f32 x x)))))) |
-2 |
(*.f32 (/.f32 -1 (+.f32 0 (*.f32 0 (neg.f32 x)))) (*.f32 0 (neg.f32 x))) |
-2 |
(*.f32 (/.f32 -1 (+.f32 (fma.f32 x x 0) (*.f32 (+.f32 x x) (*.f32 2 (pow.f32 x 3))))) (*.f32 2 (pow.f32 x 3))) |
-2 |
(*.f32 (/.f32 -1 (+.f32 (*.f32 -1/2 (fma.f32 x x 0)) (*.f32 x (*.f32 2 (pow.f32 x 3))))) (+.f32 0 (pow.f32 x 3))) |
-2 |
(*.f32 (/.f32 -1 (+.f32 (*.f32 (fma.f32 x x 0) 1/2) (*.f32 (*.f32 2 (pow.f32 x 3)) (neg.f32 x)))) (*.f32 (fma.f32 x x 0) (neg.f32 x))) |
-2 |
(*.f32 (/.f32 -1 (-.f32 (fma.f32 x x 0) (*.f32 (+.f32 x x) (*.f32 2 (pow.f32 x 3))))) (*.f32 2 (pow.f32 x 3))) |
-2 |
(*.f32 (/.f32 -1 (-.f32 (*.f32 -1/2 (fma.f32 x x 0)) (*.f32 x (*.f32 2 (pow.f32 x 3))))) (+.f32 0 (pow.f32 x 3))) |
-2 |
(*.f32 (/.f32 -1 (-.f32 0 (*.f32 0 (neg.f32 x)))) (*.f32 0 (neg.f32 x))) |
-2 |
(*.f32 (/.f32 -1 (-.f32 (*.f32 (fma.f32 x x 0) 1/2) (*.f32 (*.f32 2 (pow.f32 x 3)) (neg.f32 x)))) (*.f32 (fma.f32 x x 0) (neg.f32 x))) |
-2 |
(*.f32 (/.f32 -1 (*.f32 0 (*.f32 2 (pow.f32 x 3)))) (*.f32 0 (fma.f32 x x 0))) |
-2 |
(*.f32 (/.f32 -1 (*.f32 -1/2 (*.f32 2 (pow.f32 x 3)))) (+.f32 0 (pow.f32 x 3))) |
-2 |
(*.f32 (/.f32 -1 (*.f32 (*.f32 2 (pow.f32 x 3)) 1/2)) (*.f32 (fma.f32 x x 0) (neg.f32 x))) |
-2 |
(*.f32 (/.f32 -1 (neg.f32 (*.f32 2 (pow.f32 x 3)))) (neg.f32 (fma.f32 x x 0))) |
-2 |
(*.f32 (/.f32 -1 (pow.f32 (*.f32 2 (pow.f32 x 3)) 3)) (pow.f32 (fma.f32 x x 0) 3)) |
-2 |
(*.f32 (/.f32 1 (/.f32 -1/2 (sqrt.f32 x))) (sqrt.f32 x)) |
-2 |
(*.f32 (/.f32 1 (/.f32 -1/2 (pow.f32 (cbrt.f32 x) 2))) (cbrt.f32 x)) |
-2 |
(*.f32 (/.f32 (sqrt.f32 x) -1/2) (sqrt.f32 x)) |
-2 |
(*.f32 (/.f32 (pow.f32 (cbrt.f32 x) 2) -1/2) (cbrt.f32 x)) |
-2 |
(pow.f32 (+.f32 x x) 1) |
-2 |
(pow.f32 (+.f32 x x) -1/2) |
-2 |
(pow.f32 (+.f32 x x) 2) |
-2 |
(pow.f32 (+.f32 x x) 3) |
-2 |
(pow.f32 (+.f32 x x) -1) |
-2 |
(pow.f32 (+.f32 x x) 1/2) |
-2 |
(pow.f32 (+.f32 x x) -2) |
-2 |
(pow.f32 (+.f32 x x) 1/3) |
-2 |
(pow.f32 (E.f32) (log.f32 (+.f32 x x))) |
-2 |
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x x))) 2)) (cbrt.f32 (log.f32 (+.f32 x x)))) |
-2 |
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x x)))) (sqrt.f32 (log.f32 (+.f32 x x)))) |
-2 |
(neg.f32 (+.f32 x x)) |
-2 |
(sqrt.f32 (+.f32 x x)) |
-2 |
(fabs.f32 (+.f32 x x)) |
-2 |
(log.f32 (exp.f32 (+.f32 x x))) |
-2 |
(log.f32 (/.f32 1 (exp.f32 (+.f32 x x)))) |
-2 |
(log.f32 (+.f32 1 (expm1.f32 (+.f32 x x)))) |
-2 |
(log.f32 (/.f32 (exp.f32 (+.f32 x x)) (exp.f32 (+.f32 x x)))) |
-2 |
(cbrt.f32 (+.f32 x x)) |
-2 |
(expm1.f32 (log1p.f32 (+.f32 x x))) |
-2 |
(hypot.f32 (+.f32 x x) (+.f32 x x)) |
(hypot.f32 -2 -2) |
(hypot.f32 (sqrt.f32 x) (sqrt.f32 x)) |
(hypot.f32 -2 -2) |
(exp.f32 (log.f32 (+.f32 x x))) |
-2 |
(exp.f32 (*.f32 (log.f32 (+.f32 x x)) 3)) |
-2 |
(log1p.f32 (expm1.f32 (+.f32 x x))) |
-2 |
(fma.f32 1 x x) |
-2 |
(fma.f32 1 (+.f32 x x) (+.f32 x x)) |
-2 |
(fma.f32 -1/2 (/.f32 1 x) (+.f32 x x)) |
-2 |
(fma.f32 (+.f32 x x) (+.f32 x x) (+.f32 x x)) |
-2 |
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) x) |
-2 |
(fma.f32 (pow.f32 (cbrt.f32 x) 2) (cbrt.f32 x) x) |
-2 |
(fma.f32 2 x (+.f32 x x)) |
-2 |
Compiled 4 to 2 computations (50% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.41% | (log1p.f32 (-.f32 (+.f32 x x) 1)) |
Compiled 17 to 8 computations (52.9% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | x | @ | 0 | (log1p.f32 (-.f32 (+.f32 x x) 1)) |
| 6.0ms | x | @ | -inf | (log1p.f32 (-.f32 (+.f32 x x) 1)) |
| 6.0ms | x | @ | inf | (log1p.f32 (-.f32 (+.f32 x x) 1)) |
| 1× | batch-egg-rewrite |
| 1536× | add-sqr-sqrt |
| 1518× | *-un-lft-identity |
| 1422× | add-cube-cbrt |
| 1410× | add-cbrt-cube |
| 168× | pow1 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 17 |
| 1 | 172 | 11 |
| 2 | 2351 | 11 |
| 1× | node limit |
| Inputs |
|---|
(log1p.f32 (-.f32 (+.f32 x x) 1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (+.f32 x x)) (log.f32 (+.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 2) (log.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log.f32 (+.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (*.f32 2 (pow.f32 x 3))) (log.f32 (fma.f32 x x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 0) (log.f32 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (log.f32 (+.f32 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log.f32 (+.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log.f32 (+.f32 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log.f32 (+.f32 x x))) (sqrt.f32 (log.f32 (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log.f32 (+.f32 x x))) (pow.f32 (cbrt.f32 (log.f32 (+.f32 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x x))) 2) (cbrt.f32 (log.f32 (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log.f32 (+.f32 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log.f32 (+.f32 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log.f32 (+.f32 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log.f32 (+.f32 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log.f32 (+.f32 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 x x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log.f32 (+.f32 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log.f32 (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log.f32 (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (log.f32 (+.f32 x x))) 1)))))) |
| 1× | egg-herbie |
| 1196× | associate-+r- |
| 1082× | associate-+l- |
| 934× | associate-*r* |
| 834× | *-commutative |
| 826× | +-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 515 |
| 1 | 120 | 399 |
| 2 | 504 | 399 |
| 3 | 3112 | 399 |
| 4 | 6177 | 399 |
| 1× | node limit |
| Inputs |
|---|
(+.f32 (log.f32 2) (log.f32 x)) |
(+.f32 (log.f32 2) (log.f32 x)) |
(+.f32 (log.f32 2) (log.f32 x)) |
(+.f32 (log.f32 2) (log.f32 x)) |
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x)))) |
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x)))) |
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x)))) |
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x)))) |
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) |
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) |
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) |
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) |
(+.f32 (log.f32 (+.f32 x x)) (log.f32 (+.f32 x x))) |
(+.f32 (log.f32 2) (log.f32 x)) |
(+.f32 0 (log.f32 (+.f32 x x))) |
(-.f32 (log.f32 (*.f32 2 (pow.f32 x 3))) (log.f32 (fma.f32 x x 0))) |
(-.f32 (log.f32 0) (log.f32 0)) |
(-.f32 (exp.f32 (log1p.f32 (log.f32 (+.f32 x x)))) 1) |
(*.f32 1 (log.f32 (+.f32 x x))) |
(*.f32 (log.f32 (+.f32 x x)) 1) |
(*.f32 (sqrt.f32 (log.f32 (+.f32 x x))) (sqrt.f32 (log.f32 (+.f32 x x)))) |
(*.f32 (cbrt.f32 (log.f32 (+.f32 x x))) (pow.f32 (cbrt.f32 (log.f32 (+.f32 x x))) 2)) |
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x x))) 2) (cbrt.f32 (log.f32 (+.f32 x x)))) |
(pow.f32 (log.f32 (+.f32 x x)) 1) |
(pow.f32 (sqrt.f32 (log.f32 (+.f32 x x))) 2) |
(pow.f32 (cbrt.f32 (log.f32 (+.f32 x x))) 3) |
(pow.f32 (pow.f32 (log.f32 (+.f32 x x)) 3) 1/3) |
(sqrt.f32 (pow.f32 (log.f32 (+.f32 x x)) 2)) |
(log.f32 (+.f32 x x)) |
(cbrt.f32 (pow.f32 (log.f32 (+.f32 x x)) 3)) |
(expm1.f32 (log1p.f32 (log.f32 (+.f32 x x)))) |
(exp.f32 (log.f32 (log.f32 (+.f32 x x)))) |
(exp.f32 (*.f32 (log.f32 (log.f32 (+.f32 x x))) 1)) |
| Outputs |
|---|
(+.f32 (log.f32 2) (log.f32 x)) |
(log.f32 (+.f32 x x)) |
(+.f32 (log.f32 2) (log.f32 x)) |
(log.f32 (+.f32 x x)) |
(+.f32 (log.f32 2) (log.f32 x)) |
(log.f32 (+.f32 x x)) |
(+.f32 (log.f32 2) (log.f32 x)) |
(log.f32 (+.f32 x x)) |
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x)))) |
(+.f32 (log.f32 2) (log.f32 x)) |
(log.f32 (+.f32 x x)) |
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x)))) |
(+.f32 (log.f32 2) (log.f32 x)) |
(log.f32 (+.f32 x x)) |
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x)))) |
(+.f32 (log.f32 2) (log.f32 x)) |
(log.f32 (+.f32 x x)) |
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x)))) |
(+.f32 (log.f32 2) (log.f32 x)) |
(log.f32 (+.f32 x x)) |
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) |
(fma.f32 -1 (log.f32 (/.f32 -1 x)) (log.f32 -2)) |
(-.f32 (log.f32 -2) (log.f32 (/.f32 -1 x))) |
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) |
(fma.f32 -1 (log.f32 (/.f32 -1 x)) (log.f32 -2)) |
(-.f32 (log.f32 -2) (log.f32 (/.f32 -1 x))) |
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) |
(fma.f32 -1 (log.f32 (/.f32 -1 x)) (log.f32 -2)) |
(-.f32 (log.f32 -2) (log.f32 (/.f32 -1 x))) |
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) |
(fma.f32 -1 (log.f32 (/.f32 -1 x)) (log.f32 -2)) |
(-.f32 (log.f32 -2) (log.f32 (/.f32 -1 x))) |
(+.f32 (log.f32 (+.f32 x x)) (log.f32 (+.f32 x x))) |
(*.f32 2 (log.f32 (+.f32 x x))) |
(+.f32 (log.f32 2) (log.f32 x)) |
(log.f32 (+.f32 x x)) |
(+.f32 0 (log.f32 (+.f32 x x))) |
(+.f32 (log.f32 2) (log.f32 x)) |
(log.f32 (+.f32 x x)) |
(-.f32 (log.f32 (*.f32 2 (pow.f32 x 3))) (log.f32 (fma.f32 x x 0))) |
(+.f32 (log.f32 2) (log.f32 x)) |
(log.f32 (+.f32 x x)) |
(-.f32 (log.f32 0) (log.f32 0)) |
0 |
(-.f32 (exp.f32 (log1p.f32 (log.f32 (+.f32 x x)))) 1) |
(+.f32 (log.f32 2) (log.f32 x)) |
(log.f32 (+.f32 x x)) |
(*.f32 1 (log.f32 (+.f32 x x))) |
(+.f32 (log.f32 2) (log.f32 x)) |
(log.f32 (+.f32 x x)) |
(*.f32 (log.f32 (+.f32 x x)) 1) |
(+.f32 (log.f32 2) (log.f32 x)) |
(log.f32 (+.f32 x x)) |
(*.f32 (sqrt.f32 (log.f32 (+.f32 x x))) (sqrt.f32 (log.f32 (+.f32 x x)))) |
(+.f32 (log.f32 2) (log.f32 x)) |
(log.f32 (+.f32 x x)) |
(*.f32 (cbrt.f32 (log.f32 (+.f32 x x))) (pow.f32 (cbrt.f32 (log.f32 (+.f32 x x))) 2)) |
(+.f32 (log.f32 2) (log.f32 x)) |
(log.f32 (+.f32 x x)) |
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x x))) 2) (cbrt.f32 (log.f32 (+.f32 x x)))) |
(+.f32 (log.f32 2) (log.f32 x)) |
(log.f32 (+.f32 x x)) |
(pow.f32 (log.f32 (+.f32 x x)) 1) |
(+.f32 (log.f32 2) (log.f32 x)) |
(log.f32 (+.f32 x x)) |
(pow.f32 (sqrt.f32 (log.f32 (+.f32 x x))) 2) |
(+.f32 (log.f32 2) (log.f32 x)) |
(log.f32 (+.f32 x x)) |
(pow.f32 (cbrt.f32 (log.f32 (+.f32 x x))) 3) |
(+.f32 (log.f32 2) (log.f32 x)) |
(log.f32 (+.f32 x x)) |
(pow.f32 (pow.f32 (log.f32 (+.f32 x x)) 3) 1/3) |
(+.f32 (log.f32 2) (log.f32 x)) |
(log.f32 (+.f32 x x)) |
(sqrt.f32 (pow.f32 (log.f32 (+.f32 x x)) 2)) |
(+.f32 (log.f32 2) (log.f32 x)) |
(log.f32 (+.f32 x x)) |
(log.f32 (+.f32 x x)) |
(+.f32 (log.f32 2) (log.f32 x)) |
(cbrt.f32 (pow.f32 (log.f32 (+.f32 x x)) 3)) |
(+.f32 (log.f32 2) (log.f32 x)) |
(log.f32 (+.f32 x x)) |
(expm1.f32 (log1p.f32 (log.f32 (+.f32 x x)))) |
(+.f32 (log.f32 2) (log.f32 x)) |
(log.f32 (+.f32 x x)) |
(exp.f32 (log.f32 (log.f32 (+.f32 x x)))) |
(+.f32 (log.f32 2) (log.f32 x)) |
(log.f32 (+.f32 x x)) |
(exp.f32 (*.f32 (log.f32 (log.f32 (+.f32 x x))) 1)) |
(+.f32 (log.f32 2) (log.f32 x)) |
(log.f32 (+.f32 x x)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.01% | (/.f32 -1/2 x) |
| ✓ | 0.04% | (+.f32 (+.f32 x x) (-.f32 (/.f32 -1/2 x) 1)) |
| ✓ | 0.44% | (log1p.f32 (+.f32 (+.f32 x x) (-.f32 (/.f32 -1/2 x) 1))) |
Compiled 34 to 21 computations (38.2% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (log1p.f32 (+.f32 (+.f32 x x) (-.f32 (/.f32 -1/2 x) 1))) |
| 0.0ms | x | @ | -inf | (log1p.f32 (+.f32 (+.f32 x x) (-.f32 (/.f32 -1/2 x) 1))) |
| 0.0ms | x | @ | inf | (log1p.f32 (+.f32 (+.f32 x x) (-.f32 (/.f32 -1/2 x) 1))) |
| 0.0ms | x | @ | inf | (+.f32 (+.f32 x x) (-.f32 (/.f32 -1/2 x) 1)) |
| 0.0ms | x | @ | 0 | (+.f32 (+.f32 x x) (-.f32 (/.f32 -1/2 x) 1)) |
| 1× | batch-egg-rewrite |
| 1068× | *-commutative |
| 880× | distribute-lft-in |
| 786× | distribute-rgt-in |
| 636× | associate-/r* |
| 373× | egg-rr |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 79 |
| 1 | 252 | 67 |
| 2 | 3644 | 25 |
| 1× | node limit |
| Inputs |
|---|
(log1p.f32 (+.f32 (+.f32 x x) (-.f32 (/.f32 -1/2 x) 1))) |
(+.f32 (+.f32 x x) (-.f32 (/.f32 -1/2 x) 1)) |
(/.f32 -1/2 x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 -1/2) (log.f32 (/.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 -1/2) (+.f32 (log.f32 (/.f32 1 x)) (log.f32 (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 -1/2) (*.f32 1 (log.f32 (/.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 -1/2) (*.f32 (log.f32 (/.f32 1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (+.f32 x x)) (log.f32 (+.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (+.f32 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 x) (log.f32 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 2) (log.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 2) (+.f32 (log.f32 x) (log.f32 (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log.f32 (+.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (/.f32 1 x)) (log.f32 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 0 (log.f32 -1/2)) (log.f32 (/.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (log.f32 (+.f32 x x)) (log.f32 2)) (log.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (log.f32 2) 0) (log.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (log.f32 2) (log.f32 (sqrt.f32 x))) (log.f32 (sqrt.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (log.f32 2) (log.f32 (cbrt.f32 (*.f32 x x)))) (log.f32 (cbrt.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 0 (log.f32 2)) (log.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (log.f32 (+.f32 x x)) (log.f32 -1/2)) (log.f32 (/.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 -1/2) (log.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 -1/2) (-.f32 (log.f32 x) (log.f32 (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (+.f32 x x)) (log.f32 (+.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 1/2) (log.f32 (neg.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 1/2) (-.f32 (log.f32 (neg.f32 x)) (log.f32 (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (log.f32 (+.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (*.f32 2 (pow.f32 x 3))) (log.f32 (fma.f32 x x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (*.f32 2 (pow.f32 x 3))) (-.f32 (log.f32 (fma.f32 x x 0)) (log.f32 (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 0) (log.f32 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 0) (-.f32 (log.f32 0) (log.f32 (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (log.f32 (+.f32 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 0 (log.f32 -1/2)) (log.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (log.f32 (+.f32 x x)) (log.f32 -1/2)) (log.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 0 (log.f32 1/2)) (log.f32 (neg.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (log.f32 (+.f32 x x)) (log.f32 (*.f32 2 (pow.f32 x 3)))) (log.f32 (fma.f32 x x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (log.f32 (+.f32 x x)) (log.f32 0)) (log.f32 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 0 (log.f32 (*.f32 2 (pow.f32 x 3)))) (log.f32 (fma.f32 x x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 0 (log.f32 0)) (log.f32 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (log.f32 (+.f32 x x)) (log.f32 1/2)) (log.f32 (neg.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 (log.f32 -1/2) 0) (log.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 (log.f32 -1/2) (log.f32 (sqrt.f32 x))) (log.f32 (sqrt.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 (log.f32 -1/2) (log.f32 (cbrt.f32 (*.f32 x x)))) (log.f32 (cbrt.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log.f32 (+.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log.f32 (+.f32 x x))) (sqrt.f32 (log.f32 (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log.f32 (+.f32 x x))) (pow.f32 (cbrt.f32 (log.f32 (+.f32 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x x))) 2) (cbrt.f32 (log.f32 (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log.f32 (+.f32 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (log.f32 (+.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log.f32 (+.f32 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log.f32 (+.f32 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log.f32 (+.f32 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log.f32 (+.f32 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (log.f32 (+.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log.f32 (+.f32 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 x x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log.f32 (+.f32 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log.f32 (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log.f32 (+.f32 x x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f32 1 (+.f32 x x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 x x) (+.f32 x x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 x x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 x x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 x x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 x x) (*.f32 (+.f32 x x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 x x) (neg.f32 (+.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 x x) (-.f32 1 (*.f32 (+.f32 x x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 x x) (fma.f32 (neg.f32 (+.f32 x x)) (+.f32 x x) (+.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 x x) (-.f32 1 (neg.f32 (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 x x) (-.f32 (+.f32 x x) (fma.f32 (neg.f32 (+.f32 x x)) 1 (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 x x) (-.f32 -1 (fma.f32 (neg.f32 (+.f32 x x)) 1 (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 x x) (-.f32 -1 (fma.f32 (neg.f32 (+.f32 x x)) (+.f32 x x) (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 x (+.f32 x x)) (-.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 x)) (-.f32 1 (+.f32 x (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 x)) (-.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 x (/.f32 0 x)) (/.f32 x (/.f32 0 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 x (/.f32 0 x)) (-.f32 (/.f32 x (/.f32 0 x)) (+.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 x (/.f32 0 x)) (-.f32 (/.f32 x (/.f32 0 x)) (*.f32 (+.f32 x x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 x (/.f32 0 x)) (-.f32 (/.f32 x (/.f32 0 x)) (neg.f32 (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 x (/.f32 0 x)) (+.f32 (/.f32 x (/.f32 0 x)) (+.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (+.f32 x x) (/.f32 x (/.f32 0 x))) (/.f32 x (/.f32 0 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (+.f32 x (+.f32 x x)) (exp.f32 (log1p.f32 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 x (exp.f32 (log1p.f32 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 -1 (/.f32 x (/.f32 0 x))) (/.f32 x (/.f32 0 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (/.f32 x (/.f32 0 x))) (/.f32 x (/.f32 0 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 1 (+.f32 x (+.f32 x x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 1 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 1 x) (+.f32 x (+.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 (+.f32 x x) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 (+.f32 x x) x) (+.f32 x (+.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 (+.f32 x x) (+.f32 x (+.f32 x x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 x (+.f32 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 x 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 x -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1/2 (+.f32 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1/2 (/.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (+.f32 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 x x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 x x) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 x x) (+.f32 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 x x) (+.f32 x (+.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 x x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 x x) (/.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 x x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 x x) (neg.f32 (+.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 -1/2) (sqrt.f32 (/.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 x) (sqrt.f32 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 x) (*.f32 (sqrt.f32 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 -1/2) (cbrt.f32 (/.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 x) (cbrt.f32 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 x) (*.f32 (cbrt.f32 (*.f32 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (*.f32 x x)) (*.f32 2 (cbrt.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/4 (*.f32 (/.f32 1 x) (/.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1/8 (pow.f32 (/.f32 1 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 x x) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 x (+.f32 x x)) (+.f32 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (+.f32 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (neg.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 0 (/.f32 1 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (neg.f32 (+.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 x) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 x) (+.f32 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 x 3) 8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (pow.f32 x 3)) (/.f32 1 (fma.f32 x x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (+.f32 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (/.f32 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 2) (sqrt.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (/.f32 1 x)) (sqrt.f32 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 2) (cbrt.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (/.f32 1 x)) (cbrt.f32 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 4 (*.f32 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 8 (pow.f32 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 1 x) (/.f32 1 x)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (sqrt.f32 x)) (/.f32 -1/2 (sqrt.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (cbrt.f32 (*.f32 x x))) (/.f32 -1/2 (cbrt.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 x) 2) (sqrt.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (cbrt.f32 x)) (cbrt.f32 (*.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (*.f32 x x)) 2) (cbrt.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 (+.f32 x x)) (+.f32 x x))))) 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x) (sqrt.f32 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 x) (*.f32 (sqrt.f32 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 -1/2) (cbrt.f32 (/.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 x) (cbrt.f32 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 x) (*.f32 (cbrt.f32 (*.f32 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (*.f32 x x)) (*.f32 2 (cbrt.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/4 (*.f32 (/.f32 1 x) (/.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1/8 (pow.f32 (/.f32 1 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 x x) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 x (+.f32 x x)) (+.f32 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (+.f32 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (neg.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 0 (/.f32 1 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (neg.f32 (+.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 x) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 x) (+.f32 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 x 3) 8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (pow.f32 x 3)) (/.f32 1 (fma.f32 x x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (+.f32 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (/.f32 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 2) (sqrt.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (/.f32 1 x)) (sqrt.f32 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 2) (cbrt.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (/.f32 1 x)) (cbrt.f32 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 4 (*.f32 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 8 (pow.f32 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 1 x) (/.f32 1 x)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (sqrt.f32 x)) (/.f32 -1/2 (sqrt.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (cbrt.f32 (*.f32 x x))) (/.f32 -1/2 (cbrt.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 x) 2) (sqrt.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (cbrt.f32 x)) (cbrt.f32 (*.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (*.f32 x x)) 2) (cbrt.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 (+.f32 x x)) (+.f32 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (+.f32 x x) 3/2) (pow.f32 (+.f32 x x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -2 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -2 (neg.f32 (neg.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 0) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (fma.f32 x x 0)) (*.f32 2 (pow.f32 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -1 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (/.f32 1 x) 3) -1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (*.f32 2 (pow.f32 x 3))) (fma.f32 x x 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (+.f32 x x) (-.f32 (*.f32 x x) (*.f32 (+.f32 x (+.f32 x x)) (+.f32 x (+.f32 x x))))) (-.f32 0 (+.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (+.f32 x x) (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 x (+.f32 x x)) 3))) (-.f32 (+.f32 (*.f32 x x) (*.f32 (+.f32 x (+.f32 x x)) (+.f32 x (+.f32 x x)))) (+.f32 (+.f32 x x) (*.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (+.f32 x x) (*.f32 (+.f32 x x) (*.f32 2 (pow.f32 x 3)))) (*.f32 2 (pow.f32 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (+.f32 x x) (neg.f32 (+.f32 x x))) (neg.f32 (+.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (fma.f32 x x 0) (-.f32 (*.f32 (pow.f32 x 3) (pow.f32 x 3)) (*.f32 (pow.f32 x 3) (pow.f32 x 3)))) (-.f32 (pow.f32 x 3) (pow.f32 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (fma.f32 x x 0) (*.f32 2 (pow.f32 (pow.f32 x 3) 3))) (+.f32 (*.f32 (pow.f32 x 3) (pow.f32 x 3)) (-.f32 (*.f32 (pow.f32 x 3) (pow.f32 x 3)) (*.f32 (pow.f32 x 3) (pow.f32 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (+.f32 x x) (sqrt.f32 x)) (/.f32 -1/2 (sqrt.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (+.f32 x x) (cbrt.f32 (*.f32 x x))) (/.f32 -1/2 (cbrt.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (*.f32 (+.f32 x x) (*.f32 2 (pow.f32 x 3))) (-.f32 (*.f32 (*.f32 x x) (*.f32 x x)) 0)) (-.f32 (*.f32 x x) 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (*.f32 (+.f32 x x) (*.f32 2 (pow.f32 x 3))) (+.f32 0 (pow.f32 (*.f32 x x) 3))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (-.f32 0 (*.f32 (*.f32 x x) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (sqrt.f32 (*.f32 2 (pow.f32 x 3)))) (sqrt.f32 (fma.f32 x x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (sqrt.f32 0)) (sqrt.f32 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (cbrt.f32 (*.f32 2 (pow.f32 x 3)))) (cbrt.f32 (fma.f32 x x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (*.f32 (*.f32 2 (pow.f32 x 3)) (*.f32 2 (pow.f32 x 3)))) (*.f32 (fma.f32 x x 0) (fma.f32 x x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (*.f32 (+.f32 x x) (*.f32 2 (pow.f32 x 3)))) (fma.f32 x x 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (*.f32 0 (*.f32 2 (pow.f32 x 3)))) (*.f32 0 (fma.f32 x x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (neg.f32 (*.f32 2 (pow.f32 x 3)))) (neg.f32 (fma.f32 x x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (pow.f32 (*.f32 2 (pow.f32 x 3)) 3)) (pow.f32 (fma.f32 x x 0) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (*.f32 2 (pow.f32 x 3)) (-.f32 (*.f32 (*.f32 x x) (*.f32 x x)) 0)) (-.f32 (*.f32 x x) 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (*.f32 2 (pow.f32 x 3)) (+.f32 0 (pow.f32 (*.f32 x x) 3))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (-.f32 0 (*.f32 (*.f32 x x) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (-.f32 (*.f32 (+.f32 x x) (*.f32 2 (pow.f32 x 3))) (*.f32 2 (pow.f32 x 3)))) (*.f32 2 (pow.f32 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (+.f32 x x) 0) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (+.f32 x x) (-.f32 (*.f32 (+.f32 x x) (*.f32 2 (pow.f32 x 3))) (*.f32 2 (pow.f32 x 3)))) (*.f32 2 (pow.f32 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (/.f32 -1/2 (sqrt.f32 x))) (sqrt.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (/.f32 -1/2 (cbrt.f32 (*.f32 x x)))) (cbrt.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sqrt.f32 x) -1/2) (sqrt.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (cbrt.f32 (*.f32 x x)) -1/2) (cbrt.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 x x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 x x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 x x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 x x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 x x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (E.f32) (log.f32 (+.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x x))) 2)) (cbrt.f32 (log.f32 (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x x)))) (sqrt.f32 (log.f32 (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (+.f32 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (+.f32 x x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (/.f32 (pow.f32 (exp.f32 2) x) (pow.f32 (exp.f32 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (+.f32 x x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log.f32 (+.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f32 (+.f32 x x) (+.f32 x x))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f32 (sqrt.f32 x) (sqrt.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (+.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (+.f32 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (+.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 -1/2 (/.f32 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 -1/2 (/.f32 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 x x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 x (+.f32 x (+.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (+.f32 x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (+.f32 x x) (+.f32 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (+.f32 x x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (+.f32 x x) (neg.f32 (+.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (+.f32 x x) (+.f32 x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (+.f32 x x) (+.f32 x x) (+.f32 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (+.f32 x x) (+.f32 x x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (+.f32 x x) (+.f32 x x) (neg.f32 (+.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 x) (sqrt.f32 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 x) (sqrt.f32 x) (+.f32 x (+.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (*.f32 x x)) (cbrt.f32 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (*.f32 x x)) (cbrt.f32 x) (+.f32 x (+.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 2 x (+.f32 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 2 x (neg.f32 (+.f32 x x))))))) |
| 1× | egg-herbie |
| 268× | +-commutative |
| 260× | *-commutative |
| 190× | associate-/l/ |
| 174× | sub-neg |
| 150× | associate-/r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 980 | 718 |
| 1 | 3481 | 718 |
| 1× | unsound |
| Inputs |
|---|
(+.f32 (log.f32 -1/2) (*.f32 -1 (log.f32 x))) |
(+.f32 (log.f32 -1/2) (+.f32 (*.f32 -4 (pow.f32 x 2)) (*.f32 -1 (log.f32 x)))) |
(+.f32 (log.f32 -1/2) (+.f32 (*.f32 -4 (pow.f32 x 2)) (+.f32 (*.f32 -8 (pow.f32 x 4)) (*.f32 -1 (log.f32 x))))) |
(+.f32 (log.f32 -1/2) (+.f32 (*.f32 -4 (pow.f32 x 2)) (+.f32 (*.f32 -8 (pow.f32 x 4)) (+.f32 (*.f32 -64/3 (pow.f32 x 6)) (*.f32 -1 (log.f32 x)))))) |
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x)))) |
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))) |
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (+.f32 (*.f32 1/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))) |
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (+.f32 (*.f32 1/32 (/.f32 1 (pow.f32 x 4))) (+.f32 (*.f32 1/192 (/.f32 1 (pow.f32 x 6))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))) |
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) |
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))) |
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) (+.f32 (*.f32 1/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))) |
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) (+.f32 (*.f32 1/32 (/.f32 1 (pow.f32 x 4))) (+.f32 (*.f32 1/192 (/.f32 1 (pow.f32 x 6))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))) |
(/.f32 -1/2 x) |
(neg.f32 (+.f32 1 (*.f32 1/2 (/.f32 1 x)))) |
(-.f32 (*.f32 2 x) (+.f32 1 (*.f32 1/2 (/.f32 1 x)))) |
(-.f32 (*.f32 2 x) (+.f32 1 (*.f32 1/2 (/.f32 1 x)))) |
(*.f32 2 x) |
(-.f32 (*.f32 2 x) 1) |
(-.f32 (*.f32 2 x) (+.f32 (*.f32 1/2 (/.f32 1 x)) 1)) |
(-.f32 (*.f32 2 x) (+.f32 (*.f32 1/2 (/.f32 1 x)) 1)) |
(*.f32 2 x) |
(-.f32 (*.f32 2 x) 1) |
(-.f32 (*.f32 2 x) (+.f32 (*.f32 1/2 (/.f32 1 x)) 1)) |
(-.f32 (*.f32 2 x) (+.f32 (*.f32 1/2 (/.f32 1 x)) 1)) |
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 1 x))) |
(+.f32 (log.f32 -1/2) (+.f32 (log.f32 (/.f32 1 x)) (log.f32 (+.f32 x x)))) |
(+.f32 (log.f32 -1/2) (*.f32 1 (log.f32 (/.f32 1 x)))) |
(+.f32 (log.f32 -1/2) (*.f32 (log.f32 (/.f32 1 x)) 1)) |
(+.f32 (log.f32 (+.f32 x x)) (log.f32 (+.f32 x x))) |
(+.f32 (log.f32 (+.f32 x x)) 0) |
(+.f32 (log.f32 x) (log.f32 2)) |
(+.f32 (log.f32 2) (log.f32 x)) |
(+.f32 (log.f32 2) (+.f32 (log.f32 x) (log.f32 (+.f32 x x)))) |
(+.f32 0 (log.f32 (+.f32 x x))) |
(+.f32 (log.f32 (/.f32 1 x)) (log.f32 -1/2)) |
(+.f32 (+.f32 0 (log.f32 -1/2)) (log.f32 (/.f32 1 x))) |
(+.f32 (+.f32 (log.f32 (+.f32 x x)) (log.f32 2)) (log.f32 x)) |
(+.f32 (+.f32 (log.f32 2) 0) (log.f32 x)) |
(+.f32 (+.f32 (log.f32 2) (log.f32 (sqrt.f32 x))) (log.f32 (sqrt.f32 x))) |
(+.f32 (+.f32 (log.f32 2) (log.f32 (cbrt.f32 (*.f32 x x)))) (log.f32 (cbrt.f32 x))) |
(+.f32 (+.f32 0 (log.f32 2)) (log.f32 x)) |
(+.f32 (+.f32 (log.f32 (+.f32 x x)) (log.f32 -1/2)) (log.f32 (/.f32 1 x))) |
(-.f32 (log.f32 -1/2) (log.f32 x)) |
(-.f32 (log.f32 -1/2) (-.f32 (log.f32 x) (log.f32 (+.f32 x x)))) |
(-.f32 (log.f32 (+.f32 x x)) (log.f32 (+.f32 x x))) |
(-.f32 (log.f32 1/2) (log.f32 (neg.f32 x))) |
(-.f32 (log.f32 1/2) (-.f32 (log.f32 (neg.f32 x)) (log.f32 (+.f32 x x)))) |
(-.f32 0 (log.f32 (+.f32 x x))) |
(-.f32 (log.f32 (*.f32 2 (pow.f32 x 3))) (log.f32 (fma.f32 x x 0))) |
(-.f32 (log.f32 (*.f32 2 (pow.f32 x 3))) (-.f32 (log.f32 (fma.f32 x x 0)) (log.f32 (+.f32 x x)))) |
(-.f32 (log.f32 0) (log.f32 0)) |
(-.f32 (log.f32 0) (-.f32 (log.f32 0) (log.f32 (+.f32 x x)))) |
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(+.f32 (+.f32 x x) (*.f32 1 (*.f32 (+.f32 x x) -1))) |
(+.f32 (+.f32 x x) (*.f32 1 (neg.f32 (+.f32 x x)))) |
(+.f32 (+.f32 x x) (*.f32 1 (fma.f32 (neg.f32 (+.f32 x x)) 1 (+.f32 x x)))) |
(+.f32 (+.f32 x x) (*.f32 1 (fma.f32 (neg.f32 (+.f32 x x)) (+.f32 x x) (+.f32 x x)))) |
(+.f32 (+.f32 x x) (*.f32 (+.f32 x x) (*.f32 (+.f32 x x) -1))) |
(+.f32 (+.f32 x x) (*.f32 (+.f32 x x) (fma.f32 (neg.f32 (+.f32 x x)) 1 (+.f32 x x)))) |
(+.f32 (+.f32 x x) (*.f32 -1 (+.f32 x (+.f32 x x)))) |
(+.f32 (+.f32 x x) (*.f32 (fma.f32 (neg.f32 (+.f32 x x)) (+.f32 x x) (+.f32 x x)) (+.f32 x x))) |
(+.f32 (+.f32 x x) (*.f32 (*.f32 (+.f32 x x) -1) 1)) |
(+.f32 (+.f32 x x) (*.f32 (neg.f32 (+.f32 x x)) 1)) |
(+.f32 (+.f32 x x) (*.f32 (fma.f32 (neg.f32 (+.f32 x x)) 1 (+.f32 x x)) 1)) |
(+.f32 (+.f32 x x) (*.f32 (fma.f32 (neg.f32 (+.f32 x x)) (+.f32 x x) (+.f32 x x)) 1)) |
(+.f32 (+.f32 x x) (*.f32 (*.f32 (+.f32 x x) -1) (+.f32 x x))) |
(+.f32 (+.f32 x x) (*.f32 (fma.f32 (neg.f32 (+.f32 x x)) 1 (+.f32 x x)) (+.f32 x x))) |
(+.f32 (*.f32 x x) (*.f32 x x)) |
(+.f32 (*.f32 x x) (+.f32 (+.f32 x x) (*.f32 x x))) |
(+.f32 (+.f32 x (+.f32 x x)) x) |
(+.f32 (+.f32 x (+.f32 x x)) (+.f32 x 1)) |
(+.f32 (+.f32 x (+.f32 x x)) (+.f32 -1 x)) |
(+.f32 0 (+.f32 x x)) |
(+.f32 -1 (+.f32 x x)) |
(+.f32 (neg.f32 x) (+.f32 x x)) |
(+.f32 (*.f32 (+.f32 x (+.f32 x x)) (+.f32 x (+.f32 x x))) (+.f32 (+.f32 x x) (*.f32 x x))) |
(+.f32 (+.f32 x 1) x) |
(+.f32 (+.f32 x 1) (+.f32 x (+.f32 x x))) |
(+.f32 (*.f32 (+.f32 x x) -1) (+.f32 x x)) |
(+.f32 (neg.f32 (+.f32 x x)) (+.f32 x x)) |
(+.f32 (-.f32 1 (*.f32 (+.f32 x x) -1)) (+.f32 x x)) |
(+.f32 (+.f32 (+.f32 x x) (*.f32 x x)) (*.f32 x x)) |
(+.f32 (+.f32 (+.f32 x x) (*.f32 x x)) (*.f32 (+.f32 x (+.f32 x x)) (+.f32 x (+.f32 x x)))) |
(+.f32 (fma.f32 (neg.f32 (+.f32 x x)) 1 (+.f32 x x)) (+.f32 x x)) |
(+.f32 (fma.f32 (neg.f32 (+.f32 x x)) (+.f32 x x) (+.f32 x x)) (+.f32 x x)) |
(+.f32 (+.f32 1 (+.f32 x (+.f32 x x))) x) |
(+.f32 (+.f32 (+.f32 x 1) (+.f32 x x)) x) |
(+.f32 (+.f32 -1 x) x) |
(+.f32 (-.f32 1 (/.f32 x (/.f32 0 x))) (/.f32 x (/.f32 0 x))) |
(+.f32 (-.f32 (+.f32 x x) (/.f32 x (/.f32 0 x))) (/.f32 x (/.f32 0 x))) |
(+.f32 (*.f32 (+.f32 x x) (+.f32 x 1)) (+.f32 x x)) |
(+.f32 (*.f32 (neg.f32 (+.f32 x x)) -1) (+.f32 x x)) |
(+.f32 (*.f32 1 (+.f32 x 1)) (+.f32 x (+.f32 x x))) |
(+.f32 (*.f32 (+.f32 x 1) (+.f32 x x)) (+.f32 x x)) |
(+.f32 (*.f32 (+.f32 x 1) 1) (+.f32 x (+.f32 x x))) |
(-.f32 1 (+.f32 x x)) |
(-.f32 (+.f32 x x) 1) |
(-.f32 (+.f32 x x) (+.f32 x x)) |
(-.f32 (+.f32 x x) 2) |
(-.f32 (+.f32 x x) 0) |
(-.f32 (+.f32 x x) -1) |
(-.f32 (+.f32 x x) (*.f32 (+.f32 x x) -1)) |
(-.f32 (+.f32 x x) (neg.f32 (+.f32 x x))) |
(-.f32 (+.f32 x x) (-.f32 1 (*.f32 (+.f32 x x) -1))) |
(-.f32 (+.f32 x x) (fma.f32 (neg.f32 (+.f32 x x)) (+.f32 x x) (+.f32 x x))) |
(-.f32 (+.f32 x x) (-.f32 1 (neg.f32 (+.f32 x x)))) |
(-.f32 (+.f32 x x) (-.f32 (+.f32 x x) (fma.f32 (neg.f32 (+.f32 x x)) 1 (+.f32 x x)))) |
(-.f32 (+.f32 x x) (-.f32 -1 (fma.f32 (neg.f32 (+.f32 x x)) 1 (+.f32 x x)))) |
(-.f32 (+.f32 x x) (-.f32 -1 (fma.f32 (neg.f32 (+.f32 x x)) (+.f32 x x) (+.f32 x x)))) |
(-.f32 (+.f32 x (+.f32 x x)) (-.f32 1 x)) |
(-.f32 (exp.f32 (log1p.f32 x)) (-.f32 1 (+.f32 x (+.f32 x x)))) |
(-.f32 (exp.f32 (log1p.f32 x)) (-.f32 1 x)) |
(-.f32 (/.f32 x (/.f32 0 x)) (/.f32 x (/.f32 0 x))) |
(-.f32 (/.f32 x (/.f32 0 x)) (-.f32 (/.f32 x (/.f32 0 x)) (+.f32 x x))) |
(-.f32 (/.f32 x (/.f32 0 x)) (-.f32 (/.f32 x (/.f32 0 x)) (*.f32 (+.f32 x x) -1))) |
(-.f32 (/.f32 x (/.f32 0 x)) (-.f32 (/.f32 x (/.f32 0 x)) (neg.f32 (+.f32 x x)))) |
(-.f32 (/.f32 x (/.f32 0 x)) (+.f32 (/.f32 x (/.f32 0 x)) (+.f32 x x))) |
(-.f32 (+.f32 (+.f32 x x) (/.f32 x (/.f32 0 x))) (/.f32 x (/.f32 0 x))) |
(-.f32 (+.f32 (+.f32 x (+.f32 x x)) (exp.f32 (log1p.f32 x))) 1) |
(-.f32 (+.f32 x (exp.f32 (log1p.f32 x))) 1) |
(-.f32 (+.f32 -1 (/.f32 x (/.f32 0 x))) (/.f32 x (/.f32 0 x))) |
(-.f32 (+.f32 1 (/.f32 x (/.f32 0 x))) (/.f32 x (/.f32 0 x))) |
(-.f32 (-.f32 1 (+.f32 x (+.f32 x x))) x) |
(-.f32 (-.f32 1 x) x) |
(-.f32 (-.f32 1 x) (+.f32 x (+.f32 x x))) |
(-.f32 (-.f32 (+.f32 x x) x) x) |
(-.f32 (-.f32 (+.f32 x x) x) (+.f32 x (+.f32 x x))) |
(-.f32 (-.f32 (+.f32 x x) (+.f32 x (+.f32 x x))) x) |
(*.f32 x (+.f32 x x)) |
(*.f32 x 2) |
(*.f32 x -2) |
(*.f32 -1/2 (+.f32 x x)) |
(*.f32 -1/2 (/.f32 1 x)) |
(*.f32 1 (+.f32 x x)) |
(*.f32 (+.f32 x x) x) |
(*.f32 (+.f32 x x) -1/2) |
(*.f32 (+.f32 x x) 1) |
(*.f32 (+.f32 x x) (+.f32 x x)) |
(*.f32 (+.f32 x x) (+.f32 x (+.f32 x x))) |
(*.f32 (+.f32 x x) 2) |
(*.f32 (+.f32 x x) (/.f32 1 x)) |
(*.f32 (+.f32 x x) 1/2) |
(*.f32 (+.f32 x x) (neg.f32 (+.f32 x x))) |
(*.f32 (sqrt.f32 -1/2) (sqrt.f32 (/.f32 1 x))) |
(*.f32 (sqrt.f32 x) (sqrt.f32 2)) |
(*.f32 (sqrt.f32 x) (*.f32 (sqrt.f32 x) 2)) |
(*.f32 (cbrt.f32 -1/2) (cbrt.f32 (/.f32 1 x))) |
(*.f32 (cbrt.f32 x) (cbrt.f32 2)) |
(*.f32 (cbrt.f32 x) (*.f32 (cbrt.f32 (*.f32 x x)) 2)) |
(*.f32 (cbrt.f32 (*.f32 x x)) (*.f32 2 (cbrt.f32 x))) |
(*.f32 1/4 (*.f32 (/.f32 1 x) (/.f32 1 x))) |
(*.f32 -1/8 (pow.f32 (/.f32 1 x) 3)) |
(*.f32 (*.f32 x x) 4) |
(*.f32 (+.f32 x (+.f32 x x)) (+.f32 x x)) |
(*.f32 2 x) |
(*.f32 2 (+.f32 x x)) |
(*.f32 2 (*.f32 x x)) |
(*.f32 2 (neg.f32 x)) |
(*.f32 0 (/.f32 1 0)) |
(*.f32 -1 (neg.f32 (+.f32 x x))) |
(*.f32 (/.f32 1 x) -1/2) |
(*.f32 (/.f32 1 x) (+.f32 x x)) |
(*.f32 (pow.f32 x 3) 8) |
(*.f32 (*.f32 2 (pow.f32 x 3)) (/.f32 1 (fma.f32 x x 0))) |
(*.f32 1/2 (+.f32 x x)) |
(*.f32 1/2 (/.f32 -1 x)) |
(*.f32 (sqrt.f32 2) (sqrt.f32 x)) |
(*.f32 (sqrt.f32 (/.f32 1 x)) (sqrt.f32 -1/2)) |
(*.f32 (cbrt.f32 2) (cbrt.f32 x)) |
(*.f32 (cbrt.f32 (/.f32 1 x)) (cbrt.f32 -1/2)) |
(*.f32 4 (*.f32 x x)) |
(*.f32 8 (pow.f32 x 3)) |
(*.f32 (*.f32 (/.f32 1 x) (/.f32 1 x)) 1/4) |
(*.f32 (/.f32 1 (sqrt.f32 x)) (/.f32 -1/2 (sqrt.f32 x))) |
(*.f32 (/.f32 1 (cbrt.f32 (*.f32 x x))) (/.f32 -1/2 (cbrt.f32 x))) |
(*.f32 (*.f32 (sqrt.f32 x) 2) (sqrt.f32 x)) |
(*.f32 (*.f32 2 (cbrt.f32 x)) (cbrt.f32 (*.f32 x x))) |
(*.f32 (*.f32 (cbrt.f32 (*.f32 x x)) 2) (cbrt.f32 x)) |
(*.f32 (neg.f32 (+.f32 x x)) (+.f32 x x)) |
(*.f32 (pow.f32 (+.f32 x x) 3/2) (pow.f32 (+.f32 x x) 3/2)) |
(*.f32 -2 x) |
(*.f32 -2 (neg.f32 (neg.f32 x))) |
(*.f32 (/.f32 1 0) 0) |
(*.f32 (/.f32 1 (fma.f32 x x 0)) (*.f32 2 (pow.f32 x 3))) |
(*.f32 (/.f32 -1 x) 1/2) |
(*.f32 (pow.f32 (/.f32 1 x) 3) -1/8) |
(*.f32 (/.f32 1 (*.f32 2 (pow.f32 x 3))) (fma.f32 x x 0)) |
(*.f32 (/.f32 (+.f32 x x) (-.f32 (*.f32 x x) (*.f32 (+.f32 x (+.f32 x x)) (+.f32 x (+.f32 x x))))) (-.f32 0 (+.f32 x x))) |
(*.f32 (/.f32 (+.f32 x x) (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 x (+.f32 x x)) 3))) (-.f32 (+.f32 (*.f32 x x) (*.f32 (+.f32 x (+.f32 x x)) (+.f32 x (+.f32 x x)))) (+.f32 (+.f32 x x) (*.f32 x x)))) |
(*.f32 (/.f32 (+.f32 x x) (*.f32 (+.f32 x x) (*.f32 2 (pow.f32 x 3)))) (*.f32 2 (pow.f32 x 3))) |
(*.f32 (/.f32 (+.f32 x x) (neg.f32 (+.f32 x x))) (neg.f32 (+.f32 x x))) |
(*.f32 (/.f32 (fma.f32 x x 0) (-.f32 (*.f32 (pow.f32 x 3) (pow.f32 x 3)) (*.f32 (pow.f32 x 3) (pow.f32 x 3)))) (-.f32 (pow.f32 x 3) (pow.f32 x 3))) |
(*.f32 (/.f32 (fma.f32 x x 0) (*.f32 2 (pow.f32 (pow.f32 x 3) 3))) (+.f32 (*.f32 (pow.f32 x 3) (pow.f32 x 3)) (-.f32 (*.f32 (pow.f32 x 3) (pow.f32 x 3)) (*.f32 (pow.f32 x 3) (pow.f32 x 3))))) |
(*.f32 (/.f32 (+.f32 x x) (sqrt.f32 x)) (/.f32 -1/2 (sqrt.f32 x))) |
(*.f32 (/.f32 (+.f32 x x) (cbrt.f32 (*.f32 x x))) (/.f32 -1/2 (cbrt.f32 x))) |
(*.f32 (/.f32 (*.f32 (+.f32 x x) (*.f32 2 (pow.f32 x 3))) (-.f32 (*.f32 (*.f32 x x) (*.f32 x x)) 0)) (-.f32 (*.f32 x x) 0)) |
(*.f32 (/.f32 (*.f32 (+.f32 x x) (*.f32 2 (pow.f32 x 3))) (+.f32 0 (pow.f32 (*.f32 x x) 3))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (-.f32 0 (*.f32 (*.f32 x x) 0)))) |
(*.f32 (/.f32 1 (sqrt.f32 (*.f32 2 (pow.f32 x 3)))) (sqrt.f32 (fma.f32 x x 0))) |
(*.f32 (/.f32 1 (sqrt.f32 0)) (sqrt.f32 0)) |
(*.f32 (/.f32 1 (cbrt.f32 (*.f32 2 (pow.f32 x 3)))) (cbrt.f32 (fma.f32 x x 0))) |
(*.f32 (/.f32 1 (*.f32 (*.f32 2 (pow.f32 x 3)) (*.f32 2 (pow.f32 x 3)))) (*.f32 (fma.f32 x x 0) (fma.f32 x x 0))) |
(*.f32 (/.f32 1 (*.f32 (+.f32 x x) (*.f32 2 (pow.f32 x 3)))) (fma.f32 x x 0)) |
(*.f32 (/.f32 1 (*.f32 0 (*.f32 2 (pow.f32 x 3)))) (*.f32 0 (fma.f32 x x 0))) |
(*.f32 (/.f32 1 (neg.f32 (*.f32 2 (pow.f32 x 3)))) (neg.f32 (fma.f32 x x 0))) |
(*.f32 (/.f32 1 (pow.f32 (*.f32 2 (pow.f32 x 3)) 3)) (pow.f32 (fma.f32 x x 0) 3)) |
(*.f32 (/.f32 (*.f32 2 (pow.f32 x 3)) (-.f32 (*.f32 (*.f32 x x) (*.f32 x x)) 0)) (-.f32 (*.f32 x x) 0)) |
(*.f32 (/.f32 (*.f32 2 (pow.f32 x 3)) (+.f32 0 (pow.f32 (*.f32 x x) 3))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (-.f32 0 (*.f32 (*.f32 x x) 0)))) |
(*.f32 (/.f32 1 (-.f32 (*.f32 (+.f32 x x) (*.f32 2 (pow.f32 x 3))) (*.f32 2 (pow.f32 x 3)))) (*.f32 2 (pow.f32 x 3))) |
(*.f32 (/.f32 (+.f32 x x) 0) 0) |
(*.f32 (/.f32 (+.f32 x x) (-.f32 (*.f32 (+.f32 x x) (*.f32 2 (pow.f32 x 3))) (*.f32 2 (pow.f32 x 3)))) (*.f32 2 (pow.f32 x 3))) |
(*.f32 (/.f32 1 (/.f32 -1/2 (sqrt.f32 x))) (sqrt.f32 x)) |
(*.f32 (/.f32 1 (/.f32 -1/2 (cbrt.f32 (*.f32 x x)))) (cbrt.f32 x)) |
(*.f32 (/.f32 (sqrt.f32 x) -1/2) (sqrt.f32 x)) |
(*.f32 (/.f32 (cbrt.f32 (*.f32 x x)) -1/2) (cbrt.f32 x)) |
(pow.f32 (+.f32 x x) 1) |
(pow.f32 (+.f32 x x) 2) |
(pow.f32 (+.f32 x x) -1) |
(pow.f32 (+.f32 x x) 3) |
(pow.f32 (+.f32 x x) 1/2) |
(pow.f32 (+.f32 x x) 1/3) |
(pow.f32 (E.f32) (log.f32 (+.f32 x x))) |
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x x))) 2)) (cbrt.f32 (log.f32 (+.f32 x x)))) |
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x x)))) (sqrt.f32 (log.f32 (+.f32 x x)))) |
(sqrt.f32 (+.f32 x x)) |
(fabs.f32 (+.f32 x x)) |
(log.f32 (pow.f32 (exp.f32 2) x)) |
(log.f32 (+.f32 1 (expm1.f32 (+.f32 x x)))) |
(log.f32 (/.f32 (pow.f32 (exp.f32 2) x) (pow.f32 (exp.f32 2) x))) |
(cbrt.f32 (+.f32 x x)) |
(expm1.f32 (log.f32 (+.f32 x x))) |
(hypot.f32 (+.f32 x x) (+.f32 x x)) |
(hypot.f32 (sqrt.f32 x) (sqrt.f32 x)) |
(exp.f32 (log.f32 (+.f32 x x))) |
(exp.f32 (*.f32 (log.f32 (+.f32 x x)) 3)) |
(log1p.f32 (expm1.f32 (+.f32 x x))) |
(fma.f32 -1/2 (/.f32 1 x) 1) |
(fma.f32 -1/2 (/.f32 1 x) -1) |
(fma.f32 1 x x) |
(fma.f32 1 x (+.f32 x (+.f32 x x))) |
(fma.f32 1 (+.f32 x x) 1) |
(fma.f32 1 (+.f32 x x) (+.f32 x x)) |
(fma.f32 1 (+.f32 x x) -1) |
(fma.f32 1 (+.f32 x x) (neg.f32 (+.f32 x x))) |
(fma.f32 (+.f32 x x) (+.f32 x x) 1) |
(fma.f32 (+.f32 x x) (+.f32 x x) (+.f32 x x)) |
(fma.f32 (+.f32 x x) (+.f32 x x) -1) |
(fma.f32 (+.f32 x x) (+.f32 x x) (neg.f32 (+.f32 x x))) |
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) x) |
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) (+.f32 x (+.f32 x x))) |
(fma.f32 (cbrt.f32 (*.f32 x x)) (cbrt.f32 x) x) |
(fma.f32 (cbrt.f32 (*.f32 x x)) (cbrt.f32 x) (+.f32 x (+.f32 x x))) |
(fma.f32 2 x (+.f32 x x)) |
(fma.f32 2 x (neg.f32 (+.f32 x x))) |
| Outputs |
|---|
(+.f32 (log.f32 -1/2) (*.f32 -1 (log.f32 x))) |
-2 |
(+.f32 (log.f32 -1/2) (+.f32 (*.f32 -4 (pow.f32 x 2)) (*.f32 -1 (log.f32 x)))) |
-2 |
(+.f32 (log.f32 -1/2) (+.f32 (*.f32 -4 (pow.f32 x 2)) (+.f32 (*.f32 -8 (pow.f32 x 4)) (*.f32 -1 (log.f32 x))))) |
-10 |
(+.f32 (log.f32 -1/2) (+.f32 (*.f32 -4 (pow.f32 x 2)) (+.f32 (*.f32 -8 (pow.f32 x 4)) (+.f32 (*.f32 -64/3 (pow.f32 x 6)) (*.f32 -1 (log.f32 x)))))) |
-94/3 |
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x)))) |
-2 |
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))) |
-2 |
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (+.f32 (*.f32 1/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))) |
-1/32 |
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)) (+.f32 (*.f32 1/32 (/.f32 1 (pow.f32 x 4))) (+.f32 (*.f32 1/192 (/.f32 1 (pow.f32 x 6))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))) |
-7/192 |
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) |
-2 |
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))) |
-2 |
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) (+.f32 (*.f32 1/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))) |
-1/32 |
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) (+.f32 (*.f32 1/32 (/.f32 1 (pow.f32 x 4))) (+.f32 (*.f32 1/192 (/.f32 1 (pow.f32 x 6))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))) |
-7/192 |
(/.f32 -1/2 x) |
-2 |
(neg.f32 (+.f32 1 (*.f32 1/2 (/.f32 1 x)))) |
-2 |
(-.f32 (*.f32 2 x) (+.f32 1 (*.f32 1/2 (/.f32 1 x)))) |
-2 |
(-.f32 (*.f32 2 x) (+.f32 1 (*.f32 1/2 (/.f32 1 x)))) |
-2 |
(*.f32 2 x) |
-2 |
(-.f32 (*.f32 2 x) 1) |
-2 |
(-.f32 (*.f32 2 x) (+.f32 (*.f32 1/2 (/.f32 1 x)) 1)) |
-2 |
(-.f32 (*.f32 2 x) (+.f32 (*.f32 1/2 (/.f32 1 x)) 1)) |
-2 |
(*.f32 2 x) |
-2 |
(-.f32 (*.f32 2 x) 1) |
-2 |
(-.f32 (*.f32 2 x) (+.f32 (*.f32 1/2 (/.f32 1 x)) 1)) |
-2 |
(-.f32 (*.f32 2 x) (+.f32 (*.f32 1/2 (/.f32 1 x)) 1)) |
-2 |
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 1 x))) |
-2 |
(+.f32 (log.f32 -1/2) (+.f32 (log.f32 (/.f32 1 x)) (log.f32 (+.f32 x x)))) |
-2 |
(+.f32 (log.f32 -1/2) (*.f32 1 (log.f32 (/.f32 1 x)))) |
-2 |
(+.f32 (log.f32 -1/2) (*.f32 (log.f32 (/.f32 1 x)) 1)) |
-2 |
(+.f32 (log.f32 (+.f32 x x)) (log.f32 (+.f32 x x))) |
-2 |
(+.f32 (log.f32 (+.f32 x x)) 0) |
-2 |
(+.f32 (log.f32 x) (log.f32 2)) |
-2 |
(+.f32 (log.f32 2) (log.f32 x)) |
-2 |
(+.f32 (log.f32 2) (+.f32 (log.f32 x) (log.f32 (+.f32 x x)))) |
-2 |
(+.f32 0 (log.f32 (+.f32 x x))) |
-2 |
(+.f32 (log.f32 (/.f32 1 x)) (log.f32 -1/2)) |
-2 |
(+.f32 (+.f32 0 (log.f32 -1/2)) (log.f32 (/.f32 1 x))) |
-2 |
(+.f32 (+.f32 (log.f32 (+.f32 x x)) (log.f32 2)) (log.f32 x)) |
-2 |
(+.f32 (+.f32 (log.f32 2) 0) (log.f32 x)) |
-2 |
(+.f32 (+.f32 (log.f32 2) (log.f32 (sqrt.f32 x))) (log.f32 (sqrt.f32 x))) |
-2 |
(+.f32 (+.f32 (log.f32 2) (log.f32 (cbrt.f32 (*.f32 x x)))) (log.f32 (cbrt.f32 x))) |
-2 |
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(-.f32 (+.f32 0 (log.f32 -1/2)) (log.f32 x)) |
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(-.f32 (+.f32 (log.f32 (+.f32 x x)) (log.f32 -1/2)) (log.f32 x)) |
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(/.f32 (+.f32 x x) 1) |
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(/.f32 (+.f32 x x) -2) |
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(pow.f32 (E.f32) (log.f32 (+.f32 x x))) |
-2 |
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x x))) 2)) (cbrt.f32 (log.f32 (+.f32 x x)))) |
-2 |
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x x)))) (sqrt.f32 (log.f32 (+.f32 x x)))) |
-2 |
(sqrt.f32 (+.f32 x x)) |
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(fabs.f32 (+.f32 x x)) |
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(log.f32 (pow.f32 (exp.f32 2) x)) |
-2 |
(log.f32 (+.f32 1 (expm1.f32 (+.f32 x x)))) |
-2 |
(log.f32 (/.f32 (pow.f32 (exp.f32 2) x) (pow.f32 (exp.f32 2) x))) |
-2 |
(cbrt.f32 (+.f32 x x)) |
-2 |
(expm1.f32 (log.f32 (+.f32 x x))) |
(expm1.f32 -2) |
(hypot.f32 (+.f32 x x) (+.f32 x x)) |
(hypot.f32 -2 -2) |
(hypot.f32 (sqrt.f32 x) (sqrt.f32 x)) |
(hypot.f32 -2 -2) |
(exp.f32 (log.f32 (+.f32 x x))) |
-2 |
(exp.f32 (*.f32 (log.f32 (+.f32 x x)) 3)) |
-2 |
(log1p.f32 (expm1.f32 (+.f32 x x))) |
-2 |
(fma.f32 -1/2 (/.f32 1 x) 1) |
-2 |
(fma.f32 -1/2 (/.f32 1 x) -1) |
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(fma.f32 1 x x) |
-2 |
(fma.f32 1 x (+.f32 x (+.f32 x x))) |
-2 |
(fma.f32 1 (+.f32 x x) 1) |
-2 |
(fma.f32 1 (+.f32 x x) (+.f32 x x)) |
-2 |
(fma.f32 1 (+.f32 x x) -1) |
-2 |
(fma.f32 1 (+.f32 x x) (neg.f32 (+.f32 x x))) |
-2 |
(fma.f32 (+.f32 x x) (+.f32 x x) 1) |
-2 |
(fma.f32 (+.f32 x x) (+.f32 x x) (+.f32 x x)) |
-2 |
(fma.f32 (+.f32 x x) (+.f32 x x) -1) |
-2 |
(fma.f32 (+.f32 x x) (+.f32 x x) (neg.f32 (+.f32 x x))) |
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(fma.f32 (sqrt.f32 x) (sqrt.f32 x) x) |
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(fma.f32 (sqrt.f32 x) (sqrt.f32 x) (+.f32 x (+.f32 x x))) |
-2 |
(fma.f32 (cbrt.f32 (*.f32 x x)) (cbrt.f32 x) x) |
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(fma.f32 (cbrt.f32 (*.f32 x x)) (cbrt.f32 x) (+.f32 x (+.f32 x x))) |
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(fma.f32 2 x (+.f32 x x)) |
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(fma.f32 2 x (neg.f32 (+.f32 x x))) |
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(+.f32 x x) |
-2 |
(+.f32 x (+.f32 x (+.f32 x x))) |
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(+.f32 x (+.f32 x (*.f32 (+.f32 x x) -1))) |
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(+.f32 x (+.f32 x (neg.f32 (+.f32 x x)))) |
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(+.f32 x (+.f32 (+.f32 x (+.f32 x x)) (fma.f32 (neg.f32 (+.f32 x x)) 1 (+.f32 x x)))) |
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(+.f32 x (+.f32 (+.f32 x (+.f32 x x)) (fma.f32 (neg.f32 (+.f32 x x)) (+.f32 x x) (+.f32 x x)))) |
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(+.f32 1 (+.f32 x x)) |
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(+.f32 (+.f32 x x) 1) |
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(+.f32 (+.f32 x x) (+.f32 x x)) |
-2 |
(+.f32 (+.f32 x x) 0) |
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(+.f32 (+.f32 x x) -1) |
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(+.f32 (+.f32 x x) (neg.f32 x)) |
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(+.f32 (+.f32 x x) (*.f32 (+.f32 x x) -1)) |
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(+.f32 (+.f32 x x) (neg.f32 (+.f32 x x))) |
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(+.f32 (+.f32 x x) (-.f32 1 (*.f32 (+.f32 x x) -1))) |
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(+.f32 (+.f32 x x) (fma.f32 (neg.f32 (+.f32 x x)) 1 (+.f32 x x))) |
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(+.f32 (+.f32 x x) (fma.f32 (neg.f32 (+.f32 x x)) (+.f32 x x) (+.f32 x x))) |
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(+.f32 (+.f32 x x) (+.f32 (*.f32 (+.f32 x x) -1) (fma.f32 (neg.f32 (+.f32 x x)) 1 (+.f32 x x)))) |
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(+.f32 (+.f32 x x) (+.f32 (neg.f32 (+.f32 x x)) (fma.f32 (neg.f32 (+.f32 x x)) 1 (+.f32 x x)))) |
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(+.f32 (+.f32 x x) (+.f32 (fma.f32 (neg.f32 (+.f32 x x)) 1 (+.f32 x x)) (fma.f32 (neg.f32 (+.f32 x x)) 1 (+.f32 x x)))) |
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(+.f32 (+.f32 x x) (+.f32 (fma.f32 (neg.f32 (+.f32 x x)) (+.f32 x x) (+.f32 x x)) (fma.f32 (neg.f32 (+.f32 x x)) 1 (+.f32 x x)))) |
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(+.f32 (+.f32 x x) (+.f32 1 (fma.f32 (neg.f32 (+.f32 x x)) 1 (+.f32 x x)))) |
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(+.f32 (+.f32 x x) (+.f32 (*.f32 (+.f32 x x) -1) (fma.f32 (neg.f32 (+.f32 x x)) (+.f32 x x) (+.f32 x x)))) |
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(+.f32 (+.f32 x x) (+.f32 1 (fma.f32 (neg.f32 (+.f32 x x)) (+.f32 x x) (+.f32 x x)))) |
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(+.f32 (+.f32 x x) (+.f32 (*.f32 (+.f32 x x) -1) (neg.f32 (+.f32 x x)))) |
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(+.f32 (+.f32 x x) (-.f32 -1 (+.f32 x x))) |
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(+.f32 (+.f32 x x) (-.f32 (*.f32 (+.f32 x x) -1) (+.f32 x x))) |
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(+.f32 (+.f32 x x) (*.f32 (+.f32 x (+.f32 x x)) -1)) |
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(+.f32 (+.f32 x x) (*.f32 (+.f32 x x) (fma.f32 (neg.f32 (+.f32 x x)) (+.f32 x x) (+.f32 x x)))) |
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(+.f32 (+.f32 x x) (*.f32 (neg.f32 (+.f32 x x)) -1)) |
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(+.f32 (+.f32 x x) (*.f32 1 (*.f32 (+.f32 x x) -1))) |
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(+.f32 (+.f32 x x) (*.f32 1 (neg.f32 (+.f32 x x)))) |
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(+.f32 (+.f32 x x) (*.f32 1 (fma.f32 (neg.f32 (+.f32 x x)) 1 (+.f32 x x)))) |
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(+.f32 (+.f32 x x) (*.f32 1 (fma.f32 (neg.f32 (+.f32 x x)) (+.f32 x x) (+.f32 x x)))) |
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(+.f32 (+.f32 x x) (*.f32 (+.f32 x x) (*.f32 (+.f32 x x) -1))) |
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(+.f32 (+.f32 x x) (*.f32 (+.f32 x x) (fma.f32 (neg.f32 (+.f32 x x)) 1 (+.f32 x x)))) |
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(+.f32 (+.f32 x x) (*.f32 -1 (+.f32 x (+.f32 x x)))) |
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(+.f32 (+.f32 x x) (*.f32 (fma.f32 (neg.f32 (+.f32 x x)) (+.f32 x x) (+.f32 x x)) (+.f32 x x))) |
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(+.f32 (+.f32 x x) (*.f32 (*.f32 (+.f32 x x) -1) 1)) |
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(+.f32 (+.f32 x x) (*.f32 (neg.f32 (+.f32 x x)) 1)) |
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(+.f32 (+.f32 x x) (*.f32 (fma.f32 (neg.f32 (+.f32 x x)) 1 (+.f32 x x)) 1)) |
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(+.f32 (+.f32 x x) (*.f32 (fma.f32 (neg.f32 (+.f32 x x)) (+.f32 x x) (+.f32 x x)) 1)) |
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(+.f32 (+.f32 x x) (*.f32 (*.f32 (+.f32 x x) -1) (+.f32 x x))) |
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(+.f32 (+.f32 x x) (*.f32 (fma.f32 (neg.f32 (+.f32 x x)) 1 (+.f32 x x)) (+.f32 x x))) |
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(+.f32 (*.f32 x x) (*.f32 x x)) |
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(+.f32 (*.f32 x x) (+.f32 (+.f32 x x) (*.f32 x x))) |
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(+.f32 (+.f32 x (+.f32 x x)) x) |
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(+.f32 (+.f32 x (+.f32 x x)) (+.f32 x 1)) |
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(+.f32 (+.f32 x (+.f32 x x)) (+.f32 -1 x)) |
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(+.f32 0 (+.f32 x x)) |
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(+.f32 -1 (+.f32 x x)) |
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(+.f32 (neg.f32 x) (+.f32 x x)) |
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(+.f32 (*.f32 (+.f32 x (+.f32 x x)) (+.f32 x (+.f32 x x))) (+.f32 (+.f32 x x) (*.f32 x x))) |
-2 |
(+.f32 (+.f32 x 1) x) |
-2 |
(+.f32 (+.f32 x 1) (+.f32 x (+.f32 x x))) |
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(+.f32 (*.f32 (+.f32 x x) -1) (+.f32 x x)) |
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(+.f32 (neg.f32 (+.f32 x x)) (+.f32 x x)) |
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(+.f32 (-.f32 1 (*.f32 (+.f32 x x) -1)) (+.f32 x x)) |
-2 |
(+.f32 (+.f32 (+.f32 x x) (*.f32 x x)) (*.f32 x x)) |
-2 |
(+.f32 (+.f32 (+.f32 x x) (*.f32 x x)) (*.f32 (+.f32 x (+.f32 x x)) (+.f32 x (+.f32 x x)))) |
-2 |
(+.f32 (fma.f32 (neg.f32 (+.f32 x x)) 1 (+.f32 x x)) (+.f32 x x)) |
-2 |
(+.f32 (fma.f32 (neg.f32 (+.f32 x x)) (+.f32 x x) (+.f32 x x)) (+.f32 x x)) |
-2 |
(+.f32 (+.f32 1 (+.f32 x (+.f32 x x))) x) |
-2 |
(+.f32 (+.f32 (+.f32 x 1) (+.f32 x x)) x) |
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(+.f32 (+.f32 -1 x) x) |
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(+.f32 (-.f32 1 (/.f32 x (/.f32 0 x))) (/.f32 x (/.f32 0 x))) |
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(+.f32 (-.f32 (+.f32 x x) (/.f32 x (/.f32 0 x))) (/.f32 x (/.f32 0 x))) |
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(+.f32 (*.f32 (+.f32 x x) (+.f32 x 1)) (+.f32 x x)) |
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(+.f32 (*.f32 (neg.f32 (+.f32 x x)) -1) (+.f32 x x)) |
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(+.f32 (*.f32 1 (+.f32 x 1)) (+.f32 x (+.f32 x x))) |
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(+.f32 (*.f32 (+.f32 x 1) (+.f32 x x)) (+.f32 x x)) |
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(+.f32 (*.f32 (+.f32 x 1) 1) (+.f32 x (+.f32 x x))) |
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(-.f32 1 (+.f32 x x)) |
-2 |
(-.f32 (+.f32 x x) 1) |
-2 |
(-.f32 (+.f32 x x) (+.f32 x x)) |
-2 |
(-.f32 (+.f32 x x) 2) |
-2 |
(-.f32 (+.f32 x x) 0) |
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(-.f32 (+.f32 x x) -1) |
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(-.f32 (+.f32 x x) (*.f32 (+.f32 x x) -1)) |
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(-.f32 (+.f32 x x) (neg.f32 (+.f32 x x))) |
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(-.f32 (+.f32 x x) (-.f32 1 (*.f32 (+.f32 x x) -1))) |
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(-.f32 (+.f32 x x) (fma.f32 (neg.f32 (+.f32 x x)) (+.f32 x x) (+.f32 x x))) |
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(-.f32 (+.f32 x x) (-.f32 1 (neg.f32 (+.f32 x x)))) |
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(-.f32 (+.f32 x x) (-.f32 (+.f32 x x) (fma.f32 (neg.f32 (+.f32 x x)) 1 (+.f32 x x)))) |
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(-.f32 (+.f32 x x) (-.f32 -1 (fma.f32 (neg.f32 (+.f32 x x)) 1 (+.f32 x x)))) |
-2 |
(-.f32 (+.f32 x x) (-.f32 -1 (fma.f32 (neg.f32 (+.f32 x x)) (+.f32 x x) (+.f32 x x)))) |
-2 |
(-.f32 (+.f32 x (+.f32 x x)) (-.f32 1 x)) |
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(-.f32 (exp.f32 (log1p.f32 x)) (-.f32 1 (+.f32 x (+.f32 x x)))) |
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(-.f32 (exp.f32 (log1p.f32 x)) (-.f32 1 x)) |
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(-.f32 (/.f32 x (/.f32 0 x)) (/.f32 x (/.f32 0 x))) |
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(-.f32 (/.f32 x (/.f32 0 x)) (-.f32 (/.f32 x (/.f32 0 x)) (+.f32 x x))) |
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(-.f32 (/.f32 x (/.f32 0 x)) (-.f32 (/.f32 x (/.f32 0 x)) (*.f32 (+.f32 x x) -1))) |
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(-.f32 (/.f32 x (/.f32 0 x)) (-.f32 (/.f32 x (/.f32 0 x)) (neg.f32 (+.f32 x x)))) |
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(-.f32 (/.f32 x (/.f32 0 x)) (+.f32 (/.f32 x (/.f32 0 x)) (+.f32 x x))) |
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(-.f32 (+.f32 (+.f32 x x) (/.f32 x (/.f32 0 x))) (/.f32 x (/.f32 0 x))) |
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(-.f32 (+.f32 (+.f32 x (+.f32 x x)) (exp.f32 (log1p.f32 x))) 1) |
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(-.f32 (+.f32 x (exp.f32 (log1p.f32 x))) 1) |
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(-.f32 (+.f32 -1 (/.f32 x (/.f32 0 x))) (/.f32 x (/.f32 0 x))) |
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(-.f32 (+.f32 1 (/.f32 x (/.f32 0 x))) (/.f32 x (/.f32 0 x))) |
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(-.f32 (-.f32 1 (+.f32 x (+.f32 x x))) x) |
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(-.f32 (-.f32 1 x) x) |
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(-.f32 (-.f32 1 x) (+.f32 x (+.f32 x x))) |
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(-.f32 (-.f32 (+.f32 x x) x) x) |
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(-.f32 (-.f32 (+.f32 x x) x) (+.f32 x (+.f32 x x))) |
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(-.f32 (-.f32 (+.f32 x x) (+.f32 x (+.f32 x x))) x) |
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(*.f32 x (+.f32 x x)) |
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(*.f32 x 2) |
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(*.f32 x -2) |
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(*.f32 -1/2 (+.f32 x x)) |
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(*.f32 -1/2 (/.f32 1 x)) |
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(*.f32 1 (+.f32 x x)) |
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(*.f32 (+.f32 x x) x) |
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(*.f32 (+.f32 x x) -1/2) |
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(*.f32 (+.f32 x x) 1) |
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(*.f32 (+.f32 x x) (+.f32 x x)) |
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(*.f32 (+.f32 x x) (+.f32 x (+.f32 x x))) |
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(*.f32 (+.f32 x x) 2) |
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(*.f32 (+.f32 x x) (/.f32 1 x)) |
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(*.f32 (+.f32 x x) 1/2) |
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(*.f32 (+.f32 x x) (neg.f32 (+.f32 x x))) |
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(*.f32 (sqrt.f32 -1/2) (sqrt.f32 (/.f32 1 x))) |
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(*.f32 (sqrt.f32 x) (sqrt.f32 2)) |
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(*.f32 (sqrt.f32 x) (*.f32 (sqrt.f32 x) 2)) |
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(*.f32 (cbrt.f32 -1/2) (cbrt.f32 (/.f32 1 x))) |
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(*.f32 (cbrt.f32 x) (cbrt.f32 2)) |
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(*.f32 (cbrt.f32 x) (*.f32 (cbrt.f32 (*.f32 x x)) 2)) |
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(*.f32 (cbrt.f32 (*.f32 x x)) (*.f32 2 (cbrt.f32 x))) |
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(*.f32 1/4 (*.f32 (/.f32 1 x) (/.f32 1 x))) |
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(*.f32 -1/8 (pow.f32 (/.f32 1 x) 3)) |
-1/8 |
(*.f32 (*.f32 x x) 4) |
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(*.f32 (+.f32 x (+.f32 x x)) (+.f32 x x)) |
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(*.f32 2 x) |
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(*.f32 2 (+.f32 x x)) |
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(*.f32 -1 (neg.f32 (+.f32 x x))) |
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(*.f32 (/.f32 1 x) -1/2) |
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(*.f32 (/.f32 1 x) (+.f32 x x)) |
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(*.f32 (pow.f32 x 3) 8) |
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(*.f32 (*.f32 2 (pow.f32 x 3)) (/.f32 1 (fma.f32 x x 0))) |
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(*.f32 1/2 (+.f32 x x)) |
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(*.f32 1/2 (/.f32 -1 x)) |
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(*.f32 (sqrt.f32 2) (sqrt.f32 x)) |
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(*.f32 (sqrt.f32 (/.f32 1 x)) (sqrt.f32 -1/2)) |
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(*.f32 (cbrt.f32 2) (cbrt.f32 x)) |
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(*.f32 (cbrt.f32 (/.f32 1 x)) (cbrt.f32 -1/2)) |
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(*.f32 4 (*.f32 x x)) |
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(*.f32 (*.f32 (/.f32 1 x) (/.f32 1 x)) 1/4) |
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(*.f32 (*.f32 (sqrt.f32 x) 2) (sqrt.f32 x)) |
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(*.f32 (*.f32 2 (cbrt.f32 x)) (cbrt.f32 (*.f32 x x))) |
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(*.f32 (*.f32 (cbrt.f32 (*.f32 x x)) 2) (cbrt.f32 x)) |
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(*.f32 (neg.f32 (+.f32 x x)) (+.f32 x x)) |
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(*.f32 (pow.f32 (+.f32 x x) 3/2) (pow.f32 (+.f32 x x) 3/2)) |
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(*.f32 -2 (neg.f32 (neg.f32 x))) |
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(*.f32 (/.f32 1 0) 0) |
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(*.f32 (/.f32 -1 x) 1/2) |
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(*.f32 (pow.f32 (/.f32 1 x) 3) -1/8) |
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(*.f32 (/.f32 (+.f32 x x) (-.f32 (*.f32 x x) (*.f32 (+.f32 x (+.f32 x x)) (+.f32 x (+.f32 x x))))) (-.f32 0 (+.f32 x x))) |
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(*.f32 (/.f32 (+.f32 x x) (+.f32 (pow.f32 x 3) (pow.f32 (+.f32 x (+.f32 x x)) 3))) (-.f32 (+.f32 (*.f32 x x) (*.f32 (+.f32 x (+.f32 x x)) (+.f32 x (+.f32 x x)))) (+.f32 (+.f32 x x) (*.f32 x x)))) |
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(*.f32 (/.f32 (+.f32 x x) (*.f32 (+.f32 x x) (*.f32 2 (pow.f32 x 3)))) (*.f32 2 (pow.f32 x 3))) |
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(*.f32 (/.f32 (+.f32 x x) (neg.f32 (+.f32 x x))) (neg.f32 (+.f32 x x))) |
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(*.f32 (/.f32 (fma.f32 x x 0) (-.f32 (*.f32 (pow.f32 x 3) (pow.f32 x 3)) (*.f32 (pow.f32 x 3) (pow.f32 x 3)))) (-.f32 (pow.f32 x 3) (pow.f32 x 3))) |
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(*.f32 (/.f32 (*.f32 (+.f32 x x) (*.f32 2 (pow.f32 x 3))) (-.f32 (*.f32 (*.f32 x x) (*.f32 x x)) 0)) (-.f32 (*.f32 x x) 0)) |
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(*.f32 (/.f32 1 (sqrt.f32 0)) (sqrt.f32 0)) |
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(*.f32 (/.f32 1 (cbrt.f32 (*.f32 2 (pow.f32 x 3)))) (cbrt.f32 (fma.f32 x x 0))) |
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(*.f32 (/.f32 1 (*.f32 (*.f32 2 (pow.f32 x 3)) (*.f32 2 (pow.f32 x 3)))) (*.f32 (fma.f32 x x 0) (fma.f32 x x 0))) |
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(*.f32 (/.f32 1 (*.f32 (+.f32 x x) (*.f32 2 (pow.f32 x 3)))) (fma.f32 x x 0)) |
-2 |
(*.f32 (/.f32 1 (*.f32 0 (*.f32 2 (pow.f32 x 3)))) (*.f32 0 (fma.f32 x x 0))) |
-2 |
(*.f32 (/.f32 1 (neg.f32 (*.f32 2 (pow.f32 x 3)))) (neg.f32 (fma.f32 x x 0))) |
-2 |
(*.f32 (/.f32 1 (pow.f32 (*.f32 2 (pow.f32 x 3)) 3)) (pow.f32 (fma.f32 x x 0) 3)) |
-2 |
(*.f32 (/.f32 (*.f32 2 (pow.f32 x 3)) (-.f32 (*.f32 (*.f32 x x) (*.f32 x x)) 0)) (-.f32 (*.f32 x x) 0)) |
-2 |
(*.f32 (/.f32 (*.f32 2 (pow.f32 x 3)) (+.f32 0 (pow.f32 (*.f32 x x) 3))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (-.f32 0 (*.f32 (*.f32 x x) 0)))) |
-2 |
(*.f32 (/.f32 1 (-.f32 (*.f32 (+.f32 x x) (*.f32 2 (pow.f32 x 3))) (*.f32 2 (pow.f32 x 3)))) (*.f32 2 (pow.f32 x 3))) |
-2 |
(*.f32 (/.f32 (+.f32 x x) 0) 0) |
-2 |
(*.f32 (/.f32 (+.f32 x x) (-.f32 (*.f32 (+.f32 x x) (*.f32 2 (pow.f32 x 3))) (*.f32 2 (pow.f32 x 3)))) (*.f32 2 (pow.f32 x 3))) |
-2 |
(*.f32 (/.f32 1 (/.f32 -1/2 (sqrt.f32 x))) (sqrt.f32 x)) |
-2 |
(*.f32 (/.f32 1 (/.f32 -1/2 (cbrt.f32 (*.f32 x x)))) (cbrt.f32 x)) |
-2 |
(*.f32 (/.f32 (sqrt.f32 x) -1/2) (sqrt.f32 x)) |
-2 |
(*.f32 (/.f32 (cbrt.f32 (*.f32 x x)) -1/2) (cbrt.f32 x)) |
-2 |
(pow.f32 (+.f32 x x) 1) |
-2 |
(pow.f32 (+.f32 x x) 2) |
-2 |
(pow.f32 (+.f32 x x) -1) |
-2 |
(pow.f32 (+.f32 x x) 3) |
-2 |
(pow.f32 (+.f32 x x) 1/2) |
-2 |
(pow.f32 (+.f32 x x) 1/3) |
-2 |
(pow.f32 (E.f32) (log.f32 (+.f32 x x))) |
-2 |
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x x))) 2)) (cbrt.f32 (log.f32 (+.f32 x x)))) |
-2 |
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x x)))) (sqrt.f32 (log.f32 (+.f32 x x)))) |
-2 |
(sqrt.f32 (+.f32 x x)) |
-2 |
(fabs.f32 (+.f32 x x)) |
-2 |
(log.f32 (pow.f32 (exp.f32 2) x)) |
-2 |
(log.f32 (+.f32 1 (expm1.f32 (+.f32 x x)))) |
-2 |
(log.f32 (/.f32 (pow.f32 (exp.f32 2) x) (pow.f32 (exp.f32 2) x))) |
-2 |
(cbrt.f32 (+.f32 x x)) |
-2 |
(expm1.f32 (log.f32 (+.f32 x x))) |
(expm1.f32 -2) |
(hypot.f32 (+.f32 x x) (+.f32 x x)) |
(hypot.f32 -2 -2) |
(hypot.f32 (sqrt.f32 x) (sqrt.f32 x)) |
(hypot.f32 -2 -2) |
(exp.f32 (log.f32 (+.f32 x x))) |
-2 |
(exp.f32 (*.f32 (log.f32 (+.f32 x x)) 3)) |
-2 |
(log1p.f32 (expm1.f32 (+.f32 x x))) |
-2 |
(fma.f32 -1/2 (/.f32 1 x) 1) |
-2 |
(fma.f32 -1/2 (/.f32 1 x) -1) |
-2 |
(fma.f32 1 x x) |
-2 |
(fma.f32 1 x (+.f32 x (+.f32 x x))) |
-2 |
(fma.f32 1 (+.f32 x x) 1) |
-2 |
(fma.f32 1 (+.f32 x x) (+.f32 x x)) |
-2 |
(fma.f32 1 (+.f32 x x) -1) |
-2 |
(fma.f32 1 (+.f32 x x) (neg.f32 (+.f32 x x))) |
-2 |
(fma.f32 (+.f32 x x) (+.f32 x x) 1) |
-2 |
(fma.f32 (+.f32 x x) (+.f32 x x) (+.f32 x x)) |
-2 |
(fma.f32 (+.f32 x x) (+.f32 x x) -1) |
-2 |
(fma.f32 (+.f32 x x) (+.f32 x x) (neg.f32 (+.f32 x x))) |
-2 |
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) x) |
-2 |
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) (+.f32 x (+.f32 x x))) |
-2 |
(fma.f32 (cbrt.f32 (*.f32 x x)) (cbrt.f32 x) x) |
-2 |
(fma.f32 (cbrt.f32 (*.f32 x x)) (cbrt.f32 x) (+.f32 x (+.f32 x x))) |
-2 |
(fma.f32 2 x (+.f32 x x)) |
-2 |
(fma.f32 2 x (neg.f32 (+.f32 x x))) |
-2 |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.78% | (+.f32 (log.f32 2) (log.f32 x)) |
Compiled 12 to 8 computations (33.3% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | 0 | (+.f32 (log.f32 2) (log.f32 x)) |
| 0.0ms | x | @ | -inf | (+.f32 (log.f32 2) (log.f32 x)) |
| 0.0ms | x | @ | inf | (+.f32 (log.f32 2) (log.f32 x)) |
| 1× | batch-egg-rewrite |
| 1628× | add-sqr-sqrt |
| 1608× | *-un-lft-identity |
| 1504× | add-cube-cbrt |
| 1488× | add-cbrt-cube |
| 162× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 11 |
| 1 | 163 | 11 |
| 2 | 2022 | 11 |
| 1× | node limit |
| Inputs |
|---|
(+.f32 (log.f32 2) (log.f32 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (log.f32 (*.f32 2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (pow.f32 (log.f32 2) 2) (log.f32 (/.f32 2 x))) (/.f32 (pow.f32 (log.f32 x) 2) (log.f32 (/.f32 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log.f32 (*.f32 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log.f32 (*.f32 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log.f32 (*.f32 2 x))) (sqrt.f32 (log.f32 (*.f32 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log.f32 (*.f32 2 x))) (pow.f32 (cbrt.f32 (log.f32 (*.f32 2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (log.f32 (*.f32 2 x))) 2) (cbrt.f32 (log.f32 (*.f32 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 (pow.f32 (log.f32 2) 2) (pow.f32 (log.f32 x) 2)) (/.f32 1 (log.f32 (/.f32 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3)) (/.f32 1 (+.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (log.f32 (/.f32 2 x)) (-.f32 (pow.f32 (log.f32 2) 2) (pow.f32 (log.f32 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (+.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2)))) (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (pow.f32 (log.f32 2) 2) (pow.f32 (log.f32 x) 2)) (log.f32 (/.f32 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3)) (+.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3)) (+.f32 (pow.f32 (log.f32 x) 2) (-.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 2) (log.f32 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (pow.f32 (log.f32 x) 2) (pow.f32 (log.f32 2) 2)) (-.f32 (log.f32 x) (log.f32 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (-.f32 (pow.f32 (log.f32 2) 2) (pow.f32 (log.f32 x) 2))) (neg.f32 (log.f32 (/.f32 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3))) (neg.f32 (+.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log.f32 (*.f32 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log.f32 (*.f32 2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log.f32 (*.f32 2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log.f32 (*.f32 2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log.f32 (*.f32 2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (*.f32 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (-.f32 (*.f32 2 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log.f32 (*.f32 2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log.f32 (*.f32 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log.f32 (*.f32 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (log.f32 (*.f32 2 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (-.f32 (*.f32 2 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (log.f32 2) (log.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (log.f32 x) (log.f32 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (log.f32 2)) (sqrt.f32 (log.f32 2)) (log.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (log.f32 x)) (sqrt.f32 (log.f32 x)) (log.f32 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (log.f32 2)) 2) (cbrt.f32 (log.f32 2)) (log.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (log.f32 x)) 2) (cbrt.f32 (log.f32 x)) (log.f32 2)))))) |
| 1× | egg-herbie |
| 1190× | associate-*r* |
| 1080× | associate-*l* |
| 892× | associate-+r+ |
| 592× | associate-+l+ |
| 574× | distribute-lft-neg-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 100 | 1429 |
| 1 | 233 | 1035 |
| 2 | 799 | 1015 |
| 3 | 4518 | 1015 |
| 1× | node limit |
| Inputs |
|---|
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x)))) |
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x)))) |
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x)))) |
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x)))) |
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 2) (log.f32 -1))) |
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 2) (log.f32 -1))) |
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 2) (log.f32 -1))) |
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 2) (log.f32 -1))) |
(-.f32 (exp.f32 (log1p.f32 (log.f32 (*.f32 2 x)))) 1) |
(-.f32 (/.f32 (pow.f32 (log.f32 2) 2) (log.f32 (/.f32 2 x))) (/.f32 (pow.f32 (log.f32 x) 2) (log.f32 (/.f32 2 x)))) |
(*.f32 (log.f32 (*.f32 2 x)) 1) |
(*.f32 1 (log.f32 (*.f32 2 x))) |
(*.f32 (sqrt.f32 (log.f32 (*.f32 2 x))) (sqrt.f32 (log.f32 (*.f32 2 x)))) |
(*.f32 (cbrt.f32 (log.f32 (*.f32 2 x))) (pow.f32 (cbrt.f32 (log.f32 (*.f32 2 x))) 2)) |
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (*.f32 2 x))) 2) (cbrt.f32 (log.f32 (*.f32 2 x)))) |
(*.f32 (-.f32 (pow.f32 (log.f32 2) 2) (pow.f32 (log.f32 x) 2)) (/.f32 1 (log.f32 (/.f32 2 x)))) |
(*.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3)) (/.f32 1 (+.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2)))))) |
(/.f32 1 (/.f32 (log.f32 (/.f32 2 x)) (-.f32 (pow.f32 (log.f32 2) 2) (pow.f32 (log.f32 x) 2)))) |
(/.f32 1 (/.f32 (+.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2)))) (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3)))) |
(/.f32 (-.f32 (pow.f32 (log.f32 2) 2) (pow.f32 (log.f32 x) 2)) (log.f32 (/.f32 2 x))) |
(/.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3)) (+.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2))))) |
(/.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3)) (+.f32 (pow.f32 (log.f32 x) 2) (-.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 2) (log.f32 x))))) |
(/.f32 (-.f32 (pow.f32 (log.f32 x) 2) (pow.f32 (log.f32 2) 2)) (-.f32 (log.f32 x) (log.f32 2))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (log.f32 2) 2) (pow.f32 (log.f32 x) 2))) (neg.f32 (log.f32 (/.f32 2 x)))) |
(/.f32 (neg.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3))) (neg.f32 (+.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2)))))) |
(pow.f32 (log.f32 (*.f32 2 x)) 1) |
(pow.f32 (sqrt.f32 (log.f32 (*.f32 2 x))) 2) |
(pow.f32 (cbrt.f32 (log.f32 (*.f32 2 x))) 3) |
(pow.f32 (pow.f32 (log.f32 (*.f32 2 x)) 3) 1/3) |
(sqrt.f32 (pow.f32 (log.f32 (*.f32 2 x)) 2)) |
(log.f32 (*.f32 2 x)) |
(log.f32 (+.f32 1 (-.f32 (*.f32 2 x) 1))) |
(cbrt.f32 (pow.f32 (log.f32 (*.f32 2 x)) 3)) |
(expm1.f32 (log1p.f32 (log.f32 (*.f32 2 x)))) |
(exp.f32 (log.f32 (log.f32 (*.f32 2 x)))) |
(exp.f32 (*.f32 (log.f32 (log.f32 (*.f32 2 x))) 1)) |
(log1p.f32 (-.f32 (*.f32 2 x) 1)) |
(fma.f32 1 (log.f32 2) (log.f32 x)) |
(fma.f32 1 (log.f32 x) (log.f32 2)) |
(fma.f32 (sqrt.f32 (log.f32 2)) (sqrt.f32 (log.f32 2)) (log.f32 x)) |
(fma.f32 (sqrt.f32 (log.f32 x)) (sqrt.f32 (log.f32 x)) (log.f32 2)) |
(fma.f32 (pow.f32 (cbrt.f32 (log.f32 2)) 2) (cbrt.f32 (log.f32 2)) (log.f32 x)) |
(fma.f32 (pow.f32 (cbrt.f32 (log.f32 x)) 2) (cbrt.f32 (log.f32 x)) (log.f32 2)) |
| Outputs |
|---|
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x)))) |
(+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x)))) |
(log.f32 (*.f32 2 x)) |
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x)))) |
(+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x)))) |
(log.f32 (*.f32 2 x)) |
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x)))) |
(+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x)))) |
(log.f32 (*.f32 2 x)) |
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x)))) |
(+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x)))) |
(log.f32 (*.f32 2 x)) |
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 2) (log.f32 -1))) |
(fma.f32 -1 (log.f32 (/.f32 -1 x)) (+.f32 (log.f32 2) (log.f32 -1))) |
(-.f32 (+.f32 (log.f32 2) (log.f32 -1)) (log.f32 (/.f32 -1 x))) |
(+.f32 (log.f32 2) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 x)))) |
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 2) (log.f32 -1))) |
(fma.f32 -1 (log.f32 (/.f32 -1 x)) (+.f32 (log.f32 2) (log.f32 -1))) |
(-.f32 (+.f32 (log.f32 2) (log.f32 -1)) (log.f32 (/.f32 -1 x))) |
(+.f32 (log.f32 2) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 x)))) |
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 2) (log.f32 -1))) |
(fma.f32 -1 (log.f32 (/.f32 -1 x)) (+.f32 (log.f32 2) (log.f32 -1))) |
(-.f32 (+.f32 (log.f32 2) (log.f32 -1)) (log.f32 (/.f32 -1 x))) |
(+.f32 (log.f32 2) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 x)))) |
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 2) (log.f32 -1))) |
(fma.f32 -1 (log.f32 (/.f32 -1 x)) (+.f32 (log.f32 2) (log.f32 -1))) |
(-.f32 (+.f32 (log.f32 2) (log.f32 -1)) (log.f32 (/.f32 -1 x))) |
(+.f32 (log.f32 2) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 x)))) |
(-.f32 (exp.f32 (log1p.f32 (log.f32 (*.f32 2 x)))) 1) |
(+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x)))) |
(log.f32 (*.f32 2 x)) |
(-.f32 (/.f32 (pow.f32 (log.f32 2) 2) (log.f32 (/.f32 2 x))) (/.f32 (pow.f32 (log.f32 x) 2) (log.f32 (/.f32 2 x)))) |
(/.f32 (-.f32 (pow.f32 (log.f32 2) 2) (pow.f32 (log.f32 x) 2)) (log.f32 (/.f32 2 x))) |
(*.f32 (log.f32 (*.f32 2 x)) (/.f32 (log.f32 (/.f32 2 x)) (log.f32 (/.f32 2 x)))) |
(*.f32 (log.f32 (*.f32 2 x)) 1) |
(+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x)))) |
(log.f32 (*.f32 2 x)) |
(*.f32 1 (log.f32 (*.f32 2 x))) |
(+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x)))) |
(log.f32 (*.f32 2 x)) |
(*.f32 (sqrt.f32 (log.f32 (*.f32 2 x))) (sqrt.f32 (log.f32 (*.f32 2 x)))) |
(+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x)))) |
(log.f32 (*.f32 2 x)) |
(*.f32 (cbrt.f32 (log.f32 (*.f32 2 x))) (pow.f32 (cbrt.f32 (log.f32 (*.f32 2 x))) 2)) |
(+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x)))) |
(log.f32 (*.f32 2 x)) |
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (*.f32 2 x))) 2) (cbrt.f32 (log.f32 (*.f32 2 x)))) |
(+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x)))) |
(log.f32 (*.f32 2 x)) |
(*.f32 (-.f32 (pow.f32 (log.f32 2) 2) (pow.f32 (log.f32 x) 2)) (/.f32 1 (log.f32 (/.f32 2 x)))) |
(/.f32 (-.f32 (pow.f32 (log.f32 2) 2) (pow.f32 (log.f32 x) 2)) (log.f32 (/.f32 2 x))) |
(*.f32 (log.f32 (*.f32 2 x)) (/.f32 (log.f32 (/.f32 2 x)) (log.f32 (/.f32 2 x)))) |
(*.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3)) (/.f32 1 (+.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2)))))) |
(/.f32 (*.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3)) 1) (+.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2))))) |
(/.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3)) (fma.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2)) (pow.f32 (log.f32 2) 2))) |
(/.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3)) (fma.f32 (log.f32 2) (log.f32 (/.f32 2 x)) (pow.f32 (log.f32 x) 2))) |
(/.f32 1 (/.f32 (log.f32 (/.f32 2 x)) (-.f32 (pow.f32 (log.f32 2) 2) (pow.f32 (log.f32 x) 2)))) |
(/.f32 (-.f32 (pow.f32 (log.f32 2) 2) (pow.f32 (log.f32 x) 2)) (log.f32 (/.f32 2 x))) |
(*.f32 (log.f32 (*.f32 2 x)) (/.f32 (log.f32 (/.f32 2 x)) (log.f32 (/.f32 2 x)))) |
(/.f32 1 (/.f32 (+.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2)))) (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3)))) |
(/.f32 (*.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3)) 1) (+.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2))))) |
(/.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3)) (fma.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2)) (pow.f32 (log.f32 2) 2))) |
(/.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3)) (fma.f32 (log.f32 2) (log.f32 (/.f32 2 x)) (pow.f32 (log.f32 x) 2))) |
(/.f32 (-.f32 (pow.f32 (log.f32 2) 2) (pow.f32 (log.f32 x) 2)) (log.f32 (/.f32 2 x))) |
(*.f32 (log.f32 (*.f32 2 x)) (/.f32 (log.f32 (/.f32 2 x)) (log.f32 (/.f32 2 x)))) |
(/.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3)) (+.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2))))) |
(/.f32 (*.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3)) 1) (+.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2))))) |
(/.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3)) (fma.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2)) (pow.f32 (log.f32 2) 2))) |
(/.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3)) (fma.f32 (log.f32 2) (log.f32 (/.f32 2 x)) (pow.f32 (log.f32 x) 2))) |
(/.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3)) (+.f32 (pow.f32 (log.f32 x) 2) (-.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 2) (log.f32 x))))) |
(/.f32 (*.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3)) 1) (+.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2))))) |
(/.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3)) (fma.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2)) (pow.f32 (log.f32 2) 2))) |
(/.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3)) (fma.f32 (log.f32 2) (log.f32 (/.f32 2 x)) (pow.f32 (log.f32 x) 2))) |
(/.f32 (-.f32 (pow.f32 (log.f32 x) 2) (pow.f32 (log.f32 2) 2)) (-.f32 (log.f32 x) (log.f32 2))) |
(/.f32 (-.f32 (pow.f32 (log.f32 2) 2) (pow.f32 (log.f32 x) 2)) (log.f32 (/.f32 2 x))) |
(*.f32 (log.f32 (*.f32 2 x)) (/.f32 (log.f32 (/.f32 2 x)) (log.f32 (/.f32 2 x)))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (log.f32 2) 2) (pow.f32 (log.f32 x) 2))) (neg.f32 (log.f32 (/.f32 2 x)))) |
(/.f32 (-.f32 (pow.f32 (log.f32 2) 2) (pow.f32 (log.f32 x) 2)) (log.f32 (/.f32 2 x))) |
(*.f32 (log.f32 (*.f32 2 x)) (/.f32 (log.f32 (/.f32 2 x)) (log.f32 (/.f32 2 x)))) |
(/.f32 (neg.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3))) (neg.f32 (+.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2)))))) |
(/.f32 (*.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3)) 1) (+.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2))))) |
(/.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3)) (fma.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2)) (pow.f32 (log.f32 2) 2))) |
(/.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3)) (fma.f32 (log.f32 2) (log.f32 (/.f32 2 x)) (pow.f32 (log.f32 x) 2))) |
(pow.f32 (log.f32 (*.f32 2 x)) 1) |
(+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x)))) |
(log.f32 (*.f32 2 x)) |
(pow.f32 (sqrt.f32 (log.f32 (*.f32 2 x))) 2) |
(+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x)))) |
(log.f32 (*.f32 2 x)) |
(pow.f32 (cbrt.f32 (log.f32 (*.f32 2 x))) 3) |
(+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x)))) |
(log.f32 (*.f32 2 x)) |
(pow.f32 (pow.f32 (log.f32 (*.f32 2 x)) 3) 1/3) |
(+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x)))) |
(log.f32 (*.f32 2 x)) |
(sqrt.f32 (pow.f32 (log.f32 (*.f32 2 x)) 2)) |
(+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x)))) |
(log.f32 (*.f32 2 x)) |
(log.f32 (*.f32 2 x)) |
(+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x)))) |
(log.f32 (+.f32 1 (-.f32 (*.f32 2 x) 1))) |
(+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x)))) |
(log.f32 (*.f32 2 x)) |
(cbrt.f32 (pow.f32 (log.f32 (*.f32 2 x)) 3)) |
(+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x)))) |
(log.f32 (*.f32 2 x)) |
(expm1.f32 (log1p.f32 (log.f32 (*.f32 2 x)))) |
(+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x)))) |
(log.f32 (*.f32 2 x)) |
(exp.f32 (log.f32 (log.f32 (*.f32 2 x)))) |
(+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x)))) |
(log.f32 (*.f32 2 x)) |
(exp.f32 (*.f32 (log.f32 (log.f32 (*.f32 2 x))) 1)) |
(+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x)))) |
(log.f32 (*.f32 2 x)) |
(log1p.f32 (-.f32 (*.f32 2 x) 1)) |
(+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x)))) |
(log.f32 (*.f32 2 x)) |
(fma.f32 1 (log.f32 2) (log.f32 x)) |
(+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x)))) |
(log.f32 (*.f32 2 x)) |
(fma.f32 1 (log.f32 x) (log.f32 2)) |
(+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x)))) |
(log.f32 (*.f32 2 x)) |
(fma.f32 (sqrt.f32 (log.f32 2)) (sqrt.f32 (log.f32 2)) (log.f32 x)) |
(+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x)))) |
(log.f32 (*.f32 2 x)) |
(fma.f32 (sqrt.f32 (log.f32 x)) (sqrt.f32 (log.f32 x)) (log.f32 2)) |
(+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x)))) |
(log.f32 (*.f32 2 x)) |
(fma.f32 (pow.f32 (cbrt.f32 (log.f32 2)) 2) (cbrt.f32 (log.f32 2)) (log.f32 x)) |
(+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x)))) |
(log.f32 (*.f32 2 x)) |
(fma.f32 (pow.f32 (cbrt.f32 (log.f32 x)) 2) (cbrt.f32 (log.f32 x)) (log.f32 2)) |
(+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x)))) |
(log.f32 (*.f32 2 x)) |
Compiled 12789 to 6750 computations (47.2% saved)
18 alts after pruning (8 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1029 | 5 | 1034 |
| Fresh | 0 | 3 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 9 | 9 |
| Total | 1029 | 18 | 1047 |
| Status | Error | Program |
|---|---|---|
| ▶ | 2.23% | (+.f32 (+.f32 (log.f32 2) (log.f32 x)) (/.f32 -1/4 (*.f32 x x))) |
| ✓ | 3.03% | (+.f32 (log.f32 2) (log.f32 x)) |
| ▶ | 91.92% | (log1p.f32 (/.f32 (/.f32 1/4 x) x)) |
| ▶ | 89.81% | (log1p.f32 (/.f32 2 (+.f32 x x))) |
| ✓ | 2.68% | (log1p.f32 (-.f32 (+.f32 x x) 1)) |
| ✓ | 1.81% | (log1p.f32 (+.f32 (+.f32 x x) (-.f32 (/.f32 -1/2 x) 1))) |
| 91.92% | (log1p.f32 (*.f32 (*.f32 (/.f32 1 x) (/.f32 1 x)) 1/4)) | |
| ▶ | 81.24% | (log1p.f32 1/8) |
| ✓ | 1.79% | (log.f32 (/.f32 1 (/.f32 1 (+.f32 (/.f32 -1/2 x) (+.f32 x x))))) |
| ▶ | 2.68% | (log.f32 (/.f32 1 (/.f32 1/2 x))) |
| ✓ | 1.77% | (log.f32 (-.f32 (*.f32 x 2) (/.f32 1/2 x))) |
| ✓ | 1.76% | (log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x)))) |
| ✓ | 52.03% | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1)))) |
| 52.01% | (log.f32 (+.f32 x (sqrt.f32 (+.f32 (+.f32 (neg.f32 (+.f32 x 1)) (*.f32 x x)) x)))) | |
| ✓ | 51.99% | (log.f32 (+.f32 x (sqrt.f32 (*.f32 (+.f32 x 1) (+.f32 x -1))))) |
| ✓ | 2.65% | (log.f32 (+.f32 x x)) |
| ✓ | 55.77% | (log.f32 x) |
| 93.89% | 0 |
Compiled 211 to 158 computations (25.1% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.09% | (+.f32 (+.f32 (log.f32 2) (log.f32 x)) (/.f32 -1/4 (*.f32 x x))) |
| 0.78% | (+.f32 (log.f32 2) (log.f32 x)) | |
| ✓ | 3.3% | (/.f32 -1/4 (*.f32 x x)) |
Compiled 32 to 18 computations (43.8% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f32 -1/4 (*.f32 x x)) |
| 0.0ms | x | @ | inf | (/.f32 -1/4 (*.f32 x x)) |
| 0.0ms | x | @ | 0 | (+.f32 (+.f32 (log.f32 2) (log.f32 x)) (/.f32 -1/4 (*.f32 x x))) |
| 0.0ms | x | @ | -inf | (+.f32 (+.f32 (log.f32 2) (log.f32 x)) (/.f32 -1/4 (*.f32 x x))) |
| 0.0ms | x | @ | inf | (+.f32 (+.f32 (log.f32 2) (log.f32 x)) (/.f32 -1/4 (*.f32 x x))) |
| 1× | batch-egg-rewrite |
| 1242× | distribute-rgt-in |
| 1214× | distribute-lft-in |
| 926× | associate-/r* |
| 388× | associate-/l* |
| 374× | associate-/r/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 42 |
| 1 | 264 | 38 |
| 2 | 3690 | 38 |
| 1× | node limit |
| Inputs |
|---|
(/.f32 -1/4 (*.f32 x x)) |
(+.f32 (+.f32 (log.f32 2) (log.f32 x)) (/.f32 -1/4 (*.f32 x x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 -1/4 (pow.f32 x -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1/4 (pow.f32 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 -1/4 (pow.f32 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (*.f32 -1/4 (pow.f32 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sqrt.f32 -1/4) x) (/.f32 (sqrt.f32 -1/4) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (*.f32 -1/4 (pow.f32 x -2))) (cbrt.f32 (/.f32 1/16 (pow.f32 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (/.f32 1/16 (pow.f32 x 4))) (cbrt.f32 (*.f32 -1/4 (pow.f32 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -1/4 x) (/.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 x -2) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/4 (/.f32 -1 (*.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 x) (/.f32 -1/4 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (cbrt.f32 (pow.f32 x 4))) (/.f32 -1/4 (pow.f32 (cbrt.f32 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -1 (*.f32 x x)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 -1/4 (pow.f32 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (sqrt.f32 -1/4) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 -1/4 (pow.f32 x -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (*.f32 x x) -4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 -1/64 (pow.f32 (pow.f32 x -2) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (/.f32 1/16 (pow.f32 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 -1/4) (pow.f32 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 -1/4 (pow.f32 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 -1/64 (pow.f32 (pow.f32 x -2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 -1/4 (pow.f32 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 -1/4 (pow.f32 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 -1/4 (pow.f32 x -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 -1/4 (pow.f32 x -2)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 -1/4 (pow.f32 x -2)))) (-.f32 1 (log.f32 (*.f32 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (log.f32 (*.f32 x 2)))) (-.f32 1 (*.f32 -1/4 (pow.f32 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (log.f32 x))) (-.f32 1 (+.f32 (*.f32 -1/4 (pow.f32 x -2)) (log.f32 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (fma.f32 -1/4 (pow.f32 x -2) (log.f32 (*.f32 x 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (log.f32 2))) (-.f32 1 (+.f32 (*.f32 -1/4 (pow.f32 x -2)) (log.f32 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (log.f32 2))) (-.f32 1 (*.f32 (+.f32 (*.f32 -1/4 (pow.f32 x -2)) (log.f32 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (pow.f32 (log.f32 2) 2) (log.f32 (/.f32 2 x))) (-.f32 (/.f32 (pow.f32 (log.f32 x) 2) (log.f32 (/.f32 2 x))) (*.f32 -1/4 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(#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (/.f32 1/16 (pow.f32 x 4))) (cbrt.f32 (*.f32 -1/4 (pow.f32 x -2))) (log.f32 (*.f32 x 2))))))) |
| 1× | egg-herbie |
| 1200× | associate-+r+ |
| 1164× | associate-+l+ |
| 1046× | +-commutative |
| 808× | associate-*r* |
| 636× | associate-*l* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 445 | 11307 |
| 1 | 1328 | 10683 |
| 2 | 5767 | 10677 |
| 1× | node limit |
| Inputs |
|---|
(/.f32 -1/4 (pow.f32 x 2)) |
(/.f32 -1/4 (pow.f32 x 2)) |
(/.f32 -1/4 (pow.f32 x 2)) |
(/.f32 -1/4 (pow.f32 x 2)) |
(/.f32 -1/4 (pow.f32 x 2)) |
(/.f32 -1/4 (pow.f32 x 2)) |
(/.f32 -1/4 (pow.f32 x 2)) |
(/.f32 -1/4 (pow.f32 x 2)) |
(/.f32 -1/4 (pow.f32 x 2)) |
(/.f32 -1/4 (pow.f32 x 2)) |
(/.f32 -1/4 (pow.f32 x 2)) |
(/.f32 -1/4 (pow.f32 x 2)) |
(/.f32 -1/4 (pow.f32 x 2)) |
(-.f32 (+.f32 (log.f32 2) (log.f32 x)) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))) |
(-.f32 (+.f32 (log.f32 2) (log.f32 x)) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))) |
(-.f32 (+.f32 (log.f32 2) (log.f32 x)) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))) |
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x)))) |
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(/.f32 (-.f32 (pow.f32 (pow.f32 (log.f32 (*.f32 x 2)) 2) 3) (pow.f32 (/.f32 1/16 (pow.f32 x 4)) 3)) (*.f32 (+.f32 (log.f32 (*.f32 x 2)) (*.f32 1/4 (pow.f32 x -2))) (+.f32 (*.f32 (pow.f32 (log.f32 (*.f32 x 2)) 2) (pow.f32 (log.f32 (*.f32 x 2)) 2)) (+.f32 (*.f32 (/.f32 1/16 (pow.f32 x 4)) (/.f32 1/16 (pow.f32 x 4))) (*.f32 (pow.f32 (log.f32 (*.f32 x 2)) 2) (/.f32 1/16 (pow.f32 x 4))))))) |
(/.f32 (+.f32 (*.f32 -1/4 (log.f32 (/.f32 2 x))) (*.f32 (*.f32 x x) (-.f32 (pow.f32 (log.f32 2) 2) (pow.f32 (log.f32 x) 2)))) (*.f32 (*.f32 x x) (log.f32 (/.f32 2 x)))) |
(/.f32 (+.f32 (*.f32 -1/4 (+.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2))))) (*.f32 (*.f32 x x) (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3)))) (*.f32 (*.f32 x x) (+.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2)))))) |
(/.f32 (+.f32 (log.f32 (/.f32 2 x)) (*.f32 (*.f32 (*.f32 x x) -4) (-.f32 (pow.f32 (log.f32 2) 2) (pow.f32 (log.f32 x) 2)))) (*.f32 (*.f32 (*.f32 x x) -4) (log.f32 (/.f32 2 x)))) |
(/.f32 (+.f32 (+.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2)))) (*.f32 (*.f32 (*.f32 x x) -4) (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3)))) (*.f32 (*.f32 (*.f32 x x) -4) (+.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2)))))) |
(/.f32 (+.f32 (*.f32 (/.f32 -1/4 x) (log.f32 (/.f32 2 x))) (*.f32 x (-.f32 (pow.f32 (log.f32 2) 2) (pow.f32 (log.f32 x) 2)))) (*.f32 x (log.f32 (/.f32 2 x)))) |
(/.f32 (+.f32 (*.f32 (/.f32 -1/4 x) (+.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2))))) (*.f32 x (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3)))) (*.f32 x (+.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2)))))) |
(/.f32 (+.f32 (*.f32 1/4 (log.f32 (/.f32 2 x))) (*.f32 (*.f32 x (neg.f32 x)) (-.f32 (pow.f32 (log.f32 2) 2) (pow.f32 (log.f32 x) 2)))) (*.f32 (*.f32 x (neg.f32 x)) (log.f32 (/.f32 2 x)))) |
(/.f32 (+.f32 (*.f32 1/4 (+.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2))))) (*.f32 (*.f32 x (neg.f32 x)) (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3)))) (*.f32 (*.f32 x (neg.f32 x)) (+.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2)))))) |
(/.f32 (+.f32 (*.f32 (-.f32 (pow.f32 (log.f32 2) 2) (pow.f32 (log.f32 x) 2)) (*.f32 x x)) (*.f32 (log.f32 (/.f32 2 x)) -1/4)) (*.f32 (log.f32 (/.f32 2 x)) (*.f32 x x))) |
(/.f32 (+.f32 (*.f32 (-.f32 (pow.f32 (log.f32 2) 2) (pow.f32 (log.f32 x) 2)) (*.f32 (*.f32 x x) -4)) (*.f32 (log.f32 (/.f32 2 x)) 1)) (*.f32 (log.f32 (/.f32 2 x)) (*.f32 (*.f32 x x) -4))) |
(/.f32 (+.f32 (*.f32 (-.f32 (pow.f32 (log.f32 2) 2) (pow.f32 (log.f32 x) 2)) x) (*.f32 (log.f32 (/.f32 2 x)) (/.f32 -1/4 x))) (*.f32 (log.f32 (/.f32 2 x)) x)) |
(/.f32 (+.f32 (*.f32 (-.f32 (pow.f32 (log.f32 2) 2) (pow.f32 (log.f32 x) 2)) (*.f32 x (neg.f32 x))) (*.f32 (log.f32 (/.f32 2 x)) 1/4)) (*.f32 (log.f32 (/.f32 2 x)) (*.f32 x (neg.f32 x)))) |
(/.f32 (+.f32 (*.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3)) (*.f32 x x)) (*.f32 (+.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2)))) -1/4)) (*.f32 (+.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2)))) (*.f32 x x))) |
(/.f32 (+.f32 (*.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3)) (*.f32 (*.f32 x x) -4)) (*.f32 (+.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2)))) 1)) (*.f32 (+.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2)))) (*.f32 (*.f32 x x) -4))) |
(/.f32 (+.f32 (*.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3)) x) (*.f32 (+.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2)))) (/.f32 -1/4 x))) (*.f32 (+.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2)))) x)) |
(/.f32 (+.f32 (*.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3)) (*.f32 x (neg.f32 x))) (*.f32 (+.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2)))) 1/4)) (*.f32 (+.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2)))) (*.f32 x (neg.f32 x)))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (log.f32 (*.f32 x 2)) 2) (/.f32 1/16 (pow.f32 x 4)))) (neg.f32 (+.f32 (log.f32 (*.f32 x 2)) (*.f32 1/4 (pow.f32 x -2))))) |
(/.f32 (neg.f32 (+.f32 (pow.f32 (log.f32 (*.f32 x 2)) 3) (*.f32 -1/64 (pow.f32 (pow.f32 x -2) 3)))) (neg.f32 (+.f32 (pow.f32 (log.f32 (*.f32 x 2)) 2) (-.f32 (/.f32 1/16 (pow.f32 x 4)) (*.f32 (*.f32 -1/4 (pow.f32 x -2)) (log.f32 (*.f32 x 2))))))) |
(/.f32 (/.f32 (-.f32 (pow.f32 (log.f32 (*.f32 x 2)) 2) (/.f32 1/16 (pow.f32 x 4))) 1) (+.f32 (log.f32 (*.f32 x 2)) (*.f32 1/4 (pow.f32 x -2)))) |
(/.f32 (/.f32 (-.f32 (pow.f32 (log.f32 (*.f32 x 2)) 2) (/.f32 1/16 (pow.f32 x 4))) (sqrt.f32 (+.f32 (log.f32 (*.f32 x 2)) (*.f32 1/4 (pow.f32 x -2))))) (sqrt.f32 (+.f32 (log.f32 (*.f32 x 2)) (*.f32 1/4 (pow.f32 x -2))))) |
(/.f32 (/.f32 (-.f32 (pow.f32 (log.f32 (*.f32 x 2)) 2) (/.f32 1/16 (pow.f32 x 4))) (*.f32 (cbrt.f32 (+.f32 (log.f32 (*.f32 x 2)) (*.f32 1/4 (pow.f32 x -2)))) (cbrt.f32 (+.f32 (log.f32 (*.f32 x 2)) (*.f32 1/4 (pow.f32 x -2)))))) (cbrt.f32 (+.f32 (log.f32 (*.f32 x 2)) (*.f32 1/4 (pow.f32 x -2))))) |
(/.f32 (/.f32 (-.f32 (pow.f32 (log.f32 (*.f32 x 2)) 2) (/.f32 1/16 (pow.f32 x 4))) (+.f32 (sqrt.f32 (log.f32 (*.f32 x 2))) (/.f32 (sqrt.f32 -1/4) x))) (-.f32 (sqrt.f32 (log.f32 (*.f32 x 2))) (/.f32 (sqrt.f32 -1/4) x))) |
(/.f32 (/.f32 (+.f32 (pow.f32 (log.f32 (*.f32 x 2)) 3) (*.f32 -1/64 (pow.f32 (pow.f32 x -2) 3))) 1) (+.f32 (pow.f32 (log.f32 (*.f32 x 2)) 2) (-.f32 (/.f32 1/16 (pow.f32 x 4)) (*.f32 (*.f32 -1/4 (pow.f32 x -2)) (log.f32 (*.f32 x 2)))))) |
(/.f32 (/.f32 (+.f32 (pow.f32 (log.f32 (*.f32 x 2)) 3) (*.f32 -1/64 (pow.f32 (pow.f32 x -2) 3))) (sqrt.f32 (+.f32 (pow.f32 (log.f32 (*.f32 x 2)) 2) (-.f32 (/.f32 1/16 (pow.f32 x 4)) (*.f32 (*.f32 -1/4 (pow.f32 x -2)) (log.f32 (*.f32 x 2))))))) (sqrt.f32 (+.f32 (pow.f32 (log.f32 (*.f32 x 2)) 2) (-.f32 (/.f32 1/16 (pow.f32 x 4)) (*.f32 (*.f32 -1/4 (pow.f32 x -2)) (log.f32 (*.f32 x 2))))))) |
(/.f32 (/.f32 (+.f32 (pow.f32 (log.f32 (*.f32 x 2)) 3) (*.f32 -1/64 (pow.f32 (pow.f32 x -2) 3))) (*.f32 (cbrt.f32 (+.f32 (pow.f32 (log.f32 (*.f32 x 2)) 2) (-.f32 (/.f32 1/16 (pow.f32 x 4)) (*.f32 (*.f32 -1/4 (pow.f32 x -2)) (log.f32 (*.f32 x 2)))))) (cbrt.f32 (+.f32 (pow.f32 (log.f32 (*.f32 x 2)) 2) (-.f32 (/.f32 1/16 (pow.f32 x 4)) (*.f32 (*.f32 -1/4 (pow.f32 x -2)) (log.f32 (*.f32 x 2)))))))) (cbrt.f32 (+.f32 (pow.f32 (log.f32 (*.f32 x 2)) 2) (-.f32 (/.f32 1/16 (pow.f32 x 4)) (*.f32 (*.f32 -1/4 (pow.f32 x -2)) (log.f32 (*.f32 x 2))))))) |
(/.f32 (/.f32 (+.f32 (*.f32 -1/4 (log.f32 (/.f32 2 x))) (*.f32 (*.f32 x x) (-.f32 (pow.f32 (log.f32 2) 2) (pow.f32 (log.f32 x) 2)))) (*.f32 x x)) (log.f32 (/.f32 2 x))) |
(/.f32 (/.f32 (+.f32 (*.f32 -1/4 (+.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2))))) (*.f32 (*.f32 x x) (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3)))) (*.f32 x x)) (+.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2))))) |
(/.f32 (/.f32 (+.f32 (log.f32 (/.f32 2 x)) (*.f32 (*.f32 (*.f32 x x) -4) (-.f32 (pow.f32 (log.f32 2) 2) (pow.f32 (log.f32 x) 2)))) (*.f32 (*.f32 x x) -4)) (log.f32 (/.f32 2 x))) |
(/.f32 (/.f32 (+.f32 (+.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2)))) (*.f32 (*.f32 (*.f32 x x) -4) (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3)))) (*.f32 (*.f32 x x) -4)) (+.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2))))) |
(/.f32 (/.f32 (+.f32 (*.f32 (/.f32 -1/4 x) (log.f32 (/.f32 2 x))) (*.f32 x (-.f32 (pow.f32 (log.f32 2) 2) (pow.f32 (log.f32 x) 2)))) x) (log.f32 (/.f32 2 x))) |
(/.f32 (/.f32 (+.f32 (*.f32 (/.f32 -1/4 x) (+.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2))))) (*.f32 x (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3)))) x) (+.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2))))) |
(/.f32 (/.f32 (+.f32 (*.f32 1/4 (log.f32 (/.f32 2 x))) (*.f32 (*.f32 x (neg.f32 x)) (-.f32 (pow.f32 (log.f32 2) 2) (pow.f32 (log.f32 x) 2)))) (*.f32 x (neg.f32 x))) (log.f32 (/.f32 2 x))) |
(/.f32 (/.f32 (+.f32 (*.f32 1/4 (+.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2))))) (*.f32 (*.f32 x (neg.f32 x)) (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3)))) (*.f32 x (neg.f32 x))) (+.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2))))) |
(/.f32 (/.f32 (+.f32 (*.f32 (-.f32 (pow.f32 (log.f32 2) 2) (pow.f32 (log.f32 x) 2)) (*.f32 x x)) (*.f32 (log.f32 (/.f32 2 x)) -1/4)) (log.f32 (/.f32 2 x))) (*.f32 x x)) |
(/.f32 (/.f32 (+.f32 (*.f32 (-.f32 (pow.f32 (log.f32 2) 2) (pow.f32 (log.f32 x) 2)) (*.f32 (*.f32 x x) -4)) (*.f32 (log.f32 (/.f32 2 x)) 1)) (log.f32 (/.f32 2 x))) (*.f32 (*.f32 x x) -4)) |
(/.f32 (/.f32 (+.f32 (*.f32 (-.f32 (pow.f32 (log.f32 2) 2) (pow.f32 (log.f32 x) 2)) x) (*.f32 (log.f32 (/.f32 2 x)) (/.f32 -1/4 x))) (log.f32 (/.f32 2 x))) x) |
(/.f32 (/.f32 (+.f32 (*.f32 (-.f32 (pow.f32 (log.f32 2) 2) (pow.f32 (log.f32 x) 2)) (*.f32 x (neg.f32 x))) (*.f32 (log.f32 (/.f32 2 x)) 1/4)) (log.f32 (/.f32 2 x))) (*.f32 x (neg.f32 x))) |
(/.f32 (/.f32 (+.f32 (*.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3)) (*.f32 x x)) (*.f32 (+.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2)))) -1/4)) (+.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2))))) (*.f32 x x)) |
(/.f32 (/.f32 (+.f32 (*.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3)) (*.f32 (*.f32 x x) -4)) (*.f32 (+.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2)))) 1)) (+.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2))))) (*.f32 (*.f32 x x) -4)) |
(/.f32 (/.f32 (+.f32 (*.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3)) x) (*.f32 (+.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2)))) (/.f32 -1/4 x))) (+.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2))))) x) |
(/.f32 (/.f32 (+.f32 (*.f32 (+.f32 (pow.f32 (log.f32 2) 3) (pow.f32 (log.f32 x) 3)) (*.f32 x (neg.f32 x))) (*.f32 (+.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2)))) 1/4)) (+.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2))))) (*.f32 x (neg.f32 x))) |
(pow.f32 (fma.f32 -1/4 (pow.f32 x -2) (log.f32 (*.f32 x 2))) 1) |
(pow.f32 (sqrt.f32 (fma.f32 -1/4 (pow.f32 x -2) (log.f32 (*.f32 x 2)))) 2) |
(pow.f32 (cbrt.f32 (fma.f32 -1/4 (pow.f32 x -2) (log.f32 (*.f32 x 2)))) 3) |
(pow.f32 (pow.f32 (fma.f32 -1/4 (pow.f32 x -2) (log.f32 (*.f32 x 2))) 3) 1/3) |
(sqrt.f32 (pow.f32 (fma.f32 -1/4 (pow.f32 x -2) (log.f32 (*.f32 x 2))) 2)) |
(log.f32 (*.f32 (pow.f32 (exp.f32 -1/4) (pow.f32 x -2)) (*.f32 x 2))) |
(log.f32 (+.f32 1 (expm1.f32 (fma.f32 -1/4 (pow.f32 x -2) (log.f32 (*.f32 x 2)))))) |
(cbrt.f32 (pow.f32 (fma.f32 -1/4 (pow.f32 x -2) (log.f32 (*.f32 x 2))) 3)) |
(expm1.f32 (log1p.f32 (fma.f32 -1/4 (pow.f32 x -2) (log.f32 (*.f32 x 2))))) |
(exp.f32 (log.f32 (fma.f32 -1/4 (pow.f32 x -2) (log.f32 (*.f32 x 2))))) |
(exp.f32 (*.f32 (log.f32 (fma.f32 -1/4 (pow.f32 x -2) (log.f32 (*.f32 x 2)))) 1)) |
(log1p.f32 (expm1.f32 (fma.f32 -1/4 (pow.f32 x -2) (log.f32 (*.f32 x 2))))) |
(fma.f32 -1/4 (pow.f32 x -2) (log.f32 (*.f32 x 2))) |
(fma.f32 1 (*.f32 -1/4 (pow.f32 x -2)) (log.f32 (*.f32 x 2))) |
(fma.f32 1 (log.f32 2) (+.f32 (*.f32 -1/4 (pow.f32 x -2)) (log.f32 x))) |
(fma.f32 1 (log.f32 (*.f32 x 2)) (*.f32 -1/4 (pow.f32 x -2))) |
(fma.f32 (sqrt.f32 (log.f32 (*.f32 x 2))) (sqrt.f32 (log.f32 (*.f32 x 2))) (*.f32 -1/4 (pow.f32 x -2))) |
(fma.f32 (sqrt.f32 (log.f32 2)) (sqrt.f32 (log.f32 2)) (+.f32 (*.f32 -1/4 (pow.f32 x -2)) (log.f32 x))) |
(fma.f32 (/.f32 (sqrt.f32 -1/4) x) (/.f32 (sqrt.f32 -1/4) x) (log.f32 (*.f32 x 2))) |
(fma.f32 (pow.f32 (cbrt.f32 (log.f32 (*.f32 x 2))) 2) (cbrt.f32 (log.f32 (*.f32 x 2))) (*.f32 -1/4 (pow.f32 x -2))) |
(fma.f32 (pow.f32 (cbrt.f32 (log.f32 2)) 2) (cbrt.f32 (log.f32 2)) (+.f32 (*.f32 -1/4 (pow.f32 x -2)) (log.f32 x))) |
(fma.f32 (cbrt.f32 (/.f32 1/16 (pow.f32 x 4))) (cbrt.f32 (*.f32 -1/4 (pow.f32 x -2))) (log.f32 (*.f32 x 2))) |
| Outputs |
|---|
(/.f32 -1/4 (pow.f32 x 2)) |
(/.f32 -1/4 (*.f32 x x)) |
(*.f32 -1/4 (pow.f32 x -2)) |
(/.f32 -1/4 (pow.f32 x 2)) |
(/.f32 -1/4 (*.f32 x x)) |
(*.f32 -1/4 (pow.f32 x -2)) |
(/.f32 -1/4 (pow.f32 x 2)) |
(/.f32 -1/4 (*.f32 x x)) |
(*.f32 -1/4 (pow.f32 x -2)) |
(/.f32 -1/4 (pow.f32 x 2)) |
(/.f32 -1/4 (*.f32 x x)) |
(*.f32 -1/4 (pow.f32 x -2)) |
(/.f32 -1/4 (pow.f32 x 2)) |
(/.f32 -1/4 (*.f32 x x)) |
(*.f32 -1/4 (pow.f32 x -2)) |
(/.f32 -1/4 (pow.f32 x 2)) |
(/.f32 -1/4 (*.f32 x x)) |
(*.f32 -1/4 (pow.f32 x -2)) |
(/.f32 -1/4 (pow.f32 x 2)) |
(/.f32 -1/4 (*.f32 x x)) |
(*.f32 -1/4 (pow.f32 x -2)) |
(/.f32 -1/4 (pow.f32 x 2)) |
(/.f32 -1/4 (*.f32 x x)) |
(*.f32 -1/4 (pow.f32 x -2)) |
(/.f32 -1/4 (pow.f32 x 2)) |
(/.f32 -1/4 (*.f32 x x)) |
(*.f32 -1/4 (pow.f32 x -2)) |
(/.f32 -1/4 (pow.f32 x 2)) |
(/.f32 -1/4 (*.f32 x x)) |
(*.f32 -1/4 (pow.f32 x -2)) |
(/.f32 -1/4 (pow.f32 x 2)) |
(/.f32 -1/4 (*.f32 x x)) |
(*.f32 -1/4 (pow.f32 x -2)) |
(/.f32 -1/4 (pow.f32 x 2)) |
(/.f32 -1/4 (*.f32 x x)) |
(*.f32 -1/4 (pow.f32 x -2)) |
(/.f32 -1/4 (pow.f32 x 2)) |
(/.f32 -1/4 (*.f32 x x)) |
(*.f32 -1/4 (pow.f32 x -2)) |
(-.f32 (+.f32 (log.f32 2) (log.f32 x)) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))) |
(-.f32 (log.f32 (*.f32 x 2)) (/.f32 1/4 (*.f32 x x))) |
(fma.f32 -1/4 (pow.f32 x -2) (log.f32 (*.f32 x 2))) |
(-.f32 (+.f32 (log.f32 2) (log.f32 x)) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))) |
(-.f32 (log.f32 (*.f32 x 2)) (/.f32 1/4 (*.f32 x x))) |
(fma.f32 -1/4 (pow.f32 x -2) (log.f32 (*.f32 x 2))) |
(-.f32 (+.f32 (log.f32 2) (log.f32 x)) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))) |
(-.f32 (log.f32 (*.f32 x 2)) (/.f32 1/4 (*.f32 x x))) |
(fma.f32 -1/4 (pow.f32 x -2) (log.f32 (*.f32 x 2))) |
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(fma.f32 -1/4 (pow.f32 x -2) (log.f32 (*.f32 x 2))) |
(log1p.f32 (expm1.f32 (fma.f32 -1/4 (pow.f32 x -2) (log.f32 (*.f32 x 2))))) |
(-.f32 (log.f32 (*.f32 x 2)) (/.f32 1/4 (*.f32 x x))) |
(fma.f32 -1/4 (pow.f32 x -2) (log.f32 (*.f32 x 2))) |
(fma.f32 -1/4 (pow.f32 x -2) (log.f32 (*.f32 x 2))) |
(-.f32 (log.f32 (*.f32 x 2)) (/.f32 1/4 (*.f32 x x))) |
(fma.f32 1 (*.f32 -1/4 (pow.f32 x -2)) (log.f32 (*.f32 x 2))) |
(-.f32 (log.f32 (*.f32 x 2)) (/.f32 1/4 (*.f32 x x))) |
(fma.f32 -1/4 (pow.f32 x -2) (log.f32 (*.f32 x 2))) |
(fma.f32 1 (log.f32 2) (+.f32 (*.f32 -1/4 (pow.f32 x -2)) (log.f32 x))) |
(-.f32 (log.f32 (*.f32 x 2)) (/.f32 1/4 (*.f32 x x))) |
(fma.f32 -1/4 (pow.f32 x -2) (log.f32 (*.f32 x 2))) |
(fma.f32 1 (log.f32 (*.f32 x 2)) (*.f32 -1/4 (pow.f32 x -2))) |
(-.f32 (log.f32 (*.f32 x 2)) (/.f32 1/4 (*.f32 x x))) |
(fma.f32 -1/4 (pow.f32 x -2) (log.f32 (*.f32 x 2))) |
(fma.f32 (sqrt.f32 (log.f32 (*.f32 x 2))) (sqrt.f32 (log.f32 (*.f32 x 2))) (*.f32 -1/4 (pow.f32 x -2))) |
(-.f32 (log.f32 (*.f32 x 2)) (/.f32 1/4 (*.f32 x x))) |
(fma.f32 -1/4 (pow.f32 x -2) (log.f32 (*.f32 x 2))) |
(fma.f32 (sqrt.f32 (log.f32 2)) (sqrt.f32 (log.f32 2)) (+.f32 (*.f32 -1/4 (pow.f32 x -2)) (log.f32 x))) |
(-.f32 (log.f32 (*.f32 x 2)) (/.f32 1/4 (*.f32 x x))) |
(fma.f32 -1/4 (pow.f32 x -2) (log.f32 (*.f32 x 2))) |
(fma.f32 (/.f32 (sqrt.f32 -1/4) x) (/.f32 (sqrt.f32 -1/4) x) (log.f32 (*.f32 x 2))) |
(+.f32 (pow.f32 (/.f32 (sqrt.f32 -1/4) x) 2) (log.f32 (*.f32 x 2))) |
(fma.f32 (pow.f32 (cbrt.f32 (log.f32 (*.f32 x 2))) 2) (cbrt.f32 (log.f32 (*.f32 x 2))) (*.f32 -1/4 (pow.f32 x -2))) |
(-.f32 (log.f32 (*.f32 x 2)) (/.f32 1/4 (*.f32 x x))) |
(fma.f32 -1/4 (pow.f32 x -2) (log.f32 (*.f32 x 2))) |
(fma.f32 (pow.f32 (cbrt.f32 (log.f32 2)) 2) (cbrt.f32 (log.f32 2)) (+.f32 (*.f32 -1/4 (pow.f32 x -2)) (log.f32 x))) |
(-.f32 (log.f32 (*.f32 x 2)) (/.f32 1/4 (*.f32 x x))) |
(fma.f32 -1/4 (pow.f32 x -2) (log.f32 (*.f32 x 2))) |
(fma.f32 (cbrt.f32 (/.f32 1/16 (pow.f32 x 4))) (cbrt.f32 (*.f32 -1/4 (pow.f32 x -2))) (log.f32 (*.f32 x 2))) |
(fma.f32 (cbrt.f32 (*.f32 -1/4 (pow.f32 x -2))) (cbrt.f32 (/.f32 1/16 (pow.f32 x 4))) (log.f32 (*.f32 x 2))) |
Compiled 4 to 4 computations (0% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.01% | (/.f32 1/2 x) | |
| ✓ | 0.37% | (log.f32 (/.f32 1 (/.f32 1/2 x))) |
| ✓ | 0.47% | (/.f32 1 (/.f32 1/2 x)) |
Compiled 18 to 14 computations (22.2% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | inf | (log.f32 (/.f32 1 (/.f32 1/2 x))) |
| 6.0ms | x | @ | -inf | (log.f32 (/.f32 1 (/.f32 1/2 x))) |
| 0.0ms | x | @ | inf | (/.f32 1 (/.f32 1/2 x)) |
| 0.0ms | x | @ | -inf | (/.f32 1 (/.f32 1/2 x)) |
| 0.0ms | x | @ | 0 | (/.f32 1 (/.f32 1/2 x)) |
| 1× | batch-egg-rewrite |
| 1628× | add-sqr-sqrt |
| 1600× | *-un-lft-identity |
| 1496× | add-cube-cbrt |
| 1482× | add-cbrt-cube |
| 166× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 18 |
| 1 | 185 | 18 |
| 2 | 2117 | 18 |
| 1× | node limit |
| Inputs |
|---|
(/.f32 1 (/.f32 1/2 x)) |
(log.f32 (/.f32 1 (/.f32 1/2 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 x 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (*.f32 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 x 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 x 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (*.f32 x 2)) (sqrt.f32 (*.f32 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (*.f32 x 2)) (pow.f32 (cbrt.f32 (*.f32 x 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (*.f32 x 2)) 2) (cbrt.f32 (*.f32 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (pow.f32 (/.f32 1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (/.f32 1 (/.f32 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (sqrt.f32 x)) (sqrt.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (pow.f32 (cbrt.f32 x) 2)) (cbrt.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -2 (neg.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (sqrt.f32 (/.f32 1/2 x)) -1) (pow.f32 (sqrt.f32 (/.f32 1/2 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (cbrt.f32 (/.f32 1/2 x)) 2) -1) (pow.f32 (cbrt.f32 (/.f32 1/2 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 1/2 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 x 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 x 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 x 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 x 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (E.f32) (log.f32 (*.f32 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (*.f32 x 2))) 2)) (cbrt.f32 (log.f32 (*.f32 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (*.f32 x 2)))) (sqrt.f32 (log.f32 (*.f32 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 4 (*.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (*.f32 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 x 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (/.f32 1/2 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 x 2))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log.f32 (*.f32 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 2) (log.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (*.f32 x 2))) (log.f32 (sqrt.f32 (*.f32 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (*.f32 x 2)) 2)) (log.f32 (cbrt.f32 (*.f32 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (log.f32 (/.f32 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 -1) (log.f32 (/.f32 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (log.f32 (*.f32 x 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log.f32 (*.f32 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log.f32 (*.f32 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log.f32 (*.f32 x 2))) (sqrt.f32 (log.f32 (*.f32 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log.f32 (*.f32 x 2))) (pow.f32 (cbrt.f32 (log.f32 (*.f32 x 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (log.f32 (*.f32 x 2))) 2) (cbrt.f32 (log.f32 (*.f32 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (log.f32 (/.f32 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 0 (pow.f32 (log.f32 (*.f32 x 2)) 2)) (log.f32 (/.f32 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 0 (pow.f32 (log.f32 (/.f32 1/2 x)) 3)) (+.f32 0 (+.f32 (pow.f32 (log.f32 (*.f32 x 2)) 2) (*.f32 0 (log.f32 (/.f32 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log.f32 (*.f32 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log.f32 (*.f32 x 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log.f32 (*.f32 x 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log.f32 (*.f32 x 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (log.f32 (/.f32 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log.f32 (*.f32 x 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log.f32 (*.f32 x 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log.f32 (*.f32 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log.f32 (*.f32 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (log.f32 (*.f32 x 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (-.f32 (*.f32 x 2) 1)))))) |
| 1× | egg-herbie |
| 936× | unswap-sqr |
| 828× | distribute-lft-in |
| 806× | associate--r+ |
| 802× | distribute-rgt-in |
| 612× | associate-+r- |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 137 | 889 |
| 1 | 303 | 875 |
| 2 | 1147 | 863 |
| 3 | 6447 | 863 |
| 1× | node limit |
| Inputs |
|---|
(*.f32 2 x) |
(*.f32 2 x) |
(*.f32 2 x) |
(*.f32 2 x) |
(*.f32 2 x) |
(*.f32 2 x) |
(*.f32 2 x) |
(*.f32 2 x) |
(*.f32 2 x) |
(*.f32 2 x) |
(*.f32 2 x) |
(*.f32 2 x) |
(+.f32 (log.f32 2) (log.f32 x)) |
(+.f32 (log.f32 2) (log.f32 x)) |
(+.f32 (log.f32 2) (log.f32 x)) |
(+.f32 (log.f32 2) (log.f32 x)) |
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x)))) |
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x)))) |
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x)))) |
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x)))) |
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) |
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) |
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) |
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) |
(-.f32 (exp.f32 (log1p.f32 (*.f32 x 2))) 1) |
(*.f32 1 (*.f32 x 2)) |
(*.f32 x 2) |
(*.f32 (*.f32 x 2) 1) |
(*.f32 (sqrt.f32 (*.f32 x 2)) (sqrt.f32 (*.f32 x 2))) |
(*.f32 (cbrt.f32 (*.f32 x 2)) (pow.f32 (cbrt.f32 (*.f32 x 2)) 2)) |
(*.f32 (pow.f32 (cbrt.f32 (*.f32 x 2)) 2) (cbrt.f32 (*.f32 x 2))) |
(*.f32 2 x) |
(*.f32 2 (pow.f32 (/.f32 1 x) -1)) |
(*.f32 -1 (/.f32 1 (/.f32 -1/2 x))) |
(*.f32 (*.f32 2 (sqrt.f32 x)) (sqrt.f32 x)) |
(*.f32 (*.f32 2 (pow.f32 (cbrt.f32 x) 2)) (cbrt.f32 x)) |
(*.f32 -2 (neg.f32 x)) |
(*.f32 (pow.f32 (sqrt.f32 (/.f32 1/2 x)) -1) (pow.f32 (sqrt.f32 (/.f32 1/2 x)) -1)) |
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (/.f32 1/2 x)) 2) -1) (pow.f32 (cbrt.f32 (/.f32 1/2 x)) -1)) |
(pow.f32 (/.f32 1/2 x) -1) |
(pow.f32 (*.f32 x 2) 1) |
(pow.f32 (sqrt.f32 (*.f32 x 2)) 2) |
(pow.f32 (cbrt.f32 (*.f32 x 2)) 3) |
(pow.f32 (pow.f32 (*.f32 x 2) 3) 1/3) |
(pow.f32 (E.f32) (log.f32 (*.f32 x 2))) |
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (*.f32 x 2))) 2)) (cbrt.f32 (log.f32 (*.f32 x 2)))) |
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (*.f32 x 2)))) (sqrt.f32 (log.f32 (*.f32 x 2)))) |
(sqrt.f32 (*.f32 4 (*.f32 x x))) |
(log.f32 (exp.f32 (*.f32 x 2))) |
(log.f32 (+.f32 1 (expm1.f32 (*.f32 x 2)))) |
(cbrt.f32 (pow.f32 (*.f32 x 2) 3)) |
(expm1.f32 (log1p.f32 (*.f32 x 2))) |
(exp.f32 (log.f32 (*.f32 x 2))) |
(exp.f32 (*.f32 (log.f32 (/.f32 1/2 x)) -1)) |
(log1p.f32 (expm1.f32 (*.f32 x 2))) |
(+.f32 0 (log.f32 (*.f32 x 2))) |
(+.f32 (log.f32 2) (log.f32 x)) |
(+.f32 (log.f32 (sqrt.f32 (*.f32 x 2))) (log.f32 (sqrt.f32 (*.f32 x 2)))) |
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (*.f32 x 2)) 2)) (log.f32 (cbrt.f32 (*.f32 x 2)))) |
(-.f32 0 (log.f32 (/.f32 1/2 x))) |
(-.f32 (log.f32 -1) (log.f32 (/.f32 -1/2 x))) |
(-.f32 (exp.f32 (log1p.f32 (log.f32 (*.f32 x 2)))) 1) |
(*.f32 1 (log.f32 (*.f32 x 2))) |
(*.f32 (log.f32 (*.f32 x 2)) 1) |
(*.f32 (sqrt.f32 (log.f32 (*.f32 x 2))) (sqrt.f32 (log.f32 (*.f32 x 2)))) |
(*.f32 (cbrt.f32 (log.f32 (*.f32 x 2))) (pow.f32 (cbrt.f32 (log.f32 (*.f32 x 2))) 2)) |
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (*.f32 x 2))) 2) (cbrt.f32 (log.f32 (*.f32 x 2)))) |
(*.f32 -1 (log.f32 (/.f32 1/2 x))) |
(/.f32 (-.f32 0 (pow.f32 (log.f32 (*.f32 x 2)) 2)) (log.f32 (/.f32 1/2 x))) |
(/.f32 (-.f32 0 (pow.f32 (log.f32 (/.f32 1/2 x)) 3)) (+.f32 0 (+.f32 (pow.f32 (log.f32 (*.f32 x 2)) 2) (*.f32 0 (log.f32 (/.f32 1/2 x)))))) |
(pow.f32 (log.f32 (*.f32 x 2)) 1) |
(pow.f32 (sqrt.f32 (log.f32 (*.f32 x 2))) 2) |
(pow.f32 (cbrt.f32 (log.f32 (*.f32 x 2))) 3) |
(pow.f32 (pow.f32 (log.f32 (*.f32 x 2)) 3) 1/3) |
(neg.f32 (log.f32 (/.f32 1/2 x))) |
(sqrt.f32 (pow.f32 (log.f32 (*.f32 x 2)) 2)) |
(cbrt.f32 (pow.f32 (log.f32 (*.f32 x 2)) 3)) |
(expm1.f32 (log1p.f32 (log.f32 (*.f32 x 2)))) |
(exp.f32 (log.f32 (log.f32 (*.f32 x 2)))) |
(exp.f32 (*.f32 (log.f32 (log.f32 (*.f32 x 2))) 1)) |
(log1p.f32 (-.f32 (*.f32 x 2) 1)) |
| Outputs |
|---|
(*.f32 2 x) |
(+.f32 x x) |
(*.f32 2 x) |
(+.f32 x x) |
(*.f32 2 x) |
(+.f32 x x) |
(*.f32 2 x) |
(+.f32 x x) |
(*.f32 2 x) |
(+.f32 x x) |
(*.f32 2 x) |
(+.f32 x x) |
(*.f32 2 x) |
(+.f32 x x) |
(*.f32 2 x) |
(+.f32 x x) |
(*.f32 2 x) |
(+.f32 x x) |
(*.f32 2 x) |
(+.f32 x x) |
(*.f32 2 x) |
(+.f32 x x) |
(*.f32 2 x) |
(+.f32 x x) |
(+.f32 (log.f32 2) (log.f32 x)) |
(log.f32 (*.f32 2 x)) |
(log.f32 (+.f32 x x)) |
(+.f32 (log.f32 2) (log.f32 x)) |
(log.f32 (*.f32 2 x)) |
(log.f32 (+.f32 x x)) |
(+.f32 (log.f32 2) (log.f32 x)) |
(log.f32 (*.f32 2 x)) |
(log.f32 (+.f32 x x)) |
(+.f32 (log.f32 2) (log.f32 x)) |
(log.f32 (*.f32 2 x)) |
(log.f32 (+.f32 x x)) |
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x)))) |
(log.f32 (*.f32 2 x)) |
(log.f32 (+.f32 x x)) |
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x)))) |
(log.f32 (*.f32 2 x)) |
(log.f32 (+.f32 x x)) |
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x)))) |
(log.f32 (*.f32 2 x)) |
(log.f32 (+.f32 x x)) |
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x)))) |
(log.f32 (*.f32 2 x)) |
(log.f32 (+.f32 x x)) |
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) |
(fma.f32 -1 (log.f32 (/.f32 -1 x)) (log.f32 -2)) |
(-.f32 (log.f32 -2) (log.f32 (/.f32 -1 x))) |
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) |
(fma.f32 -1 (log.f32 (/.f32 -1 x)) (log.f32 -2)) |
(-.f32 (log.f32 -2) (log.f32 (/.f32 -1 x))) |
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) |
(fma.f32 -1 (log.f32 (/.f32 -1 x)) (log.f32 -2)) |
(-.f32 (log.f32 -2) (log.f32 (/.f32 -1 x))) |
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) |
(fma.f32 -1 (log.f32 (/.f32 -1 x)) (log.f32 -2)) |
(-.f32 (log.f32 -2) (log.f32 (/.f32 -1 x))) |
(-.f32 (exp.f32 (log1p.f32 (*.f32 x 2))) 1) |
(*.f32 2 x) |
(+.f32 x x) |
(*.f32 1 (*.f32 x 2)) |
(*.f32 2 x) |
(+.f32 x x) |
(*.f32 x 2) |
(*.f32 2 x) |
(+.f32 x x) |
(*.f32 (*.f32 x 2) 1) |
(*.f32 2 x) |
(+.f32 x x) |
(*.f32 (sqrt.f32 (*.f32 x 2)) (sqrt.f32 (*.f32 x 2))) |
(*.f32 2 x) |
(+.f32 x x) |
(*.f32 (cbrt.f32 (*.f32 x 2)) (pow.f32 (cbrt.f32 (*.f32 x 2)) 2)) |
(*.f32 2 x) |
(+.f32 x x) |
(*.f32 (pow.f32 (cbrt.f32 (*.f32 x 2)) 2) (cbrt.f32 (*.f32 x 2))) |
(*.f32 2 x) |
(+.f32 x x) |
(*.f32 2 x) |
(+.f32 x x) |
(*.f32 2 (pow.f32 (/.f32 1 x) -1)) |
(*.f32 2 x) |
(+.f32 x x) |
(*.f32 -1 (/.f32 1 (/.f32 -1/2 x))) |
(*.f32 2 x) |
(+.f32 x x) |
(*.f32 (*.f32 2 (sqrt.f32 x)) (sqrt.f32 x)) |
(*.f32 2 x) |
(+.f32 x x) |
(*.f32 (*.f32 2 (pow.f32 (cbrt.f32 x) 2)) (cbrt.f32 x)) |
(*.f32 2 x) |
(+.f32 x x) |
(*.f32 -2 (neg.f32 x)) |
(*.f32 2 x) |
(+.f32 x x) |
(*.f32 (pow.f32 (sqrt.f32 (/.f32 1/2 x)) -1) (pow.f32 (sqrt.f32 (/.f32 1/2 x)) -1)) |
(pow.f32 (sqrt.f32 (/.f32 1/2 x)) -2) |
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (/.f32 1/2 x)) 2) -1) (pow.f32 (cbrt.f32 (/.f32 1/2 x)) -1)) |
(*.f32 (/.f32 1 (pow.f32 (cbrt.f32 (/.f32 1/2 x)) 2)) (/.f32 1 (cbrt.f32 (/.f32 1/2 x)))) |
(/.f32 (/.f32 1 (pow.f32 (cbrt.f32 (/.f32 1/2 x)) 2)) (cbrt.f32 (/.f32 1/2 x))) |
(pow.f32 (/.f32 1/2 x) -1) |
(*.f32 2 x) |
(+.f32 x x) |
(pow.f32 (*.f32 x 2) 1) |
(*.f32 2 x) |
(+.f32 x x) |
(pow.f32 (sqrt.f32 (*.f32 x 2)) 2) |
(*.f32 2 x) |
(+.f32 x x) |
(pow.f32 (cbrt.f32 (*.f32 x 2)) 3) |
(*.f32 2 x) |
(+.f32 x x) |
(pow.f32 (pow.f32 (*.f32 x 2) 3) 1/3) |
(*.f32 2 x) |
(+.f32 x x) |
(pow.f32 (E.f32) (log.f32 (*.f32 x 2))) |
(*.f32 2 x) |
(+.f32 x x) |
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (*.f32 x 2))) 2)) (cbrt.f32 (log.f32 (*.f32 x 2)))) |
(*.f32 2 x) |
(+.f32 x x) |
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (*.f32 x 2)))) (sqrt.f32 (log.f32 (*.f32 x 2)))) |
(*.f32 2 x) |
(+.f32 x x) |
(sqrt.f32 (*.f32 4 (*.f32 x x))) |
(sqrt.f32 (*.f32 x (*.f32 x 4))) |
(fabs.f32 (+.f32 x x)) |
(log.f32 (exp.f32 (*.f32 x 2))) |
(*.f32 2 x) |
(+.f32 x x) |
(log.f32 (+.f32 1 (expm1.f32 (*.f32 x 2)))) |
(*.f32 2 x) |
(+.f32 x x) |
(cbrt.f32 (pow.f32 (*.f32 x 2) 3)) |
(*.f32 2 x) |
(+.f32 x x) |
(expm1.f32 (log1p.f32 (*.f32 x 2))) |
(*.f32 2 x) |
(+.f32 x x) |
(exp.f32 (log.f32 (*.f32 x 2))) |
(*.f32 2 x) |
(+.f32 x x) |
(exp.f32 (*.f32 (log.f32 (/.f32 1/2 x)) -1)) |
(*.f32 2 x) |
(+.f32 x x) |
(log1p.f32 (expm1.f32 (*.f32 x 2))) |
(*.f32 2 x) |
(+.f32 x x) |
(+.f32 0 (log.f32 (*.f32 x 2))) |
(log.f32 (*.f32 2 x)) |
(log.f32 (+.f32 x x)) |
(+.f32 (log.f32 2) (log.f32 x)) |
(log.f32 (*.f32 2 x)) |
(log.f32 (+.f32 x x)) |
(+.f32 (log.f32 (sqrt.f32 (*.f32 x 2))) (log.f32 (sqrt.f32 (*.f32 x 2)))) |
(log.f32 (*.f32 2 x)) |
(log.f32 (+.f32 x x)) |
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (*.f32 x 2)) 2)) (log.f32 (cbrt.f32 (*.f32 x 2)))) |
(log.f32 (*.f32 2 x)) |
(log.f32 (+.f32 x x)) |
(-.f32 0 (log.f32 (/.f32 1/2 x))) |
(log.f32 (*.f32 2 x)) |
(log.f32 (+.f32 x x)) |
(-.f32 (log.f32 -1) (log.f32 (/.f32 -1/2 x))) |
(log.f32 (*.f32 2 x)) |
(log.f32 (+.f32 x x)) |
(-.f32 (exp.f32 (log1p.f32 (log.f32 (*.f32 x 2)))) 1) |
(log.f32 (*.f32 2 x)) |
(log.f32 (+.f32 x x)) |
(*.f32 1 (log.f32 (*.f32 x 2))) |
(log.f32 (*.f32 2 x)) |
(log.f32 (+.f32 x x)) |
(*.f32 (log.f32 (*.f32 x 2)) 1) |
(log.f32 (*.f32 2 x)) |
(log.f32 (+.f32 x x)) |
(*.f32 (sqrt.f32 (log.f32 (*.f32 x 2))) (sqrt.f32 (log.f32 (*.f32 x 2)))) |
(log.f32 (*.f32 2 x)) |
(log.f32 (+.f32 x x)) |
(*.f32 (cbrt.f32 (log.f32 (*.f32 x 2))) (pow.f32 (cbrt.f32 (log.f32 (*.f32 x 2))) 2)) |
(log.f32 (*.f32 2 x)) |
(log.f32 (+.f32 x x)) |
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (*.f32 x 2))) 2) (cbrt.f32 (log.f32 (*.f32 x 2)))) |
(log.f32 (*.f32 2 x)) |
(log.f32 (+.f32 x x)) |
(*.f32 -1 (log.f32 (/.f32 1/2 x))) |
(log.f32 (*.f32 2 x)) |
(log.f32 (+.f32 x x)) |
(/.f32 (-.f32 0 (pow.f32 (log.f32 (*.f32 x 2)) 2)) (log.f32 (/.f32 1/2 x))) |
(/.f32 (neg.f32 (pow.f32 (log.f32 (*.f32 2 x)) 2)) (log.f32 (/.f32 1/2 x))) |
(neg.f32 (/.f32 (pow.f32 (log.f32 (+.f32 x x)) 2) (log.f32 (/.f32 1/2 x)))) |
(/.f32 (-.f32 0 (pow.f32 (log.f32 (/.f32 1/2 x)) 3)) (+.f32 0 (+.f32 (pow.f32 (log.f32 (*.f32 x 2)) 2) (*.f32 0 (log.f32 (/.f32 1/2 x)))))) |
(/.f32 (neg.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 3)) (+.f32 0 (pow.f32 (log.f32 (*.f32 2 x)) 2))) |
(/.f32 (neg.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 3)) (pow.f32 (log.f32 (*.f32 2 x)) 2)) |
(/.f32 (neg.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 3)) (pow.f32 (log.f32 (+.f32 x x)) 2)) |
(pow.f32 (log.f32 (*.f32 x 2)) 1) |
(log.f32 (*.f32 2 x)) |
(log.f32 (+.f32 x x)) |
(pow.f32 (sqrt.f32 (log.f32 (*.f32 x 2))) 2) |
(log.f32 (*.f32 2 x)) |
(log.f32 (+.f32 x x)) |
(pow.f32 (cbrt.f32 (log.f32 (*.f32 x 2))) 3) |
(log.f32 (*.f32 2 x)) |
(log.f32 (+.f32 x x)) |
(pow.f32 (pow.f32 (log.f32 (*.f32 x 2)) 3) 1/3) |
(log.f32 (*.f32 2 x)) |
(log.f32 (+.f32 x x)) |
(neg.f32 (log.f32 (/.f32 1/2 x))) |
(log.f32 (*.f32 2 x)) |
(log.f32 (+.f32 x x)) |
(sqrt.f32 (pow.f32 (log.f32 (*.f32 x 2)) 2)) |
(log.f32 (*.f32 2 x)) |
(log.f32 (+.f32 x x)) |
(cbrt.f32 (pow.f32 (log.f32 (*.f32 x 2)) 3)) |
(log.f32 (*.f32 2 x)) |
(log.f32 (+.f32 x x)) |
(expm1.f32 (log1p.f32 (log.f32 (*.f32 x 2)))) |
(log.f32 (*.f32 2 x)) |
(log.f32 (+.f32 x x)) |
(exp.f32 (log.f32 (log.f32 (*.f32 x 2)))) |
(log.f32 (*.f32 2 x)) |
(log.f32 (+.f32 x x)) |
(exp.f32 (*.f32 (log.f32 (log.f32 (*.f32 x 2))) 1)) |
(log.f32 (*.f32 2 x)) |
(log.f32 (+.f32 x x)) |
(log1p.f32 (-.f32 (*.f32 x 2) 1)) |
(log.f32 (*.f32 2 x)) |
(log.f32 (+.f32 x x)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.13% | (log1p.f32 (/.f32 2 (+.f32 x x))) |
| ✓ | 0.26% | (/.f32 2 (+.f32 x x)) |
Compiled 17 to 8 computations (52.9% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (/.f32 2 (+.f32 x x)) |
| 0.0ms | x | @ | inf | (log1p.f32 (/.f32 2 (+.f32 x x))) |
| 0.0ms | x | @ | -inf | (log1p.f32 (/.f32 2 (+.f32 x x))) |
| 0.0ms | x | @ | 0 | (log1p.f32 (/.f32 2 (+.f32 x x))) |
| 0.0ms | x | @ | 0 | (/.f32 2 (+.f32 x x)) |
| 1× | batch-egg-rewrite |
| 1336× | add-sqr-sqrt |
| 1312× | *-un-lft-identity |
| 1232× | add-cube-cbrt |
| 1222× | add-cbrt-cube |
| 1214× | add-exp-log |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 30 |
| 1 | 172 | 18 |
| 2 | 2271 | 18 |
| 1× | node limit |
| Inputs |
|---|
(/.f32 2 (+.f32 x x)) |
(log1p.f32 (/.f32 2 (+.f32 x x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f32 x x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 x x) (+.f32 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 x (+.f32 x x)) (*.f32 x (+.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (neg.f32 x) (neg.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (+.f32 x x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (+.f32 x x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (*.f32 x x) 0) (/.f32 (*.f32 x x) 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (+.f32 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 x (+.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (neg.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 x 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 x x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 x x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 x x) (+.f32 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 x x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (+.f32 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 2) (+.f32 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 2) (sqrt.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 x) (+.f32 (sqrt.f32 x) (sqrt.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 2) (+.f32 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 2) (cbrt.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 x) (+.f32 (pow.f32 (cbrt.f32 x) 2) (pow.f32 (cbrt.f32 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 x) 2) (+.f32 (cbrt.f32 x) (cbrt.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 4 (+.f32 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 4 (*.f32 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 0 (/.f32 1 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (pow.f32 x 3)) (/.f32 1 (fma.f32 x x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -2 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -2 (+.f32 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (sqrt.f32 x)) (sqrt.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (pow.f32 (cbrt.f32 x) 2)) (cbrt.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 2 0) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 2 (*.f32 2 (pow.f32 x 3))) (fma.f32 x x 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 0) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (*.f32 2 (pow.f32 x 3))) (fma.f32 x x 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (+.f32 x x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 x x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 x x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 x x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 x x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 x x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (+.f32 x x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (+.f32 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (+.f32 x x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (+.f32 x x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (+.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f32 (sqrt.f32 x) (sqrt.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (+.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (+.f32 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (+.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 x x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 x) (sqrt.f32 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 x) 2) (cbrt.f32 x) x))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (log1p.f32 (+.f32 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log1p.f32 (+.f32 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log1p.f32 (+.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log1p.f32 (+.f32 x x))) (sqrt.f32 (log1p.f32 (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log1p.f32 (+.f32 x x))) (pow.f32 (cbrt.f32 (log1p.f32 (+.f32 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (log1p.f32 (+.f32 x x))) 2) (cbrt.f32 (log1p.f32 (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log1p.f32 (+.f32 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log1p.f32 (+.f32 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log1p.f32 (+.f32 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 (+.f32 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log1p.f32 (+.f32 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 (+.f32 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log1p.f32 (+.f32 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log1p.f32 (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log1p.f32 (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (log1p.f32 (+.f32 x x))) 1)))))) |
| 1× | egg-herbie |
| 78× | *-commutative |
| 36× | sqr-pow |
| 22× | distribute-lft-in |
| 14× | sub-neg |
| 14× | count-2 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 148 | 1395 |
| 1 | 367 | 1395 |
| 1× | unsound |
| Inputs |
|---|
(/.f32 1 x) |
(/.f32 1 x) |
(/.f32 1 x) |
(/.f32 1 x) |
(/.f32 1 x) |
(/.f32 1 x) |
(/.f32 1 x) |
(/.f32 1 x) |
(/.f32 1 x) |
(/.f32 1 x) |
(/.f32 1 x) |
(/.f32 1 x) |
(*.f32 -1 (log.f32 x)) |
(+.f32 x (*.f32 -1 (log.f32 x))) |
(+.f32 (*.f32 -1/2 (pow.f32 x 2)) (+.f32 x (*.f32 -1 (log.f32 x)))) |
(+.f32 (*.f32 1/3 (pow.f32 x 3)) (+.f32 (*.f32 -1/2 (pow.f32 x 2)) (+.f32 x (*.f32 -1 (log.f32 x))))) |
(/.f32 1 x) |
(-.f32 (/.f32 1 x) (*.f32 1/2 (/.f32 1 (pow.f32 x 2)))) |
(-.f32 (+.f32 (*.f32 1/3 (/.f32 1 (pow.f32 x 3))) (/.f32 1 x)) (*.f32 1/2 (/.f32 1 (pow.f32 x 2)))) |
(-.f32 (+.f32 (*.f32 1/3 (/.f32 1 (pow.f32 x 3))) (/.f32 1 x)) (+.f32 (*.f32 1/4 (/.f32 1 (pow.f32 x 4))) (*.f32 1/2 (/.f32 1 (pow.f32 x 2))))) |
(/.f32 1 x) |
(-.f32 (/.f32 1 x) (*.f32 1/2 (/.f32 1 (pow.f32 x 2)))) |
(-.f32 (+.f32 (*.f32 1/3 (/.f32 1 (pow.f32 x 3))) (/.f32 1 x)) (*.f32 1/2 (/.f32 1 (pow.f32 x 2)))) |
(-.f32 (+.f32 (*.f32 1/3 (/.f32 1 (pow.f32 x 3))) (/.f32 1 x)) (+.f32 (*.f32 1/4 (/.f32 1 (pow.f32 x 4))) (*.f32 1/2 (/.f32 1 (pow.f32 x 2))))) |
(+.f32 x x) |
(+.f32 (+.f32 x x) (+.f32 x x)) |
(+.f32 (*.f32 x (+.f32 x x)) (*.f32 x (+.f32 x x))) |
(+.f32 (neg.f32 x) (neg.f32 x)) |
(-.f32 0 (+.f32 x x)) |
(-.f32 (+.f32 (+.f32 x x) 1) 1) |
(-.f32 (/.f32 (*.f32 x x) 0) (/.f32 (*.f32 x x) 0)) |
(*.f32 2 x) |
(*.f32 2 (+.f32 x x)) |
(*.f32 2 (*.f32 x (+.f32 x x))) |
(*.f32 2 (neg.f32 x)) |
(*.f32 x 2) |
(*.f32 (+.f32 x x) 2) |
(*.f32 (+.f32 x x) x) |
(*.f32 (+.f32 x x) (+.f32 x x)) |
(*.f32 (+.f32 x x) 1) |
(*.f32 (+.f32 x x) 1/2) |
(*.f32 1 (+.f32 x x)) |
(*.f32 (sqrt.f32 2) (+.f32 x x)) |
(*.f32 (sqrt.f32 2) (sqrt.f32 x)) |
(*.f32 (sqrt.f32 x) (+.f32 (sqrt.f32 x) (sqrt.f32 x))) |
(*.f32 (cbrt.f32 2) (+.f32 x x)) |
(*.f32 (cbrt.f32 2) (cbrt.f32 x)) |
(*.f32 (cbrt.f32 x) (+.f32 (pow.f32 (cbrt.f32 x) 2) (pow.f32 (cbrt.f32 x) 2))) |
(*.f32 (pow.f32 (cbrt.f32 x) 2) (+.f32 (cbrt.f32 x) (cbrt.f32 x))) |
(*.f32 4 (+.f32 x x)) |
(*.f32 4 (*.f32 x x)) |
(*.f32 0 (/.f32 1 0)) |
(*.f32 (*.f32 2 (pow.f32 x 3)) (/.f32 1 (fma.f32 x x 0))) |
(*.f32 -2 x) |
(*.f32 -2 (+.f32 x x)) |
(*.f32 (*.f32 2 (sqrt.f32 x)) (sqrt.f32 x)) |
(*.f32 (*.f32 2 (pow.f32 (cbrt.f32 x) 2)) (cbrt.f32 x)) |
(*.f32 (/.f32 2 0) 0) |
(*.f32 (/.f32 2 (*.f32 2 (pow.f32 x 3))) (fma.f32 x x 0)) |
(*.f32 (/.f32 1 0) 0) |
(*.f32 (/.f32 1 (*.f32 2 (pow.f32 x 3))) (fma.f32 x x 0)) |
(*.f32 -1 (+.f32 x x)) |
(pow.f32 (+.f32 x x) 2) |
(pow.f32 (+.f32 x x) 1) |
(pow.f32 (+.f32 x x) 3) |
(pow.f32 (+.f32 x x) 1/2) |
(pow.f32 (+.f32 x x) -1) |
(pow.f32 (+.f32 x x) 1/3) |
(neg.f32 (+.f32 x x)) |
(sqrt.f32 (+.f32 x x)) |
(fabs.f32 (+.f32 x x)) |
(log.f32 (pow.f32 (exp.f32 2) x)) |
(cbrt.f32 (+.f32 x x)) |
(expm1.f32 (log1p.f32 (+.f32 x x))) |
(hypot.f32 (sqrt.f32 x) (sqrt.f32 x)) |
(exp.f32 (log.f32 (+.f32 x x))) |
(exp.f32 (*.f32 (log.f32 (+.f32 x x)) 1)) |
(log1p.f32 (expm1.f32 (+.f32 x x))) |
(fma.f32 1 x x) |
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) x) |
(fma.f32 (pow.f32 (cbrt.f32 x) 2) (cbrt.f32 x) x) |
(-.f32 (+.f32 1 (log1p.f32 (+.f32 x x))) 1) |
(*.f32 (log1p.f32 (+.f32 x x)) 1) |
(*.f32 1 (log1p.f32 (+.f32 x x))) |
(*.f32 (sqrt.f32 (log1p.f32 (+.f32 x x))) (sqrt.f32 (log1p.f32 (+.f32 x x)))) |
(*.f32 (cbrt.f32 (log1p.f32 (+.f32 x x))) (pow.f32 (cbrt.f32 (log1p.f32 (+.f32 x x))) 2)) |
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 (+.f32 x x))) 2) (cbrt.f32 (log1p.f32 (+.f32 x x)))) |
(pow.f32 (log1p.f32 (+.f32 x x)) 1) |
(pow.f32 (sqrt.f32 (log1p.f32 (+.f32 x x))) 2) |
(pow.f32 (cbrt.f32 (log1p.f32 (+.f32 x x))) 3) |
(pow.f32 (pow.f32 (log1p.f32 (+.f32 x x)) 3) 1/3) |
(sqrt.f32 (pow.f32 (log1p.f32 (+.f32 x x)) 2)) |
(log.f32 (+.f32 (+.f32 x x) 1)) |
(cbrt.f32 (pow.f32 (log1p.f32 (+.f32 x x)) 3)) |
(expm1.f32 (log1p.f32 (log1p.f32 (+.f32 x x)))) |
(exp.f32 (log.f32 (log1p.f32 (+.f32 x x)))) |
(exp.f32 (*.f32 (log.f32 (log1p.f32 (+.f32 x x))) 1)) |
| Outputs |
|---|
(/.f32 1 x) |
(/.f32 0 x) |
(/.f32 1 x) |
(/.f32 0 x) |
(/.f32 1 x) |
(/.f32 0 x) |
(/.f32 1 x) |
(/.f32 0 x) |
(/.f32 1 x) |
(/.f32 0 x) |
(/.f32 1 x) |
(/.f32 0 x) |
(/.f32 1 x) |
(/.f32 0 x) |
(/.f32 1 x) |
(/.f32 0 x) |
(/.f32 1 x) |
(/.f32 0 x) |
(/.f32 1 x) |
(/.f32 0 x) |
(/.f32 1 x) |
(/.f32 0 x) |
(/.f32 1 x) |
(/.f32 0 x) |
(*.f32 -1 (log.f32 x)) |
(neg.f32 (log.f32 x)) |
(+.f32 x (*.f32 -1 (log.f32 x))) |
(+.f32 x (neg.f32 (log.f32 x))) |
(+.f32 (*.f32 -1/2 (pow.f32 x 2)) (+.f32 x (*.f32 -1 (log.f32 x)))) |
(fma.f32 -1/2 (*.f32 x x) (+.f32 x (neg.f32 (log.f32 x)))) |
(+.f32 (*.f32 1/3 (pow.f32 x 3)) (+.f32 (*.f32 -1/2 (pow.f32 x 2)) (+.f32 x (*.f32 -1 (log.f32 x))))) |
(fma.f32 1/3 (pow.f32 x 3) (fma.f32 -1/2 (*.f32 x x) (+.f32 x (neg.f32 (log.f32 x))))) |
(/.f32 1 x) |
(/.f32 0 x) |
(-.f32 (/.f32 1 x) (*.f32 1/2 (/.f32 1 (pow.f32 x 2)))) |
(-.f32 (/.f32 0 x) (/.f32 1/2 (*.f32 x x))) |
(-.f32 (+.f32 (*.f32 1/3 (/.f32 1 (pow.f32 x 3))) (/.f32 1 x)) (*.f32 1/2 (/.f32 1 (pow.f32 x 2)))) |
(+.f32 (/.f32 1/3 (pow.f32 x 3)) (-.f32 (/.f32 0 x) (/.f32 1/2 (*.f32 x x)))) |
(-.f32 (+.f32 (*.f32 1/3 (/.f32 1 (pow.f32 x 3))) (/.f32 1 x)) (+.f32 (*.f32 1/4 (/.f32 1 (pow.f32 x 4))) (*.f32 1/2 (/.f32 1 (pow.f32 x 2))))) |
(-.f32 (+.f32 (/.f32 0 x) (/.f32 1/3 (pow.f32 x 3))) (+.f32 (/.f32 1/2 (*.f32 x x)) (/.f32 1/4 (pow.f32 x 4)))) |
(/.f32 1 x) |
(/.f32 0 x) |
(-.f32 (/.f32 1 x) (*.f32 1/2 (/.f32 1 (pow.f32 x 2)))) |
(-.f32 (/.f32 0 x) (/.f32 1/2 (*.f32 x x))) |
(-.f32 (+.f32 (*.f32 1/3 (/.f32 1 (pow.f32 x 3))) (/.f32 1 x)) (*.f32 1/2 (/.f32 1 (pow.f32 x 2)))) |
(+.f32 (/.f32 1/3 (pow.f32 x 3)) (-.f32 (/.f32 0 x) (/.f32 1/2 (*.f32 x x)))) |
(-.f32 (+.f32 (*.f32 1/3 (/.f32 1 (pow.f32 x 3))) (/.f32 1 x)) (+.f32 (*.f32 1/4 (/.f32 1 (pow.f32 x 4))) (*.f32 1/2 (/.f32 1 (pow.f32 x 2))))) |
(-.f32 (+.f32 (/.f32 0 x) (/.f32 1/3 (pow.f32 x 3))) (+.f32 (/.f32 1/2 (*.f32 x x)) (/.f32 1/4 (pow.f32 x 4)))) |
(+.f32 x x) |
(+.f32 (+.f32 x x) (+.f32 x x)) |
(*.f32 2 (+.f32 x x)) |
(+.f32 (*.f32 x (+.f32 x x)) (*.f32 x (+.f32 x x))) |
(pow.f32 (+.f32 x x) 2) |
(+.f32 (neg.f32 x) (neg.f32 x)) |
(neg.f32 (+.f32 x x)) |
(-.f32 0 (+.f32 x x)) |
(neg.f32 (+.f32 x x)) |
(-.f32 (+.f32 (+.f32 x x) 1) 1) |
(+.f32 0 (+.f32 x x)) |
(-.f32 (/.f32 (*.f32 x x) 0) (/.f32 (*.f32 x x) 0)) |
0 |
(*.f32 2 x) |
(+.f32 x x) |
(*.f32 2 (+.f32 x x)) |
(*.f32 2 (*.f32 x (+.f32 x x))) |
(pow.f32 (+.f32 x x) 2) |
(*.f32 2 (neg.f32 x)) |
(neg.f32 (+.f32 x x)) |
(*.f32 x 2) |
(+.f32 x x) |
(*.f32 (+.f32 x x) 2) |
(*.f32 2 (+.f32 x x)) |
(*.f32 (+.f32 x x) x) |
(*.f32 x (+.f32 x x)) |
(*.f32 (+.f32 x x) (+.f32 x x)) |
(pow.f32 (+.f32 x x) 2) |
(*.f32 (+.f32 x x) 1) |
(+.f32 x x) |
(*.f32 (+.f32 x x) 1/2) |
(*.f32 1/2 (+.f32 x x)) |
(*.f32 1 (+.f32 x x)) |
(+.f32 x x) |
(*.f32 (sqrt.f32 2) (+.f32 x x)) |
(*.f32 (+.f32 x x) (sqrt.f32 2)) |
(*.f32 (sqrt.f32 2) (sqrt.f32 x)) |
(*.f32 (sqrt.f32 x) (+.f32 (sqrt.f32 x) (sqrt.f32 x))) |
(*.f32 2 (*.f32 (sqrt.f32 x) (sqrt.f32 x))) |
(*.f32 (cbrt.f32 2) (+.f32 x x)) |
(*.f32 (+.f32 x x) (cbrt.f32 2)) |
(*.f32 (cbrt.f32 2) (cbrt.f32 x)) |
(*.f32 (cbrt.f32 x) (+.f32 (pow.f32 (cbrt.f32 x) 2) (pow.f32 (cbrt.f32 x) 2))) |
(*.f32 2 (*.f32 (pow.f32 (cbrt.f32 x) 2) (cbrt.f32 x))) |
(*.f32 (pow.f32 (cbrt.f32 x) 2) (+.f32 (cbrt.f32 x) (cbrt.f32 x))) |
(*.f32 2 (*.f32 (pow.f32 (cbrt.f32 x) 2) (cbrt.f32 x))) |
(*.f32 4 (+.f32 x x)) |
(*.f32 4 (*.f32 x x)) |
(*.f32 (*.f32 x x) 4) |
(*.f32 0 (/.f32 1 0)) |
0 |
(*.f32 (*.f32 2 (pow.f32 x 3)) (/.f32 1 (fma.f32 x x 0))) |
(*.f32 (*.f32 2 (pow.f32 x 3)) (/.f32 0 (fma.f32 x x 0))) |
(*.f32 -2 x) |
(*.f32 x -2) |
(*.f32 -2 (+.f32 x x)) |
(*.f32 (+.f32 x x) -2) |
(*.f32 (*.f32 2 (sqrt.f32 x)) (sqrt.f32 x)) |
(*.f32 2 (*.f32 (sqrt.f32 x) (sqrt.f32 x))) |
(*.f32 (*.f32 2 (pow.f32 (cbrt.f32 x) 2)) (cbrt.f32 x)) |
(*.f32 2 (*.f32 (pow.f32 (cbrt.f32 x) 2) (cbrt.f32 x))) |
(*.f32 (/.f32 2 0) 0) |
0 |
(*.f32 (/.f32 2 (*.f32 2 (pow.f32 x 3))) (fma.f32 x x 0)) |
(*.f32 (fma.f32 x x 0) (/.f32 0 (pow.f32 x 3))) |
(*.f32 (/.f32 1 0) 0) |
0 |
(*.f32 (/.f32 1 (*.f32 2 (pow.f32 x 3))) (fma.f32 x x 0)) |
(*.f32 (fma.f32 x x 0) (/.f32 1/2 (pow.f32 x 3))) |
(*.f32 -1 (+.f32 x x)) |
(neg.f32 (+.f32 x x)) |
(pow.f32 (+.f32 x x) 2) |
(pow.f32 (+.f32 x x) 1) |
(+.f32 x x) |
(pow.f32 (+.f32 x x) 3) |
(pow.f32 (+.f32 x x) 1/2) |
(sqrt.f32 (+.f32 x x)) |
(pow.f32 (+.f32 x x) -1) |
(/.f32 0 (+.f32 x x)) |
(pow.f32 (+.f32 x x) 1/3) |
(cbrt.f32 (+.f32 x x)) |
(neg.f32 (+.f32 x x)) |
(sqrt.f32 (+.f32 x x)) |
(fabs.f32 (+.f32 x x)) |
(log.f32 (pow.f32 (exp.f32 2) x)) |
(*.f32 x (log.f32 (exp.f32 2))) |
(cbrt.f32 (+.f32 x x)) |
(expm1.f32 (log1p.f32 (+.f32 x x))) |
(+.f32 x x) |
(hypot.f32 (sqrt.f32 x) (sqrt.f32 x)) |
(exp.f32 (log.f32 (+.f32 x x))) |
(+.f32 x x) |
(exp.f32 (*.f32 (log.f32 (+.f32 x x)) 1)) |
(+.f32 x x) |
(log1p.f32 (expm1.f32 (+.f32 x x))) |
(+.f32 x x) |
(fma.f32 1 x x) |
(fma.f32 0 x x) |
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) x) |
(fma.f32 (pow.f32 (cbrt.f32 x) 2) (cbrt.f32 x) x) |
(-.f32 (+.f32 1 (log1p.f32 (+.f32 x x))) 1) |
(+.f32 0 (-.f32 (log1p.f32 (+.f32 x x)) 0)) |
(*.f32 (log1p.f32 (+.f32 x x)) 1) |
(log1p.f32 (+.f32 x x)) |
(*.f32 1 (log1p.f32 (+.f32 x x))) |
(log1p.f32 (+.f32 x x)) |
(*.f32 (sqrt.f32 (log1p.f32 (+.f32 x x))) (sqrt.f32 (log1p.f32 (+.f32 x x)))) |
(log1p.f32 (+.f32 x x)) |
(*.f32 (cbrt.f32 (log1p.f32 (+.f32 x x))) (pow.f32 (cbrt.f32 (log1p.f32 (+.f32 x x))) 2)) |
(log1p.f32 (+.f32 x x)) |
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 (+.f32 x x))) 2) (cbrt.f32 (log1p.f32 (+.f32 x x)))) |
(log1p.f32 (+.f32 x x)) |
(pow.f32 (log1p.f32 (+.f32 x x)) 1) |
(log1p.f32 (+.f32 x x)) |
(pow.f32 (sqrt.f32 (log1p.f32 (+.f32 x x))) 2) |
(log1p.f32 (+.f32 x x)) |
(pow.f32 (cbrt.f32 (log1p.f32 (+.f32 x x))) 3) |
(log1p.f32 (+.f32 x x)) |
(pow.f32 (pow.f32 (log1p.f32 (+.f32 x x)) 3) 1/3) |
(log1p.f32 (+.f32 x x)) |
(sqrt.f32 (pow.f32 (log1p.f32 (+.f32 x x)) 2)) |
(log.f32 (+.f32 (+.f32 x x) 1)) |
(log.f32 (+.f32 0 (+.f32 x x))) |
(cbrt.f32 (pow.f32 (log1p.f32 (+.f32 x x)) 3)) |
(log1p.f32 (+.f32 x x)) |
(expm1.f32 (log1p.f32 (log1p.f32 (+.f32 x x)))) |
(log1p.f32 (+.f32 x x)) |
(exp.f32 (log.f32 (log1p.f32 (+.f32 x x)))) |
(log1p.f32 (+.f32 x x)) |
(exp.f32 (*.f32 (log.f32 (log1p.f32 (+.f32 x x))) 1)) |
(log1p.f32 (+.f32 x x)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.02% | (/.f32 1/4 x) |
| ✓ | 0.05% | (log1p.f32 (/.f32 (/.f32 1/4 x) x)) |
| ✓ | 0.38% | (/.f32 (/.f32 1/4 x) x) |
Compiled 17 to 11 computations (35.3% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (log1p.f32 (/.f32 (/.f32 1/4 x) x)) |
| 0.0ms | x | @ | 0 | (log1p.f32 (/.f32 (/.f32 1/4 x) x)) |
| 0.0ms | x | @ | 0 | (/.f32 (/.f32 1/4 x) x) |
| 0.0ms | x | @ | 0 | (/.f32 1/4 x) |
| 0.0ms | x | @ | inf | (/.f32 1/4 x) |
| 1× | batch-egg-rewrite |
| 1672× | add-sqr-sqrt |
| 1650× | *-un-lft-identity |
| 1550× | add-cube-cbrt |
| 1532× | add-cbrt-cube |
| 158× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 37 |
| 1 | 170 | 37 |
| 2 | 2113 | 37 |
| 1× | node limit |
| Inputs |
|---|
(/.f32 (/.f32 1/4 x) x) |
(log1p.f32 (/.f32 (/.f32 1/4 x) x)) |
(/.f32 1/4 x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (/.f32 1/4 (*.f32 x x)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/4 (*.f32 (/.f32 1 x) (/.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/4 (/.f32 1 (*.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/4 (/.f32 (/.f32 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1/4 x) (/.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1/4 (*.f32 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (/.f32 1/4 (*.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1/2 (sqrt.f32 x)) (*.f32 (/.f32 1/2 (sqrt.f32 x)) (/.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1/2 x) (/.f32 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (/.f32 1/4 x)) 2) (*.f32 (cbrt.f32 (/.f32 1/4 x)) (/.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (/.f32 1/4 (*.f32 x x))) (pow.f32 (cbrt.f32 (/.f32 1/4 (*.f32 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (/.f32 1/4 (*.f32 x x))) 2) (cbrt.f32 (/.f32 1/4 (*.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 x) (/.f32 1/4 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -1/4 x) (/.f32 1 (neg.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (sqrt.f32 x)) (/.f32 (/.f32 1/4 x) (sqrt.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (pow.f32 (cbrt.f32 x) 2)) (/.f32 (/.f32 1/4 x) (cbrt.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1/4 (sqrt.f32 x)) (/.f32 (/.f32 1 x) (sqrt.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1/4 (pow.f32 (cbrt.f32 x) 2)) (/.f32 (/.f32 1 x) (cbrt.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (/.f32 1/2 (sqrt.f32 x)) 1) (/.f32 (/.f32 1/2 (sqrt.f32 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (/.f32 1/2 (sqrt.f32 x)) (pow.f32 (cbrt.f32 x) 2)) (/.f32 (/.f32 1/2 (sqrt.f32 x)) (cbrt.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (pow.f32 (cbrt.f32 (/.f32 1/4 x)) 2) 1) (/.f32 (cbrt.f32 (/.f32 1/4 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (pow.f32 (cbrt.f32 (/.f32 1/4 x)) 2) (sqrt.f32 x)) (/.f32 (cbrt.f32 (/.f32 1/4 x)) (sqrt.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (pow.f32 (cbrt.f32 (/.f32 1/4 x)) 2) (pow.f32 (cbrt.f32 x) 2)) (cbrt.f32 (/.f32 1/4 (*.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 1/4 (*.f32 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 1/2 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (/.f32 1/4 (*.f32 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 1/4 (*.f32 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 x (/.f32 1/4 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (/.f32 1/4 x) (neg.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (/.f32 1/4 (*.f32 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (/.f32 1/4 (*.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (/.f32 1/4 (*.f32 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (/.f32 1/4 (*.f32 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (/.f32 1/4 (*.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (/.f32 1/4 (*.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (/.f32 1/4 (*.f32 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (/.f32 1/4 (*.f32 x x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (log1p.f32 (/.f32 1/4 (*.f32 x x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log1p.f32 (/.f32 1/4 (*.f32 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log1p.f32 (/.f32 1/4 (*.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log1p.f32 (/.f32 1/4 (*.f32 x x)))) (sqrt.f32 (log1p.f32 (/.f32 1/4 (*.f32 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log1p.f32 (/.f32 1/4 (*.f32 x x)))) (pow.f32 (cbrt.f32 (log1p.f32 (/.f32 1/4 (*.f32 x x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (log1p.f32 (/.f32 1/4 (*.f32 x x)))) 2) (cbrt.f32 (log1p.f32 (/.f32 1/4 (*.f32 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log1p.f32 (/.f32 1/4 (*.f32 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log1p.f32 (/.f32 1/4 (*.f32 x x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log1p.f32 (/.f32 1/4 (*.f32 x x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 (/.f32 1/4 (*.f32 x x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log1p.f32 (/.f32 1/4 (*.f32 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 (/.f32 1/4 (*.f32 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log1p.f32 (/.f32 1/4 (*.f32 x x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log1p.f32 (/.f32 1/4 (*.f32 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log1p.f32 (/.f32 1/4 (*.f32 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (log1p.f32 (/.f32 1/4 (*.f32 x x)))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (/.f32 1/4 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/4 (/.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1/4 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (/.f32 1/4 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1/2 (sqrt.f32 x)) (/.f32 1/2 (sqrt.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (/.f32 1/4 x)) (pow.f32 (cbrt.f32 (/.f32 1/4 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (/.f32 1/4 x)) 2) (cbrt.f32 (/.f32 1/4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 x) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1/4 (/.f32 1 (neg.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 1/4 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 1/2 (sqrt.f32 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (/.f32 1/4 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 1/4 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 x 4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (/.f32 1/16 (*.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (/.f32 1/4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (/.f32 1/4 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (/.f32 1/4 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (/.f32 1/4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (/.f32 1/4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (/.f32 1/4 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (/.f32 1/4 x))))))) |
| 1× | egg-herbie |
| 1604× | associate-/l* |
| 1132× | times-frac |
| 1126× | unswap-sqr |
| 934× | associate-/r* |
| 656× | *-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 198 | 1803 |
| 1 | 486 | 1739 |
| 2 | 2131 | 1739 |
| 1× | node limit |
| Inputs |
|---|
(/.f32 1/4 (pow.f32 x 2)) |
(/.f32 1/4 (pow.f32 x 2)) |
(/.f32 1/4 (pow.f32 x 2)) |
(/.f32 1/4 (pow.f32 x 2)) |
(/.f32 1/4 (pow.f32 x 2)) |
(/.f32 1/4 (pow.f32 x 2)) |
(/.f32 1/4 (pow.f32 x 2)) |
(/.f32 1/4 (pow.f32 x 2)) |
(/.f32 1/4 (pow.f32 x 2)) |
(/.f32 1/4 (pow.f32 x 2)) |
(/.f32 1/4 (pow.f32 x 2)) |
(/.f32 1/4 (pow.f32 x 2)) |
(+.f32 (*.f32 -2 (log.f32 x)) (log.f32 1/4)) |
(+.f32 (*.f32 4 (pow.f32 x 2)) (+.f32 (log.f32 1/4) (*.f32 -2 (log.f32 x)))) |
(+.f32 (*.f32 4 (pow.f32 x 2)) (+.f32 (*.f32 -8 (pow.f32 x 4)) (+.f32 (log.f32 1/4) (*.f32 -2 (log.f32 x))))) |
(+.f32 (*.f32 4 (pow.f32 x 2)) (+.f32 (*.f32 -8 (pow.f32 x 4)) (+.f32 (log.f32 1/4) (+.f32 (*.f32 -2 (log.f32 x)) (*.f32 64/3 (pow.f32 x 6)))))) |
(/.f32 1/4 (pow.f32 x 2)) |
(-.f32 (*.f32 1/4 (/.f32 1 (pow.f32 x 2))) (*.f32 1/32 (/.f32 1 (pow.f32 x 4)))) |
(-.f32 (+.f32 (*.f32 1/4 (/.f32 1 (pow.f32 x 2))) (*.f32 1/192 (/.f32 1 (pow.f32 x 6)))) (*.f32 1/32 (/.f32 1 (pow.f32 x 4)))) |
(-.f32 (+.f32 (*.f32 1/4 (/.f32 1 (pow.f32 x 2))) (*.f32 1/192 (/.f32 1 (pow.f32 x 6)))) (+.f32 (*.f32 1/1024 (/.f32 1 (pow.f32 x 8))) (*.f32 1/32 (/.f32 1 (pow.f32 x 4))))) |
(/.f32 1/4 (pow.f32 x 2)) |
(-.f32 (*.f32 1/4 (/.f32 1 (pow.f32 x 2))) (*.f32 1/32 (/.f32 1 (pow.f32 x 4)))) |
(-.f32 (+.f32 (*.f32 1/4 (/.f32 1 (pow.f32 x 2))) (*.f32 1/192 (/.f32 1 (pow.f32 x 6)))) (*.f32 1/32 (/.f32 1 (pow.f32 x 4)))) |
(-.f32 (+.f32 (*.f32 1/4 (/.f32 1 (pow.f32 x 2))) (*.f32 1/192 (/.f32 1 (pow.f32 x 6)))) (+.f32 (*.f32 1/1024 (/.f32 1 (pow.f32 x 8))) (*.f32 1/32 (/.f32 1 (pow.f32 x 4))))) |
(-.f32 (+.f32 (/.f32 1/4 (*.f32 x x)) 1) 1) |
(*.f32 1/4 (*.f32 (/.f32 1 x) (/.f32 1 x))) |
(*.f32 1/4 (/.f32 1 (*.f32 x x))) |
(*.f32 1/4 (/.f32 (/.f32 1 x) x)) |
(*.f32 (/.f32 1/4 x) (/.f32 1 x)) |
(*.f32 (/.f32 1/4 (*.f32 x x)) 1) |
(*.f32 1 (/.f32 1/4 (*.f32 x x))) |
(*.f32 (/.f32 1/2 (sqrt.f32 x)) (*.f32 (/.f32 1/2 (sqrt.f32 x)) (/.f32 1 x))) |
(*.f32 (/.f32 1/2 x) (/.f32 1/2 x)) |
(*.f32 (pow.f32 (cbrt.f32 (/.f32 1/4 x)) 2) (*.f32 (cbrt.f32 (/.f32 1/4 x)) (/.f32 1 x))) |
(*.f32 (cbrt.f32 (/.f32 1/4 (*.f32 x x))) (pow.f32 (cbrt.f32 (/.f32 1/4 (*.f32 x x))) 2)) |
(*.f32 (pow.f32 (cbrt.f32 (/.f32 1/4 (*.f32 x x))) 2) (cbrt.f32 (/.f32 1/4 (*.f32 x x)))) |
(*.f32 (/.f32 1 x) (/.f32 1/4 x)) |
(*.f32 (/.f32 -1/4 x) (/.f32 1 (neg.f32 x))) |
(*.f32 (/.f32 1 (sqrt.f32 x)) (/.f32 (/.f32 1/4 x) (sqrt.f32 x))) |
(*.f32 (/.f32 1 (pow.f32 (cbrt.f32 x) 2)) (/.f32 (/.f32 1/4 x) (cbrt.f32 x))) |
(*.f32 (/.f32 1/4 (sqrt.f32 x)) (/.f32 (/.f32 1 x) (sqrt.f32 x))) |
(*.f32 (/.f32 1/4 (pow.f32 (cbrt.f32 x) 2)) (/.f32 (/.f32 1 x) (cbrt.f32 x))) |
(*.f32 (/.f32 (/.f32 1/2 (sqrt.f32 x)) 1) (/.f32 (/.f32 1/2 (sqrt.f32 x)) x)) |
(*.f32 (/.f32 (/.f32 1/2 (sqrt.f32 x)) (pow.f32 (cbrt.f32 x) 2)) (/.f32 (/.f32 1/2 (sqrt.f32 x)) (cbrt.f32 x))) |
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (/.f32 1/4 x)) 2) 1) (/.f32 (cbrt.f32 (/.f32 1/4 x)) x)) |
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (/.f32 1/4 x)) 2) (sqrt.f32 x)) (/.f32 (cbrt.f32 (/.f32 1/4 x)) (sqrt.f32 x))) |
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (/.f32 1/4 x)) 2) (pow.f32 (cbrt.f32 x) 2)) (cbrt.f32 (/.f32 1/4 (*.f32 x x)))) |
(pow.f32 (/.f32 1/4 (*.f32 x x)) 1) |
(pow.f32 (/.f32 1/2 x) 2) |
(pow.f32 (cbrt.f32 (/.f32 1/4 (*.f32 x x))) 3) |
(pow.f32 (pow.f32 (/.f32 1/4 (*.f32 x x)) 3) 1/3) |
(pow.f32 (/.f32 x (/.f32 1/4 x)) -1) |
(neg.f32 (/.f32 (/.f32 1/4 x) (neg.f32 x))) |
(sqrt.f32 (pow.f32 (/.f32 1/4 (*.f32 x x)) 2)) |
(log.f32 (exp.f32 (/.f32 1/4 (*.f32 x x)))) |
(log.f32 (+.f32 1 (expm1.f32 (/.f32 1/4 (*.f32 x x))))) |
(cbrt.f32 (pow.f32 (/.f32 1/4 (*.f32 x x)) 3)) |
(expm1.f32 (log1p.f32 (/.f32 1/4 (*.f32 x x)))) |
(exp.f32 (log.f32 (/.f32 1/4 (*.f32 x x)))) |
(exp.f32 (*.f32 (log.f32 (/.f32 1/4 (*.f32 x x))) 1)) |
(log1p.f32 (expm1.f32 (/.f32 1/4 (*.f32 x x)))) |
(-.f32 (exp.f32 (log1p.f32 (log1p.f32 (/.f32 1/4 (*.f32 x x))))) 1) |
(*.f32 (log1p.f32 (/.f32 1/4 (*.f32 x x))) 1) |
(*.f32 1 (log1p.f32 (/.f32 1/4 (*.f32 x x)))) |
(*.f32 (sqrt.f32 (log1p.f32 (/.f32 1/4 (*.f32 x x)))) (sqrt.f32 (log1p.f32 (/.f32 1/4 (*.f32 x x))))) |
(*.f32 (cbrt.f32 (log1p.f32 (/.f32 1/4 (*.f32 x x)))) (pow.f32 (cbrt.f32 (log1p.f32 (/.f32 1/4 (*.f32 x x)))) 2)) |
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 (/.f32 1/4 (*.f32 x x)))) 2) (cbrt.f32 (log1p.f32 (/.f32 1/4 (*.f32 x x))))) |
(pow.f32 (log1p.f32 (/.f32 1/4 (*.f32 x x))) 1) |
(pow.f32 (sqrt.f32 (log1p.f32 (/.f32 1/4 (*.f32 x x)))) 2) |
(pow.f32 (cbrt.f32 (log1p.f32 (/.f32 1/4 (*.f32 x x)))) 3) |
(pow.f32 (pow.f32 (log1p.f32 (/.f32 1/4 (*.f32 x x))) 3) 1/3) |
(sqrt.f32 (pow.f32 (log1p.f32 (/.f32 1/4 (*.f32 x x))) 2)) |
(log.f32 (+.f32 (/.f32 1/4 (*.f32 x x)) 1)) |
(cbrt.f32 (pow.f32 (log1p.f32 (/.f32 1/4 (*.f32 x x))) 3)) |
(expm1.f32 (log1p.f32 (log1p.f32 (/.f32 1/4 (*.f32 x x))))) |
(exp.f32 (log.f32 (log1p.f32 (/.f32 1/4 (*.f32 x x))))) |
(exp.f32 (*.f32 (log.f32 (log1p.f32 (/.f32 1/4 (*.f32 x x)))) 1)) |
(-.f32 (exp.f32 (log1p.f32 (/.f32 1/4 x))) 1) |
(*.f32 1/4 (/.f32 1 x)) |
(*.f32 (/.f32 1/4 x) 1) |
(*.f32 1 (/.f32 1/4 x)) |
(*.f32 (/.f32 1/2 (sqrt.f32 x)) (/.f32 1/2 (sqrt.f32 x))) |
(*.f32 (cbrt.f32 (/.f32 1/4 x)) (pow.f32 (cbrt.f32 (/.f32 1/4 x)) 2)) |
(*.f32 (pow.f32 (cbrt.f32 (/.f32 1/4 x)) 2) (cbrt.f32 (/.f32 1/4 x))) |
(*.f32 (/.f32 1 x) 1/4) |
(*.f32 -1/4 (/.f32 1 (neg.f32 x))) |
(pow.f32 (/.f32 1/4 x) 1) |
(pow.f32 (/.f32 1/2 (sqrt.f32 x)) 2) |
(pow.f32 (cbrt.f32 (/.f32 1/4 x)) 3) |
(pow.f32 (pow.f32 (/.f32 1/4 x) 3) 1/3) |
(pow.f32 (*.f32 x 4) -1) |
(sqrt.f32 (/.f32 1/16 (*.f32 x x))) |
(log.f32 (exp.f32 (/.f32 1/4 x))) |
(log.f32 (+.f32 1 (expm1.f32 (/.f32 1/4 x)))) |
(cbrt.f32 (pow.f32 (/.f32 1/4 x) 3)) |
(expm1.f32 (log1p.f32 (/.f32 1/4 x))) |
(exp.f32 (log.f32 (/.f32 1/4 x))) |
(exp.f32 (*.f32 (log.f32 (/.f32 1/4 x)) 1)) |
(log1p.f32 (expm1.f32 (/.f32 1/4 x))) |
| Outputs |
|---|
(/.f32 1/4 (pow.f32 x 2)) |
(/.f32 1/4 (*.f32 x x)) |
(/.f32 1/4 (pow.f32 x 2)) |
(/.f32 1/4 (*.f32 x x)) |
(/.f32 1/4 (pow.f32 x 2)) |
(/.f32 1/4 (*.f32 x x)) |
(/.f32 1/4 (pow.f32 x 2)) |
(/.f32 1/4 (*.f32 x x)) |
(/.f32 1/4 (pow.f32 x 2)) |
(/.f32 1/4 (*.f32 x x)) |
(/.f32 1/4 (pow.f32 x 2)) |
(/.f32 1/4 (*.f32 x x)) |
(/.f32 1/4 (pow.f32 x 2)) |
(/.f32 1/4 (*.f32 x x)) |
(/.f32 1/4 (pow.f32 x 2)) |
(/.f32 1/4 (*.f32 x x)) |
(/.f32 1/4 (pow.f32 x 2)) |
(/.f32 1/4 (*.f32 x x)) |
(/.f32 1/4 (pow.f32 x 2)) |
(/.f32 1/4 (*.f32 x x)) |
(/.f32 1/4 (pow.f32 x 2)) |
(/.f32 1/4 (*.f32 x x)) |
(/.f32 1/4 (pow.f32 x 2)) |
(/.f32 1/4 (*.f32 x x)) |
(+.f32 (*.f32 -2 (log.f32 x)) (log.f32 1/4)) |
(fma.f32 -2 (log.f32 x) (log.f32 1/4)) |
(log.f32 (/.f32 1/4 (*.f32 x x))) |
(+.f32 (*.f32 4 (pow.f32 x 2)) (+.f32 (log.f32 1/4) (*.f32 -2 (log.f32 x)))) |
(fma.f32 4 (*.f32 x x) (fma.f32 -2 (log.f32 x) (log.f32 1/4))) |
(fma.f32 (*.f32 x x) 4 (fma.f32 -2 (log.f32 x) (log.f32 1/4))) |
(fma.f32 (*.f32 x x) 4 (log.f32 (/.f32 1/4 (*.f32 x x)))) |
(+.f32 (*.f32 4 (pow.f32 x 2)) (+.f32 (*.f32 -8 (pow.f32 x 4)) (+.f32 (log.f32 1/4) (*.f32 -2 (log.f32 x))))) |
(fma.f32 4 (*.f32 x x) (fma.f32 -8 (pow.f32 x 4) (fma.f32 -2 (log.f32 x) (log.f32 1/4)))) |
(fma.f32 (*.f32 x x) 4 (fma.f32 -8 (pow.f32 x 4) (fma.f32 -2 (log.f32 x) (log.f32 1/4)))) |
(fma.f32 (*.f32 x x) 4 (fma.f32 -8 (pow.f32 x 4) (log.f32 (/.f32 1/4 (*.f32 x x))))) |
(+.f32 (*.f32 4 (pow.f32 x 2)) (+.f32 (*.f32 -8 (pow.f32 x 4)) (+.f32 (log.f32 1/4) (+.f32 (*.f32 -2 (log.f32 x)) (*.f32 64/3 (pow.f32 x 6)))))) |
(fma.f32 4 (*.f32 x x) (fma.f32 -8 (pow.f32 x 4) (+.f32 (log.f32 1/4) (fma.f32 -2 (log.f32 x) (*.f32 64/3 (pow.f32 x 6)))))) |
(+.f32 (fma.f32 (*.f32 x x) 4 (fma.f32 -8 (pow.f32 x 4) (fma.f32 -2 (log.f32 x) (log.f32 1/4)))) (*.f32 64/3 (pow.f32 x 6))) |
(+.f32 (fma.f32 (*.f32 x x) 4 (fma.f32 -8 (pow.f32 x 4) (log.f32 (/.f32 1/4 (*.f32 x x))))) (*.f32 64/3 (pow.f32 x 6))) |
(/.f32 1/4 (pow.f32 x 2)) |
(/.f32 1/4 (*.f32 x x)) |
(-.f32 (*.f32 1/4 (/.f32 1 (pow.f32 x 2))) (*.f32 1/32 (/.f32 1 (pow.f32 x 4)))) |
(-.f32 (/.f32 1/4 (*.f32 x x)) (/.f32 1/32 (pow.f32 x 4))) |
(+.f32 (/.f32 1/4 (*.f32 x x)) (/.f32 -1/32 (pow.f32 x 4))) |
(-.f32 (+.f32 (*.f32 1/4 (/.f32 1 (pow.f32 x 2))) (*.f32 1/192 (/.f32 1 (pow.f32 x 6)))) (*.f32 1/32 (/.f32 1 (pow.f32 x 4)))) |
(+.f32 (/.f32 1/4 (*.f32 x x)) (-.f32 (/.f32 1/192 (pow.f32 x 6)) (/.f32 1/32 (pow.f32 x 4)))) |
(+.f32 (/.f32 1/192 (pow.f32 x 6)) (+.f32 (/.f32 1/4 (*.f32 x x)) (/.f32 -1/32 (pow.f32 x 4)))) |
(+.f32 (+.f32 (/.f32 1/4 (*.f32 x x)) (/.f32 -1/32 (pow.f32 x 4))) (/.f32 1/192 (pow.f32 x 6))) |
(-.f32 (+.f32 (*.f32 1/4 (/.f32 1 (pow.f32 x 2))) (*.f32 1/192 (/.f32 1 (pow.f32 x 6)))) (+.f32 (*.f32 1/1024 (/.f32 1 (pow.f32 x 8))) (*.f32 1/32 (/.f32 1 (pow.f32 x 4))))) |
(-.f32 (+.f32 (/.f32 1/192 (pow.f32 x 6)) (/.f32 1/4 (*.f32 x x))) (+.f32 (/.f32 1/32 (pow.f32 x 4)) (/.f32 1/1024 (pow.f32 x 8)))) |
(+.f32 (+.f32 (/.f32 1/192 (pow.f32 x 6)) (-.f32 (/.f32 1/4 (*.f32 x x)) (/.f32 1/1024 (pow.f32 x 8)))) (/.f32 -1/32 (pow.f32 x 4))) |
(+.f32 (/.f32 1/192 (pow.f32 x 6)) (+.f32 (+.f32 (/.f32 1/4 (*.f32 x x)) (/.f32 -1/32 (pow.f32 x 4))) (/.f32 -1/1024 (pow.f32 x 8)))) |
(/.f32 1/4 (pow.f32 x 2)) |
(/.f32 1/4 (*.f32 x x)) |
(-.f32 (*.f32 1/4 (/.f32 1 (pow.f32 x 2))) (*.f32 1/32 (/.f32 1 (pow.f32 x 4)))) |
(-.f32 (/.f32 1/4 (*.f32 x x)) (/.f32 1/32 (pow.f32 x 4))) |
(+.f32 (/.f32 1/4 (*.f32 x x)) (/.f32 -1/32 (pow.f32 x 4))) |
(-.f32 (+.f32 (*.f32 1/4 (/.f32 1 (pow.f32 x 2))) (*.f32 1/192 (/.f32 1 (pow.f32 x 6)))) (*.f32 1/32 (/.f32 1 (pow.f32 x 4)))) |
(+.f32 (/.f32 1/4 (*.f32 x x)) (-.f32 (/.f32 1/192 (pow.f32 x 6)) (/.f32 1/32 (pow.f32 x 4)))) |
(+.f32 (/.f32 1/192 (pow.f32 x 6)) (+.f32 (/.f32 1/4 (*.f32 x x)) (/.f32 -1/32 (pow.f32 x 4)))) |
(+.f32 (+.f32 (/.f32 1/4 (*.f32 x x)) (/.f32 -1/32 (pow.f32 x 4))) (/.f32 1/192 (pow.f32 x 6))) |
(-.f32 (+.f32 (*.f32 1/4 (/.f32 1 (pow.f32 x 2))) (*.f32 1/192 (/.f32 1 (pow.f32 x 6)))) (+.f32 (*.f32 1/1024 (/.f32 1 (pow.f32 x 8))) (*.f32 1/32 (/.f32 1 (pow.f32 x 4))))) |
(-.f32 (+.f32 (/.f32 1/192 (pow.f32 x 6)) (/.f32 1/4 (*.f32 x x))) (+.f32 (/.f32 1/32 (pow.f32 x 4)) (/.f32 1/1024 (pow.f32 x 8)))) |
(+.f32 (+.f32 (/.f32 1/192 (pow.f32 x 6)) (-.f32 (/.f32 1/4 (*.f32 x x)) (/.f32 1/1024 (pow.f32 x 8)))) (/.f32 -1/32 (pow.f32 x 4))) |
(+.f32 (/.f32 1/192 (pow.f32 x 6)) (+.f32 (+.f32 (/.f32 1/4 (*.f32 x x)) (/.f32 -1/32 (pow.f32 x 4))) (/.f32 -1/1024 (pow.f32 x 8)))) |
(-.f32 (+.f32 (/.f32 1/4 (*.f32 x x)) 1) 1) |
(/.f32 1/4 (*.f32 x x)) |
(*.f32 1/4 (*.f32 (/.f32 1 x) (/.f32 1 x))) |
(/.f32 1/4 (*.f32 x x)) |
(*.f32 1/4 (/.f32 1 (*.f32 x x))) |
(/.f32 1/4 (*.f32 x x)) |
(*.f32 1/4 (/.f32 (/.f32 1 x) x)) |
(/.f32 1/4 (*.f32 x x)) |
(*.f32 (/.f32 1/4 x) (/.f32 1 x)) |
(/.f32 1/4 (*.f32 x x)) |
(*.f32 (/.f32 1/4 (*.f32 x x)) 1) |
(/.f32 1/4 (*.f32 x x)) |
(*.f32 1 (/.f32 1/4 (*.f32 x x))) |
(/.f32 1/4 (*.f32 x x)) |
(*.f32 (/.f32 1/2 (sqrt.f32 x)) (*.f32 (/.f32 1/2 (sqrt.f32 x)) (/.f32 1 x))) |
(*.f32 (pow.f32 (/.f32 1/2 (sqrt.f32 x)) 2) (/.f32 1 x)) |
(/.f32 (pow.f32 (/.f32 1/2 (sqrt.f32 x)) 2) x) |
(*.f32 (/.f32 1/2 x) (/.f32 1/2 x)) |
(/.f32 1/4 (*.f32 x x)) |
(*.f32 (pow.f32 (cbrt.f32 (/.f32 1/4 x)) 2) (*.f32 (cbrt.f32 (/.f32 1/4 x)) (/.f32 1 x))) |
(/.f32 1/4 (*.f32 x x)) |
(*.f32 (cbrt.f32 (/.f32 1/4 (*.f32 x x))) (pow.f32 (cbrt.f32 (/.f32 1/4 (*.f32 x x))) 2)) |
(/.f32 1/4 (*.f32 x x)) |
(*.f32 (pow.f32 (cbrt.f32 (/.f32 1/4 (*.f32 x x))) 2) (cbrt.f32 (/.f32 1/4 (*.f32 x x)))) |
(/.f32 1/4 (*.f32 x x)) |
(*.f32 (/.f32 1 x) (/.f32 1/4 x)) |
(/.f32 1/4 (*.f32 x x)) |
(*.f32 (/.f32 -1/4 x) (/.f32 1 (neg.f32 x))) |
(/.f32 1/4 (*.f32 x x)) |
(*.f32 (/.f32 1 (sqrt.f32 x)) (/.f32 (/.f32 1/4 x) (sqrt.f32 x))) |
(*.f32 (pow.f32 (/.f32 1/2 (sqrt.f32 x)) 2) (/.f32 1 x)) |
(/.f32 (pow.f32 (/.f32 1/2 (sqrt.f32 x)) 2) x) |
(*.f32 (/.f32 1 (pow.f32 (cbrt.f32 x) 2)) (/.f32 (/.f32 1/4 x) (cbrt.f32 x))) |
(*.f32 (/.f32 1 (pow.f32 (cbrt.f32 x) 2)) (/.f32 1/4 (*.f32 (cbrt.f32 x) x))) |
(/.f32 (/.f32 1/4 (*.f32 x (cbrt.f32 x))) (pow.f32 (cbrt.f32 x) 2)) |
(/.f32 1/4 (*.f32 (pow.f32 (cbrt.f32 x) 2) (*.f32 x (cbrt.f32 x)))) |
(*.f32 (/.f32 1/4 (sqrt.f32 x)) (/.f32 (/.f32 1 x) (sqrt.f32 x))) |
(*.f32 (pow.f32 (/.f32 1/2 (sqrt.f32 x)) 2) (/.f32 1 x)) |
(/.f32 (pow.f32 (/.f32 1/2 (sqrt.f32 x)) 2) x) |
(*.f32 (/.f32 1/4 (pow.f32 (cbrt.f32 x) 2)) (/.f32 (/.f32 1 x) (cbrt.f32 x))) |
(*.f32 (/.f32 1 (pow.f32 (cbrt.f32 x) 2)) (/.f32 1/4 (*.f32 (cbrt.f32 x) x))) |
(/.f32 (/.f32 1/4 (*.f32 x (cbrt.f32 x))) (pow.f32 (cbrt.f32 x) 2)) |
(/.f32 1/4 (*.f32 (pow.f32 (cbrt.f32 x) 2) (*.f32 x (cbrt.f32 x)))) |
(*.f32 (/.f32 (/.f32 1/2 (sqrt.f32 x)) 1) (/.f32 (/.f32 1/2 (sqrt.f32 x)) x)) |
(*.f32 (pow.f32 (/.f32 1/2 (sqrt.f32 x)) 2) (/.f32 1 x)) |
(/.f32 (pow.f32 (/.f32 1/2 (sqrt.f32 x)) 2) x) |
(*.f32 (/.f32 (/.f32 1/2 (sqrt.f32 x)) (pow.f32 (cbrt.f32 x) 2)) (/.f32 (/.f32 1/2 (sqrt.f32 x)) (cbrt.f32 x))) |
(/.f32 (/.f32 (pow.f32 (/.f32 1/2 (sqrt.f32 x)) 2) (pow.f32 (cbrt.f32 x) 2)) (cbrt.f32 x)) |
(/.f32 (pow.f32 (/.f32 1/2 (sqrt.f32 x)) 2) (*.f32 (pow.f32 (cbrt.f32 x) 2) (cbrt.f32 x))) |
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (/.f32 1/4 x)) 2) 1) (/.f32 (cbrt.f32 (/.f32 1/4 x)) x)) |
(/.f32 1/4 (*.f32 x x)) |
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (/.f32 1/4 x)) 2) (sqrt.f32 x)) (/.f32 (cbrt.f32 (/.f32 1/4 x)) (sqrt.f32 x))) |
(*.f32 (pow.f32 (/.f32 1/2 (sqrt.f32 x)) 2) (/.f32 1 x)) |
(/.f32 (pow.f32 (/.f32 1/2 (sqrt.f32 x)) 2) x) |
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (/.f32 1/4 x)) 2) (pow.f32 (cbrt.f32 x) 2)) (cbrt.f32 (/.f32 1/4 (*.f32 x x)))) |
(*.f32 (cbrt.f32 (/.f32 1/4 (*.f32 x x))) (/.f32 (pow.f32 (cbrt.f32 (/.f32 1/4 x)) 2) (pow.f32 (cbrt.f32 x) 2))) |
(/.f32 (pow.f32 (cbrt.f32 (/.f32 1/4 x)) 2) (/.f32 (pow.f32 (cbrt.f32 x) 2) (cbrt.f32 (/.f32 1/4 (*.f32 x x))))) |
(pow.f32 (/.f32 1/4 (*.f32 x x)) 1) |
(/.f32 1/4 (*.f32 x x)) |
(pow.f32 (/.f32 1/2 x) 2) |
(/.f32 1/4 (*.f32 x x)) |
(pow.f32 (cbrt.f32 (/.f32 1/4 (*.f32 x x))) 3) |
(/.f32 1/4 (*.f32 x x)) |
(pow.f32 (pow.f32 (/.f32 1/4 (*.f32 x x)) 3) 1/3) |
(/.f32 1/4 (*.f32 x x)) |
(pow.f32 (/.f32 x (/.f32 1/4 x)) -1) |
(/.f32 1/4 (*.f32 x x)) |
(neg.f32 (/.f32 (/.f32 1/4 x) (neg.f32 x))) |
(/.f32 1/4 (*.f32 x x)) |
(sqrt.f32 (pow.f32 (/.f32 1/4 (*.f32 x x)) 2)) |
(fabs.f32 (/.f32 1/4 (*.f32 x x))) |
(sqrt.f32 (pow.f32 (/.f32 1/2 x) 4)) |
(log.f32 (exp.f32 (/.f32 1/4 (*.f32 x x)))) |
(/.f32 1/4 (*.f32 x x)) |
(log.f32 (+.f32 1 (expm1.f32 (/.f32 1/4 (*.f32 x x))))) |
(/.f32 1/4 (*.f32 x x)) |
(cbrt.f32 (pow.f32 (/.f32 1/4 (*.f32 x x)) 3)) |
(/.f32 1/4 (*.f32 x x)) |
(expm1.f32 (log1p.f32 (/.f32 1/4 (*.f32 x x)))) |
(/.f32 1/4 (*.f32 x x)) |
(exp.f32 (log.f32 (/.f32 1/4 (*.f32 x x)))) |
(/.f32 1/4 (*.f32 x x)) |
(exp.f32 (*.f32 (log.f32 (/.f32 1/4 (*.f32 x x))) 1)) |
(/.f32 1/4 (*.f32 x x)) |
(log1p.f32 (expm1.f32 (/.f32 1/4 (*.f32 x x)))) |
(/.f32 1/4 (*.f32 x x)) |
(-.f32 (exp.f32 (log1p.f32 (log1p.f32 (/.f32 1/4 (*.f32 x x))))) 1) |
(log1p.f32 (/.f32 1/4 (*.f32 x x))) |
(*.f32 (log1p.f32 (/.f32 1/4 (*.f32 x x))) 1) |
(log1p.f32 (/.f32 1/4 (*.f32 x x))) |
(*.f32 1 (log1p.f32 (/.f32 1/4 (*.f32 x x)))) |
(log1p.f32 (/.f32 1/4 (*.f32 x x))) |
(*.f32 (sqrt.f32 (log1p.f32 (/.f32 1/4 (*.f32 x x)))) (sqrt.f32 (log1p.f32 (/.f32 1/4 (*.f32 x x))))) |
(log1p.f32 (/.f32 1/4 (*.f32 x x))) |
(*.f32 (cbrt.f32 (log1p.f32 (/.f32 1/4 (*.f32 x x)))) (pow.f32 (cbrt.f32 (log1p.f32 (/.f32 1/4 (*.f32 x x)))) 2)) |
(log1p.f32 (/.f32 1/4 (*.f32 x x))) |
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 (/.f32 1/4 (*.f32 x x)))) 2) (cbrt.f32 (log1p.f32 (/.f32 1/4 (*.f32 x x))))) |
(log1p.f32 (/.f32 1/4 (*.f32 x x))) |
(pow.f32 (log1p.f32 (/.f32 1/4 (*.f32 x x))) 1) |
(log1p.f32 (/.f32 1/4 (*.f32 x x))) |
(pow.f32 (sqrt.f32 (log1p.f32 (/.f32 1/4 (*.f32 x x)))) 2) |
(log1p.f32 (/.f32 1/4 (*.f32 x x))) |
(pow.f32 (cbrt.f32 (log1p.f32 (/.f32 1/4 (*.f32 x x)))) 3) |
(log1p.f32 (/.f32 1/4 (*.f32 x x))) |
(pow.f32 (pow.f32 (log1p.f32 (/.f32 1/4 (*.f32 x x))) 3) 1/3) |
(log1p.f32 (/.f32 1/4 (*.f32 x x))) |
(sqrt.f32 (pow.f32 (log1p.f32 (/.f32 1/4 (*.f32 x x))) 2)) |
(fabs.f32 (log1p.f32 (/.f32 1/4 (*.f32 x x)))) |
(log.f32 (+.f32 (/.f32 1/4 (*.f32 x x)) 1)) |
(log1p.f32 (/.f32 1/4 (*.f32 x x))) |
(cbrt.f32 (pow.f32 (log1p.f32 (/.f32 1/4 (*.f32 x x))) 3)) |
(log1p.f32 (/.f32 1/4 (*.f32 x x))) |
(expm1.f32 (log1p.f32 (log1p.f32 (/.f32 1/4 (*.f32 x x))))) |
(log1p.f32 (/.f32 1/4 (*.f32 x x))) |
(exp.f32 (log.f32 (log1p.f32 (/.f32 1/4 (*.f32 x x))))) |
(log1p.f32 (/.f32 1/4 (*.f32 x x))) |
(exp.f32 (*.f32 (log.f32 (log1p.f32 (/.f32 1/4 (*.f32 x x)))) 1)) |
(log1p.f32 (/.f32 1/4 (*.f32 x x))) |
(-.f32 (exp.f32 (log1p.f32 (/.f32 1/4 x))) 1) |
(/.f32 1/4 x) |
(*.f32 1/4 (/.f32 1 x)) |
(/.f32 1/4 x) |
(*.f32 (/.f32 1/4 x) 1) |
(/.f32 1/4 x) |
(*.f32 1 (/.f32 1/4 x)) |
(/.f32 1/4 x) |
(*.f32 (/.f32 1/2 (sqrt.f32 x)) (/.f32 1/2 (sqrt.f32 x))) |
(pow.f32 (/.f32 1/2 (sqrt.f32 x)) 2) |
(*.f32 (cbrt.f32 (/.f32 1/4 x)) (pow.f32 (cbrt.f32 (/.f32 1/4 x)) 2)) |
(/.f32 1/4 x) |
(*.f32 (pow.f32 (cbrt.f32 (/.f32 1/4 x)) 2) (cbrt.f32 (/.f32 1/4 x))) |
(/.f32 1/4 x) |
(*.f32 (/.f32 1 x) 1/4) |
(/.f32 1/4 x) |
(*.f32 -1/4 (/.f32 1 (neg.f32 x))) |
(/.f32 1/4 x) |
(pow.f32 (/.f32 1/4 x) 1) |
(/.f32 1/4 x) |
(pow.f32 (/.f32 1/2 (sqrt.f32 x)) 2) |
(pow.f32 (cbrt.f32 (/.f32 1/4 x)) 3) |
(/.f32 1/4 x) |
(pow.f32 (pow.f32 (/.f32 1/4 x) 3) 1/3) |
(/.f32 1/4 x) |
(pow.f32 (*.f32 x 4) -1) |
(/.f32 1/4 x) |
(sqrt.f32 (/.f32 1/16 (*.f32 x x))) |
(log.f32 (exp.f32 (/.f32 1/4 x))) |
(/.f32 1/4 x) |
(log.f32 (+.f32 1 (expm1.f32 (/.f32 1/4 x)))) |
(/.f32 1/4 x) |
(cbrt.f32 (pow.f32 (/.f32 1/4 x) 3)) |
(/.f32 1/4 x) |
(expm1.f32 (log1p.f32 (/.f32 1/4 x))) |
(/.f32 1/4 x) |
(exp.f32 (log.f32 (/.f32 1/4 x))) |
(/.f32 1/4 x) |
(exp.f32 (*.f32 (log.f32 (/.f32 1/4 x)) 1)) |
(/.f32 1/4 x) |
(log1p.f32 (expm1.f32 (/.f32 1/4 x))) |
(/.f32 1/4 x) |
Compiled 11911 to 8881 computations (25.4% saved)
19 alts after pruning (9 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 600 | 7 | 607 |
| Fresh | 1 | 2 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 5 | 9 | 14 |
| Total | 606 | 19 | 625 |
| Status | Error | Program |
|---|---|---|
| 89.8% | (-.f32 (/.f32 1 x) (*.f32 1/2 (/.f32 1 (pow.f32 x 2)))) | |
| 91.91% | (-.f32 (/.f32 1/4 (*.f32 x x)) (/.f32 1/32 (pow.f32 x 4))) | |
| 1.85% | (-.f32 (log.f32 (*.f32 x 2)) (/.f32 1/4 (*.f32 x x))) | |
| 88.47% | (+.f32 x (neg.f32 (log.f32 x))) | |
| 2.28% | (neg.f32 (log.f32 (/.f32 1/2 x))) | |
| ✓ | 91.92% | (log1p.f32 (/.f32 (/.f32 1/4 x) x)) |
| 89.81% | (log1p.f32 (/.f32 1 x)) | |
| ✓ | 2.68% | (log1p.f32 (-.f32 (+.f32 x x) 1)) |
| ✓ | 1.81% | (log1p.f32 (+.f32 (+.f32 x x) (-.f32 (/.f32 -1/2 x) 1))) |
| 91.92% | (log1p.f32 (*.f32 (/.f32 1 x) (/.f32 1/4 x))) | |
| ✓ | 81.24% | (log1p.f32 1/8) |
| ✓ | 1.77% | (log.f32 (-.f32 (*.f32 x 2) (/.f32 1/2 x))) |
| ✓ | 1.76% | (log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x)))) |
| ✓ | 52.03% | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1)))) |
| 52.01% | (log.f32 (+.f32 x (sqrt.f32 (+.f32 (+.f32 (neg.f32 (+.f32 x 1)) (*.f32 x x)) x)))) | |
| ✓ | 51.99% | (log.f32 (+.f32 x (sqrt.f32 (*.f32 (+.f32 x 1) (+.f32 x -1))))) |
| ✓ | 2.65% | (log.f32 (+.f32 x x)) |
| ✓ | 55.77% | (log.f32 x) |
| 93.89% | 0 |
Compiled 154 to 114 computations (26% saved)
| Inputs |
|---|
0 |
(log.f32 x) |
(log1p.f32 1/8) |
(log.f32 (+.f32 x x)) |
(log.f32 (/.f32 1/2 x)) |
(log1p.f32 (/.f32 1 x)) |
(neg.f32 (log.f32 (/.f32 1/2 x))) |
(+.f32 x (neg.f32 (log.f32 x))) |
(log.f32 (/.f32 1 (/.f32 1/2 x))) |
(log1p.f32 (-.f32 (+.f32 x x) 1)) |
(log1p.f32 (/.f32 2 (+.f32 x x))) |
(log1p.f32 (/.f32 (/.f32 1/4 x) x)) |
(log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x)))) |
(log.f32 (-.f32 (*.f32 x 2) (/.f32 1/2 x))) |
(log1p.f32 (*.f32 (/.f32 1 x) (/.f32 1/4 x))) |
(log1p.f32 (*.f32 (*.f32 (/.f32 1 x) (/.f32 1 x)) 1/4)) |
(log1p.f32 (+.f32 (+.f32 x x) (-.f32 (/.f32 -1/2 x) 1))) |
(-.f32 (log.f32 (*.f32 x 2)) (/.f32 1/4 (*.f32 x x))) |
(-.f32 (/.f32 1/4 (*.f32 x x)) (/.f32 1/32 (pow.f32 x 4))) |
(-.f32 (/.f32 1 x) (*.f32 1/2 (/.f32 1 (pow.f32 x 2)))) |
(log.f32 (/.f32 1 (/.f32 1 (+.f32 (/.f32 -1/2 x) (+.f32 x x))))) |
(+.f32 (log.f32 2) (log.f32 x)) |
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1)))) |
(log.f32 (+.f32 x (sqrt.f32 (*.f32 (+.f32 x 1) (+.f32 x -1))))) |
(+.f32 (+.f32 (log.f32 2) (log.f32 x)) (/.f32 -1/4 (*.f32 x x))) |
(log.f32 (+.f32 x (sqrt.f32 (+.f32 (+.f32 (neg.f32 (+.f32 x 1)) (*.f32 x x)) x)))) |
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) |
(log.f32 (+.f32 x (sqrt.f32 (expm1.f32 (*.f32 (log.f32 x) 2))))) |
| Outputs |
|---|
(log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x)))) |
3 calls:
| 55.0ms | (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))) |
| 12.0ms | x |
| 10.0ms | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1)))) |
| Error | Segments | Branch |
|---|---|---|
| 1.76% | 1 | x |
| 1.76% | 1 | (log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1)))) |
| 1.76% | 1 | (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))) |
Compiled 228 to 151 computations (33.8% saved)
| Inputs |
|---|
0 |
(log.f32 x) |
(log1p.f32 1/8) |
(log.f32 (+.f32 x x)) |
(log.f32 (/.f32 1/2 x)) |
(log1p.f32 (/.f32 1 x)) |
(neg.f32 (log.f32 (/.f32 1/2 x))) |
(+.f32 x (neg.f32 (log.f32 x))) |
(log.f32 (/.f32 1 (/.f32 1/2 x))) |
(log1p.f32 (-.f32 (+.f32 x x) 1)) |
(log1p.f32 (/.f32 2 (+.f32 x x))) |
(log1p.f32 (/.f32 (/.f32 1/4 x) x)) |
| Outputs |
|---|
(neg.f32 (log.f32 (/.f32 1/2 x))) |
1 calls:
| 6.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 2.28% | 1 | x |
Compiled 54 to 35 computations (35.2% saved)
| Inputs |
|---|
0 |
(log.f32 x) |
(log1p.f32 1/8) |
(log.f32 (+.f32 x x)) |
(log.f32 (/.f32 1/2 x)) |
(log1p.f32 (/.f32 1 x)) |
| Outputs |
|---|
(log.f32 (+.f32 x x)) |
1 calls:
| 7.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 2.65% | 1 | x |
Compiled 20 to 14 computations (30% saved)
Total -12.2b remaining (-68.4%)
Threshold costs -12.2b (-68.4%)
| Inputs |
|---|
0 |
(log.f32 x) |
(log1p.f32 1/8) |
| Outputs |
|---|
(log.f32 x) |
1 calls:
| 3.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 55.77% | 1 | x |
Compiled 8 to 6 computations (25% saved)
| 1× | egg-herbie |
| 8× | +-commutative |
| 6× | sub-neg |
| 4× | neg-mul-1 |
| 4× | *-commutative |
| 4× | neg-sub0 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 55 |
| 1 | 21 | 55 |
| 2 | 29 | 55 |
| 3 | 32 | 55 |
| 4 | 33 | 55 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x)))) |
(neg.f32 (log.f32 (/.f32 1/2 x))) |
(log.f32 (+.f32 x x)) |
(log.f32 x) |
0 |
| Outputs |
|---|
(log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x)))) |
(log.f32 (+.f32 x (+.f32 x (/.f32 -1/2 x)))) |
(neg.f32 (log.f32 (/.f32 1/2 x))) |
(log.f32 (+.f32 x x)) |
(log.f32 x) |
0 |
Compiled 25 to 18 computations (28% saved)
| 1× | egg-herbie |
| 786× | associate-*r* |
| 664× | associate-*l* |
| 660× | fma-def |
| 576× | associate-/l* |
| 542× | associate-+r- |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 676 | 11578 |
| 1 | 1768 | 10740 |
| 2 | 7720 | 10740 |
| 1× | node limit |
Compiled 29 to 20 computations (31% saved)
Compiled 21 to 14 computations (33.3% saved)
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