Time bar (total: 11.3s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.9% | 0.1% | 0 |
| 0% | 99.9% | 0.1% | 1 |
| 0% | 99.9% | 0.1% | 2 |
| 0% | 99.9% | 0.1% | 3 |
| 0% | 99.9% | 0.1% | 4 |
| 0% | 99.9% | 0.1% | 5 |
| 0% | 87.4% | 12.6% | 6 |
| 20.3% | 59.3% | 20.4% | 7 |
| 21.1% | 51.5% | 27.4% | 8 |
| 35.5% | 30.4% | 34% | 9 |
| 35.7% | 26.1% | 38.1% | 10 |
| 42.8% | 15.4% | 41.8% | 11 |
| 42.9% | 13.2% | 44% | 12 |
Compiled 32 to 26 computations (18.8% saved)
| 2.0s | 2077× | body | 1024 | valid |
| 1.3s | 4947× | body | 256 | valid |
| 478.0ms | 996× | body | 512 | valid |
| 361.0ms | 900× | body | 256 | invalid |
| 298.0ms | 236× | body | 2048 | valid |
| 18.0ms | 23× | body | 1024 | invalid |
| 4.0ms | 10× | body | 512 | invalid |
| 2× | egg-herbie |
| 572× | associate-*l/_binary64 |
| 464× | associate-/l/_binary64 |
| 345× | associate-/r/_binary64 |
| 239× | fma-def_binary64 |
| 238× | distribute-rgt-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 90 |
| 1 | 103 | 90 |
| 2 | 299 | 74 |
| 3 | 1028 | 74 |
| 4 | 3311 | 74 |
| 0 | 2 | 2 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2) |
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 x)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 x) eps)))) (*.f64 (-.f64 (/.f64 1 x) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 x) eps))))) 2) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2) |
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (neg.f64 (+.f64 1 eps)) x)))) 2) |
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) (neg.f64 x)) (+.f64 (neg.f64 (/.f64 1 eps)) 1))) 2) |
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))) 2) |
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))) 2) |
(*.f64 1/2 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))))) |
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 x)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 x) eps)))) (*.f64 (-.f64 (/.f64 1 x) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 x) eps))))) 2) |
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 x)) (exp.f64 (*.f64 (-.f64 1 x) (neg.f64 eps)))) (*.f64 (+.f64 (/.f64 1 x) -1) (exp.f64 (*.f64 (+.f64 1 x) (neg.f64 eps))))) 2) |
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 x)) (pow.f64 (exp.f64 (-.f64 1 x)) (neg.f64 eps)) (*.f64 (pow.f64 (exp.f64 (+.f64 1 x)) (neg.f64 eps)) (+.f64 (neg.f64 (/.f64 1 x)) 1))) 2) |
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 x)) (pow.f64 (exp.f64 eps) (+.f64 x -1)) (/.f64 (+.f64 1 (/.f64 -1 x)) (exp.f64 (fma.f64 eps x eps)))) 2) |
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 x)) (pow.f64 (exp.f64 eps) (+.f64 x -1)) (/.f64 (-.f64 1 (/.f64 1 x)) (exp.f64 (fma.f64 eps x eps)))) 2) |
(*.f64 1/2 (fma.f64 (+.f64 1 (/.f64 1 x)) (pow.f64 (exp.f64 eps) (+.f64 x -1)) (/.f64 (+.f64 1 (/.f64 -1 x)) (exp.f64 (fma.f64 eps x eps))))) |
Compiled 33 to 27 computations (18.2% saved)
| 1× | egg-herbie |
| 750× | times-frac_binary64 |
| 534× | cancel-sign-sub-inv_binary64 |
| 519× | fma-neg_binary64 |
| 479× | associate-/l*_binary64 |
| 366× | associate-*l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 45 |
| 1 | 57 | 45 |
| 2 | 159 | 37 |
| 3 | 541 | 37 |
| 4 | 1697 | 37 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2) |
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2) |
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (neg.f64 (+.f64 1 eps))) x))) 2) |
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))) 2) |
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))) 2) |
(*.f64 1/2 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))))) |
Compiled 56 to 43 computations (23.2% 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 |
|---|---|---|
| ▶ | 28.0b | (*.f64 1/2 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))))) |
| ▶ | 27.1b | (/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2) |
Compiled 58 to 45 computations (22.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))) |
| ✓ | 0.0b | (exp.f64 (fma.f64 eps x x)) |
| ✓ | 0.3b | (pow.f64 (exp.f64 x) (+.f64 eps -1)) |
| ✓ | 5.1b | (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))) |
Compiled 102 to 58 computations (43.1% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 90.0ms | x | @ | inf | (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))) |
| 19.0ms | x | @ | -inf | (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))) |
| 5.0ms | eps | @ | inf | (pow.f64 (exp.f64 x) (+.f64 eps -1)) |
| 5.0ms | x | @ | 0 | (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))) |
| 4.0ms | eps | @ | 0 | (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))) |
| 1× | batch-egg-rewrite |
| 641× | prod-diff_binary64 |
| 325× | fma-def_binary64 |
| 263× | expm1-udef_binary64 |
| 263× | log1p-udef_binary64 |
| 232× | log-pow_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 66 |
| 1 | 351 | 64 |
| 2 | 5038 | 64 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))) |
(pow.f64 (exp.f64 x) (+.f64 eps -1)) |
(exp.f64 (fma.f64 eps x x)) |
(/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1)))) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1)))) 1) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 2) (cbrt.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) (sqrt.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1)))) 3) (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 3)) (fma.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1)))) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1)))) (-.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 2) (*.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1)))) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1)))) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1))))) (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 2)) (-.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1)))) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) (exp.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) (exp.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1))))) (+.f64 1 (expm1.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))) 2) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 x) eps) (/.f64 1 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))) (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 (+.f64 eps -1)) (pow.f64 (exp.f64 x) (+.f64 eps -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (+.f64 eps -1)) (pow.f64 (cbrt.f64 (exp.f64 x)) (+.f64 eps -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (+.f64 eps -1)) (pow.f64 (sqrt.f64 (exp.f64 x)) (+.f64 eps -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 2 (+.f64 eps -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 x (+.f64 eps -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 x (+.f64 eps -1)) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (fma.f64 eps x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (fma.f64 eps x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (fma.f64 eps x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2) (cbrt.f64 (exp.f64 (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) (sqrt.f64 (exp.f64 (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 x) eps) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (fma.f64 eps x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (fma.f64 eps x x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 eps x x)) 2)) (cbrt.f64 (fma.f64 eps x x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (fma.f64 eps x x))) (sqrt.f64 (fma.f64 eps x x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (fma.f64 eps x x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 2) (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) (exp.f64 (neg.f64 (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (*.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (exp.f64 (neg.f64 (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (/.f64 1 eps)) (/.f64 1 (neg.f64 (exp.f64 (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 1 (/.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) (exp.f64 (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (pow.f64 eps -1/2)) 1) (/.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (exp.f64 (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2)) (/.f64 (+.f64 1 (/.f64 1 eps)) (cbrt.f64 (exp.f64 (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2)) (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) 2)) (/.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (cbrt.f64 (exp.f64 (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (exp.f64 (fma.f64 eps x x)))) (/.f64 (+.f64 1 (/.f64 1 eps)) (sqrt.f64 (exp.f64 (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) 2) (sqrt.f64 (exp.f64 (fma.f64 eps x x)))) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 1 eps))) (sqrt.f64 (exp.f64 (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (-.f64 (fma.f64 eps x x) (log1p.f64 (/.f64 1 eps)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1 (/.f64 1 eps)) (neg.f64 (exp.f64 (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 1 eps)) 3) (pow.f64 (exp.f64 (fma.f64 eps x x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 (/.f64 1 eps)) (fma.f64 eps x x)) 1)))))) |
| 1× | egg-herbie |
| 593× | associate-+r+_binary64 |
| 385× | +-commutative_binary64 |
| 339× | associate--l+_binary64 |
| 309× | fma-neg_binary64 |
| 291× | cancel-sign-sub-inv_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 213 | 2746 |
| 1 | 773 | 2430 |
| 2 | 2953 | 2111 |
| 3 | 7996 | 2111 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) (/.f64 1 (exp.f64 x))) eps) |
(-.f64 (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (*.f64 -1 x))))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x))))) |
(-.f64 (+.f64 (*.f64 eps (-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)))) (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (/.f64 1 (exp.f64 x)) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x))))) |
(-.f64 (+.f64 (*.f64 eps (-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)))) (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (/.f64 1 (exp.f64 x)) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)) x)) (*.f64 -1/6 (/.f64 (pow.f64 x 3) (exp.f64 x)))))))))))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x))))) |
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (exp.f64 (*.f64 (-.f64 eps 1) x))) |
(-.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 eps 1) x)) eps) (exp.f64 (*.f64 (-.f64 eps 1) x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x))))) |
(-.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 eps 1) x)) eps) (exp.f64 (*.f64 (-.f64 eps 1) x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x))))) |
(-.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 eps 1) x)) eps) (exp.f64 (*.f64 (-.f64 eps 1) x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x))))) |
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) |
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))) eps)))) |
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))) eps)))) |
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))) eps)))) |
2 |
(+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 (+.f64 eps 1) (-.f64 1 (/.f64 1 eps)))) x) 2) |
(+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 (+.f64 eps 1) (-.f64 1 (/.f64 1 eps)))) x) (+.f64 2 (*.f64 (-.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 2))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 2))) (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps)))))) (pow.f64 x 2)))) |
(+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 (+.f64 eps 1) (-.f64 1 (/.f64 1 eps)))) x) (+.f64 2 (+.f64 (*.f64 (-.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 2))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 2))) (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps)))))) (pow.f64 x 2)) (*.f64 (-.f64 (*.f64 1/6 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 3))) (+.f64 (*.f64 1/6 (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps)))) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (-.f64 1 (/.f64 1 eps))))) (+.f64 eps 1))) (*.f64 -1/2 (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 3)))))) (pow.f64 x 3))))) |
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 eps 1) x))) (/.f64 1 (exp.f64 (fma.f64 eps x x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x))))) |
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 eps 1) x))) (/.f64 1 (exp.f64 (fma.f64 eps x x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x))))) |
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 eps 1) x))) (/.f64 1 (exp.f64 (fma.f64 eps x x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x))))) |
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 eps 1) x))) (/.f64 1 (exp.f64 (fma.f64 eps x x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x))))) |
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 eps 1) x))) (/.f64 1 (exp.f64 (fma.f64 eps x x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x))))) |
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 eps 1) x))) (/.f64 1 (exp.f64 (fma.f64 eps x x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x))))) |
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 eps 1) x))) (/.f64 1 (exp.f64 (fma.f64 eps x x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x))))) |
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 eps 1) x))) (/.f64 1 (exp.f64 (fma.f64 eps x x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x))))) |
1 |
(+.f64 1 (*.f64 (-.f64 eps 1) x)) |
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 1 (*.f64 (-.f64 eps 1) x))) |
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (*.f64 (-.f64 eps 1) x) (*.f64 1/6 (*.f64 (pow.f64 (-.f64 eps 1) 3) (pow.f64 x 3)))))) |
(exp.f64 (*.f64 (-.f64 eps 1) x)) |
(exp.f64 (*.f64 (-.f64 eps 1) x)) |
(exp.f64 (*.f64 (-.f64 eps 1) x)) |
(exp.f64 (*.f64 (-.f64 eps 1) x)) |
(exp.f64 (*.f64 (-.f64 eps 1) x)) |
(exp.f64 (*.f64 (-.f64 eps 1) x)) |
(exp.f64 (*.f64 (-.f64 eps 1) x)) |
(exp.f64 (*.f64 (-.f64 eps 1) x)) |
(exp.f64 (*.f64 -1 x)) |
(+.f64 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x)) (exp.f64 (*.f64 -1 x))) |
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x)) (exp.f64 (*.f64 -1 x)))) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x)) (exp.f64 (*.f64 -1 x))))) |
(exp.f64 (*.f64 (-.f64 eps 1) x)) |
(exp.f64 (*.f64 (-.f64 eps 1) x)) |
(exp.f64 (*.f64 (-.f64 eps 1) x)) |
(exp.f64 (*.f64 (-.f64 eps 1) x)) |
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) |
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) |
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) |
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) |
(exp.f64 x) |
(+.f64 (*.f64 eps (*.f64 (exp.f64 x) x)) (exp.f64 x)) |
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 x) (pow.f64 x 2)))) (+.f64 (*.f64 eps (*.f64 (exp.f64 x) x)) (exp.f64 x))) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 x) (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 x) (pow.f64 x 2)))) (+.f64 (*.f64 eps (*.f64 (exp.f64 x) x)) (exp.f64 x)))) |
1 |
(+.f64 1 (*.f64 (+.f64 eps 1) x)) |
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 x 2))) (+.f64 1 (*.f64 (+.f64 eps 1) x))) |
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (*.f64 (+.f64 eps 1) x) (*.f64 1/6 (*.f64 (pow.f64 (+.f64 1 eps) 3) (pow.f64 x 3)))))) |
(/.f64 -1 (*.f64 eps (exp.f64 x))) |
(-.f64 (/.f64 1 (exp.f64 x)) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x))))) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)))) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x))))) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)))) (+.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)) x)) (*.f64 -1/6 (/.f64 (pow.f64 x 3) (exp.f64 x))))))))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x))))) |
(/.f64 1 (exp.f64 (fma.f64 eps x x))) |
(-.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x))))) |
(-.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x))))) |
(-.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x))))) |
(/.f64 1 (exp.f64 (fma.f64 eps x x))) |
(-.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x))))) |
(-.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x))))) |
(-.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x))))) |
(-.f64 1 (/.f64 1 eps)) |
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x)))) (/.f64 1 eps)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps)))) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (-.f64 1 (/.f64 1 eps))))) (pow.f64 x 2))))) (/.f64 1 eps)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 2))) (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps))))) (+.f64 1 eps))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (+.f64 eps 1) 3) (-.f64 1 (/.f64 1 eps)))) (*.f64 1/6 (*.f64 (pow.f64 (+.f64 eps 1) 3) (-.f64 1 (/.f64 1 eps)))))) (pow.f64 x 3))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps)))) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (-.f64 1 (/.f64 1 eps))))) (pow.f64 x 2)))))) (/.f64 1 eps)) |
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))) |
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))) |
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))) |
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))) |
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))) |
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))) |
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))) |
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))) |
| Outputs |
|---|
(/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) (/.f64 1 (exp.f64 x))) eps) |
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) eps) |
0 |
(-.f64 (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (*.f64 -1 x))))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x))))) |
(-.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (exp.f64 (neg.f64 x)) (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x))))) (+.f64 (/.f64 1 (*.f64 (exp.f64 x) eps)) (/.f64 (neg.f64 x) (exp.f64 x)))) |
(+.f64 (+.f64 (+.f64 (*.f64 2 (exp.f64 (neg.f64 x))) (/.f64 x (exp.f64 x))) 0) (/.f64 x (exp.f64 x))) |
(+.f64 (/.f64 x (exp.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 2 x))) |
(-.f64 (+.f64 (*.f64 eps (-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)))) (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (/.f64 1 (exp.f64 x)) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x))))) |
(-.f64 (fma.f64 eps (-.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)))) (fma.f64 -1/2 (/.f64 (*.f64 x x) (exp.f64 x)) (*.f64 x (-.f64 (exp.f64 (neg.f64 x)) (/.f64 (neg.f64 x) (exp.f64 x)))))) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (exp.f64 (neg.f64 x)) (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))))) (+.f64 (/.f64 1 (*.f64 (exp.f64 x) eps)) (/.f64 (neg.f64 x) (exp.f64 x)))) |
(fma.f64 eps (-.f64 (fma.f64 1/2 (*.f64 x (/.f64 x (exp.f64 x))) (/.f64 x (exp.f64 x))) (fma.f64 x (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1/2 (/.f64 (*.f64 x x) (exp.f64 x))))) (+.f64 (+.f64 (+.f64 (*.f64 2 (exp.f64 (neg.f64 x))) (/.f64 x (exp.f64 x))) 0) (/.f64 x (exp.f64 x)))) |
(fma.f64 eps (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x (*.f64 (*.f64 x x) 1/2))) (fma.f64 (/.f64 (*.f64 x x) (exp.f64 x)) -1/2 (*.f64 (/.f64 x (exp.f64 x)) (+.f64 x 1)))) (+.f64 (/.f64 x (exp.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 2 x)))) |
(-.f64 (+.f64 (*.f64 eps (-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)))) (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (/.f64 1 (exp.f64 x)) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)) x)) (*.f64 -1/6 (/.f64 (pow.f64 x 3) (exp.f64 x)))))))))))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x))))) |
(-.f64 (fma.f64 eps (-.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)))) (fma.f64 -1/2 (/.f64 (*.f64 x x) (exp.f64 x)) (*.f64 x (-.f64 (exp.f64 (neg.f64 x)) (/.f64 (neg.f64 x) (exp.f64 x)))))) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x))) (*.f64 (*.f64 eps eps) (-.f64 (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)))) (fma.f64 1/2 (*.f64 (*.f64 x x) (-.f64 (exp.f64 (neg.f64 x)) (/.f64 (neg.f64 x) (exp.f64 x)))) (fma.f64 -1 (*.f64 x (fma.f64 -1/2 (/.f64 (*.f64 x x) (exp.f64 x)) (*.f64 x (-.f64 (exp.f64 (neg.f64 x)) (/.f64 (neg.f64 x) (exp.f64 x)))))) (*.f64 -1/6 (/.f64 (pow.f64 x 3) (exp.f64 x))))))))))) (+.f64 (/.f64 1 (*.f64 (exp.f64 x) eps)) (/.f64 (neg.f64 x) (exp.f64 x)))) |
(+.f64 (-.f64 (+.f64 (+.f64 (fma.f64 eps (-.f64 (fma.f64 1/2 (*.f64 x (/.f64 x (exp.f64 x))) (/.f64 x (exp.f64 x))) (fma.f64 x (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1/2 (/.f64 (*.f64 x x) (exp.f64 x))))) (/.f64 (exp.f64 (neg.f64 x)) eps)) (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))) (fma.f64 (*.f64 eps eps) (-.f64 (fma.f64 (/.f64 1/6 (exp.f64 x)) (pow.f64 x 3) (*.f64 (*.f64 x x) (/.f64 1/2 (exp.f64 x)))) (fma.f64 1/2 (*.f64 x (*.f64 x (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) (-.f64 (/.f64 (*.f64 (pow.f64 x 3) -1/6) (exp.f64 x)) (*.f64 x (fma.f64 x (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1/2 (/.f64 (*.f64 x x) (exp.f64 x)))))))) (exp.f64 (neg.f64 x)))) (/.f64 (exp.f64 (neg.f64 x)) eps)) (/.f64 x (exp.f64 x))) |
(fma.f64 eps (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x (*.f64 (*.f64 x x) 1/2))) (fma.f64 (/.f64 (*.f64 x x) (exp.f64 x)) -1/2 (*.f64 (/.f64 x (exp.f64 x)) (+.f64 x 1)))) (+.f64 (/.f64 x (exp.f64 x)) (+.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 2 x)) (*.f64 eps (*.f64 eps (fma.f64 1/6 (/.f64 (pow.f64 x 3) (exp.f64 x)) (-.f64 (*.f64 (*.f64 (*.f64 x x) 1/2) (-.f64 (exp.f64 (neg.f64 x)) (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) (fma.f64 (*.f64 x (-.f64 (*.f64 (/.f64 1/2 (exp.f64 x)) x) (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) x (*.f64 (/.f64 -1/6 (exp.f64 x)) (pow.f64 x 3)))))))))) |
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (exp.f64 (*.f64 (-.f64 eps 1) x))) |
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (pow.f64 (exp.f64 (+.f64 eps -1)) x)) |
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (pow.f64 (exp.f64 x) (+.f64 -1 eps))) |
(+.f64 (exp.f64 (*.f64 x (-.f64 -1 eps))) (pow.f64 (exp.f64 x) (+.f64 -1 eps))) |
(+.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (pow.f64 (exp.f64 x) (+.f64 -1 eps))) |
(-.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 eps 1) x)) eps) (exp.f64 (*.f64 (-.f64 eps 1) x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x))))) |
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (-.f64 (+.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) x) eps)) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))) |
(+.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (/.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) eps)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))) |
(fma.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (+.f64 1 (/.f64 1 eps)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))) |
(-.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 eps 1) x)) eps) (exp.f64 (*.f64 (-.f64 eps 1) x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x))))) |
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(+.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (/.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) eps)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))) |
(fma.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (+.f64 1 (/.f64 1 eps)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))) |
(-.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 eps 1) x)) eps) (exp.f64 (*.f64 (-.f64 eps 1) x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x))))) |
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (-.f64 (+.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) x) eps)) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))) |
(+.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (/.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) eps)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))) |
(fma.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (+.f64 1 (/.f64 1 eps)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))) |
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) |
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (exp.f64 (neg.f64 (*.f64 x (+.f64 1 (neg.f64 eps)))))) |
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x)) |
(+.f64 (exp.f64 (*.f64 x (-.f64 -1 eps))) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps))) |
(+.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps))) |
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))) eps)))) |
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 (neg.f64 eps))))) (neg.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 (neg.f64 eps))))))) eps)))) |
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (-.f64 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x) (/.f64 (-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x)) eps))) |
(+.f64 (exp.f64 (*.f64 x (-.f64 -1 eps))) (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)) (/.f64 (-.f64 (exp.f64 (*.f64 x (-.f64 -1 eps))) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps))) eps))) |
(+.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)) (/.f64 (-.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps))) eps))) |
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))) eps)))) |
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 (neg.f64 eps))))) (neg.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 (neg.f64 eps))))))) eps)))) |
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (-.f64 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x) (/.f64 (-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x)) eps))) |
(+.f64 (exp.f64 (*.f64 x (-.f64 -1 eps))) (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)) (/.f64 (-.f64 (exp.f64 (*.f64 x (-.f64 -1 eps))) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps))) eps))) |
(+.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)) (/.f64 (-.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps))) eps))) |
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))) eps)))) |
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 (neg.f64 eps))))) (neg.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 (neg.f64 eps))))))) eps)))) |
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (-.f64 (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x) (/.f64 (-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x)) eps))) |
(+.f64 (exp.f64 (*.f64 x (-.f64 -1 eps))) (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)) (/.f64 (-.f64 (exp.f64 (*.f64 x (-.f64 -1 eps))) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps))) eps))) |
(+.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)) (/.f64 (-.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps))) eps))) |
2 |
(+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 (+.f64 eps 1) (-.f64 1 (/.f64 1 eps)))) x) 2) |
(fma.f64 (-.f64 (*.f64 (+.f64 eps -1) (+.f64 1 (/.f64 1 eps))) (*.f64 (+.f64 1 eps) (-.f64 1 (/.f64 1 eps)))) x 2) |
(fma.f64 x (fma.f64 (+.f64 -1 eps) (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 1 (/.f64 -1 eps)) (neg.f64 (+.f64 1 eps)))) 2) |
(fma.f64 x (fma.f64 (+.f64 -1 eps) (+.f64 1 (/.f64 1 eps)) (+.f64 (-.f64 -1 eps) (/.f64 (+.f64 1 eps) eps))) 2) |
(+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 (+.f64 eps 1) (-.f64 1 (/.f64 1 eps)))) x) (+.f64 2 (*.f64 (-.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 2))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 2))) (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps)))))) (pow.f64 x 2)))) |
(+.f64 (fma.f64 (-.f64 (*.f64 (+.f64 eps -1) (+.f64 1 (/.f64 1 eps))) (*.f64 (+.f64 1 eps) (-.f64 1 (/.f64 1 eps)))) x 2) (*.f64 (*.f64 x x) (-.f64 (*.f64 1/2 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 eps -1) 2))) (fma.f64 1/2 (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 2)) (neg.f64 (*.f64 (+.f64 1 eps) (*.f64 (+.f64 1 eps) (-.f64 1 (/.f64 1 eps))))))))) |
(fma.f64 x (fma.f64 (+.f64 -1 eps) (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 1 (/.f64 -1 eps)) (neg.f64 (+.f64 1 eps)))) (fma.f64 (*.f64 x x) (-.f64 (*.f64 1/2 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 -1 eps) 2)) (*.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 (+.f64 1 eps) 2)))) (neg.f64 (*.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 (+.f64 1 eps) 2)))) 2)) |
(fma.f64 x (fma.f64 (+.f64 -1 eps) (+.f64 1 (/.f64 1 eps)) (+.f64 (-.f64 -1 eps) (/.f64 (+.f64 1 eps) eps))) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 (+.f64 -1 eps) 2) (+.f64 1/2 (/.f64 1/2 eps))) (*.f64 (pow.f64 (+.f64 1 eps) 2) (+.f64 -1/2 (/.f64 1/2 eps)))) 2)) |
(+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 (+.f64 eps 1) (-.f64 1 (/.f64 1 eps)))) x) (+.f64 2 (+.f64 (*.f64 (-.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 2))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 2))) (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps)))))) (pow.f64 x 2)) (*.f64 (-.f64 (*.f64 1/6 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 3))) (+.f64 (*.f64 1/6 (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps)))) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (-.f64 1 (/.f64 1 eps))))) (+.f64 eps 1))) (*.f64 -1/2 (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 3)))))) (pow.f64 x 3))))) |
(+.f64 (fma.f64 (-.f64 (*.f64 (+.f64 eps -1) (+.f64 1 (/.f64 1 eps))) (*.f64 (+.f64 1 eps) (-.f64 1 (/.f64 1 eps)))) x 2) (fma.f64 (-.f64 (*.f64 1/2 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 eps -1) 2))) (fma.f64 1/2 (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 2)) (neg.f64 (*.f64 (+.f64 1 eps) (*.f64 (+.f64 1 eps) (-.f64 1 (/.f64 1 eps))))))) (*.f64 x x) (*.f64 (pow.f64 x 3) (-.f64 (*.f64 1/6 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 eps -1) 3))) (fma.f64 -1 (*.f64 (+.f64 1 eps) (fma.f64 1/2 (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 2)) (neg.f64 (*.f64 (+.f64 1 eps) (*.f64 (+.f64 1 eps) (-.f64 1 (/.f64 1 eps))))))) (*.f64 (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 3)) -1/3)))))) |
(+.f64 (fma.f64 x (fma.f64 (+.f64 -1 eps) (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 1 (/.f64 -1 eps)) (neg.f64 (+.f64 1 eps)))) 2) (fma.f64 (*.f64 x x) (-.f64 (*.f64 1/2 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 -1 eps) 2)) (*.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 (+.f64 1 eps) 2)))) (neg.f64 (*.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 (+.f64 1 eps) 2)))) (*.f64 (pow.f64 x 3) (-.f64 (*.f64 1/6 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 -1 eps) 3))) (-.f64 (*.f64 (pow.f64 (+.f64 1 eps) 3) (*.f64 (+.f64 1 (/.f64 -1 eps)) -1/3)) (*.f64 (+.f64 1 eps) (-.f64 (*.f64 1/2 (*.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 (+.f64 1 eps) 2))) (*.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 (+.f64 1 eps) 2))))))))) |
(+.f64 (fma.f64 x (fma.f64 (+.f64 -1 eps) (+.f64 1 (/.f64 1 eps)) (+.f64 (-.f64 -1 eps) (/.f64 (+.f64 1 eps) eps))) 2) (*.f64 (*.f64 x x) (+.f64 (-.f64 (*.f64 (pow.f64 (+.f64 -1 eps) 2) (+.f64 1/2 (/.f64 1/2 eps))) (*.f64 (pow.f64 (+.f64 1 eps) 2) (+.f64 -1/2 (/.f64 1/2 eps)))) (*.f64 (+.f64 (fma.f64 (pow.f64 (+.f64 -1 eps) 3) (+.f64 1/6 (/.f64 1/6 eps)) (*.f64 (pow.f64 (+.f64 1 eps) 3) (+.f64 -1/2 (/.f64 1/2 eps)))) (*.f64 (*.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 (+.f64 1 eps) 3)) 1/3)) x)))) |
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 eps 1) x))) (/.f64 1 (exp.f64 (fma.f64 eps x x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x))))) |
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (-.f64 (+.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) x) eps)) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))) |
(+.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (/.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) eps)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))) |
(fma.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (+.f64 1 (/.f64 1 eps)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))) |
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 eps 1) x))) (/.f64 1 (exp.f64 (fma.f64 eps x x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x))))) |
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (-.f64 (+.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) x) eps)) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))) |
(+.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (/.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) eps)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))) |
(fma.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (+.f64 1 (/.f64 1 eps)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))) |
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 eps 1) x))) (/.f64 1 (exp.f64 (fma.f64 eps x x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x))))) |
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (-.f64 (+.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) x) eps)) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))) |
(+.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (/.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) eps)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))) |
(fma.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (+.f64 1 (/.f64 1 eps)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))) |
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 eps 1) x))) (/.f64 1 (exp.f64 (fma.f64 eps x x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x))))) |
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (-.f64 (+.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) x) eps)) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))) |
(+.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (/.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) eps)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))) |
(fma.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (+.f64 1 (/.f64 1 eps)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))) |
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 eps 1) x))) (/.f64 1 (exp.f64 (fma.f64 eps x x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x))))) |
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (-.f64 (+.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) x) eps)) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))) |
(+.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (/.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) eps)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))) |
(fma.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (+.f64 1 (/.f64 1 eps)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))) |
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 eps 1) x))) (/.f64 1 (exp.f64 (fma.f64 eps x x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x))))) |
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (-.f64 (+.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) x) eps)) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))) |
(+.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (/.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) eps)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))) |
(fma.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (+.f64 1 (/.f64 1 eps)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))) |
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 eps 1) x))) (/.f64 1 (exp.f64 (fma.f64 eps x x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x))))) |
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (-.f64 (+.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) x) eps)) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))) |
(+.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (/.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) eps)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))) |
(fma.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (+.f64 1 (/.f64 1 eps)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))) |
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 eps 1) x))) (/.f64 1 (exp.f64 (fma.f64 eps x x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x))))) |
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (-.f64 (+.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) x) eps)) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))) |
(+.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (/.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) eps)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))) |
(fma.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (+.f64 1 (/.f64 1 eps)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))) |
1 |
(+.f64 1 (*.f64 (-.f64 eps 1) x)) |
(+.f64 1 (*.f64 x (+.f64 eps -1))) |
(fma.f64 x (+.f64 -1 eps) 1) |
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 1 (*.f64 (-.f64 eps 1) x))) |
(fma.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (+.f64 eps -1) 2)) (+.f64 1 (*.f64 x (+.f64 eps -1)))) |
(fma.f64 1/2 (*.f64 x (*.f64 x (pow.f64 (+.f64 -1 eps) 2))) (fma.f64 x (+.f64 -1 eps) 1)) |
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (*.f64 (-.f64 eps 1) x) (*.f64 1/6 (*.f64 (pow.f64 (-.f64 eps 1) 3) (pow.f64 x 3)))))) |
(fma.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (+.f64 eps -1) 2)) (+.f64 1 (fma.f64 (+.f64 eps -1) x (*.f64 1/6 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps -1) 3)))))) |
(+.f64 (fma.f64 1/2 (*.f64 x (*.f64 x (pow.f64 (+.f64 -1 eps) 2))) (fma.f64 x (+.f64 -1 eps) 1)) (*.f64 (*.f64 1/6 (pow.f64 x 3)) (pow.f64 (+.f64 -1 eps) 3))) |
(+.f64 (fma.f64 x (+.f64 -1 eps) 1) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 1/6 (pow.f64 (+.f64 -1 eps) 3)) x) (*.f64 1/2 (pow.f64 (+.f64 -1 eps) 2))))) |
(exp.f64 (*.f64 (-.f64 eps 1) x)) |
(pow.f64 (exp.f64 (+.f64 eps -1)) x) |
(pow.f64 (exp.f64 x) (+.f64 -1 eps)) |
(exp.f64 (*.f64 (-.f64 eps 1) x)) |
(pow.f64 (exp.f64 (+.f64 eps -1)) x) |
(pow.f64 (exp.f64 x) (+.f64 -1 eps)) |
(exp.f64 (*.f64 (-.f64 eps 1) x)) |
(pow.f64 (exp.f64 (+.f64 eps -1)) x) |
(pow.f64 (exp.f64 x) (+.f64 -1 eps)) |
(exp.f64 (*.f64 (-.f64 eps 1) x)) |
(pow.f64 (exp.f64 (+.f64 eps -1)) x) |
(pow.f64 (exp.f64 x) (+.f64 -1 eps)) |
(exp.f64 (*.f64 (-.f64 eps 1) x)) |
(pow.f64 (exp.f64 (+.f64 eps -1)) x) |
(pow.f64 (exp.f64 x) (+.f64 -1 eps)) |
(exp.f64 (*.f64 (-.f64 eps 1) x)) |
(pow.f64 (exp.f64 (+.f64 eps -1)) x) |
(pow.f64 (exp.f64 x) (+.f64 -1 eps)) |
(exp.f64 (*.f64 (-.f64 eps 1) x)) |
(pow.f64 (exp.f64 (+.f64 eps -1)) x) |
(pow.f64 (exp.f64 x) (+.f64 -1 eps)) |
(exp.f64 (*.f64 (-.f64 eps 1) x)) |
(pow.f64 (exp.f64 (+.f64 eps -1)) x) |
(pow.f64 (exp.f64 x) (+.f64 -1 eps)) |
(exp.f64 (*.f64 -1 x)) |
(exp.f64 (neg.f64 x)) |
(+.f64 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x)) (exp.f64 (*.f64 -1 x))) |
(fma.f64 eps (*.f64 x (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x))) |
(fma.f64 eps (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x))) |
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x)) (exp.f64 (*.f64 -1 x)))) |
(fma.f64 1/2 (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 eps eps)) (fma.f64 eps (*.f64 x (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x)))) |
(fma.f64 1/2 (*.f64 eps (*.f64 eps (*.f64 x (/.f64 x (exp.f64 x))))) (fma.f64 eps (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))) |
(fma.f64 1/2 (*.f64 eps (*.f64 eps (/.f64 (*.f64 x x) (exp.f64 x)))) (fma.f64 eps (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x)) (exp.f64 (*.f64 -1 x))))) |
(fma.f64 1/6 (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (pow.f64 eps 3)) (fma.f64 1/2 (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 eps eps)) (fma.f64 eps (*.f64 x (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x))))) |
(+.f64 (fma.f64 1/2 (*.f64 eps (*.f64 eps (*.f64 x (/.f64 x (exp.f64 x))))) (fma.f64 eps (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))) (*.f64 (*.f64 (pow.f64 x 3) (/.f64 1/6 (exp.f64 x))) (pow.f64 eps 3))) |
(fma.f64 1/6 (*.f64 (pow.f64 x 3) (/.f64 (pow.f64 eps 3) (exp.f64 x))) (fma.f64 1/2 (*.f64 eps (*.f64 eps (/.f64 (*.f64 x x) (exp.f64 x)))) (fma.f64 eps (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x))))) |
(exp.f64 (*.f64 (-.f64 eps 1) x)) |
(pow.f64 (exp.f64 (+.f64 eps -1)) x) |
(pow.f64 (exp.f64 x) (+.f64 -1 eps)) |
(exp.f64 (*.f64 (-.f64 eps 1) x)) |
(pow.f64 (exp.f64 (+.f64 eps -1)) x) |
(pow.f64 (exp.f64 x) (+.f64 -1 eps)) |
(exp.f64 (*.f64 (-.f64 eps 1) x)) |
(pow.f64 (exp.f64 (+.f64 eps -1)) x) |
(pow.f64 (exp.f64 x) (+.f64 -1 eps)) |
(exp.f64 (*.f64 (-.f64 eps 1) x)) |
(pow.f64 (exp.f64 (+.f64 eps -1)) x) |
(pow.f64 (exp.f64 x) (+.f64 -1 eps)) |
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) |
(exp.f64 (neg.f64 (*.f64 x (+.f64 1 (neg.f64 eps))))) |
(pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x) |
(pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)) |
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) |
(exp.f64 (neg.f64 (*.f64 x (+.f64 1 (neg.f64 eps))))) |
(pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x) |
(pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)) |
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) |
(exp.f64 (neg.f64 (*.f64 x (+.f64 1 (neg.f64 eps))))) |
(pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x) |
(pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)) |
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) |
(exp.f64 (neg.f64 (*.f64 x (+.f64 1 (neg.f64 eps))))) |
(pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x) |
(pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps)) |
(exp.f64 x) |
(+.f64 (*.f64 eps (*.f64 (exp.f64 x) x)) (exp.f64 x)) |
(fma.f64 eps (*.f64 x (exp.f64 x)) (exp.f64 x)) |
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 x) (pow.f64 x 2)))) (+.f64 (*.f64 eps (*.f64 (exp.f64 x) x)) (exp.f64 x))) |
(fma.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 (exp.f64 x) (*.f64 x x))) (fma.f64 eps (*.f64 x (exp.f64 x)) (exp.f64 x))) |
(+.f64 (exp.f64 x) (*.f64 (exp.f64 x) (+.f64 (*.f64 x eps) (*.f64 (*.f64 1/2 (*.f64 eps eps)) (*.f64 x x))))) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 x) (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 x) (pow.f64 x 2)))) (+.f64 (*.f64 eps (*.f64 (exp.f64 x) x)) (exp.f64 x)))) |
(fma.f64 1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 x) (pow.f64 x 3))) (fma.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 (exp.f64 x) (*.f64 x x))) (fma.f64 eps (*.f64 x (exp.f64 x)) (exp.f64 x)))) |
(fma.f64 (*.f64 1/6 (pow.f64 eps 3)) (*.f64 (exp.f64 x) (pow.f64 x 3)) (fma.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 (exp.f64 x) (*.f64 x x))) (fma.f64 eps (*.f64 x (exp.f64 x)) (exp.f64 x)))) |
(+.f64 (fma.f64 eps (*.f64 x (exp.f64 x)) (exp.f64 x)) (*.f64 (exp.f64 x) (+.f64 (*.f64 (*.f64 1/2 (*.f64 eps eps)) (*.f64 x x)) (*.f64 (*.f64 1/6 (pow.f64 eps 3)) (pow.f64 x 3))))) |
1 |
(+.f64 1 (*.f64 (+.f64 eps 1) x)) |
(+.f64 1 (*.f64 x (+.f64 1 eps))) |
(+.f64 1 (fma.f64 eps x x)) |
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 x 2))) (+.f64 1 (*.f64 (+.f64 eps 1) x))) |
(fma.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (+.f64 1 eps) 2)) (+.f64 1 (*.f64 x (+.f64 1 eps)))) |
(+.f64 (fma.f64 eps x x) (fma.f64 1/2 (*.f64 (fma.f64 eps x x) (fma.f64 eps x x)) 1)) |
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (*.f64 (+.f64 eps 1) x) (*.f64 1/6 (*.f64 (pow.f64 (+.f64 1 eps) 3) (pow.f64 x 3)))))) |
(fma.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (+.f64 1 eps) 2)) (+.f64 1 (fma.f64 (+.f64 1 eps) x (*.f64 1/6 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 eps) 3)))))) |
(+.f64 (fma.f64 1/6 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 eps) 3)) (fma.f64 eps x x)) (fma.f64 1/2 (*.f64 (fma.f64 eps x x) (fma.f64 eps x x)) 1)) |
(/.f64 -1 (*.f64 eps (exp.f64 x))) |
(/.f64 (/.f64 -1 eps) (exp.f64 x)) |
(/.f64 -1 (*.f64 (exp.f64 x) eps)) |
(-.f64 (/.f64 1 (exp.f64 x)) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x))))) |
(-.f64 (exp.f64 (neg.f64 x)) (+.f64 (/.f64 1 (*.f64 (exp.f64 x) eps)) (/.f64 (neg.f64 x) (exp.f64 x)))) |
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) eps)) |
(fma.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)) (/.f64 -1 (*.f64 (exp.f64 x) eps))) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)))) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x))))) |
(-.f64 (fma.f64 -1 (*.f64 eps (fma.f64 -1/2 (/.f64 (*.f64 x x) (exp.f64 x)) (*.f64 x (-.f64 (exp.f64 (neg.f64 x)) (/.f64 (neg.f64 x) (exp.f64 x)))))) (exp.f64 (neg.f64 x))) (+.f64 (/.f64 1 (*.f64 (exp.f64 x) eps)) (/.f64 (neg.f64 x) (exp.f64 x)))) |
(fma.f64 (neg.f64 eps) (fma.f64 x (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1/2 (/.f64 (*.f64 x x) (exp.f64 x)))) (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) eps))) |
(fma.f64 (neg.f64 eps) (fma.f64 (/.f64 (*.f64 x x) (exp.f64 x)) -1/2 (*.f64 (/.f64 x (exp.f64 x)) (+.f64 x 1))) (fma.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)) (/.f64 -1 (*.f64 (exp.f64 x) eps)))) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)))) (+.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)) x)) (*.f64 -1/6 (/.f64 (pow.f64 x 3) (exp.f64 x))))))))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x))))) |
(-.f64 (+.f64 (fma.f64 -1 (*.f64 eps (fma.f64 -1/2 (/.f64 (*.f64 x x) (exp.f64 x)) (*.f64 x (-.f64 (exp.f64 (neg.f64 x)) (/.f64 (neg.f64 x) (exp.f64 x)))))) (exp.f64 (neg.f64 x))) (neg.f64 (*.f64 (*.f64 eps eps) (fma.f64 1/2 (*.f64 (*.f64 x x) (-.f64 (exp.f64 (neg.f64 x)) (/.f64 (neg.f64 x) (exp.f64 x)))) (fma.f64 -1 (*.f64 x (fma.f64 -1/2 (/.f64 (*.f64 x x) (exp.f64 x)) (*.f64 x (-.f64 (exp.f64 (neg.f64 x)) (/.f64 (neg.f64 x) (exp.f64 x)))))) (*.f64 -1/6 (/.f64 (pow.f64 x 3) (exp.f64 x)))))))) (+.f64 (/.f64 1 (*.f64 (exp.f64 x) eps)) (/.f64 (neg.f64 x) (exp.f64 x)))) |
(-.f64 (-.f64 (fma.f64 (*.f64 (neg.f64 eps) eps) (fma.f64 1/2 (*.f64 x (*.f64 x (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) (-.f64 (/.f64 (*.f64 (pow.f64 x 3) -1/6) (exp.f64 x)) (*.f64 x (fma.f64 x (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1/2 (/.f64 (*.f64 x x) (exp.f64 x))))))) (exp.f64 (neg.f64 x))) (*.f64 eps (fma.f64 x (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1/2 (/.f64 (*.f64 x x) (exp.f64 x)))))) (-.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (/.f64 x (exp.f64 x)))) |
(-.f64 (fma.f64 (neg.f64 eps) (fma.f64 (/.f64 (*.f64 x x) (exp.f64 x)) -1/2 (*.f64 (/.f64 x (exp.f64 x)) (+.f64 x 1))) (fma.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)) (/.f64 -1 (*.f64 (exp.f64 x) eps)))) (*.f64 (*.f64 eps eps) (fma.f64 1/2 (*.f64 (+.f64 x 1) (/.f64 (*.f64 x x) (exp.f64 x))) (fma.f64 (*.f64 x (-.f64 (*.f64 (/.f64 1/2 (exp.f64 x)) x) (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) x (*.f64 (/.f64 -1/6 (exp.f64 x)) (pow.f64 x 3)))))) |
(/.f64 1 (exp.f64 (fma.f64 eps x x))) |
(exp.f64 (neg.f64 (fma.f64 eps x x))) |
(exp.f64 (*.f64 x (-.f64 -1 eps))) |
(pow.f64 (exp.f64 x) (-.f64 -1 eps)) |
(-.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x))))) |
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))) |
(/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))) |
(-.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x))))) |
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))) |
(/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))) |
(-.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x))))) |
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))) |
(/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))) |
(/.f64 1 (exp.f64 (fma.f64 eps x x))) |
(exp.f64 (neg.f64 (fma.f64 eps x x))) |
(exp.f64 (*.f64 x (-.f64 -1 eps))) |
(pow.f64 (exp.f64 x) (-.f64 -1 eps)) |
(-.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x))))) |
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))) |
(/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))) |
(-.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x))))) |
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))) |
(/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))) |
(-.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x))))) |
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))) |
(/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))) |
(-.f64 1 (/.f64 1 eps)) |
(+.f64 1 (/.f64 -1 eps)) |
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x)))) (/.f64 1 eps)) |
(+.f64 1 (-.f64 (neg.f64 (*.f64 (-.f64 1 (/.f64 1 eps)) (*.f64 x (+.f64 1 eps)))) (/.f64 1 eps))) |
(+.f64 1 (fma.f64 (neg.f64 (+.f64 1 (/.f64 -1 eps))) (fma.f64 eps x x) (/.f64 -1 eps))) |
(*.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (*.f64 x (-.f64 -1 eps)) 1)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps)))) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (-.f64 1 (/.f64 1 eps))))) (pow.f64 x 2))))) (/.f64 1 eps)) |
(+.f64 1 (-.f64 (*.f64 -1 (+.f64 (*.f64 (-.f64 1 (/.f64 1 eps)) (*.f64 x (+.f64 1 eps))) (*.f64 (*.f64 x x) (fma.f64 1/2 (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 2)) (neg.f64 (*.f64 (+.f64 1 eps) (*.f64 (+.f64 1 eps) (-.f64 1 (/.f64 1 eps))))))))) (/.f64 1 eps))) |
(+.f64 1 (fma.f64 -1 (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 eps x x) (*.f64 (*.f64 x x) (-.f64 (*.f64 1/2 (*.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 (+.f64 1 eps) 2))) (*.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 (+.f64 1 eps) 2))))) (/.f64 -1 eps))) |
(-.f64 (*.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (*.f64 x (-.f64 -1 eps)) 1)) (*.f64 x (*.f64 x (*.f64 (pow.f64 (+.f64 1 eps) 2) (+.f64 -1/2 (/.f64 1/2 eps)))))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 2))) (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps))))) (+.f64 1 eps))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (+.f64 eps 1) 3) (-.f64 1 (/.f64 1 eps)))) (*.f64 1/6 (*.f64 (pow.f64 (+.f64 eps 1) 3) (-.f64 1 (/.f64 1 eps)))))) (pow.f64 x 3))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps)))) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (-.f64 1 (/.f64 1 eps))))) (pow.f64 x 2)))))) (/.f64 1 eps)) |
(-.f64 (+.f64 1 (fma.f64 -1 (*.f64 (-.f64 1 (/.f64 1 eps)) (*.f64 x (+.f64 1 eps))) (fma.f64 -1 (*.f64 (pow.f64 x 3) (fma.f64 -1 (*.f64 (+.f64 1 eps) (fma.f64 1/2 (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 2)) (neg.f64 (*.f64 (+.f64 1 eps) (*.f64 (+.f64 1 eps) (-.f64 1 (/.f64 1 eps))))))) (*.f64 (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 3)) -1/3))) (neg.f64 (*.f64 (*.f64 x x) (fma.f64 1/2 (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 2)) (neg.f64 (*.f64 (+.f64 1 eps) (*.f64 (+.f64 1 eps) (-.f64 1 (/.f64 1 eps))))))))))) (/.f64 1 eps)) |
(+.f64 1 (+.f64 (neg.f64 (fma.f64 (pow.f64 x 3) (-.f64 (*.f64 (pow.f64 (+.f64 1 eps) 3) (*.f64 (+.f64 1 (/.f64 -1 eps)) -1/3)) (*.f64 (+.f64 1 eps) (-.f64 (*.f64 1/2 (*.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 (+.f64 1 eps) 2))) (*.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 (+.f64 1 eps) 2))))) (*.f64 (*.f64 x x) (-.f64 (*.f64 1/2 (*.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 (+.f64 1 eps) 2))) (*.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 (+.f64 1 eps) 2)))))) (fma.f64 (neg.f64 (+.f64 1 (/.f64 -1 eps))) (fma.f64 eps x x) (/.f64 -1 eps)))) |
(+.f64 (*.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (*.f64 x (-.f64 -1 eps)) 1)) (*.f64 (*.f64 x x) (-.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (+.f64 1 eps) 3) (+.f64 -1/2 (/.f64 1/2 eps))) (*.f64 (*.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 (+.f64 1 eps) 3)) 1/3)) x) (*.f64 (pow.f64 (+.f64 1 eps) 2) (+.f64 -1/2 (/.f64 1/2 eps)))))) |
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))) |
(/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))) |
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))) |
(/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))) |
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))) |
(/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))) |
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))) |
(/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))) |
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))) |
(/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))) |
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))) |
(/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))) |
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))) |
(/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))) |
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))) |
(/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) |
| ✓ | 0.0b | (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) |
| ✓ | 0.0b | (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))) |
| ✓ | 3.4b | (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) |
Compiled 143 to 106 computations (25.9% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | eps | @ | -inf | (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) |
| 3.0ms | eps | @ | 0 | (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) |
| 1.0ms | x | @ | 0 | (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) |
| 1.0ms | x | @ | -inf | (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) |
| 1.0ms | x | @ | 0 | (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) |
| 1× | batch-egg-rewrite |
| 345× | fma-neg_binary64 |
| 325× | expm1-udef_binary64 |
| 324× | log1p-udef_binary64 |
| 271× | log-pow_binary64 |
| 209× | add-sqr-sqrt_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 93 |
| 1 | 412 | 81 |
| 2 | 5981 | 81 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) |
(*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))) |
(*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) |
(exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (neg.f64 (+.f64 (/.f64 1 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (*.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (neg.f64 (+.f64 (/.f64 1 eps) -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (+.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (neg.f64 (+.f64 (/.f64 1 eps) -1))) (fma.f64 (neg.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x)) (+.f64 (/.f64 1 eps) -1) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x))) (fma.f64 (neg.f64 (pow.f64 (exp.f64 (+.f64 1 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 (-.f64 1 eps)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (/.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (pow.f64 (exp.f64 (-.f64 1 eps)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 eps -3)) (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 eps -2)) (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (-.f64 1 (/.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 eps -3)) 1) (*.f64 (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 1 eps))) (pow.f64 (exp.f64 (-.f64 1 eps)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 eps -3)) (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 eps -2)) (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (-.f64 1 (/.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (+.f64 1 (pow.f64 eps -3))) (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) (-.f64 1 (pow.f64 eps -2))) (-.f64 1 (/.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (-.f64 1 eps)) x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (*.f64 (-.f64 1 eps) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 x) (-.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 eps) x)) 2)) (cbrt.f64 (*.f64 (-.f64 1 eps) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 -1) (*.f64 (-.f64 1 eps) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (*.f64 (-.f64 1 eps) x))) (sqrt.f64 (*.f64 (-.f64 1 eps) x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))))))) |
| 1× | egg-herbie |
| 627× | distribute-rgt-in_binary64 |
| 608× | distribute-lft-in_binary64 |
| 432× | cancel-sign-sub-inv_binary64 |
| 228× | associate--l+_binary64 |
| 222× | fma-def_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 226 | 3185 |
| 1 | 775 | 2801 |
| 2 | 2869 | 2303 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x)) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (neg.f64 x)) x)) (*.f64 -1 (exp.f64 (neg.f64 x))))) |
(-.f64 (+.f64 (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))))) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (neg.f64 x)) x)) (*.f64 -1 (exp.f64 (neg.f64 x))))) |
(-.f64 (+.f64 (*.f64 (pow.f64 eps 4) (-.f64 (+.f64 (*.f64 1/120 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5))) (*.f64 1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)))) (+.f64 (*.f64 -1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4))) (*.f64 -1/120 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)))))) (+.f64 (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))))) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x)))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (neg.f64 x)) x)) (*.f64 -1 (exp.f64 (neg.f64 x))))) |
(-.f64 (+.f64 (*.f64 (pow.f64 eps 4) (-.f64 (+.f64 (*.f64 1/120 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5))) (*.f64 1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)))) (+.f64 (*.f64 -1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4))) (*.f64 -1/120 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)))))) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/720 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 6))) (*.f64 1/5040 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 7)))) (+.f64 (*.f64 -1/5040 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 7))) (*.f64 -1/720 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 6))))) (pow.f64 eps 6)) (+.f64 (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))))) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x))))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (neg.f64 x)) x)) (*.f64 -1 (exp.f64 (neg.f64 x))))) |
(-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))))) |
(-.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) eps) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (+.f64 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))) (/.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))) eps))) |
(-.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) eps) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (+.f64 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))) (/.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))) eps))) |
(-.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) eps) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (+.f64 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))) (/.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))) eps))) |
(-.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))))) eps)) (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))))) eps)) (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))))) eps)) (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))))) |
2 |
(+.f64 2 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)))) x)) |
(+.f64 2 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)))) x) (*.f64 (-.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 2))) (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 eps) 1) (pow.f64 (+.f64 1 eps) 2)))) (pow.f64 x 2)))) |
(+.f64 2 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)))) x) (+.f64 (*.f64 (-.f64 (*.f64 1/6 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 3))) (*.f64 -1/6 (*.f64 (-.f64 (/.f64 1 eps) 1) (pow.f64 (+.f64 1 eps) 3)))) (pow.f64 x 3)) (*.f64 (-.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 2))) (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 eps) 1) (pow.f64 (+.f64 1 eps) 2)))) (pow.f64 x 2))))) |
(-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x))) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))) (-.f64 (/.f64 1 eps) 1))) |
(-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x))) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))) (-.f64 (/.f64 1 eps) 1))) |
(-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x))) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))) (-.f64 (/.f64 1 eps) 1))) |
(-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x))) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))) (-.f64 (/.f64 1 eps) 1))) |
(-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) |
(-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) |
(-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) |
(-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) |
(/.f64 (exp.f64 (neg.f64 x)) eps) |
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (neg.f64 x)) x)) (*.f64 -1 (exp.f64 (neg.f64 x))))) |
(+.f64 (*.f64 (+.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) eps) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (neg.f64 x)) x)) (*.f64 -1 (exp.f64 (neg.f64 x)))))) |
(+.f64 (*.f64 (+.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) eps) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (neg.f64 x)) x)) (+.f64 (*.f64 -1 (exp.f64 (neg.f64 x))) (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))))))))) |
(*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))) |
(+.f64 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))) (/.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))) eps)) |
(+.f64 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))) (/.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))) eps)) |
(+.f64 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))) (/.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))) eps)) |
(*.f64 -1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))) |
(+.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))) eps) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))))) |
(+.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))) eps) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))))) |
(+.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))) eps) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))))) |
(-.f64 (/.f64 1 eps) 1) |
(-.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)))) 1) |
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 x 2)))) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x))))) 1) |
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 x 2)))) (+.f64 (*.f64 -1/6 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (+.f64 1 eps) 3) (pow.f64 x 3)))) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)))))) 1) |
(*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))) (-.f64 (/.f64 1 eps) 1)) |
(*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))) (-.f64 (/.f64 1 eps) 1)) |
(*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))) (-.f64 (/.f64 1 eps) 1)) |
(*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))) (-.f64 (/.f64 1 eps) 1)) |
(/.f64 (exp.f64 (neg.f64 x)) eps) |
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x))) |
(+.f64 (*.f64 (+.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) eps) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x)))) |
(+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))))) (+.f64 (*.f64 (+.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) eps) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x))))) |
(exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) |
(+.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) eps) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) |
(+.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) eps) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) |
(+.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) eps) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) |
(exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) |
(+.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (/.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) eps)) |
(+.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (/.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) eps)) |
(+.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (/.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) eps)) |
(+.f64 (/.f64 1 eps) 1) |
(+.f64 (/.f64 1 eps) (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 eps 1) x)))) |
(+.f64 (/.f64 1 eps) (+.f64 1 (+.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2)))) (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 eps 1) x))))) |
(+.f64 (/.f64 1 eps) (+.f64 1 (+.f64 (*.f64 1/6 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (-.f64 eps 1) 3) (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2)))) (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 eps 1) x)))))) |
(*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x))) |
(*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x))) |
(*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x))) |
(*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x))) |
(*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) |
(*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) |
(*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) |
(*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) |
(exp.f64 (neg.f64 x)) |
(+.f64 (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) x)) (exp.f64 (neg.f64 x))) |
(+.f64 (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (exp.f64 (neg.f64 x)))) |
(+.f64 (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))) (exp.f64 (neg.f64 x))))) |
(exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) |
(exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) |
(exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) |
(exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) |
1 |
(+.f64 1 (*.f64 (-.f64 eps 1) x)) |
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 1 (*.f64 (-.f64 eps 1) x))) |
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (*.f64 (-.f64 eps 1) x) (*.f64 1/6 (*.f64 (pow.f64 (-.f64 eps 1) 3) (pow.f64 x 3)))))) |
(exp.f64 (-.f64 (*.f64 eps x) x)) |
(exp.f64 (-.f64 (*.f64 eps x) x)) |
(exp.f64 (-.f64 (*.f64 eps x) x)) |
(exp.f64 (-.f64 (*.f64 eps x) x)) |
| Outputs |
|---|
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x)) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (neg.f64 x)) x)) (*.f64 -1 (exp.f64 (neg.f64 x))))) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x)))) (*.f64 -1 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x)))))) |
(-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) |
(*.f64 2 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 x -1))) |
(-.f64 (+.f64 (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))))) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (neg.f64 x)) x)) (*.f64 -1 (exp.f64 (neg.f64 x))))) |
(-.f64 (fma.f64 (*.f64 eps eps) (-.f64 (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)))) (fma.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) -1/6))) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x))))) (*.f64 -1 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x)))))) |
(-.f64 (fma.f64 (*.f64 eps eps) (-.f64 (fma.f64 (/.f64 1/2 (exp.f64 x)) (*.f64 x x) (*.f64 (pow.f64 x 3) (/.f64 1/6 (exp.f64 x)))) (fma.f64 (/.f64 -1/2 (exp.f64 x)) (*.f64 x x) (*.f64 (pow.f64 x 3) (/.f64 -1/6 (exp.f64 x))))) (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) |
(fma.f64 (*.f64 eps eps) (fma.f64 (/.f64 1/6 (exp.f64 x)) (pow.f64 x 3) (+.f64 (*.f64 (pow.f64 x 3) (/.f64 1/6 (exp.f64 x))) (*.f64 (*.f64 x (/.f64 x (exp.f64 x))) 1))) (*.f64 2 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 x -1)))) |
(-.f64 (+.f64 (*.f64 (pow.f64 eps 4) (-.f64 (+.f64 (*.f64 1/120 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5))) (*.f64 1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)))) (+.f64 (*.f64 -1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4))) (*.f64 -1/120 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)))))) (+.f64 (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))))) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x)))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (neg.f64 x)) x)) (*.f64 -1 (exp.f64 (neg.f64 x))))) |
(-.f64 (fma.f64 (pow.f64 eps 4) (-.f64 (fma.f64 1/120 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)) (*.f64 1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)))) (fma.f64 -1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)) -1/120))) (fma.f64 (*.f64 eps eps) (-.f64 (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)))) (fma.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) -1/6))) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x)))))) (*.f64 -1 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x)))))) |
(-.f64 (fma.f64 (pow.f64 eps 4) (-.f64 (fma.f64 (/.f64 1/120 (exp.f64 x)) (pow.f64 x 5) (*.f64 (pow.f64 x 4) (/.f64 1/24 (exp.f64 x)))) (fma.f64 (/.f64 -1/24 (exp.f64 x)) (pow.f64 x 4) (*.f64 (pow.f64 x 5) (/.f64 -1/120 (exp.f64 x))))) (fma.f64 (*.f64 eps eps) (-.f64 (fma.f64 (/.f64 1/2 (exp.f64 x)) (*.f64 x x) (*.f64 (pow.f64 x 3) (/.f64 1/6 (exp.f64 x)))) (fma.f64 (/.f64 -1/2 (exp.f64 x)) (*.f64 x x) (*.f64 (pow.f64 x 3) (/.f64 -1/6 (exp.f64 x))))) (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) |
(fma.f64 (pow.f64 eps 4) (fma.f64 1/120 (/.f64 (pow.f64 x 5) (exp.f64 x)) (-.f64 (*.f64 (/.f64 (pow.f64 x 4) (exp.f64 x)) 1/12) (/.f64 (*.f64 (pow.f64 x 5) -1/120) (exp.f64 x)))) (fma.f64 (*.f64 eps eps) (fma.f64 (/.f64 1/6 (exp.f64 x)) (pow.f64 x 3) (+.f64 (*.f64 (pow.f64 x 3) (/.f64 1/6 (exp.f64 x))) (*.f64 (*.f64 x (/.f64 x (exp.f64 x))) 1))) (*.f64 2 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 x -1))))) |
(-.f64 (+.f64 (*.f64 (pow.f64 eps 4) (-.f64 (+.f64 (*.f64 1/120 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5))) (*.f64 1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)))) (+.f64 (*.f64 -1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4))) (*.f64 -1/120 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)))))) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/720 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 6))) (*.f64 1/5040 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 7)))) (+.f64 (*.f64 -1/5040 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 7))) (*.f64 -1/720 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 6))))) (pow.f64 eps 6)) (+.f64 (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))))) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x))))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (neg.f64 x)) x)) (*.f64 -1 (exp.f64 (neg.f64 x))))) |
(-.f64 (fma.f64 (pow.f64 eps 4) (-.f64 (fma.f64 1/120 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)) (*.f64 1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)))) (fma.f64 -1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)) -1/120))) (fma.f64 (-.f64 (fma.f64 1/720 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 6)) (*.f64 1/5040 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 7)))) (fma.f64 -1/5040 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 7)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 6)) -1/720))) (pow.f64 eps 6) (fma.f64 (*.f64 eps eps) (-.f64 (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)))) (fma.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) -1/6))) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x))))))) (*.f64 -1 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x)))))) |
(-.f64 (fma.f64 (pow.f64 eps 4) (-.f64 (fma.f64 (/.f64 1/120 (exp.f64 x)) (pow.f64 x 5) (*.f64 (pow.f64 x 4) (/.f64 1/24 (exp.f64 x)))) (fma.f64 (/.f64 -1/24 (exp.f64 x)) (pow.f64 x 4) (*.f64 (pow.f64 x 5) (/.f64 -1/120 (exp.f64 x))))) (fma.f64 (-.f64 (fma.f64 (/.f64 1/5040 (exp.f64 x)) (pow.f64 x 7) (*.f64 (pow.f64 x 6) (/.f64 1/720 (exp.f64 x)))) (fma.f64 (/.f64 -1/5040 (exp.f64 x)) (pow.f64 x 7) (*.f64 (pow.f64 x 6) (/.f64 -1/720 (exp.f64 x))))) (pow.f64 eps 6) (fma.f64 (*.f64 eps eps) (-.f64 (fma.f64 (/.f64 1/2 (exp.f64 x)) (*.f64 x x) (*.f64 (pow.f64 x 3) (/.f64 1/6 (exp.f64 x)))) (fma.f64 (/.f64 -1/2 (exp.f64 x)) (*.f64 x x) (*.f64 (pow.f64 x 3) (/.f64 -1/6 (exp.f64 x))))) (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) |
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(-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))))) |
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(fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)) (/.f64 (+.f64 eps 1) eps) (/.f64 (/.f64 (-.f64 eps 1) eps) (exp.f64 (fma.f64 x eps x)))) |
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(fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)) (/.f64 (+.f64 eps 1) eps) (/.f64 (/.f64 (-.f64 eps 1) eps) (exp.f64 (fma.f64 x eps x)))) |
(-.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) eps) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (+.f64 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))) (/.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))) eps))) |
(+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) eps) (-.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (fma.f64 -1 (exp.f64 (neg.f64 (fma.f64 eps x x))) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps)))) |
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(fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)) (/.f64 (+.f64 eps 1) eps) (/.f64 (/.f64 (-.f64 eps 1) eps) (exp.f64 (fma.f64 x eps x)))) |
(-.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))))) |
(-.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))))) |
(+.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) (exp.f64 (neg.f64 (fma.f64 x eps x)))) |
(+.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)) (pow.f64 (exp.f64 x) (-.f64 -1 eps))) |
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(-.f64 (fma.f64 -1 (/.f64 (*.f64 -1 (-.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (exp.f64 (*.f64 (-.f64 1 (neg.f64 eps)) (neg.f64 x))))) eps) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (neg.f64 (exp.f64 (*.f64 (-.f64 1 (neg.f64 eps)) (neg.f64 x))))) |
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) (/.f64 (fma.f64 -1 (exp.f64 (fma.f64 x eps (neg.f64 x))) (exp.f64 (neg.f64 (fma.f64 x eps x)))) eps))) |
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(-.f64 (fma.f64 -1 (/.f64 (*.f64 -1 (-.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (exp.f64 (*.f64 (-.f64 1 (neg.f64 eps)) (neg.f64 x))))) eps) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (neg.f64 (exp.f64 (*.f64 (-.f64 1 (neg.f64 eps)) (neg.f64 x))))) |
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) (/.f64 (fma.f64 -1 (exp.f64 (fma.f64 x eps (neg.f64 x))) (exp.f64 (neg.f64 (fma.f64 x eps x)))) eps))) |
(+.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)) (+.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)) (pow.f64 (exp.f64 x) (-.f64 -1 eps))) eps) (pow.f64 (exp.f64 x) (-.f64 -1 eps)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))))) eps)) (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))))) |
(-.f64 (fma.f64 -1 (/.f64 (*.f64 -1 (-.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (exp.f64 (*.f64 (-.f64 1 (neg.f64 eps)) (neg.f64 x))))) eps) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (neg.f64 (exp.f64 (*.f64 (-.f64 1 (neg.f64 eps)) (neg.f64 x))))) |
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) (/.f64 (fma.f64 -1 (exp.f64 (fma.f64 x eps (neg.f64 x))) (exp.f64 (neg.f64 (fma.f64 x eps x)))) eps))) |
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2 |
(+.f64 2 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)))) x)) |
(+.f64 2 (*.f64 x (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 eps 1)) (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 eps 1)))))) |
(fma.f64 x (fma.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 eps 1) (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 eps 1))) 2) |
(fma.f64 x (fma.f64 (/.f64 (+.f64 eps 1) eps) (-.f64 eps 1) (-.f64 (/.f64 (+.f64 eps 1) eps) (+.f64 eps 1))) 2) |
(+.f64 2 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)))) x) (*.f64 (-.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 2))) (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 eps) 1) (pow.f64 (+.f64 1 eps) 2)))) (pow.f64 x 2)))) |
(+.f64 2 (fma.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 eps 1)) (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 eps 1)))) x (*.f64 (*.f64 x x) (*.f64 1/2 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 eps 1) 2)) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (+.f64 eps 1) 2))))))) |
(+.f64 2 (fma.f64 x (fma.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 eps 1) (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 eps 1))) (*.f64 (*.f64 x x) (*.f64 1/2 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 eps 1) 2)) (*.f64 (+.f64 -1 (/.f64 1 eps)) (pow.f64 (+.f64 eps 1) 2))))))) |
(+.f64 2 (*.f64 x (+.f64 (fma.f64 (/.f64 (+.f64 eps 1) eps) (-.f64 eps 1) (-.f64 (/.f64 (+.f64 eps 1) eps) (+.f64 eps 1))) (*.f64 (-.f64 (*.f64 (pow.f64 (-.f64 eps 1) 2) (+.f64 1/2 (/.f64 1/2 eps))) (*.f64 (pow.f64 (+.f64 eps 1) 2) (+.f64 -1/2 (/.f64 1/2 eps)))) x)))) |
(+.f64 2 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)))) x) (+.f64 (*.f64 (-.f64 (*.f64 1/6 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 3))) (*.f64 -1/6 (*.f64 (-.f64 (/.f64 1 eps) 1) (pow.f64 (+.f64 1 eps) 3)))) (pow.f64 x 3)) (*.f64 (-.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 2))) (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 eps) 1) (pow.f64 (+.f64 1 eps) 2)))) (pow.f64 x 2))))) |
(+.f64 2 (fma.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 eps 1)) (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 eps 1)))) x (fma.f64 (-.f64 (*.f64 1/6 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 eps 1) 3))) (*.f64 -1/6 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (+.f64 eps 1) 3)))) (pow.f64 x 3) (*.f64 (*.f64 x x) (*.f64 1/2 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 eps 1) 2)) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (+.f64 eps 1) 2)))))))) |
(+.f64 2 (fma.f64 x (fma.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 eps 1) (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 eps 1))) (fma.f64 (pow.f64 x 3) (*.f64 1/6 (+.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 eps 1) 3)) (*.f64 (+.f64 -1 (/.f64 1 eps)) (pow.f64 (+.f64 eps 1) 3)))) (*.f64 (*.f64 x x) (*.f64 1/2 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 eps 1) 2)) (*.f64 (+.f64 -1 (/.f64 1 eps)) (pow.f64 (+.f64 eps 1) 2)))))))) |
(+.f64 (fma.f64 x (fma.f64 (/.f64 (+.f64 eps 1) eps) (-.f64 eps 1) (-.f64 (/.f64 (+.f64 eps 1) eps) (+.f64 eps 1))) 2) (*.f64 (*.f64 x x) (+.f64 (-.f64 (*.f64 (pow.f64 (-.f64 eps 1) 2) (+.f64 1/2 (/.f64 1/2 eps))) (*.f64 (pow.f64 (+.f64 eps 1) 2) (+.f64 -1/2 (/.f64 1/2 eps)))) (*.f64 (fma.f64 (pow.f64 (-.f64 eps 1) 3) (+.f64 1/6 (/.f64 1/6 eps)) (*.f64 (pow.f64 (+.f64 eps 1) 3) (+.f64 -1/6 (/.f64 1/6 eps)))) x)))) |
(-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x))) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))) (-.f64 (/.f64 1 eps) 1))) |
(+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) eps) (-.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (fma.f64 -1 (exp.f64 (neg.f64 (fma.f64 eps x x))) (/.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) eps)))) |
(+.f64 (/.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) eps) (-.f64 (+.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) (exp.f64 (neg.f64 (fma.f64 x eps x)))) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps))) |
(fma.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)) (/.f64 (+.f64 eps 1) eps) (/.f64 (/.f64 (-.f64 eps 1) eps) (exp.f64 (fma.f64 x eps x)))) |
(-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x))) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))) (-.f64 (/.f64 1 eps) 1))) |
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(+.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) eps)) |
(+.f64 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 x -1)) (/.f64 (exp.f64 (neg.f64 x)) eps)) |
(+.f64 (*.f64 (+.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) eps) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x)))) |
(fma.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)))) eps (+.f64 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x)))) (/.f64 (exp.f64 (neg.f64 x)) eps))) |
(fma.f64 eps (fma.f64 (/.f64 1/2 (exp.f64 x)) (*.f64 x x) (*.f64 x (exp.f64 (neg.f64 x)))) (+.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) eps))) |
(+.f64 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 x -1)) (fma.f64 eps (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x (*.f64 1/2 (*.f64 x x)))) (/.f64 (exp.f64 (neg.f64 x)) eps))) |
(+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))))) (+.f64 (*.f64 (+.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) eps) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x))))) |
(fma.f64 (*.f64 eps eps) (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)))) (fma.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)))) eps (+.f64 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x)))) (/.f64 (exp.f64 (neg.f64 x)) eps)))) |
(fma.f64 (*.f64 eps eps) (fma.f64 (/.f64 1/2 (exp.f64 x)) (*.f64 x x) (*.f64 (pow.f64 x 3) (/.f64 1/6 (exp.f64 x)))) (fma.f64 eps (fma.f64 (/.f64 1/2 (exp.f64 x)) (*.f64 x x) (*.f64 x (exp.f64 (neg.f64 x)))) (+.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) eps)))) |
(fma.f64 (*.f64 eps eps) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 -1/6 (pow.f64 x 3)))) (+.f64 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 x -1)) (fma.f64 eps (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x (*.f64 1/2 (*.f64 x x)))) (/.f64 (exp.f64 (neg.f64 x)) eps)))) |
(exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) |
(exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) |
(exp.f64 (fma.f64 x eps (neg.f64 x))) |
(pow.f64 (exp.f64 x) (-.f64 eps 1)) |
(+.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) eps) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) |
(+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) eps) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) |
(+.f64 (/.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) eps) (exp.f64 (fma.f64 x eps (neg.f64 x)))) |
(/.f64 (/.f64 (+.f64 eps 1) eps) (pow.f64 (exp.f64 (-.f64 1 eps)) x)) |
(+.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) eps) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) |
(+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) eps) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) |
(+.f64 (/.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) eps) (exp.f64 (fma.f64 x eps (neg.f64 x)))) |
(/.f64 (/.f64 (+.f64 eps 1) eps) (pow.f64 (exp.f64 (-.f64 1 eps)) x)) |
(+.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) eps) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) |
(+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) eps) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) |
(+.f64 (/.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) eps) (exp.f64 (fma.f64 x eps (neg.f64 x)))) |
(/.f64 (/.f64 (+.f64 eps 1) eps) (pow.f64 (exp.f64 (-.f64 1 eps)) x)) |
(exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) |
(exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) |
(exp.f64 (fma.f64 x eps (neg.f64 x))) |
(pow.f64 (exp.f64 x) (-.f64 eps 1)) |
(+.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (/.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) eps)) |
(+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) eps) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) |
(+.f64 (/.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) eps) (exp.f64 (fma.f64 x eps (neg.f64 x)))) |
(/.f64 (/.f64 (+.f64 eps 1) eps) (pow.f64 (exp.f64 (-.f64 1 eps)) x)) |
(+.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (/.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) eps)) |
(+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) eps) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) |
(+.f64 (/.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) eps) (exp.f64 (fma.f64 x eps (neg.f64 x)))) |
(/.f64 (/.f64 (+.f64 eps 1) eps) (pow.f64 (exp.f64 (-.f64 1 eps)) x)) |
(+.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (/.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) eps)) |
(+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) eps) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) |
(+.f64 (/.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) eps) (exp.f64 (fma.f64 x eps (neg.f64 x)))) |
(/.f64 (/.f64 (+.f64 eps 1) eps) (pow.f64 (exp.f64 (-.f64 1 eps)) x)) |
(+.f64 (/.f64 1 eps) 1) |
(+.f64 1 (/.f64 1 eps)) |
(/.f64 (+.f64 eps 1) eps) |
(+.f64 (/.f64 1 eps) (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 eps 1) x)))) |
(+.f64 (/.f64 1 eps) (+.f64 1 (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 x (-.f64 eps 1))))) |
(*.f64 (fma.f64 x (-.f64 eps 1) 1) (+.f64 1 (/.f64 1 eps))) |
(*.f64 (fma.f64 x (-.f64 eps 1) 1) (/.f64 (+.f64 eps 1) eps)) |
(+.f64 (/.f64 1 eps) (+.f64 1 (+.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2)))) (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 eps 1) x))))) |
(+.f64 (/.f64 1 eps) (+.f64 1 (fma.f64 1/2 (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (*.f64 x x) (pow.f64 (-.f64 eps 1) 2))) (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 x (-.f64 eps 1)))))) |
(+.f64 (*.f64 (fma.f64 x (-.f64 eps 1) 1) (+.f64 1 (/.f64 1 eps))) (*.f64 1/2 (*.f64 (*.f64 x x) (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 eps 1) 2))))) |
(*.f64 (/.f64 (+.f64 eps 1) eps) (fma.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (-.f64 eps 1) 2)) (fma.f64 x (-.f64 eps 1) 1))) |
(+.f64 (/.f64 1 eps) (+.f64 1 (+.f64 (*.f64 1/6 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (-.f64 eps 1) 3) (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2)))) (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 eps 1) x)))))) |
(+.f64 (/.f64 1 eps) (+.f64 1 (fma.f64 1/6 (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 eps 1) 3))) (fma.f64 1/2 (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (*.f64 x x) (pow.f64 (-.f64 eps 1) 2))) (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 x (-.f64 eps 1))))))) |
(+.f64 (+.f64 (*.f64 (fma.f64 x (-.f64 eps 1) 1) (+.f64 1 (/.f64 1 eps))) (*.f64 1/2 (*.f64 (*.f64 x x) (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 eps 1) 2))))) (*.f64 1/6 (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 eps 1) 3))))) |
(+.f64 (*.f64 (/.f64 (+.f64 eps 1) eps) (fma.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (-.f64 eps 1) 2)) (fma.f64 x (-.f64 eps 1) 1))) (*.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 eps 1) 3)) (+.f64 1/6 (/.f64 1/6 eps)))) |
(*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x))) |
(+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) eps) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) |
(+.f64 (/.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) eps) (exp.f64 (fma.f64 x eps (neg.f64 x)))) |
(/.f64 (/.f64 (+.f64 eps 1) eps) (pow.f64 (exp.f64 (-.f64 1 eps)) x)) |
(*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x))) |
(+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) eps) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) |
(+.f64 (/.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) eps) (exp.f64 (fma.f64 x eps (neg.f64 x)))) |
(/.f64 (/.f64 (+.f64 eps 1) eps) (pow.f64 (exp.f64 (-.f64 1 eps)) x)) |
(*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x))) |
(+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) eps) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) |
(+.f64 (/.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) eps) (exp.f64 (fma.f64 x eps (neg.f64 x)))) |
(/.f64 (/.f64 (+.f64 eps 1) eps) (pow.f64 (exp.f64 (-.f64 1 eps)) x)) |
(*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x))) |
(+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) eps) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) |
(+.f64 (/.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) eps) (exp.f64 (fma.f64 x eps (neg.f64 x)))) |
(/.f64 (/.f64 (+.f64 eps 1) eps) (pow.f64 (exp.f64 (-.f64 1 eps)) x)) |
(*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) |
(+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) eps) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) |
(+.f64 (/.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) eps) (exp.f64 (fma.f64 x eps (neg.f64 x)))) |
(/.f64 (/.f64 (+.f64 eps 1) eps) (pow.f64 (exp.f64 (-.f64 1 eps)) x)) |
(*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) |
(+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) eps) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) |
(+.f64 (/.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) eps) (exp.f64 (fma.f64 x eps (neg.f64 x)))) |
(/.f64 (/.f64 (+.f64 eps 1) eps) (pow.f64 (exp.f64 (-.f64 1 eps)) x)) |
(*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) |
(+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) eps) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) |
(+.f64 (/.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) eps) (exp.f64 (fma.f64 x eps (neg.f64 x)))) |
(/.f64 (/.f64 (+.f64 eps 1) eps) (pow.f64 (exp.f64 (-.f64 1 eps)) x)) |
(*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) |
(+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) eps) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) |
(+.f64 (/.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) eps) (exp.f64 (fma.f64 x eps (neg.f64 x)))) |
(/.f64 (/.f64 (+.f64 eps 1) eps) (pow.f64 (exp.f64 (-.f64 1 eps)) x)) |
(exp.f64 (neg.f64 x)) |
(+.f64 (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) x)) (exp.f64 (neg.f64 x))) |
(fma.f64 eps (*.f64 x (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x))) |
(fma.f64 (/.f64 eps (exp.f64 x)) x (exp.f64 (neg.f64 x))) |
(*.f64 (+.f64 (*.f64 x eps) 1) (exp.f64 (neg.f64 x))) |
(+.f64 (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (exp.f64 (neg.f64 x)))) |
(fma.f64 eps (*.f64 x (exp.f64 (neg.f64 x))) (fma.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x))) (exp.f64 (neg.f64 x)))) |
(fma.f64 (/.f64 eps (exp.f64 x)) x (fma.f64 1/2 (*.f64 (*.f64 x x) (*.f64 eps (/.f64 eps (exp.f64 x)))) (exp.f64 (neg.f64 x)))) |
(fma.f64 (/.f64 x (exp.f64 x)) eps (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 eps eps) 1/2) (*.f64 x x)) 1) (exp.f64 (neg.f64 x)))) |
(+.f64 (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))) (exp.f64 (neg.f64 x))))) |
(fma.f64 eps (*.f64 x (exp.f64 (neg.f64 x))) (fma.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x))) (fma.f64 1/6 (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (pow.f64 eps 3)) (exp.f64 (neg.f64 x))))) |
(+.f64 (fma.f64 1/2 (*.f64 (*.f64 x x) (*.f64 eps (/.f64 eps (exp.f64 x)))) (*.f64 (*.f64 (pow.f64 x 3) (/.f64 1/6 (exp.f64 x))) (pow.f64 eps 3))) (fma.f64 (/.f64 eps (exp.f64 x)) x (exp.f64 (neg.f64 x)))) |
(fma.f64 (/.f64 x (exp.f64 x)) eps (fma.f64 1/2 (*.f64 eps (/.f64 (*.f64 eps (*.f64 x x)) (exp.f64 x))) (fma.f64 1/6 (*.f64 (/.f64 (pow.f64 x 3) (exp.f64 x)) (pow.f64 eps 3)) (exp.f64 (neg.f64 x))))) |
(exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) |
(exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) |
(exp.f64 (fma.f64 x eps (neg.f64 x))) |
(pow.f64 (exp.f64 x) (-.f64 eps 1)) |
(exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) |
(exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) |
(exp.f64 (fma.f64 x eps (neg.f64 x))) |
(pow.f64 (exp.f64 x) (-.f64 eps 1)) |
(exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) |
(exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) |
(exp.f64 (fma.f64 x eps (neg.f64 x))) |
(pow.f64 (exp.f64 x) (-.f64 eps 1)) |
(exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) |
(exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) |
(exp.f64 (fma.f64 x eps (neg.f64 x))) |
(pow.f64 (exp.f64 x) (-.f64 eps 1)) |
1 |
(+.f64 1 (*.f64 (-.f64 eps 1) x)) |
(+.f64 1 (*.f64 x (-.f64 eps 1))) |
(fma.f64 x (-.f64 eps 1) 1) |
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 1 (*.f64 (-.f64 eps 1) x))) |
(fma.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (-.f64 eps 1) 2)) (+.f64 1 (*.f64 x (-.f64 eps 1)))) |
(fma.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (-.f64 eps 1) 2)) (fma.f64 x (-.f64 eps 1) 1)) |
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (*.f64 (-.f64 eps 1) x) (*.f64 1/6 (*.f64 (pow.f64 (-.f64 eps 1) 3) (pow.f64 x 3)))))) |
(fma.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (-.f64 eps 1) 2)) (+.f64 1 (fma.f64 (-.f64 eps 1) x (*.f64 1/6 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 eps 1) 3)))))) |
(fma.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (-.f64 eps 1) 2)) (+.f64 1 (fma.f64 1/6 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 eps 1) 3)) (fma.f64 x eps (neg.f64 x))))) |
(+.f64 (fma.f64 x (-.f64 eps 1) 1) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 1/6 (pow.f64 (-.f64 eps 1) 3)) x) (*.f64 1/2 (pow.f64 (-.f64 eps 1) 2))))) |
(exp.f64 (-.f64 (*.f64 eps x) x)) |
(exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) |
(exp.f64 (fma.f64 x eps (neg.f64 x))) |
(pow.f64 (exp.f64 x) (-.f64 eps 1)) |
(exp.f64 (-.f64 (*.f64 eps x) x)) |
(exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) |
(exp.f64 (fma.f64 x eps (neg.f64 x))) |
(pow.f64 (exp.f64 x) (-.f64 eps 1)) |
(exp.f64 (-.f64 (*.f64 eps x) x)) |
(exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) |
(exp.f64 (fma.f64 x eps (neg.f64 x))) |
(pow.f64 (exp.f64 x) (-.f64 eps 1)) |
(exp.f64 (-.f64 (*.f64 eps x) x)) |
(exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) |
(exp.f64 (fma.f64 x eps (neg.f64 x))) |
(pow.f64 (exp.f64 x) (-.f64 eps 1)) |
Compiled 16481 to 11691 computations (29.1% saved)
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 412 | 10 | 422 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 0 | 1 |
| Total | 414 | 10 | 424 |
| Status | Error | Program |
|---|---|---|
| ▶ | 43.6b | (*.f64 1/2 0) |
| 27.1b | (/.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2) | |
| 61.1b | (/.f64 (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x)))) 3) 2) | |
| ▶ | 0.7b | (/.f64 (*.f64 2 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 x -1))) 2) |
| ▶ | 46.6b | (/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 (*.f64 x (-.f64 -1 eps)) 1))) 2) |
| ▶ | 1.0b | (/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))))) 2) |
| 19.7b | (/.f64 2 2) | |
| 46.4b | (/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 eps 1) x))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2) | |
| 46.6b | (/.f64 (-.f64 (/.f64 (+.f64 eps 1) eps) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2) | |
| ▶ | 0.7b | (*.f64 1/2 (+.f64 (/.f64 x (exp.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 2 x)))) |
Compiled 412 to 332 computations (19.4% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 x (exp.f64 x)) |
| ✓ | 0.0b | (*.f64 (exp.f64 (neg.f64 x)) (+.f64 2 x)) |
| ✓ | 0.0b | (+.f64 (/.f64 x (exp.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 2 x))) |
Compiled 52 to 23 computations (55.8% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (+.f64 (/.f64 x (exp.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 2 x))) |
| 1.0ms | x | @ | -inf | (+.f64 (/.f64 x (exp.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 2 x))) |
| 1.0ms | x | @ | -inf | (/.f64 x (exp.f64 x)) |
| 1.0ms | x | @ | 0 | (+.f64 (/.f64 x (exp.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 2 x))) |
| 0.0ms | x | @ | inf | (/.f64 x (exp.f64 x)) |
| 1× | batch-egg-rewrite |
| 515× | fma-def_binary64 |
| 484× | log-prod_binary64 |
| 311× | pow-prod-down_binary64 |
| 256× | fma-neg_binary64 |
| 251× | pow2_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 44 |
| 1 | 226 | 30 |
| 2 | 3498 | 3 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (/.f64 x (exp.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 2 x))) |
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 2 x)) |
(/.f64 x (exp.f64 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x . 2))))) |
((#(struct:change #<rule egg-rr> (2) ((x . 2))))) |
((#(struct:change #<rule egg-rr> (2) ((x . 0)))) (#(struct:change #<rule egg-rr> (2) ((x . x))))) |
| 1× | egg-herbie |
| 736× | distribute-rgt-neg-in_binary64 |
| 625× | distribute-lft-neg-in_binary64 |
| 562× | associate-*l*_binary64 |
| 449× | associate-*r*_binary64 |
| 286× | unswap-sqr_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 418 |
| 1 | 162 | 316 |
| 2 | 404 | 290 |
| 3 | 1371 | 275 |
| 4 | 5090 | 275 |
| 1× | node limit |
| Inputs |
|---|
2 |
(+.f64 2 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 2 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 2/3 (pow.f64 x 3)))) |
(+.f64 2 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1/4 (pow.f64 x 4)) (*.f64 2/3 (pow.f64 x 3))))) |
(*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (neg.f64 x))) x) |
(+.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (neg.f64 x))) x) (*.f64 2 (exp.f64 (neg.f64 x)))) |
(+.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (neg.f64 x))) x) (*.f64 2 (exp.f64 (neg.f64 x)))) |
(+.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (neg.f64 x))) x) (*.f64 2 (exp.f64 (neg.f64 x)))) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (/.f64 1 (exp.f64 x))) x)) |
(+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (/.f64 1 (exp.f64 x))) x)) (*.f64 2 (exp.f64 (*.f64 -1 x)))) |
(+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (/.f64 1 (exp.f64 x))) x)) (*.f64 2 (exp.f64 (*.f64 -1 x)))) |
(+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (/.f64 1 (exp.f64 x))) x)) (*.f64 2 (exp.f64 (*.f64 -1 x)))) |
2 |
(+.f64 2 (*.f64 -1 x)) |
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 -1 x))) |
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (+.f64 (*.f64 -1 x) (*.f64 -1/12 (pow.f64 x 4))))) |
(*.f64 (exp.f64 (neg.f64 x)) x) |
(+.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (*.f64 2 (exp.f64 (neg.f64 x)))) |
(+.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (*.f64 2 (exp.f64 (neg.f64 x)))) |
(+.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (*.f64 2 (exp.f64 (neg.f64 x)))) |
(*.f64 (exp.f64 (*.f64 -1 x)) x) |
(+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 2 (exp.f64 (*.f64 -1 x)))) |
(+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 2 (exp.f64 (*.f64 -1 x)))) |
(+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 2 (exp.f64 (*.f64 -1 x)))) |
x |
(+.f64 (*.f64 -1 (pow.f64 x 2)) x) |
(+.f64 (*.f64 1/2 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) x)) |
(+.f64 (*.f64 1/2 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1/6 (pow.f64 x 4)) x))) |
| Outputs |
|---|
2 |
(+.f64 2 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 2 (neg.f64 (*.f64 x x))) |
(-.f64 2 (*.f64 x x)) |
(neg.f64 (fma.f64 x x -2)) |
(+.f64 2 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 2/3 (pow.f64 x 3)))) |
(+.f64 2 (fma.f64 -1 (*.f64 x x) (*.f64 2/3 (pow.f64 x 3)))) |
(+.f64 2 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x (neg.f64 x)))) |
(-.f64 (fma.f64 2/3 (pow.f64 x 3) 2) (*.f64 x x)) |
(-.f64 (*.f64 2/3 (pow.f64 x 3)) (fma.f64 x x -2)) |
(+.f64 2 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1/4 (pow.f64 x 4)) (*.f64 2/3 (pow.f64 x 3))))) |
(+.f64 2 (fma.f64 -1 (*.f64 x x) (fma.f64 -1/4 (pow.f64 x 4) (*.f64 2/3 (pow.f64 x 3))))) |
(+.f64 (-.f64 2 (*.f64 x x)) (fma.f64 -1/4 (pow.f64 x 4) (*.f64 2/3 (pow.f64 x 3)))) |
(+.f64 2 (-.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 -1/4 (pow.f64 x 4))) (*.f64 x x))) |
(-.f64 (*.f64 (pow.f64 x 3) (+.f64 2/3 (*.f64 x -1/4))) (fma.f64 x x -2)) |
(*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (neg.f64 x))) x) |
(*.f64 x (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) |
(*.f64 x (/.f64 2 (exp.f64 x))) |
(*.f64 2 (/.f64 x (exp.f64 x))) |
(+.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (neg.f64 x))) x) (*.f64 2 (exp.f64 (neg.f64 x)))) |
(fma.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) x (*.f64 2 (exp.f64 (neg.f64 x)))) |
(fma.f64 x (/.f64 2 (exp.f64 x)) (/.f64 2 (exp.f64 x))) |
(*.f64 (+.f64 x 1) (/.f64 2 (exp.f64 x))) |
(*.f64 (/.f64 -2 (exp.f64 x)) (-.f64 -1 x)) |
(+.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (neg.f64 x))) x) (*.f64 2 (exp.f64 (neg.f64 x)))) |
(fma.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) x (*.f64 2 (exp.f64 (neg.f64 x)))) |
(fma.f64 x (/.f64 2 (exp.f64 x)) (/.f64 2 (exp.f64 x))) |
(*.f64 (+.f64 x 1) (/.f64 2 (exp.f64 x))) |
(*.f64 (/.f64 -2 (exp.f64 x)) (-.f64 -1 x)) |
(+.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (neg.f64 x))) x) (*.f64 2 (exp.f64 (neg.f64 x)))) |
(fma.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) x (*.f64 2 (exp.f64 (neg.f64 x)))) |
(fma.f64 x (/.f64 2 (exp.f64 x)) (/.f64 2 (exp.f64 x))) |
(*.f64 (+.f64 x 1) (/.f64 2 (exp.f64 x))) |
(*.f64 (/.f64 -2 (exp.f64 x)) (-.f64 -1 x)) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (/.f64 1 (exp.f64 x))) x)) |
(*.f64 x (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) |
(*.f64 x (/.f64 2 (exp.f64 x))) |
(*.f64 2 (/.f64 x (exp.f64 x))) |
(+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (/.f64 1 (exp.f64 x))) x)) (*.f64 2 (exp.f64 (*.f64 -1 x)))) |
(fma.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) x (*.f64 2 (exp.f64 (neg.f64 x)))) |
(fma.f64 x (/.f64 2 (exp.f64 x)) (/.f64 2 (exp.f64 x))) |
(*.f64 (+.f64 x 1) (/.f64 2 (exp.f64 x))) |
(*.f64 (/.f64 -2 (exp.f64 x)) (-.f64 -1 x)) |
(+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (/.f64 1 (exp.f64 x))) x)) (*.f64 2 (exp.f64 (*.f64 -1 x)))) |
(fma.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) x (*.f64 2 (exp.f64 (neg.f64 x)))) |
(fma.f64 x (/.f64 2 (exp.f64 x)) (/.f64 2 (exp.f64 x))) |
(*.f64 (+.f64 x 1) (/.f64 2 (exp.f64 x))) |
(*.f64 (/.f64 -2 (exp.f64 x)) (-.f64 -1 x)) |
(+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (exp.f64 (*.f64 -1 x))) (/.f64 1 (exp.f64 x))) x)) (*.f64 2 (exp.f64 (*.f64 -1 x)))) |
(fma.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) x (*.f64 2 (exp.f64 (neg.f64 x)))) |
(fma.f64 x (/.f64 2 (exp.f64 x)) (/.f64 2 (exp.f64 x))) |
(*.f64 (+.f64 x 1) (/.f64 2 (exp.f64 x))) |
(*.f64 (/.f64 -2 (exp.f64 x)) (-.f64 -1 x)) |
2 |
(+.f64 2 (*.f64 -1 x)) |
(+.f64 2 (neg.f64 x)) |
(-.f64 2 x) |
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 -1 x))) |
(fma.f64 1/6 (pow.f64 x 3) (+.f64 2 (neg.f64 x))) |
(-.f64 (fma.f64 (pow.f64 x 3) 1/6 2) x) |
(fma.f64 (pow.f64 x 3) 1/6 (-.f64 2 x)) |
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (+.f64 (*.f64 -1 x) (*.f64 -1/12 (pow.f64 x 4))))) |
(fma.f64 1/6 (pow.f64 x 3) (+.f64 2 (fma.f64 -1 x (*.f64 (pow.f64 x 4) -1/12)))) |
(+.f64 (fma.f64 (pow.f64 x 4) -1/12 (neg.f64 x)) (fma.f64 (pow.f64 x 3) 1/6 2)) |
(fma.f64 (pow.f64 x 3) 1/6 (fma.f64 (pow.f64 x 4) -1/12 (-.f64 2 x))) |
(*.f64 (exp.f64 (neg.f64 x)) x) |
(*.f64 x (exp.f64 (neg.f64 x))) |
(/.f64 x (exp.f64 x)) |
(+.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (*.f64 2 (exp.f64 (neg.f64 x)))) |
(fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 2 (exp.f64 (neg.f64 x)))) |
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 2 x)) |
(/.f64 (+.f64 2 x) (exp.f64 x)) |
(+.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (*.f64 2 (exp.f64 (neg.f64 x)))) |
(fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 2 (exp.f64 (neg.f64 x)))) |
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 2 x)) |
(/.f64 (+.f64 2 x) (exp.f64 x)) |
(+.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (*.f64 2 (exp.f64 (neg.f64 x)))) |
(fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 2 (exp.f64 (neg.f64 x)))) |
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 2 x)) |
(/.f64 (+.f64 2 x) (exp.f64 x)) |
(*.f64 (exp.f64 (*.f64 -1 x)) x) |
(*.f64 x (exp.f64 (neg.f64 x))) |
(/.f64 x (exp.f64 x)) |
(+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 2 (exp.f64 (*.f64 -1 x)))) |
(fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 2 (exp.f64 (neg.f64 x)))) |
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 2 x)) |
(/.f64 (+.f64 2 x) (exp.f64 x)) |
(+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 2 (exp.f64 (*.f64 -1 x)))) |
(fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 2 (exp.f64 (neg.f64 x)))) |
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 2 x)) |
(/.f64 (+.f64 2 x) (exp.f64 x)) |
(+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 2 (exp.f64 (*.f64 -1 x)))) |
(fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 2 (exp.f64 (neg.f64 x)))) |
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 2 x)) |
(/.f64 (+.f64 2 x) (exp.f64 x)) |
x |
(+.f64 (*.f64 -1 (pow.f64 x 2)) x) |
(fma.f64 -1 (*.f64 x x) x) |
(-.f64 x (*.f64 x x)) |
(+.f64 (*.f64 1/2 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) x)) |
(fma.f64 1/2 (pow.f64 x 3) (fma.f64 -1 (*.f64 x x) x)) |
(fma.f64 (pow.f64 x 3) 1/2 (-.f64 x (*.f64 x x))) |
(-.f64 (fma.f64 (pow.f64 x 3) 1/2 x) (*.f64 x x)) |
(+.f64 (*.f64 1/2 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1/6 (pow.f64 x 4)) x))) |
(fma.f64 1/2 (pow.f64 x 3) (fma.f64 -1 (*.f64 x x) (fma.f64 -1/6 (pow.f64 x 4) x))) |
(fma.f64 (pow.f64 x 3) 1/2 (-.f64 (fma.f64 (pow.f64 x 4) -1/6 x) (*.f64 x x))) |
(fma.f64 (pow.f64 x 3) 1/2 (fma.f64 (pow.f64 x 4) -1/6 (-.f64 x (*.f64 x x)))) |
Compiled 7 to 7 computations (0% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (exp.f64 (neg.f64 x)) (-.f64 x -1)) |
Compiled 40 to 23 computations (42.5% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 (exp.f64 (neg.f64 x)) (-.f64 x -1)) |
| 0.0ms | x | @ | inf | (*.f64 (exp.f64 (neg.f64 x)) (-.f64 x -1)) |
| 0.0ms | x | @ | -inf | (*.f64 (exp.f64 (neg.f64 x)) (-.f64 x -1)) |
| 1× | batch-egg-rewrite |
| 616× | pow1_binary64 |
| 573× | add-log-exp_binary64 |
| 571× | log1p-expm1-u_binary64 |
| 571× | expm1-log1p-u_binary64 |
| 562× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 11 |
| 1 | 145 | 8 |
| 2 | 1874 | 8 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (exp.f64 (neg.f64 x)) (-.f64 x -1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (exp.f64 x)) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (exp.f64 x) x) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (exp.f64 (+.f64 x (log1p.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x 1) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) 1) (*.f64 (exp.f64 x) (fma.f64 x x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -1) (*.f64 (exp.f64 x) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 3) 1) 1) (*.f64 (fma.f64 x x (+.f64 x 1)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1) 1) (*.f64 (+.f64 x -1) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 3) 1) (exp.f64 x)) (fma.f64 x x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1) (exp.f64 x)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (exp.f64 x) (+.f64 (pow.f64 x 3) 1)) (fma.f64 x x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (exp.f64 x) (fma.f64 x x -1)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (+.f64 x (log1p.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (+.f64 x (log1p.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (+.f64 x (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (+.f64 x (log1p.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (+.f64 x (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (+.f64 x (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 x (log1p.f64 x))))))) |
| 1× | egg-herbie |
| 883× | fma-def_binary64 |
| 603× | fma-neg_binary64 |
| 385× | *-commutative_binary64 |
| 283× | sqr-pow_binary64 |
| 278× | distribute-lft-out_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 146 |
| 1 | 72 | 132 |
| 2 | 150 | 125 |
| 3 | 473 | 106 |
| 4 | 1500 | 103 |
| 5 | 3433 | 103 |
| 6 | 4948 | 103 |
| 7 | 6121 | 103 |
| 8 | 7822 | 103 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3)))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 4))))) |
(*.f64 (exp.f64 (neg.f64 x)) x) |
(+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x)) |
(+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x)) |
(+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x)) |
(*.f64 (exp.f64 (*.f64 -1 x)) x) |
(+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x))) |
(+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x))) |
(+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x))) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1/2 (*.f64 x x))) |
(fma.f64 -1/2 (*.f64 x x) 1) |
(fma.f64 x (*.f64 -1/2 x) 1) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3)))) |
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (*.f64 1/3 (pow.f64 x 3)))) |
(fma.f64 -1/2 (*.f64 x x) (fma.f64 1/3 (pow.f64 x 3) 1)) |
(fma.f64 (*.f64 x x) (fma.f64 x 1/3 -1/2) 1) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 4))))) |
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (fma.f64 1/3 (pow.f64 x 3) (*.f64 -1/8 (pow.f64 x 4))))) |
(+.f64 1 (fma.f64 -1/8 (pow.f64 x 4) (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x 1/3))))) |
(fma.f64 -1/8 (pow.f64 x 4) (fma.f64 (*.f64 x x) (fma.f64 x 1/3 -1/2) 1)) |
(fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x -1/8 1/3) -1/2)) 1) |
(*.f64 (exp.f64 (neg.f64 x)) x) |
(*.f64 x (exp.f64 (neg.f64 x))) |
(/.f64 x (exp.f64 x)) |
(+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x)) |
(fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x))) |
(*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) |
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)) |
(/.f64 (+.f64 1 x) (exp.f64 x)) |
(+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x)) |
(fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x))) |
(*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) |
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)) |
(/.f64 (+.f64 1 x) (exp.f64 x)) |
(+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x)) |
(fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x))) |
(*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) |
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)) |
(/.f64 (+.f64 1 x) (exp.f64 x)) |
(*.f64 (exp.f64 (*.f64 -1 x)) x) |
(*.f64 x (exp.f64 (neg.f64 x))) |
(/.f64 x (exp.f64 x)) |
(+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x))) |
(fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x))) |
(*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) |
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)) |
(/.f64 (+.f64 1 x) (exp.f64 x)) |
(+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x))) |
(fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x))) |
(*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) |
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)) |
(/.f64 (+.f64 1 x) (exp.f64 x)) |
(+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x))) |
(fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x))) |
(*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) |
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 x)) |
(/.f64 (+.f64 1 x) (exp.f64 x)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) | |
| 0.0b | (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) | |
| ✓ | 0.1b | (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 (*.f64 x (-.f64 -1 eps)) 1)) |
| ✓ | 4.3b | (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 (*.f64 x (-.f64 -1 eps)) 1))) |
Compiled 138 to 103 computations (25.4% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | eps | @ | 0 | (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 (*.f64 x (-.f64 -1 eps)) 1))) |
| 1.0ms | x | @ | inf | (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 (*.f64 x (-.f64 -1 eps)) 1))) |
| 1.0ms | x | @ | -inf | (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 (*.f64 x (-.f64 -1 eps)) 1))) |
| 1.0ms | eps | @ | inf | (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 (*.f64 x (-.f64 -1 eps)) 1))) |
| 1.0ms | eps | @ | -inf | (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 (*.f64 x (-.f64 -1 eps)) 1))) |
| 1× | batch-egg-rewrite |
| 442× | fma-neg_binary64 |
| 351× | expm1-udef_binary64 |
| 351× | log1p-udef_binary64 |
| 218× | add-sqr-sqrt_binary64 |
| 215× | *-un-lft-identity_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 56 |
| 1 | 423 | 52 |
| 2 | 6296 | 52 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 (*.f64 x (-.f64 -1 eps)) 1))) |
(*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 (*.f64 x (-.f64 -1 eps)) 1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (*.f64 (fma.f64 x (-.f64 -1 eps) 1) (+.f64 1 (/.f64 -1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (*.f64 (*.f64 (fma.f64 x (-.f64 -1 eps) 1) (+.f64 1 (/.f64 -1 eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (+.f64 (*.f64 (fma.f64 x (-.f64 -1 eps) 1) (+.f64 1 (/.f64 -1 eps))) (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x (-.f64 -1 eps) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 x (-.f64 -1 eps) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x) (*.f64 (fma.f64 x (-.f64 -1 eps) 1) (+.f64 1 (/.f64 -1 eps)))) (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x (-.f64 -1 eps) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 x (-.f64 -1 eps) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x) (*.f64 (fma.f64 x (-.f64 -1 eps) 1) (+.f64 1 (/.f64 -1 eps)))) (fma.f64 (*.f64 (fma.f64 x (-.f64 -1 eps) 1) (+.f64 1 (/.f64 -1 eps))) 1 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 x (-.f64 -1 eps) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x) (*.f64 (fma.f64 x (-.f64 -1 eps) 1) (+.f64 1 (/.f64 -1 eps)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 x (-.f64 -1 eps) 1)))) (cbrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 x (-.f64 -1 eps) 1)) 2)) (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 x (-.f64 -1 eps) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x) (*.f64 (fma.f64 x (-.f64 -1 eps) 1) (+.f64 1 (/.f64 -1 eps)))) (*.f64 (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x (-.f64 -1 eps) 1) (*.f64 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x) (*.f64 (fma.f64 x (-.f64 -1 eps) 1) (+.f64 1 (/.f64 -1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x) (*.f64 (fma.f64 x (-.f64 -1 eps) 1) (+.f64 1 (/.f64 -1 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x) (*.f64 (fma.f64 x (-.f64 -1 eps) 1) (+.f64 1 (/.f64 -1 eps))))) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x) (*.f64 (fma.f64 x (-.f64 -1 eps) 1) (+.f64 1 (/.f64 -1 eps))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x) (*.f64 (fma.f64 x (-.f64 -1 eps) 1) (+.f64 1 (/.f64 -1 eps))))) 2) (cbrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x) (*.f64 (fma.f64 x (-.f64 -1 eps) 1) (+.f64 1 (/.f64 -1 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x) (*.f64 (fma.f64 x (-.f64 -1 eps) 1) (+.f64 1 (/.f64 -1 eps))))) (sqrt.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x) (*.f64 (fma.f64 x (-.f64 -1 eps) 1) (+.f64 1 (/.f64 -1 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) 3) (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 x (-.f64 -1 eps) 1)) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) 2) (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 x (-.f64 -1 eps) 1)) (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x) (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 x (-.f64 -1 eps) 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 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(exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) 3) (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 x (-.f64 -1 eps) 1)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x) (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 x (-.f64 -1 eps) 1))) (-.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) 2) (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 x (-.f64 -1 eps) 1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) 3) (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 x (-.f64 -1 eps) 1)) 3)) (+.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) 2) (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 x (-.f64 -1 eps) 1)) (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) x) (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 x (-.f64 -1 eps) 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| 1× | egg-herbie |
| 655× | fma-def_binary64 |
| 576× | associate-+l+_binary64 |
| 441× | associate-*l*_binary64 |
| 425× | associate--r+_binary64 |
| 423× | associate-*r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 120 | 1606 |
| 1 | 424 | 1435 |
| 2 | 1568 | 1193 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) (+.f64 1 (*.f64 -1 x))) eps) |
(-.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x))) (+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (/.f64 x eps)))))) |
(-.f64 (+.f64 (*.f64 eps (-.f64 (+.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) x)) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x)))) (+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (/.f64 x eps)))))) |
(-.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 eps (-.f64 (+.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) x)) (+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))))) (*.f64 (exp.f64 (neg.f64 x)) x))))) (+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (/.f64 x eps)))))) |
(*.f64 -1 (*.f64 eps x)) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x))))) |
(-.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) eps) (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))) (+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (/.f64 x eps)))))) |
(-.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) eps) (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))) (+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (/.f64 x eps)))))) |
(*.f64 -1 (*.f64 eps x)) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x))))) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (*.f64 -1 (+.f64 1 (*.f64 -1 x)))) eps)) (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x))))) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (*.f64 -1 (+.f64 1 (*.f64 -1 x)))) eps)) (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x))))) |
2 |
(+.f64 2 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)))) x)) |
(+.f64 2 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)))) x) (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2)))))) |
(+.f64 2 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)))) x) (+.f64 (*.f64 1/6 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (-.f64 eps 1) 3) (pow.f64 x 3)))) (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))))))) |
(*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)) |
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x))) (+.f64 1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))) (/.f64 1 eps)) |
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x))) (+.f64 1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))) (/.f64 1 eps)) |
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x))) (+.f64 1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))) (/.f64 1 eps)) |
(*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)) (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))))) (/.f64 1 eps)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)) (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))))) (/.f64 1 eps)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)) (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))))) (/.f64 1 eps)) |
(/.f64 (+.f64 1 (*.f64 -1 x)) eps) |
(+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (/.f64 x eps))))) |
(+.f64 (/.f64 1 eps) (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (/.f64 x eps)))))) |
(+.f64 (/.f64 1 eps) (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (/.f64 x eps)))))) |
(*.f64 eps x) |
(+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x))))) |
(+.f64 (/.f64 1 eps) (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (/.f64 x eps)))))) |
(+.f64 (/.f64 1 eps) (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (/.f64 x eps)))))) |
(*.f64 eps x) |
(+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x))))) |
(+.f64 (/.f64 1 eps) (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (/.f64 x eps)))))) |
(+.f64 (/.f64 1 eps) (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (/.f64 x eps)))))) |
(-.f64 (/.f64 1 eps) 1) |
(-.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)))) 1) |
(-.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)))) 1) |
(-.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)))) 1) |
(*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x))) |
(-.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))) 1) |
(-.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))) 1) |
(-.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))) 1) |
(*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x))) |
(-.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))) 1) |
(-.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))) 1) |
(-.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))) 1) |
| Outputs |
|---|
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) (+.f64 1 (*.f64 -1 x))) eps) |
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) (+.f64 1 (neg.f64 x))) eps) |
(/.f64 (-.f64 (expm1.f64 (neg.f64 x)) (neg.f64 x)) eps) |
(/.f64 (+.f64 (expm1.f64 (neg.f64 x)) x) eps) |
(-.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x))) (+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (/.f64 x eps)))))) |
(-.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x))))) (/.f64 1 eps)) (fma.f64 -1 x (*.f64 -1 (+.f64 (+.f64 1 (neg.f64 x)) (/.f64 x eps))))) |
(-.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))) (+.f64 (-.f64 (/.f64 (neg.f64 x) eps) (-.f64 1 x)) (-.f64 (/.f64 1 eps) x))) |
(+.f64 (fma.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)) (/.f64 (expm1.f64 (neg.f64 x)) eps)) (+.f64 x (+.f64 1 (-.f64 (/.f64 x eps) x)))) |
(-.f64 (+.f64 (*.f64 eps (-.f64 (+.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) x)) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x)))) (+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (/.f64 x eps)))))) |
(-.f64 (fma.f64 eps (-.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)))) x) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x)))))) (+.f64 (/.f64 1 eps) (fma.f64 -1 x (*.f64 -1 (+.f64 (+.f64 1 (neg.f64 x)) (/.f64 x eps)))))) |
(+.f64 (fma.f64 eps (-.f64 (fma.f64 x (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) (/.f64 1/2 (exp.f64 x)))) x) (/.f64 (exp.f64 (neg.f64 x)) eps)) (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (+.f64 (-.f64 (/.f64 (neg.f64 x) eps) (-.f64 1 x)) (-.f64 (/.f64 1 eps) x)))) |
(+.f64 (fma.f64 eps (fma.f64 (*.f64 x x) (/.f64 1/2 (exp.f64 x)) (*.f64 x (expm1.f64 (neg.f64 x)))) (fma.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)) (/.f64 (expm1.f64 (neg.f64 x)) eps))) (+.f64 x (+.f64 1 (-.f64 (/.f64 x eps) x)))) |
(-.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 eps (-.f64 (+.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) x)) (+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))))) (*.f64 (exp.f64 (neg.f64 x)) x))))) (+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (/.f64 x eps)))))) |
(-.f64 (+.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (exp.f64 (neg.f64 x))) (fma.f64 eps (-.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)))) x) (fma.f64 (*.f64 eps eps) (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)))) (*.f64 x (exp.f64 (neg.f64 x)))))) (+.f64 (/.f64 1 eps) (fma.f64 -1 x (*.f64 -1 (+.f64 (+.f64 1 (neg.f64 x)) (/.f64 x eps)))))) |
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (-.f64 (+.f64 (fma.f64 eps (-.f64 (fma.f64 x (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) (/.f64 1/2 (exp.f64 x)))) x) (*.f64 (*.f64 eps eps) (fma.f64 (/.f64 1/6 (exp.f64 x)) (pow.f64 x 3) (*.f64 (*.f64 x x) (/.f64 1/2 (exp.f64 x)))))) (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))) (+.f64 (-.f64 (/.f64 (neg.f64 x) eps) (-.f64 1 x)) (-.f64 (/.f64 1 eps) x)))) |
(+.f64 (+.f64 (*.f64 eps (+.f64 (fma.f64 (*.f64 x x) (/.f64 1/2 (exp.f64 x)) (*.f64 x (expm1.f64 (neg.f64 x)))) (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 1/6 (pow.f64 x 3))))))) (fma.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)) (/.f64 (expm1.f64 (neg.f64 x)) eps))) (+.f64 x (+.f64 1 (-.f64 (/.f64 x eps) x)))) |
(*.f64 -1 (*.f64 eps x)) |
(*.f64 (neg.f64 eps) x) |
(*.f64 (neg.f64 x) eps) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x))))) |
(-.f64 (fma.f64 -1 (*.f64 x eps) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (fma.f64 -1 x (neg.f64 (+.f64 1 (neg.f64 x))))) |
(-.f64 (-.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (*.f64 x eps)) (-.f64 (neg.f64 x) (-.f64 1 x))) |
(+.f64 (-.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (+.f64 (fma.f64 x eps x) -1)) x) |
(-.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) eps) (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))) (+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (/.f64 x eps)))))) |
(+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) eps) (-.f64 (fma.f64 -1 (*.f64 x eps) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (+.f64 (/.f64 1 eps) (fma.f64 -1 x (*.f64 -1 (+.f64 (+.f64 1 (neg.f64 x)) (/.f64 x eps))))))) |
(+.f64 (-.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (*.f64 x eps)) (-.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) eps) (+.f64 (-.f64 (/.f64 (neg.f64 x) eps) (-.f64 1 x)) (-.f64 (/.f64 1 eps) x)))) |
(+.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (+.f64 1 (/.f64 1 eps))) (-.f64 0 (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 (*.f64 x (-.f64 -1 eps)) 1)))) |
(-.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) eps) (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))) (+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (/.f64 x eps)))))) |
(+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) eps) (-.f64 (fma.f64 -1 (*.f64 x eps) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (+.f64 (/.f64 1 eps) (fma.f64 -1 x (*.f64 -1 (+.f64 (+.f64 1 (neg.f64 x)) (/.f64 x eps))))))) |
(+.f64 (-.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (*.f64 x eps)) (-.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) eps) (+.f64 (-.f64 (/.f64 (neg.f64 x) eps) (-.f64 1 x)) (-.f64 (/.f64 1 eps) x)))) |
(+.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (+.f64 1 (/.f64 1 eps))) (-.f64 0 (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 (*.f64 x (-.f64 -1 eps)) 1)))) |
(*.f64 -1 (*.f64 eps x)) |
(*.f64 (neg.f64 eps) x) |
(*.f64 (neg.f64 x) eps) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x))))) |
(-.f64 (fma.f64 -1 (*.f64 x eps) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (fma.f64 -1 x (neg.f64 (+.f64 1 (neg.f64 x))))) |
(-.f64 (-.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (*.f64 x eps)) (-.f64 (neg.f64 x) (-.f64 1 x))) |
(+.f64 (-.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (+.f64 (fma.f64 x eps x) -1)) x) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (*.f64 -1 (+.f64 1 (*.f64 -1 x)))) eps)) (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x))))) |
(-.f64 (fma.f64 -1 (*.f64 x eps) (fma.f64 -1 (/.f64 (*.f64 -1 (-.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (+.f64 1 (neg.f64 x)))) eps) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))) (fma.f64 -1 x (neg.f64 (+.f64 1 (neg.f64 x))))) |
(+.f64 (-.f64 (-.f64 (-.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (/.f64 (+.f64 (-.f64 1 x) (/.f64 -1 (pow.f64 (exp.f64 x) (-.f64 1 eps)))) eps)) (*.f64 x eps)) (neg.f64 x)) (-.f64 1 x)) |
(+.f64 (/.f64 (+.f64 (expm1.f64 (-.f64 (*.f64 x eps) x)) x) eps) (+.f64 (-.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (+.f64 (fma.f64 x eps x) -1)) x)) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (*.f64 -1 (+.f64 1 (*.f64 -1 x)))) eps)) (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x))))) |
(-.f64 (fma.f64 -1 (*.f64 x eps) (fma.f64 -1 (/.f64 (*.f64 -1 (-.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (+.f64 1 (neg.f64 x)))) eps) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))) (fma.f64 -1 x (neg.f64 (+.f64 1 (neg.f64 x))))) |
(+.f64 (-.f64 (-.f64 (-.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (/.f64 (+.f64 (-.f64 1 x) (/.f64 -1 (pow.f64 (exp.f64 x) (-.f64 1 eps)))) eps)) (*.f64 x eps)) (neg.f64 x)) (-.f64 1 x)) |
(+.f64 (/.f64 (+.f64 (expm1.f64 (-.f64 (*.f64 x eps) x)) x) eps) (+.f64 (-.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (+.f64 (fma.f64 x eps x) -1)) x)) |
2 |
(+.f64 2 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)))) x)) |
(+.f64 2 (*.f64 x (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 eps 1)) (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps)))))) |
(fma.f64 x (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 -1 eps) (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 1 eps))) 2) |
(fma.f64 x (fma.f64 (/.f64 (+.f64 -1 eps) eps) (-.f64 -1 eps) (+.f64 (+.f64 -1 eps) (/.f64 (+.f64 -1 eps) eps))) 2) |
(+.f64 2 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)))) x) (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2)))))) |
(+.f64 2 (fma.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 eps 1)) (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps)))) x (*.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 eps))) (*.f64 (*.f64 x x) (pow.f64 (-.f64 eps 1) 2))))) |
(+.f64 2 (fma.f64 x (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 -1 eps) (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 1 eps))) (*.f64 (*.f64 x (*.f64 x (pow.f64 (+.f64 -1 eps) 2))) (+.f64 1/2 (*.f64 (/.f64 1 eps) 1/2))))) |
(fma.f64 x (fma.f64 (/.f64 (+.f64 -1 eps) eps) (-.f64 -1 eps) (+.f64 (+.f64 -1 eps) (/.f64 (+.f64 -1 eps) eps))) (fma.f64 (*.f64 x (*.f64 x (pow.f64 (+.f64 -1 eps) 2))) (+.f64 1/2 (/.f64 1/2 eps)) 2)) |
(+.f64 2 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)))) x) (+.f64 (*.f64 1/6 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (-.f64 eps 1) 3) (pow.f64 x 3)))) (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))))))) |
(+.f64 2 (fma.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 eps 1)) (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 eps)))) x (fma.f64 1/6 (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 eps 1) 3))) (*.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 eps))) (*.f64 (*.f64 x x) (pow.f64 (-.f64 eps 1) 2)))))) |
(+.f64 (fma.f64 x (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 -1 eps) (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 1 eps))) 2) (fma.f64 1/2 (*.f64 (*.f64 x x) (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 -1 eps) 2))) (*.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 -1 eps) 3)) (+.f64 1/6 (*.f64 (/.f64 1 eps) 1/6))))) |
(+.f64 2 (fma.f64 (*.f64 x (*.f64 x (pow.f64 (+.f64 -1 eps) 2))) (+.f64 1/2 (/.f64 1/2 eps)) (fma.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 -1 eps) 3)) (+.f64 1/6 (/.f64 1/6 eps)) (+.f64 (*.f64 (+.f64 1 eps) (-.f64 (/.f64 x eps) x)) (*.f64 (+.f64 1 eps) (-.f64 x (/.f64 x eps))))))) |
(*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)) |
(*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 x (+.f64 1 eps))) |
(*.f64 (+.f64 -1 (/.f64 1 eps)) (*.f64 x (+.f64 1 eps))) |
(*.f64 (+.f64 1 eps) (-.f64 (/.f64 x eps) x)) |
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x))) (+.f64 1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))) (/.f64 1 eps)) |
(-.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 x (+.f64 1 eps))))) (/.f64 1 eps)) |
(fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 x (+.f64 -1 eps))) (+.f64 (fma.f64 (+.f64 -1 (/.f64 1 eps)) (*.f64 x (+.f64 1 eps)) 1) (/.f64 -1 eps))) |
(fma.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 1 eps) (-.f64 (/.f64 x eps) x) (/.f64 (+.f64 -1 eps) eps))) |
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x))) (+.f64 1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))) (/.f64 1 eps)) |
(-.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 x (+.f64 1 eps))))) (/.f64 1 eps)) |
(fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 x (+.f64 -1 eps))) (+.f64 (fma.f64 (+.f64 -1 (/.f64 1 eps)) (*.f64 x (+.f64 1 eps)) 1) (/.f64 -1 eps))) |
(fma.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 1 eps) (-.f64 (/.f64 x eps) x) (/.f64 (+.f64 -1 eps) eps))) |
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x))) (+.f64 1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))) (/.f64 1 eps)) |
(-.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 x (+.f64 1 eps))))) (/.f64 1 eps)) |
(fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 x (+.f64 -1 eps))) (+.f64 (fma.f64 (+.f64 -1 (/.f64 1 eps)) (*.f64 x (+.f64 1 eps)) 1) (/.f64 -1 eps))) |
(fma.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 1 eps) (-.f64 (/.f64 x eps) x) (/.f64 (+.f64 -1 eps) eps))) |
(*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)) |
(*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 x (+.f64 1 eps))) |
(*.f64 (+.f64 -1 (/.f64 1 eps)) (*.f64 x (+.f64 1 eps))) |
(*.f64 (+.f64 1 eps) (-.f64 (/.f64 x eps) x)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)) (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))))) (/.f64 1 eps)) |
(-.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 x (+.f64 1 eps))))) (/.f64 1 eps)) |
(fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 x (+.f64 -1 eps))) (+.f64 (fma.f64 (+.f64 -1 (/.f64 1 eps)) (*.f64 x (+.f64 1 eps)) 1) (/.f64 -1 eps))) |
(fma.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 1 eps) (-.f64 (/.f64 x eps) x) (/.f64 (+.f64 -1 eps) eps))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)) (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))))) (/.f64 1 eps)) |
(-.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 x (+.f64 1 eps))))) (/.f64 1 eps)) |
(fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 x (+.f64 -1 eps))) (+.f64 (fma.f64 (+.f64 -1 (/.f64 1 eps)) (*.f64 x (+.f64 1 eps)) 1) (/.f64 -1 eps))) |
(fma.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 1 eps) (-.f64 (/.f64 x eps) x) (/.f64 (+.f64 -1 eps) eps))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)) (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))))) (/.f64 1 eps)) |
(-.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 x (+.f64 1 eps))))) (/.f64 1 eps)) |
(fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 x (+.f64 -1 eps))) (+.f64 (fma.f64 (+.f64 -1 (/.f64 1 eps)) (*.f64 x (+.f64 1 eps)) 1) (/.f64 -1 eps))) |
(fma.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (+.f64 1 (/.f64 1 eps)) (fma.f64 (+.f64 1 eps) (-.f64 (/.f64 x eps) x) (/.f64 (+.f64 -1 eps) eps))) |
(/.f64 (+.f64 1 (*.f64 -1 x)) eps) |
(/.f64 (+.f64 1 (neg.f64 x)) eps) |
(/.f64 (-.f64 1 x) eps) |
(+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (/.f64 x eps))))) |
(+.f64 (/.f64 1 eps) (fma.f64 -1 x (*.f64 -1 (+.f64 (+.f64 1 (neg.f64 x)) (/.f64 x eps))))) |
(+.f64 (-.f64 (/.f64 (neg.f64 x) eps) (-.f64 1 x)) (-.f64 (/.f64 1 eps) x)) |
(+.f64 (/.f64 1 eps) (+.f64 -1 (-.f64 (-.f64 x x) (/.f64 x eps)))) |
(+.f64 (/.f64 1 eps) (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (/.f64 x eps)))))) |
(+.f64 (/.f64 1 eps) (fma.f64 eps x (fma.f64 -1 x (*.f64 -1 (+.f64 (+.f64 1 (neg.f64 x)) (/.f64 x eps)))))) |
(+.f64 (/.f64 1 eps) (fma.f64 x eps (-.f64 (-.f64 (/.f64 (neg.f64 x) eps) (-.f64 1 x)) x))) |
(*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 (*.f64 x (-.f64 -1 eps)) 1)) |
(+.f64 (/.f64 1 eps) (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (/.f64 x eps)))))) |
(+.f64 (/.f64 1 eps) (fma.f64 eps x (fma.f64 -1 x (*.f64 -1 (+.f64 (+.f64 1 (neg.f64 x)) (/.f64 x eps)))))) |
(+.f64 (/.f64 1 eps) (fma.f64 x eps (-.f64 (-.f64 (/.f64 (neg.f64 x) eps) (-.f64 1 x)) x))) |
(*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 (*.f64 x (-.f64 -1 eps)) 1)) |
(*.f64 eps x) |
(*.f64 x eps) |
(+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x))))) |
(fma.f64 eps x (fma.f64 -1 x (neg.f64 (+.f64 1 (neg.f64 x))))) |
(-.f64 (*.f64 x (+.f64 -1 eps)) (-.f64 1 x)) |
(-.f64 (+.f64 -1 (fma.f64 x eps x)) x) |
(+.f64 (/.f64 1 eps) (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (/.f64 x eps)))))) |
(+.f64 (/.f64 1 eps) (fma.f64 eps x (fma.f64 -1 x (*.f64 -1 (+.f64 (+.f64 1 (neg.f64 x)) (/.f64 x eps)))))) |
(+.f64 (/.f64 1 eps) (fma.f64 x eps (-.f64 (-.f64 (/.f64 (neg.f64 x) eps) (-.f64 1 x)) x))) |
(*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 (*.f64 x (-.f64 -1 eps)) 1)) |
(+.f64 (/.f64 1 eps) (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (/.f64 x eps)))))) |
(+.f64 (/.f64 1 eps) (fma.f64 eps x (fma.f64 -1 x (*.f64 -1 (+.f64 (+.f64 1 (neg.f64 x)) (/.f64 x eps)))))) |
(+.f64 (/.f64 1 eps) (fma.f64 x eps (-.f64 (-.f64 (/.f64 (neg.f64 x) eps) (-.f64 1 x)) x))) |
(*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 (*.f64 x (-.f64 -1 eps)) 1)) |
(*.f64 eps x) |
(*.f64 x eps) |
(+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x))))) |
(fma.f64 eps x (fma.f64 -1 x (neg.f64 (+.f64 1 (neg.f64 x))))) |
(-.f64 (*.f64 x (+.f64 -1 eps)) (-.f64 1 x)) |
(-.f64 (+.f64 -1 (fma.f64 x eps x)) x) |
(+.f64 (/.f64 1 eps) (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (/.f64 x eps)))))) |
(+.f64 (/.f64 1 eps) (fma.f64 eps x (fma.f64 -1 x (*.f64 -1 (+.f64 (+.f64 1 (neg.f64 x)) (/.f64 x eps)))))) |
(+.f64 (/.f64 1 eps) (fma.f64 x eps (-.f64 (-.f64 (/.f64 (neg.f64 x) eps) (-.f64 1 x)) x))) |
(*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 (*.f64 x (-.f64 -1 eps)) 1)) |
(+.f64 (/.f64 1 eps) (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (/.f64 x eps)))))) |
(+.f64 (/.f64 1 eps) (fma.f64 eps x (fma.f64 -1 x (*.f64 -1 (+.f64 (+.f64 1 (neg.f64 x)) (/.f64 x eps)))))) |
(+.f64 (/.f64 1 eps) (fma.f64 x eps (-.f64 (-.f64 (/.f64 (neg.f64 x) eps) (-.f64 1 x)) x))) |
(*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 (*.f64 x (-.f64 -1 eps)) 1)) |
(-.f64 (/.f64 1 eps) 1) |
(+.f64 (/.f64 1 eps) -1) |
(+.f64 -1 (/.f64 1 eps)) |
(-.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)))) 1) |
(+.f64 (/.f64 1 eps) (fma.f64 eps x (fma.f64 -1 x (*.f64 -1 (+.f64 (+.f64 1 (neg.f64 x)) (/.f64 x eps)))))) |
(+.f64 (/.f64 1 eps) (fma.f64 x eps (-.f64 (-.f64 (/.f64 (neg.f64 x) eps) (-.f64 1 x)) x))) |
(*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 (*.f64 x (-.f64 -1 eps)) 1)) |
(-.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)))) 1) |
(+.f64 (/.f64 1 eps) (fma.f64 eps x (fma.f64 -1 x (*.f64 -1 (+.f64 (+.f64 1 (neg.f64 x)) (/.f64 x eps)))))) |
(+.f64 (/.f64 1 eps) (fma.f64 x eps (-.f64 (-.f64 (/.f64 (neg.f64 x) eps) (-.f64 1 x)) x))) |
(*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 (*.f64 x (-.f64 -1 eps)) 1)) |
(-.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)))) 1) |
(+.f64 (/.f64 1 eps) (fma.f64 eps x (fma.f64 -1 x (*.f64 -1 (+.f64 (+.f64 1 (neg.f64 x)) (/.f64 x eps)))))) |
(+.f64 (/.f64 1 eps) (fma.f64 x eps (-.f64 (-.f64 (/.f64 (neg.f64 x) eps) (-.f64 1 x)) x))) |
(*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 (*.f64 x (-.f64 -1 eps)) 1)) |
(*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x))) |
(neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 x (+.f64 1 eps)))) |
(*.f64 (*.f64 (+.f64 1 eps) (+.f64 (/.f64 -1 eps) 1)) x) |
(*.f64 (+.f64 1 eps) (-.f64 x (/.f64 x eps))) |
(-.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))) 1) |
(+.f64 (/.f64 1 eps) (fma.f64 eps x (fma.f64 -1 x (*.f64 -1 (+.f64 (+.f64 1 (neg.f64 x)) (/.f64 x eps)))))) |
(+.f64 (/.f64 1 eps) (fma.f64 x eps (-.f64 (-.f64 (/.f64 (neg.f64 x) eps) (-.f64 1 x)) x))) |
(*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 (*.f64 x (-.f64 -1 eps)) 1)) |
(-.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))) 1) |
(+.f64 (/.f64 1 eps) (fma.f64 eps x (fma.f64 -1 x (*.f64 -1 (+.f64 (+.f64 1 (neg.f64 x)) (/.f64 x eps)))))) |
(+.f64 (/.f64 1 eps) (fma.f64 x eps (-.f64 (-.f64 (/.f64 (neg.f64 x) eps) (-.f64 1 x)) x))) |
(*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 (*.f64 x (-.f64 -1 eps)) 1)) |
(-.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))) 1) |
(+.f64 (/.f64 1 eps) (fma.f64 eps x (fma.f64 -1 x (*.f64 -1 (+.f64 (+.f64 1 (neg.f64 x)) (/.f64 x eps)))))) |
(+.f64 (/.f64 1 eps) (fma.f64 x eps (-.f64 (-.f64 (/.f64 (neg.f64 x) eps) (-.f64 1 x)) x))) |
(*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 (*.f64 x (-.f64 -1 eps)) 1)) |
(*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x))) |
(neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 x (+.f64 1 eps)))) |
(*.f64 (*.f64 (+.f64 1 eps) (+.f64 (/.f64 -1 eps) 1)) x) |
(*.f64 (+.f64 1 eps) (-.f64 x (/.f64 x eps))) |
(-.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))) 1) |
(+.f64 (/.f64 1 eps) (fma.f64 eps x (fma.f64 -1 x (*.f64 -1 (+.f64 (+.f64 1 (neg.f64 x)) (/.f64 x eps)))))) |
(+.f64 (/.f64 1 eps) (fma.f64 x eps (-.f64 (-.f64 (/.f64 (neg.f64 x) eps) (-.f64 1 x)) x))) |
(*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 (*.f64 x (-.f64 -1 eps)) 1)) |
(-.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))) 1) |
(+.f64 (/.f64 1 eps) (fma.f64 eps x (fma.f64 -1 x (*.f64 -1 (+.f64 (+.f64 1 (neg.f64 x)) (/.f64 x eps)))))) |
(+.f64 (/.f64 1 eps) (fma.f64 x eps (-.f64 (-.f64 (/.f64 (neg.f64 x) eps) (-.f64 1 x)) x))) |
(*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 (*.f64 x (-.f64 -1 eps)) 1)) |
(-.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))) 1) |
(+.f64 (/.f64 1 eps) (fma.f64 eps x (fma.f64 -1 x (*.f64 -1 (+.f64 (+.f64 1 (neg.f64 x)) (/.f64 x eps)))))) |
(+.f64 (/.f64 1 eps) (fma.f64 x eps (-.f64 (-.f64 (/.f64 (neg.f64 x) eps) (-.f64 1 x)) x))) |
(*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 (*.f64 x (-.f64 -1 eps)) 1)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (+.f64 eps 1) x) |
| ✓ | 0.0b | (*.f64 (-.f64 1 eps) x) |
| ✓ | 0.0b | (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))) |
| 0.0b | (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) |
Compiled 94 to 68 computations (27.7% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | 0 | (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))) |
| 1.0ms | eps | @ | 0 | (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))) |
| 1.0ms | x | @ | inf | (*.f64 (-.f64 1 eps) x) |
| 1.0ms | x | @ | inf | (*.f64 (+.f64 eps 1) x) |
| 1.0ms | x | @ | -inf | (*.f64 (+.f64 eps 1) x) |
| 1× | batch-egg-rewrite |
| 492× | log-prod_binary64 |
| 366× | exp-prod_binary64 |
| 318× | pow-prod-down_binary64 |
| 251× | fma-def_binary64 |
| 246× | pow2_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 25 |
| 1 | 213 | 23 |
| 2 | 2845 | 9 |
| 1× | node limit |
| Inputs |
|---|
(exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))) |
(*.f64 (-.f64 1 eps) x) |
(*.f64 (+.f64 eps 1) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x . 1))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (neg.f64 eps) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (-.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 1 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 eps 3)) x) (+.f64 1 (fma.f64 eps eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) (+.f64 eps 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (pow.f64 eps 3))) (+.f64 1 (fma.f64 eps eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (+.f64 eps 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (-.f64 1 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 x (-.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (-.f64 1 eps)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (-.f64 1 eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (-.f64 1 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (-.f64 1 eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1 eps)))) 2)) (cbrt.f64 (log.f64 (*.f64 x (-.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (-.f64 1 eps))))) (sqrt.f64 (log.f64 (*.f64 x (-.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (-.f64 1 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (-.f64 1 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (-.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (-.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (-.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 1 eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (-.f64 1 eps)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (-.f64 1 eps)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (-.f64 1 eps)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (-.f64 1 eps))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 (neg.f64 eps) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 x (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 (neg.f64 eps) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 x (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (neg.f64 eps) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 x (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (neg.f64 eps) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 eps) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (neg.f64 eps))))))) |
((#(struct:change #<rule egg-rr> (2) ((x . 0))))) |
| 1× | egg-herbie |
| 644× | distribute-rgt-in_binary64 |
| 612× | distribute-lft-in_binary64 |
| 510× | fma-neg_binary64 |
| 403× | associate-*l*_binary64 |
| 363× | associate-*r*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 536 |
| 1 | 183 | 458 |
| 2 | 590 | 450 |
| 3 | 3032 | 437 |
| 1× | node limit |
| Inputs |
|---|
(exp.f64 (neg.f64 x)) |
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) x))) (exp.f64 (neg.f64 x))) |
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) x))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (exp.f64 (neg.f64 x)))) |
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) x))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (exp.f64 (neg.f64 x))))) |
(exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))) |
(exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))) |
(exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))) |
(exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))) |
1 |
(+.f64 1 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) |
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 x 2))) (+.f64 1 (*.f64 -1 (*.f64 (+.f64 1 eps) x)))) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (+.f64 1 eps) 3) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 x 2))) (+.f64 1 (*.f64 -1 (*.f64 (+.f64 1 eps) x))))) |
(exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))) |
(exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))) |
(exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))) |
(exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))) |
(exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))) |
(exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))) |
(exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))) |
(exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))) |
x |
(+.f64 (*.f64 -1 (*.f64 eps x)) x) |
(+.f64 (*.f64 -1 (*.f64 eps x)) x) |
(+.f64 (*.f64 -1 (*.f64 eps x)) x) |
(*.f64 -1 (*.f64 eps x)) |
(+.f64 (*.f64 -1 (*.f64 eps x)) x) |
(+.f64 (*.f64 -1 (*.f64 eps x)) x) |
(+.f64 (*.f64 -1 (*.f64 eps x)) x) |
(*.f64 -1 (*.f64 eps x)) |
(+.f64 (*.f64 -1 (*.f64 eps x)) x) |
(+.f64 (*.f64 -1 (*.f64 eps x)) x) |
(+.f64 (*.f64 -1 (*.f64 eps x)) x) |
x |
(+.f64 (*.f64 eps x) x) |
(+.f64 (*.f64 eps x) x) |
(+.f64 (*.f64 eps x) x) |
(*.f64 eps x) |
(+.f64 (*.f64 eps x) x) |
(+.f64 (*.f64 eps x) x) |
(+.f64 (*.f64 eps x) x) |
(*.f64 eps x) |
(+.f64 (*.f64 eps x) x) |
(+.f64 (*.f64 eps x) x) |
(+.f64 (*.f64 eps x) x) |
(*.f64 (+.f64 1 eps) x) |
(*.f64 (+.f64 1 eps) x) |
(*.f64 (+.f64 1 eps) x) |
(*.f64 (+.f64 1 eps) x) |
(*.f64 (+.f64 1 eps) x) |
(*.f64 (+.f64 1 eps) x) |
(*.f64 (+.f64 1 eps) x) |
(*.f64 (+.f64 1 eps) x) |
| Outputs |
|---|
(exp.f64 (neg.f64 x)) |
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) x))) (exp.f64 (neg.f64 x))) |
(fma.f64 -1 (*.f64 eps (*.f64 x (exp.f64 (neg.f64 x)))) (exp.f64 (neg.f64 x))) |
(-.f64 (exp.f64 (neg.f64 x)) (*.f64 x (/.f64 eps (exp.f64 x)))) |
(*.f64 (-.f64 1 (*.f64 x eps)) (exp.f64 (neg.f64 x))) |
(*.f64 (exp.f64 (neg.f64 x)) (-.f64 1 (*.f64 x eps))) |
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) x))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (exp.f64 (neg.f64 x)))) |
(fma.f64 -1 (*.f64 eps (*.f64 x (exp.f64 (neg.f64 x)))) (fma.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x))) (exp.f64 (neg.f64 x)))) |
(-.f64 (fma.f64 1/2 (*.f64 (*.f64 x x) (*.f64 eps (/.f64 eps (exp.f64 x)))) (exp.f64 (neg.f64 x))) (*.f64 x (/.f64 eps (exp.f64 x)))) |
(fma.f64 1/2 (/.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (exp.f64 x)) (*.f64 (-.f64 1 (*.f64 x eps)) (exp.f64 (neg.f64 x)))) |
(+.f64 (exp.f64 (neg.f64 x)) (*.f64 (/.f64 x (exp.f64 x)) (-.f64 (*.f64 (*.f64 1/2 (*.f64 eps eps)) x) eps))) |
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) x))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (exp.f64 (neg.f64 x))))) |
(fma.f64 -1 (*.f64 eps (*.f64 x (exp.f64 (neg.f64 x)))) (fma.f64 -1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))) (fma.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x))) (exp.f64 (neg.f64 x))))) |
(-.f64 (fma.f64 -1/6 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 3) (pow.f64 eps 3))) (fma.f64 1/2 (*.f64 (*.f64 x x) (*.f64 eps (/.f64 eps (exp.f64 x)))) (exp.f64 (neg.f64 x)))) (*.f64 x (/.f64 eps (exp.f64 x)))) |
(fma.f64 -1/6 (*.f64 (pow.f64 eps 3) (/.f64 (pow.f64 x 3) (exp.f64 x))) (fma.f64 1/2 (/.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (exp.f64 x)) (*.f64 (-.f64 1 (*.f64 x eps)) (exp.f64 (neg.f64 x))))) |
(+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 1/2 (*.f64 eps eps)) (*.f64 (*.f64 -1/6 (pow.f64 eps 3)) x))) (*.f64 x eps)))) |
(exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))) |
(exp.f64 (*.f64 (-.f64 1 (neg.f64 eps)) (neg.f64 x))) |
(exp.f64 (neg.f64 (fma.f64 x eps x))) |
(pow.f64 (exp.f64 x) (-.f64 -1 eps)) |
(exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))) |
(exp.f64 (*.f64 (-.f64 1 (neg.f64 eps)) (neg.f64 x))) |
(exp.f64 (neg.f64 (fma.f64 x eps x))) |
(pow.f64 (exp.f64 x) (-.f64 -1 eps)) |
(exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))) |
(exp.f64 (*.f64 (-.f64 1 (neg.f64 eps)) (neg.f64 x))) |
(exp.f64 (neg.f64 (fma.f64 x eps x))) |
(pow.f64 (exp.f64 x) (-.f64 -1 eps)) |
(exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))) |
(exp.f64 (*.f64 (-.f64 1 (neg.f64 eps)) (neg.f64 x))) |
(exp.f64 (neg.f64 (fma.f64 x eps x))) |
(pow.f64 (exp.f64 x) (-.f64 -1 eps)) |
1 |
(+.f64 1 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) |
(+.f64 1 (neg.f64 (fma.f64 eps x x))) |
(-.f64 1 (fma.f64 x eps x)) |
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 x 2))) (+.f64 1 (*.f64 -1 (*.f64 (+.f64 1 eps) x)))) |
(fma.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (+.f64 eps 1) 2)) (+.f64 1 (neg.f64 (fma.f64 eps x x)))) |
(fma.f64 1/2 (*.f64 (fma.f64 x eps x) (fma.f64 x eps x)) (-.f64 1 (fma.f64 x eps x))) |
(+.f64 1 (*.f64 (fma.f64 x eps x) (+.f64 (*.f64 1/2 (fma.f64 x eps x)) -1))) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (+.f64 1 eps) 3) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 x 2))) (+.f64 1 (*.f64 -1 (*.f64 (+.f64 1 eps) x))))) |
(fma.f64 -1/6 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps 1) 3)) (fma.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (+.f64 eps 1) 2)) (+.f64 1 (neg.f64 (fma.f64 eps x x))))) |
(fma.f64 -1/6 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps 1) 3)) (fma.f64 1/2 (*.f64 (fma.f64 x eps x) (fma.f64 x eps x)) (-.f64 1 (fma.f64 x eps x)))) |
(fma.f64 1/2 (*.f64 (fma.f64 x eps x) (fma.f64 x eps x)) (fma.f64 -1/6 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps 1) 3)) (-.f64 1 (fma.f64 x eps x)))) |
(fma.f64 -1/6 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps 1) 3)) (+.f64 1 (*.f64 (fma.f64 x eps x) (+.f64 (*.f64 1/2 (fma.f64 x eps x)) -1)))) |
(exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))) |
(exp.f64 (*.f64 (-.f64 1 (neg.f64 eps)) (neg.f64 x))) |
(exp.f64 (neg.f64 (fma.f64 x eps x))) |
(pow.f64 (exp.f64 x) (-.f64 -1 eps)) |
(exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))) |
(exp.f64 (*.f64 (-.f64 1 (neg.f64 eps)) (neg.f64 x))) |
(exp.f64 (neg.f64 (fma.f64 x eps x))) |
(pow.f64 (exp.f64 x) (-.f64 -1 eps)) |
(exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))) |
(exp.f64 (*.f64 (-.f64 1 (neg.f64 eps)) (neg.f64 x))) |
(exp.f64 (neg.f64 (fma.f64 x eps x))) |
(pow.f64 (exp.f64 x) (-.f64 -1 eps)) |
(exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))) |
(exp.f64 (*.f64 (-.f64 1 (neg.f64 eps)) (neg.f64 x))) |
(exp.f64 (neg.f64 (fma.f64 x eps x))) |
(pow.f64 (exp.f64 x) (-.f64 -1 eps)) |
(exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))) |
(exp.f64 (*.f64 (-.f64 1 (neg.f64 eps)) (neg.f64 x))) |
(exp.f64 (neg.f64 (fma.f64 x eps x))) |
(pow.f64 (exp.f64 x) (-.f64 -1 eps)) |
(exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))) |
(exp.f64 (*.f64 (-.f64 1 (neg.f64 eps)) (neg.f64 x))) |
(exp.f64 (neg.f64 (fma.f64 x eps x))) |
(pow.f64 (exp.f64 x) (-.f64 -1 eps)) |
(exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))) |
(exp.f64 (*.f64 (-.f64 1 (neg.f64 eps)) (neg.f64 x))) |
(exp.f64 (neg.f64 (fma.f64 x eps x))) |
(pow.f64 (exp.f64 x) (-.f64 -1 eps)) |
(exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))) |
(exp.f64 (*.f64 (-.f64 1 (neg.f64 eps)) (neg.f64 x))) |
(exp.f64 (neg.f64 (fma.f64 x eps x))) |
(pow.f64 (exp.f64 x) (-.f64 -1 eps)) |
x |
(+.f64 (*.f64 -1 (*.f64 eps x)) x) |
(fma.f64 -1 (*.f64 x eps) x) |
(-.f64 x (*.f64 x eps)) |
(+.f64 (*.f64 -1 (*.f64 eps x)) x) |
(fma.f64 -1 (*.f64 x eps) x) |
(-.f64 x (*.f64 x eps)) |
(+.f64 (*.f64 -1 (*.f64 eps x)) x) |
(fma.f64 -1 (*.f64 x eps) x) |
(-.f64 x (*.f64 x eps)) |
(*.f64 -1 (*.f64 eps x)) |
(*.f64 (neg.f64 eps) x) |
(*.f64 (neg.f64 x) eps) |
(*.f64 x (neg.f64 eps)) |
(+.f64 (*.f64 -1 (*.f64 eps x)) x) |
(fma.f64 -1 (*.f64 x eps) x) |
(-.f64 x (*.f64 x eps)) |
(+.f64 (*.f64 -1 (*.f64 eps x)) x) |
(fma.f64 -1 (*.f64 x eps) x) |
(-.f64 x (*.f64 x eps)) |
(+.f64 (*.f64 -1 (*.f64 eps x)) x) |
(fma.f64 -1 (*.f64 x eps) x) |
(-.f64 x (*.f64 x eps)) |
(*.f64 -1 (*.f64 eps x)) |
(*.f64 (neg.f64 eps) x) |
(*.f64 (neg.f64 x) eps) |
(*.f64 x (neg.f64 eps)) |
(+.f64 (*.f64 -1 (*.f64 eps x)) x) |
(fma.f64 -1 (*.f64 x eps) x) |
(-.f64 x (*.f64 x eps)) |
(+.f64 (*.f64 -1 (*.f64 eps x)) x) |
(fma.f64 -1 (*.f64 x eps) x) |
(-.f64 x (*.f64 x eps)) |
(+.f64 (*.f64 -1 (*.f64 eps x)) x) |
(fma.f64 -1 (*.f64 x eps) x) |
(-.f64 x (*.f64 x eps)) |
x |
(+.f64 (*.f64 eps x) x) |
(fma.f64 eps x x) |
(fma.f64 x eps x) |
(+.f64 (*.f64 eps x) x) |
(fma.f64 eps x x) |
(fma.f64 x eps x) |
(+.f64 (*.f64 eps x) x) |
(fma.f64 eps x x) |
(fma.f64 x eps x) |
(*.f64 eps x) |
(*.f64 x eps) |
(+.f64 (*.f64 eps x) x) |
(fma.f64 eps x x) |
(fma.f64 x eps x) |
(+.f64 (*.f64 eps x) x) |
(fma.f64 eps x x) |
(fma.f64 x eps x) |
(+.f64 (*.f64 eps x) x) |
(fma.f64 eps x x) |
(fma.f64 x eps x) |
(*.f64 eps x) |
(*.f64 x eps) |
(+.f64 (*.f64 eps x) x) |
(fma.f64 eps x x) |
(fma.f64 x eps x) |
(+.f64 (*.f64 eps x) x) |
(fma.f64 eps x x) |
(fma.f64 x eps x) |
(+.f64 (*.f64 eps x) x) |
(fma.f64 eps x x) |
(fma.f64 x eps x) |
(*.f64 (+.f64 1 eps) x) |
(fma.f64 eps x x) |
(fma.f64 x eps x) |
(*.f64 (+.f64 1 eps) x) |
(fma.f64 eps x x) |
(fma.f64 x eps x) |
(*.f64 (+.f64 1 eps) x) |
(fma.f64 eps x x) |
(fma.f64 x eps x) |
(*.f64 (+.f64 1 eps) x) |
(fma.f64 eps x x) |
(fma.f64 x eps x) |
(*.f64 (+.f64 1 eps) x) |
(fma.f64 eps x x) |
(fma.f64 x eps x) |
(*.f64 (+.f64 1 eps) x) |
(fma.f64 eps x x) |
(fma.f64 x eps x) |
(*.f64 (+.f64 1 eps) x) |
(fma.f64 eps x x) |
(fma.f64 x eps x) |
(*.f64 (+.f64 1 eps) x) |
(fma.f64 eps x x) |
(fma.f64 x eps x) |
Compiled 13553 to 10054 computations (25.8% saved)
17 alts after pruning (15 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 419 | 12 | 431 |
| Fresh | 2 | 3 | 5 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 2 | 4 |
| Total | 424 | 17 | 441 |
| Status | Error | Program |
|---|---|---|
| ✓ | 43.6b | (*.f64 1/2 0) |
| 27.1b | (/.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2) | |
| 10.7b | (/.f64 (*.f64 2 (/.f64 (fma.f64 x x -1) (*.f64 (exp.f64 x) (+.f64 x -1)))) 2) | |
| 15.2b | (/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 x eps))))) 2) | |
| 20.2b | (/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (+.f64 1 (*.f64 -1 (*.f64 (+.f64 1 eps) x))))) 2) | |
| ▶ | 0.7b | (/.f64 (*.f64 2 (/.f64 (+.f64 x 1) (exp.f64 x))) 2) |
| ▶ | 19.8b | (*.f64 1/2 (neg.f64 (fma.f64 x x -2))) |
| 20.3b | (/.f64 (-.f64 1 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))))) 2) | |
| 20.0b | (/.f64 (-.f64 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x))))) 2) | |
| 47.0b | (/.f64 (-.f64 (/.f64 (+.f64 eps 1) eps) (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 (*.f64 x (-.f64 -1 eps)) 1))) 2) | |
| ▶ | 20.0b | (/.f64 (-.f64 (+.f64 1 (*.f64 (-.f64 eps 1) x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))))) 2) |
| 61.8b | (/.f64 (*.f64 (neg.f64 x) eps) 2) | |
| 61.1b | (/.f64 (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x)))) 3) 2) | |
| ▶ | 19.7b | (/.f64 2 2) |
| ▶ | 47.3b | (/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x)))))) 2) |
| 43.3b | (/.f64 (*.f64 2 (/.f64 x (exp.f64 x))) 2) | |
| ✓ | 0.7b | (*.f64 1/2 (+.f64 (/.f64 x (exp.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 2 x)))) |
Compiled 591 to 473 computations (20% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (+.f64 x 1) (exp.f64 x)) |
Compiled 34 to 22 computations (35.3% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (/.f64 (+.f64 x 1) (exp.f64 x)) |
| 1.0ms | x | @ | inf | (/.f64 (+.f64 x 1) (exp.f64 x)) |
| 1.0ms | x | @ | 0 | (/.f64 (+.f64 x 1) (exp.f64 x)) |
| 1× | batch-egg-rewrite |
| 672× | pow1_binary64 |
| 627× | log1p-expm1-u_binary64 |
| 627× | expm1-log1p-u_binary64 |
| 626× | add-log-exp_binary64 |
| 613× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 9 |
| 1 | 125 | 8 |
| 2 | 1697 | 8 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 x 1) (exp.f64 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (-.f64 (log1p.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) 2) (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (sqrt.f64 (+.f64 x 1)) (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (neg.f64 x)) (/.f64 1 (neg.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (neg.f64 x)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x 1)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) 1) (/.f64 (sqrt.f64 (+.f64 x 1)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 (+.f64 x 1) (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 (sqrt.f64 (+.f64 x 1)) (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (exp.f64 x))) (/.f64 (+.f64 x 1) (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (sqrt.f64 (exp.f64 x))) (/.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 x) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (-.f64 x (log1p.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x 1) (neg.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (-.f64 (log1p.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (-.f64 (log1p.f64 x) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (exp.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (-.f64 (log1p.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (-.f64 (log1p.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 x) x)))))) |
| 1× | egg-herbie |
| 805× | unswap-sqr_binary64 |
| 759× | fma-def_binary64 |
| 367× | times-frac_binary64 |
| 314× | *-commutative_binary64 |
| 295× | associate-/l*_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 142 |
| 1 | 58 | 140 |
| 2 | 127 | 137 |
| 3 | 416 | 130 |
| 4 | 1224 | 127 |
| 5 | 2739 | 127 |
| 6 | 4739 | 127 |
| 7 | 7196 | 127 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3)))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 4))))) |
(/.f64 x (exp.f64 x)) |
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 x (exp.f64 x))) |
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 x (exp.f64 x))) |
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 x (exp.f64 x))) |
(/.f64 x (exp.f64 x)) |
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 x (exp.f64 x))) |
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 x (exp.f64 x))) |
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 x (exp.f64 x))) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1/2 (*.f64 x x))) |
(fma.f64 -1/2 (*.f64 x x) 1) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3)))) |
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (*.f64 1/3 (pow.f64 x 3)))) |
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) 1)) |
(fma.f64 x (*.f64 x (fma.f64 x 1/3 -1/2)) 1) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 4))))) |
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (fma.f64 1/3 (pow.f64 x 3) (*.f64 -1/8 (pow.f64 x 4))))) |
(+.f64 1 (fma.f64 -1/8 (pow.f64 x 4) (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x 1/3))))) |
(fma.f64 x (*.f64 x (fma.f64 x 1/3 -1/2)) (fma.f64 -1/8 (pow.f64 x 4) 1)) |
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x -1/8 1/3) -1/2) 1) |
(/.f64 x (exp.f64 x)) |
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 x (exp.f64 x))) |
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x))) |
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 x (exp.f64 x))) |
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x))) |
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 x (exp.f64 x))) |
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x))) |
(/.f64 x (exp.f64 x)) |
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 x (exp.f64 x))) |
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x))) |
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 x (exp.f64 x))) |
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x))) |
(+.f64 (/.f64 1 (exp.f64 x)) (/.f64 x (exp.f64 x))) |
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x))) |
Compiled 6 to 6 computations (0% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 1/2 (neg.f64 (fma.f64 x x -2))) |
Compiled 21 to 14 computations (33.3% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (*.f64 1/2 (neg.f64 (fma.f64 x x -2))) |
| 1.0ms | x | @ | -inf | (*.f64 1/2 (neg.f64 (fma.f64 x x -2))) |
| 1.0ms | x | @ | 0 | (*.f64 1/2 (neg.f64 (fma.f64 x x -2))) |
| 1× | batch-egg-rewrite |
| 553× | pow1_binary64 |
| 517× | add-log-exp_binary64 |
| 515× | log1p-expm1-u_binary64 |
| 515× | expm1-log1p-u_binary64 |
| 509× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 146 | 8 |
| 2 | 1692 | 8 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 (neg.f64 (fma.f64 x x -2))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (*.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 1/2 (fma.f64 x x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/2 (fma.f64 x x -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (fma.f64 x x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/2 (fma.f64 x x -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/2 (fma.f64 x x -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/2 (fma.f64 x x -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1/2 (fma.f64 x x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (fma.f64 x x -2) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/2) (fma.f64 x x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/2 (fma.f64 x x -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/2 (fma.f64 x x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/2 (fma.f64 x x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/2 (fma.f64 x x -2)))))))) |
| 1× | egg-herbie |
| 1082× | sqr-pow_binary64 |
| 560× | cube-prod_binary64 |
| 555× | fabs-mul_binary64 |
| 523× | pow-sqr_binary64 |
| 445× | associate-*l*_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 105 |
| 1 | 16 | 87 |
| 2 | 27 | 87 |
| 3 | 51 | 87 |
| 4 | 114 | 87 |
| 5 | 356 | 87 |
| 6 | 1295 | 87 |
| 7 | 2191 | 87 |
| 8 | 2355 | 87 |
| 9 | 2539 | 87 |
| 10 | 2747 | 87 |
| 11 | 3045 | 87 |
| 12 | 3438 | 87 |
| 13 | 3921 | 87 |
| 14 | 4487 | 87 |
| 15 | 5175 | 87 |
| 16 | 6010 | 87 |
| 17 | 6402 | 87 |
| 18 | 6692 | 87 |
| 19 | 6970 | 87 |
| 20 | 7040 | 87 |
| 21 | 7076 | 87 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(*.f64 -1/2 (pow.f64 x 2)) |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(*.f64 -1/2 (pow.f64 x 2)) |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1/2 (*.f64 x x))) |
(fma.f64 -1/2 (*.f64 x x) 1) |
(fma.f64 x (*.f64 -1/2 x) 1) |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1/2 (*.f64 x x))) |
(fma.f64 -1/2 (*.f64 x x) 1) |
(fma.f64 x (*.f64 -1/2 x) 1) |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1/2 (*.f64 x x))) |
(fma.f64 -1/2 (*.f64 x x) 1) |
(fma.f64 x (*.f64 -1/2 x) 1) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1/2 (*.f64 x x))) |
(fma.f64 -1/2 (*.f64 x x) 1) |
(fma.f64 x (*.f64 -1/2 x) 1) |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1/2 (*.f64 x x))) |
(fma.f64 -1/2 (*.f64 x x) 1) |
(fma.f64 x (*.f64 -1/2 x) 1) |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1/2 (*.f64 x x))) |
(fma.f64 -1/2 (*.f64 x x) 1) |
(fma.f64 x (*.f64 -1/2 x) 1) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1/2 (*.f64 x x))) |
(fma.f64 -1/2 (*.f64 x x) 1) |
(fma.f64 x (*.f64 -1/2 x) 1) |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1/2 (*.f64 x x))) |
(fma.f64 -1/2 (*.f64 x x) 1) |
(fma.f64 x (*.f64 -1/2 x) 1) |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1/2 (*.f64 x x))) |
(fma.f64 -1/2 (*.f64 x x) 1) |
(fma.f64 x (*.f64 -1/2 x) 1) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (*.f64 (+.f64 eps 1) x) | |
| ✓ | 0.0b | (*.f64 (-.f64 eps 1) x) |
| 0.0b | (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))) | |
| ✓ | 0.0b | (-.f64 (+.f64 1 (*.f64 (-.f64 eps 1) x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))))) |
Compiled 88 to 64 computations (27.3% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | -inf | (-.f64 (+.f64 1 (*.f64 (-.f64 eps 1) x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))))) |
| 1.0ms | eps | @ | 0 | (-.f64 (+.f64 1 (*.f64 (-.f64 eps 1) x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))))) |
| 1.0ms | eps | @ | inf | (-.f64 (+.f64 1 (*.f64 (-.f64 eps 1) x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))))) |
| 1.0ms | eps | @ | -inf | (-.f64 (+.f64 1 (*.f64 (-.f64 eps 1) x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))))) |
| 1.0ms | x | @ | inf | (-.f64 (+.f64 1 (*.f64 (-.f64 eps 1) x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))))) |
| 1× | batch-egg-rewrite |
| 651× | log-prod_binary64 |
| 645× | fma-def_binary64 |
| 298× | fma-neg_binary64 |
| 225× | expm1-udef_binary64 |
| 224× | log1p-udef_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 30 |
| 1 | 308 | 26 |
| 2 | 4500 | 24 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 1 (*.f64 (-.f64 eps 1) x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))))) |
(*.f64 (-.f64 eps 1) x) |
| Outputs |
|---|
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|
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| 1× | egg-herbie |
| 715× | fma-neg_binary64 |
| 519× | distribute-rgt-neg-out_binary64 |
| 496× | cancel-sign-sub-inv_binary64 |
| 431× | distribute-lft-neg-out_binary64 |
| 414× | associate-*l*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 73 | 538 |
| 1 | 248 | 485 |
| 2 | 774 | 465 |
| 3 | 3790 | 461 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 1 (*.f64 -1 x)) (*.f64 -1 (exp.f64 (neg.f64 x)))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (*.f64 eps (-.f64 x (*.f64 (exp.f64 (neg.f64 x)) x))))) (*.f64 -1 (exp.f64 (neg.f64 x)))) |
(-.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (+.f64 1 (+.f64 (*.f64 -1 x) (*.f64 eps (-.f64 x (*.f64 (exp.f64 (neg.f64 x)) x)))))) (*.f64 -1 (exp.f64 (neg.f64 x)))) |
(-.f64 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (+.f64 1 (+.f64 (*.f64 -1 x) (*.f64 eps (-.f64 x (*.f64 (exp.f64 (neg.f64 x)) x))))))) (*.f64 -1 (exp.f64 (neg.f64 x)))) |
(*.f64 eps x) |
(-.f64 (+.f64 1 (+.f64 (*.f64 eps x) (*.f64 -1 x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 eps x) (*.f64 -1 x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 eps x) (*.f64 -1 x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))))) |
(*.f64 eps x) |
(-.f64 (+.f64 1 (+.f64 (*.f64 eps x) (*.f64 -1 x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 eps x) (*.f64 -1 x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 eps x) (*.f64 -1 x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))))) |
2 |
(+.f64 2 (*.f64 -2 x)) |
(+.f64 2 (+.f64 (*.f64 -2 x) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (pow.f64 x 2))))) |
(+.f64 2 (+.f64 (*.f64 -2 x) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (pow.f64 (+.f64 eps 1) 3) (pow.f64 x 3)))))) |
(*.f64 (-.f64 eps 1) x) |
(-.f64 (+.f64 1 (*.f64 (-.f64 eps 1) x)) (*.f64 -1 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))))) |
(-.f64 (+.f64 1 (*.f64 (-.f64 eps 1) x)) (*.f64 -1 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))))) |
(-.f64 (+.f64 1 (*.f64 (-.f64 eps 1) x)) (*.f64 -1 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))))) |
(*.f64 (-.f64 eps 1) x) |
(*.f64 -1 x) |
(+.f64 (*.f64 eps x) (*.f64 -1 x)) |
(+.f64 (*.f64 eps x) (*.f64 -1 x)) |
(+.f64 (*.f64 eps x) (*.f64 -1 x)) |
(*.f64 eps x) |
(+.f64 (*.f64 eps x) (*.f64 -1 x)) |
(+.f64 (*.f64 eps x) (*.f64 -1 x)) |
(+.f64 (*.f64 eps x) (*.f64 -1 x)) |
(*.f64 eps x) |
(+.f64 (*.f64 eps x) (*.f64 -1 x)) |
(+.f64 (*.f64 eps x) (*.f64 -1 x)) |
(+.f64 (*.f64 eps x) (*.f64 -1 x)) |
| Outputs |
|---|
(-.f64 (+.f64 1 (*.f64 -1 x)) (*.f64 -1 (exp.f64 (neg.f64 x)))) |
(+.f64 1 (-.f64 (neg.f64 x) (neg.f64 (exp.f64 (neg.f64 x))))) |
(+.f64 (-.f64 1 x) (exp.f64 (neg.f64 x))) |
(+.f64 1 (-.f64 (exp.f64 (neg.f64 x)) x)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (*.f64 eps (-.f64 x (*.f64 (exp.f64 (neg.f64 x)) x))))) (*.f64 -1 (exp.f64 (neg.f64 x)))) |
(+.f64 1 (-.f64 (fma.f64 -1 x (*.f64 eps (-.f64 x (*.f64 x (exp.f64 (neg.f64 x)))))) (neg.f64 (exp.f64 (neg.f64 x))))) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 1 (-.f64 (*.f64 eps (-.f64 x (*.f64 x (exp.f64 (neg.f64 x))))) x))) |
(+.f64 (-.f64 1 x) (fma.f64 eps (-.f64 x (/.f64 x (exp.f64 x))) (exp.f64 (neg.f64 x)))) |
(+.f64 1 (-.f64 (fma.f64 eps (-.f64 x (/.f64 x (exp.f64 x))) (exp.f64 (neg.f64 x))) x)) |
(-.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (+.f64 1 (+.f64 (*.f64 -1 x) (*.f64 eps (-.f64 x (*.f64 (exp.f64 (neg.f64 x)) x)))))) (*.f64 -1 (exp.f64 (neg.f64 x)))) |
(-.f64 (fma.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x))) (+.f64 1 (fma.f64 -1 x (*.f64 eps (-.f64 x (*.f64 x (exp.f64 (neg.f64 x)))))))) (neg.f64 (exp.f64 (neg.f64 x)))) |
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (-.f64 (*.f64 eps (-.f64 x (*.f64 x (exp.f64 (neg.f64 x))))) x) (fma.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) (*.f64 eps eps))) 1))) |
(+.f64 (-.f64 (fma.f64 eps (-.f64 x (/.f64 x (exp.f64 x))) 1) x) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 1/2 (*.f64 (*.f64 x eps) (*.f64 x eps))) 1))) |
(+.f64 (-.f64 (fma.f64 eps (-.f64 x (/.f64 x (exp.f64 x))) 1) x) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 1/2 (*.f64 (*.f64 x eps) (*.f64 x eps)) 1))) |
(-.f64 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (+.f64 1 (+.f64 (*.f64 -1 x) (*.f64 eps (-.f64 x (*.f64 (exp.f64 (neg.f64 x)) x))))))) (*.f64 -1 (exp.f64 (neg.f64 x)))) |
(-.f64 (fma.f64 -1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))) (fma.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x))) (+.f64 1 (fma.f64 -1 x (*.f64 eps (-.f64 x (*.f64 x (exp.f64 (neg.f64 x))))))))) (neg.f64 (exp.f64 (neg.f64 x)))) |
(+.f64 (exp.f64 (neg.f64 x)) (fma.f64 -1/6 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 3) (pow.f64 eps 3))) (+.f64 (-.f64 (*.f64 eps (-.f64 x (*.f64 x (exp.f64 (neg.f64 x))))) x) (fma.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) (*.f64 eps eps))) 1)))) |
(+.f64 (-.f64 (fma.f64 -1/6 (*.f64 (pow.f64 x 3) (/.f64 (pow.f64 eps 3) (exp.f64 x))) (fma.f64 (*.f64 eps eps) (*.f64 1/2 (/.f64 (*.f64 x x) (exp.f64 x))) 1)) x) (fma.f64 eps (-.f64 x (/.f64 x (exp.f64 x))) (exp.f64 (neg.f64 x)))) |
(+.f64 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 1/2 (*.f64 (*.f64 x eps) (*.f64 x eps)) 1)) (fma.f64 -1/6 (*.f64 (pow.f64 x 3) (/.f64 (pow.f64 eps 3) (exp.f64 x))) (-.f64 (fma.f64 eps (-.f64 x (/.f64 x (exp.f64 x))) 1) x))) |
(*.f64 eps x) |
(*.f64 x eps) |
(-.f64 (+.f64 1 (+.f64 (*.f64 eps x) (*.f64 -1 x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))))) |
(-.f64 (+.f64 1 (*.f64 x (+.f64 eps -1))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))))) |
(+.f64 (fma.f64 x (+.f64 -1 eps) 1) (exp.f64 (neg.f64 (fma.f64 x eps x)))) |
(+.f64 1 (fma.f64 x (+.f64 -1 eps) (pow.f64 (exp.f64 (-.f64 -1 eps)) x))) |
(+.f64 1 (-.f64 (fma.f64 x eps (pow.f64 (exp.f64 x) (-.f64 -1 eps))) x)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 eps x) (*.f64 -1 x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))))) |
(-.f64 (+.f64 1 (*.f64 x (+.f64 eps -1))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))))) |
(+.f64 (fma.f64 x (+.f64 -1 eps) 1) (exp.f64 (neg.f64 (fma.f64 x eps x)))) |
(+.f64 1 (fma.f64 x (+.f64 -1 eps) (pow.f64 (exp.f64 (-.f64 -1 eps)) x))) |
(+.f64 1 (-.f64 (fma.f64 x eps (pow.f64 (exp.f64 x) (-.f64 -1 eps))) x)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 eps x) (*.f64 -1 x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))))) |
(-.f64 (+.f64 1 (*.f64 x (+.f64 eps -1))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))))) |
(+.f64 (fma.f64 x (+.f64 -1 eps) 1) (exp.f64 (neg.f64 (fma.f64 x eps x)))) |
(+.f64 1 (fma.f64 x (+.f64 -1 eps) (pow.f64 (exp.f64 (-.f64 -1 eps)) x))) |
(+.f64 1 (-.f64 (fma.f64 x eps (pow.f64 (exp.f64 x) (-.f64 -1 eps))) x)) |
(*.f64 eps x) |
(*.f64 x eps) |
(-.f64 (+.f64 1 (+.f64 (*.f64 eps x) (*.f64 -1 x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))))) |
(-.f64 (+.f64 1 (*.f64 x (+.f64 eps -1))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))))) |
(+.f64 (fma.f64 x (+.f64 -1 eps) 1) (exp.f64 (neg.f64 (fma.f64 x eps x)))) |
(+.f64 1 (fma.f64 x (+.f64 -1 eps) (pow.f64 (exp.f64 (-.f64 -1 eps)) x))) |
(+.f64 1 (-.f64 (fma.f64 x eps (pow.f64 (exp.f64 x) (-.f64 -1 eps))) x)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 eps x) (*.f64 -1 x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))))) |
(-.f64 (+.f64 1 (*.f64 x (+.f64 eps -1))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))))) |
(+.f64 (fma.f64 x (+.f64 -1 eps) 1) (exp.f64 (neg.f64 (fma.f64 x eps x)))) |
(+.f64 1 (fma.f64 x (+.f64 -1 eps) (pow.f64 (exp.f64 (-.f64 -1 eps)) x))) |
(+.f64 1 (-.f64 (fma.f64 x eps (pow.f64 (exp.f64 x) (-.f64 -1 eps))) x)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 eps x) (*.f64 -1 x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))))) |
(-.f64 (+.f64 1 (*.f64 x (+.f64 eps -1))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))))) |
(+.f64 (fma.f64 x (+.f64 -1 eps) 1) (exp.f64 (neg.f64 (fma.f64 x eps x)))) |
(+.f64 1 (fma.f64 x (+.f64 -1 eps) (pow.f64 (exp.f64 (-.f64 -1 eps)) x))) |
(+.f64 1 (-.f64 (fma.f64 x eps (pow.f64 (exp.f64 x) (-.f64 -1 eps))) x)) |
2 |
(+.f64 2 (*.f64 -2 x)) |
(+.f64 2 (*.f64 x -2)) |
(fma.f64 x -2 2) |
(+.f64 2 (+.f64 (*.f64 -2 x) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (pow.f64 x 2))))) |
(+.f64 2 (fma.f64 -2 x (*.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (+.f64 1 eps) 2))))) |
(+.f64 2 (fma.f64 x -2 (*.f64 1/2 (*.f64 (fma.f64 x eps x) (fma.f64 x eps x))))) |
(fma.f64 x -2 (fma.f64 1/2 (*.f64 (fma.f64 x eps x) (fma.f64 x eps x)) 2)) |
(+.f64 2 (+.f64 (*.f64 -2 x) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (pow.f64 (+.f64 eps 1) 3) (pow.f64 x 3)))))) |
(+.f64 2 (fma.f64 -2 x (fma.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (+.f64 1 eps) 2)) (*.f64 -1/6 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 eps) 3)))))) |
(+.f64 2 (fma.f64 x -2 (fma.f64 1/2 (*.f64 (fma.f64 x eps x) (fma.f64 x eps x)) (*.f64 -1/6 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 eps) 3)))))) |
(+.f64 2 (fma.f64 1/2 (*.f64 (fma.f64 x eps x) (fma.f64 x eps x)) (fma.f64 (pow.f64 (+.f64 1 eps) 3) (*.f64 -1/6 (pow.f64 x 3)) (*.f64 x -2)))) |
(*.f64 (-.f64 eps 1) x) |
(*.f64 x (+.f64 eps -1)) |
(-.f64 (*.f64 x eps) x) |
(-.f64 (+.f64 1 (*.f64 (-.f64 eps 1) x)) (*.f64 -1 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))))) |
(-.f64 (+.f64 1 (*.f64 x (+.f64 eps -1))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))))) |
(+.f64 (fma.f64 x (+.f64 -1 eps) 1) (exp.f64 (neg.f64 (fma.f64 x eps x)))) |
(+.f64 1 (fma.f64 x (+.f64 -1 eps) (pow.f64 (exp.f64 (-.f64 -1 eps)) x))) |
(+.f64 1 (-.f64 (fma.f64 x eps (pow.f64 (exp.f64 x) (-.f64 -1 eps))) x)) |
(-.f64 (+.f64 1 (*.f64 (-.f64 eps 1) x)) (*.f64 -1 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))))) |
(-.f64 (+.f64 1 (*.f64 x (+.f64 eps -1))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))))) |
(+.f64 (fma.f64 x (+.f64 -1 eps) 1) (exp.f64 (neg.f64 (fma.f64 x eps x)))) |
(+.f64 1 (fma.f64 x (+.f64 -1 eps) (pow.f64 (exp.f64 (-.f64 -1 eps)) x))) |
(+.f64 1 (-.f64 (fma.f64 x eps (pow.f64 (exp.f64 x) (-.f64 -1 eps))) x)) |
(-.f64 (+.f64 1 (*.f64 (-.f64 eps 1) x)) (*.f64 -1 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))))) |
(-.f64 (+.f64 1 (*.f64 x (+.f64 eps -1))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))))) |
(+.f64 (fma.f64 x (+.f64 -1 eps) 1) (exp.f64 (neg.f64 (fma.f64 x eps x)))) |
(+.f64 1 (fma.f64 x (+.f64 -1 eps) (pow.f64 (exp.f64 (-.f64 -1 eps)) x))) |
(+.f64 1 (-.f64 (fma.f64 x eps (pow.f64 (exp.f64 x) (-.f64 -1 eps))) x)) |
(*.f64 (-.f64 eps 1) x) |
(*.f64 x (+.f64 eps -1)) |
(-.f64 (*.f64 x eps) x) |
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 (*.f64 eps x) (*.f64 -1 x)) |
(*.f64 x (+.f64 eps -1)) |
(-.f64 (*.f64 x eps) x) |
(+.f64 (*.f64 eps x) (*.f64 -1 x)) |
(*.f64 x (+.f64 eps -1)) |
(-.f64 (*.f64 x eps) x) |
(+.f64 (*.f64 eps x) (*.f64 -1 x)) |
(*.f64 x (+.f64 eps -1)) |
(-.f64 (*.f64 x eps) x) |
(*.f64 eps x) |
(*.f64 x eps) |
(+.f64 (*.f64 eps x) (*.f64 -1 x)) |
(*.f64 x (+.f64 eps -1)) |
(-.f64 (*.f64 x eps) x) |
(+.f64 (*.f64 eps x) (*.f64 -1 x)) |
(*.f64 x (+.f64 eps -1)) |
(-.f64 (*.f64 x eps) x) |
(+.f64 (*.f64 eps x) (*.f64 -1 x)) |
(*.f64 x (+.f64 eps -1)) |
(-.f64 (*.f64 x eps) x) |
(*.f64 eps x) |
(*.f64 x eps) |
(+.f64 (*.f64 eps x) (*.f64 -1 x)) |
(*.f64 x (+.f64 eps -1)) |
(-.f64 (*.f64 x eps) x) |
(+.f64 (*.f64 eps x) (*.f64 -1 x)) |
(*.f64 x (+.f64 eps -1)) |
(-.f64 (*.f64 x eps) x) |
(+.f64 (*.f64 eps x) (*.f64 -1 x)) |
(*.f64 x (+.f64 eps -1)) |
(-.f64 (*.f64 x eps) x) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (*.f64 (-.f64 1 eps) x) | |
| 0.0b | (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) | |
| 0.0b | (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) | |
| ✓ | 0.7b | (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x)))) |
Compiled 153 to 111 computations (27.5% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x)))) |
| 1.0ms | x | @ | inf | (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x)))) |
| 1.0ms | x | @ | -inf | (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x)))) |
| 1× | batch-egg-rewrite |
| 671× | pow1_binary64 |
| 627× | add-log-exp_binary64 |
| 626× | log1p-expm1-u_binary64 |
| 626× | expm1-log1p-u_binary64 |
| 616× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 12 |
| 1 | 176 | 7 |
| 2 | 2701 | 7 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 x (+.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 x (+.f64 -1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (+.f64 x (+.f64 -1 x))) (/.f64 (pow.f64 (+.f64 -1 x) 2) (+.f64 x (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 x -1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 x (+.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (+.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x (+.f64 -1 x)) 2) (/.f64 1 (+.f64 x (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (+.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 x (+.f64 -1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 -1 x))) 2) (cbrt.f64 (+.f64 x (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (+.f64 -1 x))) (sqrt.f64 (+.f64 x (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 -1 x) 3)) (/.f64 1 (fma.f64 x x (*.f64 (+.f64 -1 x) (+.f64 x (+.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (+.f64 -1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (+.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 -1 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (+.f64 -1 x) (+.f64 x (+.f64 -1 x)))) (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 -1 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (+.f64 -1 x)) (pow.f64 (+.f64 x (+.f64 -1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 x (+.f64 -1 x)) 2) (+.f64 x (+.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 -1 x) 3)) (fma.f64 x x (*.f64 (+.f64 -1 x) (+.f64 x (+.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 -1 x) 3)) (+.f64 (pow.f64 (+.f64 -1 x) 2) (-.f64 (*.f64 x x) (+.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 -1 x) 3))) (neg.f64 (fma.f64 x x (*.f64 (+.f64 -1 x) (+.f64 x (+.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (+.f64 x (+.f64 -1 x)) 2)) (+.f64 x (+.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 (+.f64 -1 x) 3)) (fma.f64 x x (*.f64 (+.f64 -1 x) (+.f64 x (+.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 -1 x) 2) (*.f64 x x)) (+.f64 x (+.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (+.f64 -1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (+.f64 -1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (+.f64 -1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (+.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 x (+.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (+.f64 -1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (+.f64 -1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 x (+.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (+.f64 -1 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -1 (+.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (+.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 -1 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 -1 x) -1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2) (cbrt.f64 (+.f64 -1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 -1 x)) (sqrt.f64 (+.f64 -1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 -1 x)))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1 | 12 |
| 1× | saturated |
| Inputs |
|---|
-1 |
-1 |
-1 |
-1 |
-1 |
-1 |
-1 |
-1 |
-1 |
-1 |
-1 |
-1 |
| Outputs |
|---|
-1 |
-1 |
-1 |
-1 |
-1 |
-1 |
-1 |
-1 |
-1 |
-1 |
-1 |
-1 |
Compiled 12187 to 7917 computations (35% saved)
15 alts after pruning (13 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 444 | 7 | 451 |
| Fresh | 4 | 6 | 10 |
| Picked | 1 | 0 | 1 |
| Done | 4 | 2 | 6 |
| Total | 453 | 15 | 468 |
| Status | Error | Program |
|---|---|---|
| 27.1b | (/.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2) | |
| ▶ | 19.8b | (fma.f64 x (*.f64 -1/2 x) 1) |
| ✓ | 43.6b | (*.f64 1/2 0) |
| 19.7b | 1 | |
| ▶ | 20.1b | (/.f64 (-.f64 (+.f64 1 (*.f64 (-.f64 eps 1) x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 x eps))))) 2) |
| 15.2b | (/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 x eps))))) 2) | |
| ✓ | 0.7b | (/.f64 (*.f64 2 (/.f64 (+.f64 x 1) (exp.f64 x))) 2) |
| 20.3b | (/.f64 (-.f64 1 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))))) 2) | |
| ▶ | 47.0b | (/.f64 (-.f64 (/.f64 (+.f64 eps 1) eps) (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 (*.f64 x (-.f64 -1 eps)) 1))) 2) |
| 61.8b | (/.f64 (*.f64 (neg.f64 x) eps) 2) | |
| ▶ | 62.5b | (*.f64 -1/2 (*.f64 x x)) |
| 47.4b | (/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (+.f64 (*.f64 eps x) -1)) 2) | |
| 47.7b | (/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 eps 1) x))) (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x)))))) 2) | |
| 61.1b | (/.f64 (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x)))) 3) 2) | |
| ▶ | 0.9b | (/.f64 (*.f64 2 (exp.f64 (-.f64 (log1p.f64 x) x))) 2) |
Compiled 474 to 376 computations (20.7% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 2.0b | (-.f64 (log1p.f64 x) x) |
Compiled 31 to 12 computations (61.3% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (-.f64 (log1p.f64 x) x) |
| 0.0ms | x | @ | inf | (-.f64 (log1p.f64 x) x) |
| 0.0ms | x | @ | -inf | (-.f64 (log1p.f64 x) x) |
| 1× | batch-egg-rewrite |
| 513× | pow1_binary64 |
| 496× | add-sqr-sqrt_binary64 |
| 480× | add-log-exp_binary64 |
| 480× | expm1-log1p-u_binary64 |
| 479× | log1p-expm1-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 6 |
| 1 | 89 | 6 |
| 2 | 1274 | 6 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (log1p.f64 x) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 x) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 x) x) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log1p.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (log1p.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (log1p.f64 x) x)) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) x)) 2) (cbrt.f64 (-.f64 (log1p.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (log1p.f64 x) x)) (sqrt.f64 (-.f64 (log1p.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 x (+.f64 x (log1p.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 x (+.f64 x (log1p.f64 x)))) (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (log1p.f64 x)) (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 x (+.f64 x (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 x x)) (+.f64 x (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 x (+.f64 x (log1p.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 x x))) (neg.f64 (+.f64 x (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (log1p.f64 x) 2) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (log1p.f64 x) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (log1p.f64 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (log1p.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (log1p.f64 x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (log1p.f64 x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (log1p.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (log1p.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (log1p.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log1p.f64 x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (neg.f64 x)))))) |
| 1× | egg-herbie |
| 626× | fma-def_binary64 |
| 435× | sub-neg_binary64 |
| 432× | fma-neg_binary64 |
| 347× | cancel-sign-sub-inv_binary64 |
| 253× | +-commutative_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 180 |
| 1 | 127 | 154 |
| 2 | 327 | 151 |
| 3 | 1097 | 145 |
| 4 | 3868 | 145 |
| 5 | 7558 | 145 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/4 (pow.f64 x 4)))) |
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 1/5 (pow.f64 x 5)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/4 (pow.f64 x 4))))) |
(*.f64 -1 x) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 -1 x)) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 -1 x) (/.f64 1 x))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 -1 x) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(*.f64 -1 x) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (*.f64 -1 x))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 x) (/.f64 1 x)))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 x) (/.f64 1 x)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
| Outputs |
|---|
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 2))) |
(fma.f64 1/3 (pow.f64 x 3) (*.f64 -1/2 (*.f64 x x))) |
(fma.f64 -1/2 (*.f64 x x) (*.f64 1/3 (pow.f64 x 3))) |
(*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x 1/3))) |
(*.f64 (*.f64 x x) (fma.f64 x 1/3 -1/2)) |
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/4 (pow.f64 x 4)))) |
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (*.f64 -1/4 (pow.f64 x 4)))) |
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 -1/4 (pow.f64 x 4) (*.f64 -1/2 (*.f64 x x)))) |
(fma.f64 -1/4 (pow.f64 x 4) (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x 1/3)))) |
(fma.f64 (*.f64 x x) (fma.f64 x 1/3 -1/2) (*.f64 -1/4 (pow.f64 x 4))) |
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 1/5 (pow.f64 x 5)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/4 (pow.f64 x 4))))) |
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 -1/2 (*.f64 x x) (*.f64 -1/4 (pow.f64 x 4))))) |
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 -1/4 (pow.f64 x 4) (*.f64 -1/2 (*.f64 x x))))) |
(fma.f64 1/5 (pow.f64 x 5) (fma.f64 -1/4 (pow.f64 x 4) (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x 1/3))))) |
(fma.f64 x (*.f64 x (fma.f64 x 1/3 -1/2)) (fma.f64 -1/4 (pow.f64 x 4) (*.f64 1/5 (pow.f64 x 5)))) |
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 -1 x)) |
(*.f64 -1 (+.f64 (neg.f64 (log.f64 x)) x)) |
(-.f64 (log.f64 x) x) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 -1 x) (/.f64 1 x))) |
(fma.f64 -1 (neg.f64 (log.f64 x)) (fma.f64 -1 x (/.f64 1 x))) |
(+.f64 (/.f64 1 x) (-.f64 (log.f64 x) x)) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 -1 x) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (fma.f64 -1 x (/.f64 1 x))) (/.f64 1/2 (*.f64 x x))) |
(+.f64 (-.f64 (log.f64 x) x) (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x)))) |
(+.f64 (-.f64 (log.f64 x) x) (+.f64 (/.f64 1 x) (/.f64 (/.f64 -1/2 x) x))) |
(+.f64 (/.f64 1 x) (-.f64 (log.f64 x) (+.f64 x (/.f64 1/2 (*.f64 x x))))) |
(-.f64 (log.f64 x) (+.f64 (/.f64 (/.f64 1/2 x) x) (+.f64 x (/.f64 -1 x)))) |
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (*.f64 -1 x))) |
(*.f64 -1 (+.f64 (neg.f64 (log.f64 x)) x)) |
(-.f64 (log.f64 x) x) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 x) (/.f64 1 x)))) |
(fma.f64 -1 (neg.f64 (log.f64 x)) (fma.f64 -1 x (/.f64 1 x))) |
(+.f64 (/.f64 1 x) (-.f64 (log.f64 x) x)) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 x) (/.f64 1 x)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (fma.f64 -1 x (/.f64 1 x))) (/.f64 1/2 (*.f64 x x))) |
(+.f64 (-.f64 (log.f64 x) x) (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x)))) |
(+.f64 (-.f64 (log.f64 x) x) (+.f64 (/.f64 1 x) (/.f64 (/.f64 -1/2 x) x))) |
(+.f64 (/.f64 1 x) (-.f64 (log.f64 x) (+.f64 x (/.f64 1/2 (*.f64 x x))))) |
(-.f64 (log.f64 x) (+.f64 (/.f64 (/.f64 1/2 x) x) (+.f64 x (/.f64 -1 x)))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 -1/2 (*.f64 x x)) |
Compiled 12 to 6 computations (50% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (*.f64 -1/2 (*.f64 x x)) |
| 1.0ms | x | @ | inf | (*.f64 -1/2 (*.f64 x x)) |
| 0.0ms | x | @ | -inf | (*.f64 -1/2 (*.f64 x x)) |
| 1× | batch-egg-rewrite |
| 432× | pow1_binary64 |
| 420× | add-sqr-sqrt_binary64 |
| 411× | *-un-lft-identity_binary64 |
| 401× | add-log-exp_binary64 |
| 401× | log1p-expm1-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 7 |
| 1 | 102 | 7 |
| 2 | 1148 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/2 (*.f64 x x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -1/2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/2 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/4 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/2 (*.f64 x x)))))))) |
| 1× | egg-herbie |
| 1082× | sqr-pow_binary64 |
| 617× | cube-prod_binary64 |
| 554× | fabs-mul_binary64 |
| 523× | pow-sqr_binary64 |
| 441× | associate-*l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 84 |
| 1 | 12 | 84 |
| 2 | 23 | 84 |
| 3 | 44 | 84 |
| 4 | 105 | 84 |
| 5 | 331 | 84 |
| 6 | 1250 | 84 |
| 7 | 2123 | 84 |
| 8 | 2287 | 84 |
| 9 | 2471 | 84 |
| 10 | 2679 | 84 |
| 11 | 2976 | 84 |
| 12 | 3371 | 84 |
| 13 | 3852 | 84 |
| 14 | 4418 | 84 |
| 15 | 5102 | 84 |
| 16 | 5935 | 84 |
| 17 | 6327 | 84 |
| 18 | 6619 | 84 |
| 19 | 6895 | 84 |
| 20 | 6969 | 84 |
| 21 | 7003 | 84 |
| 22 | 7944 | 84 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
| Outputs |
|---|
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 -1/2 x)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 -1/2 x)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 -1/2 x)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 -1/2 x)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 -1/2 x)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 -1/2 x)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 -1/2 x)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 -1/2 x)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 -1/2 x)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 -1/2 x)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 -1/2 x)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 -1/2 (*.f64 x x)) |
(*.f64 x (*.f64 -1/2 x)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 x (-.f64 -1 eps)) |
| ✓ | 0.0b | (/.f64 (+.f64 eps 1) eps) |
| 0.1b | (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 (*.f64 x (-.f64 -1 eps)) 1)) | |
| ✓ | 4.5b | (-.f64 (/.f64 (+.f64 eps 1) eps) (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 (*.f64 x (-.f64 -1 eps)) 1))) |
Compiled 91 to 66 computations (27.5% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | eps | @ | -inf | (-.f64 (/.f64 (+.f64 eps 1) eps) (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 (*.f64 x (-.f64 -1 eps)) 1))) |
| 1.0ms | eps | @ | 0 | (-.f64 (/.f64 (+.f64 eps 1) eps) (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 (*.f64 x (-.f64 -1 eps)) 1))) |
| 0.0ms | x | @ | inf | (*.f64 x (-.f64 -1 eps)) |
| 0.0ms | x | @ | 0 | (*.f64 x (-.f64 -1 eps)) |
| 0.0ms | eps | @ | inf | (-.f64 (/.f64 (+.f64 eps 1) eps) (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 (*.f64 x (-.f64 -1 eps)) 1))) |
| 1× | batch-egg-rewrite |
| 709× | fma-def_binary64 |
| 397× | fma-neg_binary64 |
| 288× | log1p-udef_binary64 |
| 286× | expm1-udef_binary64 |
| 278× | log-div_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 40 |
| 1 | 333 | 40 |
| 2 | 5163 | 38 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (/.f64 (+.f64 eps 1) eps) (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 (*.f64 x (-.f64 -1 eps)) 1))) |
(/.f64 (+.f64 eps 1) eps) |
(*.f64 x (-.f64 -1 eps)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 eps 1) eps) (*.f64 (fma.f64 x (-.f64 -1 eps) 1) (+.f64 1 (/.f64 -1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 eps 1) eps) (*.f64 (*.f64 (fma.f64 x (-.f64 -1 eps) 1) (+.f64 1 (/.f64 -1 eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (fma.f64 x (-.f64 -1 eps) 1) (+.f64 1 (/.f64 -1 eps)) (/.f64 (+.f64 eps 1) eps)) (fma.f64 (*.f64 (fma.f64 x (-.f64 -1 eps) 1) (+.f64 1 (/.f64 -1 eps))) 1 (*.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 x (-.f64 -1 eps) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (fma.f64 x (-.f64 -1 eps) 1) (+.f64 1 (/.f64 -1 eps)) (/.f64 (+.f64 eps 1) eps)) (fma.f64 (+.f64 1 (/.f64 -1 eps)) (fma.f64 x (-.f64 -1 eps) 1) (*.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 x (-.f64 -1 eps) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (fma.f64 x (-.f64 -1 eps) 1) (+.f64 1 (/.f64 -1 eps)) (/.f64 (+.f64 eps 1) eps)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 x (-.f64 -1 eps) 1)))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 x (-.f64 -1 eps) 1))) 2) (*.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 x (-.f64 -1 eps) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 x (-.f64 -1 eps) 1) (+.f64 1 (/.f64 -1 eps))) (/.f64 (+.f64 eps 1) eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (fma.f64 x (-.f64 -1 eps) 1) (+.f64 1 (/.f64 -1 eps)) (/.f64 (+.f64 eps 1) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (fma.f64 x (-.f64 -1 eps) 1) (+.f64 1 (/.f64 -1 eps)) (/.f64 (+.f64 eps 1) eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (fma.f64 x (-.f64 -1 eps) 1) (+.f64 1 (/.f64 -1 eps)) (/.f64 (+.f64 eps 1) eps))) (pow.f64 (cbrt.f64 (fma.f64 (fma.f64 x (-.f64 -1 eps) 1) (+.f64 1 (/.f64 -1 eps)) (/.f64 (+.f64 eps 1) eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (fma.f64 x (-.f64 -1 eps) 1) (+.f64 1 (/.f64 -1 eps)) (/.f64 (+.f64 eps 1) eps))) 2) (cbrt.f64 (fma.f64 (fma.f64 x (-.f64 -1 eps) 1) (+.f64 1 (/.f64 -1 eps)) (/.f64 (+.f64 eps 1) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (fma.f64 x (-.f64 -1 eps) 1) (+.f64 1 (/.f64 -1 eps)) (/.f64 (+.f64 eps 1) eps))) (sqrt.f64 (fma.f64 (fma.f64 x (-.f64 -1 eps) 1) (+.f64 1 (/.f64 -1 eps)) (/.f64 (+.f64 eps 1) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (/.f64 (+.f64 eps 1) eps) 3) (pow.f64 (*.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 x (-.f64 -1 eps) 1)) 3)) (/.f64 1 (fma.f64 (*.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 x (-.f64 -1 eps) 1)) (fma.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 x (-.f64 -1 eps) 1) (/.f64 (+.f64 eps 1) eps)) (pow.f64 (/.f64 (+.f64 eps 1) eps) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (/.f64 (+.f64 eps 1) eps) 2) (pow.f64 (*.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 x (-.f64 -1 eps) 1)) 2)) (/.f64 1 (fma.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 x (-.f64 -1 eps) 1) (/.f64 (+.f64 eps 1) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (/.f64 (+.f64 eps 1) eps)) (sqrt.f64 (*.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 x (-.f64 -1 eps) 1)))) (-.f64 (sqrt.f64 (/.f64 (+.f64 eps 1) eps)) (sqrt.f64 (*.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 x (-.f64 -1 eps) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 x (-.f64 -1 eps) 1)) (fma.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 x (-.f64 -1 eps) 1) (/.f64 (+.f64 eps 1) eps)) (pow.f64 (/.f64 (+.f64 eps 1) eps) 2)) (-.f64 (pow.f64 (/.f64 (+.f64 eps 1) eps) 3) (pow.f64 (*.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 x (-.f64 -1 eps) 1)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 x (-.f64 -1 eps) 1) (/.f64 (+.f64 eps 1) eps)) (-.f64 (pow.f64 (/.f64 (+.f64 eps 1) eps) 2) (pow.f64 (*.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 x (-.f64 -1 eps) 1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 (+.f64 eps 1) eps) 3) (pow.f64 (*.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 x (-.f64 -1 eps) 1)) 3)) (fma.f64 (*.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 x (-.f64 -1 eps) 1)) (fma.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 x (-.f64 -1 eps) 1) (/.f64 (+.f64 eps 1) eps)) (pow.f64 (/.f64 (+.f64 eps 1) eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 (+.f64 eps 1) eps) 2) (pow.f64 (*.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 x (-.f64 -1 eps) 1)) 2)) (fma.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 x (-.f64 -1 eps) 1) (/.f64 (+.f64 eps 1) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (+.f64 eps 1) eps) 3) (pow.f64 (*.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 x (-.f64 -1 eps) 1)) 3))) (neg.f64 (fma.f64 (*.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 x (-.f64 -1 eps) 1)) (fma.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 x (-.f64 -1 eps) 1) (/.f64 (+.f64 eps 1) eps)) (pow.f64 (/.f64 (+.f64 eps 1) eps) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (+.f64 eps 1) eps) 2) (pow.f64 (*.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 x (-.f64 -1 eps) 1)) 2))) (neg.f64 (fma.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 x (-.f64 -1 eps) 1) (/.f64 (+.f64 eps 1) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 (+.f64 eps 1) eps) 3) (pow.f64 (*.f64 (fma.f64 x (-.f64 -1 eps) 1) (+.f64 1 (/.f64 -1 eps))) 3)) (+.f64 (pow.f64 (/.f64 (+.f64 eps 1) eps) 2) (-.f64 (*.f64 (*.f64 (fma.f64 x (-.f64 -1 eps) 1) (+.f64 1 (/.f64 -1 eps))) (*.f64 (fma.f64 x (-.f64 -1 eps) 1) (+.f64 1 (/.f64 -1 eps)))) (*.f64 (/.f64 (+.f64 eps 1) eps) (*.f64 (fma.f64 x (-.f64 -1 eps) 1) (+.f64 1 (/.f64 -1 eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 (+.f64 eps 1) eps) 2) (*.f64 (*.f64 (fma.f64 x (-.f64 -1 eps) 1) (+.f64 1 (/.f64 -1 eps))) (*.f64 (fma.f64 x (-.f64 -1 eps) 1) (+.f64 1 (/.f64 -1 eps))))) (-.f64 (/.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 eps 1) eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 eps 1) eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 eps 1) (/.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 eps 1) eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 eps) (+.f64 eps 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -1 eps) (/.f64 -1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 eps 1) eps)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 eps 1) eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 eps 1) eps)) 2) (cbrt.f64 (/.f64 (+.f64 eps 1) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2) (*.f64 (cbrt.f64 (+.f64 eps 1)) (/.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 eps 1) eps)) (sqrt.f64 (/.f64 (+.f64 eps 1) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 eps -1/2) (/.f64 (+.f64 eps 1) (sqrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 eps 1)) (*.f64 (sqrt.f64 (+.f64 eps 1)) (/.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 eps 1)) eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 eps 1)) 1) (/.f64 (sqrt.f64 (+.f64 eps 1)) eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 eps) 2)) (/.f64 (+.f64 eps 1) (cbrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 (/.f64 (+.f64 eps 1) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 eps 1)) (pow.f64 (cbrt.f64 eps) 2)) (/.f64 (sqrt.f64 (+.f64 eps 1)) (cbrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2) (sqrt.f64 eps)) (/.f64 (cbrt.f64 (+.f64 eps 1)) (sqrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 eps 1) (cbrt.f64 (pow.f64 eps -2))) (/.f64 1 (cbrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 eps 1) (pow.f64 eps -1/2)) (pow.f64 eps -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 eps 1) eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 eps 1) eps)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 eps 1) eps)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 eps 1) eps) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 eps (+.f64 eps 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 eps 1) (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 eps 1) eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 eps 1) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 eps 1) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 eps 1) eps) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 eps 1) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 eps 1) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 eps) (log.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 eps) (log.f64 eps)) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1 x) (*.f64 (neg.f64 eps) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -1) (*.f64 x (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 x (-.f64 -1 eps) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 -1 (pow.f64 eps 3)) x) (fma.f64 eps (+.f64 eps -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) (+.f64 eps -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 -1 (pow.f64 eps 3))) (fma.f64 eps (+.f64 eps -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (+.f64 eps -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (-.f64 -1 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (-.f64 -1 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (-.f64 -1 eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (-.f64 -1 eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (-.f64 -1 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (-.f64 -1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 -1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (-.f64 -1 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (-.f64 -1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (*.f64 x (-.f64 -1 eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (-.f64 -1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (-.f64 -1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 -1 eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x (-.f64 -1 eps) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 x (*.f64 (neg.f64 eps) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -1 (*.f64 x (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x (-.f64 -1 eps) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 x (-.f64 -1 eps) 1)) (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 -1 eps) 1)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 -1 eps) 1)) 2) (cbrt.f64 (fma.f64 x (-.f64 -1 eps) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x (-.f64 -1 eps) 1)) (sqrt.f64 (fma.f64 x (-.f64 -1 eps) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (*.f64 x (-.f64 -1 eps)) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x (-.f64 -1 eps)) 2) (-.f64 1 (*.f64 x (-.f64 -1 eps))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 -1 eps)) 2) -1) (/.f64 1 (fma.f64 x (-.f64 -1 eps) -1)) -1))))) |
| 1× | egg-herbie |
| 724× | sub-neg_binary64 |
| 653× | fma-def_binary64 |
| 493× | associate--l+_binary64 |
| 449× | unsub-neg_binary64 |
| 363× | associate--l-_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 835 |
| 1 | 128 | 706 |
| 2 | 409 | 612 |
| 3 | 1836 | 472 |
| 4 | 5312 | 472 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x eps) |
(-.f64 (+.f64 1 (/.f64 x eps)) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x))))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (/.f64 x eps))) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x))))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (/.f64 x eps))) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x))))) |
(*.f64 -1 (*.f64 eps x)) |
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 eps x))) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x))))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (/.f64 x eps))) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x))))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (/.f64 x eps))) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x))))) |
(*.f64 -1 (*.f64 eps x)) |
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 eps x))) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x))))) |
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) eps))))) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x))))) |
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) eps))))) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x))))) |
2 |
(+.f64 2 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x))) |
(+.f64 2 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x))) |
(+.f64 2 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x))) |
(*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)) |
(+.f64 2 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x))) |
(+.f64 2 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x))) |
(+.f64 2 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x))) |
(*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)) |
(+.f64 2 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x))) |
(+.f64 2 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x))) |
(+.f64 2 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x))) |
(/.f64 1 eps) |
(+.f64 (/.f64 1 eps) 1) |
(+.f64 (/.f64 1 eps) 1) |
(+.f64 (/.f64 1 eps) 1) |
1 |
(+.f64 (/.f64 1 eps) 1) |
(+.f64 (/.f64 1 eps) 1) |
(+.f64 (/.f64 1 eps) 1) |
1 |
(+.f64 (/.f64 1 eps) 1) |
(+.f64 (/.f64 1 eps) 1) |
(+.f64 (/.f64 1 eps) 1) |
(*.f64 -1 (*.f64 (+.f64 1 eps) x)) |
(*.f64 -1 (*.f64 (+.f64 1 eps) x)) |
(*.f64 -1 (*.f64 (+.f64 1 eps) x)) |
(*.f64 -1 (*.f64 (+.f64 1 eps) x)) |
(*.f64 -1 (*.f64 (+.f64 eps 1) x)) |
(*.f64 -1 (*.f64 (+.f64 eps 1) x)) |
(*.f64 -1 (*.f64 (+.f64 eps 1) x)) |
(*.f64 -1 (*.f64 (+.f64 eps 1) x)) |
(*.f64 -1 (*.f64 (+.f64 1 eps) x)) |
(*.f64 -1 (*.f64 (+.f64 1 eps) x)) |
(*.f64 -1 (*.f64 (+.f64 1 eps) x)) |
(*.f64 -1 (*.f64 (+.f64 1 eps) x)) |
(*.f64 -1 x) |
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x)) |
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x)) |
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x)) |
(*.f64 -1 (*.f64 eps x)) |
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x)) |
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x)) |
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x)) |
(*.f64 -1 (*.f64 eps x)) |
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x)) |
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x)) |
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x)) |
| Outputs |
|---|
(/.f64 x eps) |
(-.f64 (+.f64 1 (/.f64 x eps)) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x))))) |
(-.f64 (+.f64 (/.f64 x eps) 1) (*.f64 -1 (+.f64 x (+.f64 1 (neg.f64 x))))) |
(-.f64 (+.f64 (/.f64 x eps) 1) (-.f64 (neg.f64 x) (-.f64 1 x))) |
(+.f64 (/.f64 x eps) (-.f64 2 (-.f64 x x))) |
(+.f64 (/.f64 x eps) 2) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (/.f64 x eps))) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x))))) |
(+.f64 1 (-.f64 (fma.f64 -1 (*.f64 x eps) (/.f64 x eps)) (*.f64 -1 (+.f64 x (+.f64 1 (neg.f64 x)))))) |
(+.f64 1 (-.f64 (-.f64 (/.f64 x eps) (*.f64 x eps)) (-.f64 (neg.f64 x) (-.f64 1 x)))) |
(+.f64 (/.f64 x eps) (-.f64 (-.f64 2 (-.f64 x x)) (*.f64 x eps))) |
(-.f64 (/.f64 x eps) (fma.f64 x eps -2)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (/.f64 x eps))) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x))))) |
(+.f64 1 (-.f64 (fma.f64 -1 (*.f64 x eps) (/.f64 x eps)) (*.f64 -1 (+.f64 x (+.f64 1 (neg.f64 x)))))) |
(+.f64 1 (-.f64 (-.f64 (/.f64 x eps) (*.f64 x eps)) (-.f64 (neg.f64 x) (-.f64 1 x)))) |
(+.f64 (/.f64 x eps) (-.f64 (-.f64 2 (-.f64 x x)) (*.f64 x eps))) |
(-.f64 (/.f64 x eps) (fma.f64 x eps -2)) |
(*.f64 -1 (*.f64 eps x)) |
(neg.f64 (*.f64 x eps)) |
(*.f64 x (neg.f64 eps)) |
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 eps x))) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x))))) |
(+.f64 1 (-.f64 (neg.f64 (*.f64 x eps)) (*.f64 -1 (+.f64 x (+.f64 1 (neg.f64 x)))))) |
(-.f64 (fma.f64 (neg.f64 eps) x 1) (-.f64 (neg.f64 x) (-.f64 1 x))) |
(-.f64 (-.f64 2 (-.f64 x x)) (*.f64 x eps)) |
(-.f64 2 (*.f64 x eps)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (/.f64 x eps))) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x))))) |
(+.f64 1 (-.f64 (fma.f64 -1 (*.f64 x eps) (/.f64 x eps)) (*.f64 -1 (+.f64 x (+.f64 1 (neg.f64 x)))))) |
(+.f64 1 (-.f64 (-.f64 (/.f64 x eps) (*.f64 x eps)) (-.f64 (neg.f64 x) (-.f64 1 x)))) |
(+.f64 (/.f64 x eps) (-.f64 (-.f64 2 (-.f64 x x)) (*.f64 x eps))) |
(-.f64 (/.f64 x eps) (fma.f64 x eps -2)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (/.f64 x eps))) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x))))) |
(+.f64 1 (-.f64 (fma.f64 -1 (*.f64 x eps) (/.f64 x eps)) (*.f64 -1 (+.f64 x (+.f64 1 (neg.f64 x)))))) |
(+.f64 1 (-.f64 (-.f64 (/.f64 x eps) (*.f64 x eps)) (-.f64 (neg.f64 x) (-.f64 1 x)))) |
(+.f64 (/.f64 x eps) (-.f64 (-.f64 2 (-.f64 x x)) (*.f64 x eps))) |
(-.f64 (/.f64 x eps) (fma.f64 x eps -2)) |
(*.f64 -1 (*.f64 eps x)) |
(neg.f64 (*.f64 x eps)) |
(*.f64 x (neg.f64 eps)) |
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 eps x))) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x))))) |
(+.f64 1 (-.f64 (neg.f64 (*.f64 x eps)) (*.f64 -1 (+.f64 x (+.f64 1 (neg.f64 x)))))) |
(-.f64 (fma.f64 (neg.f64 eps) x 1) (-.f64 (neg.f64 x) (-.f64 1 x))) |
(-.f64 (-.f64 2 (-.f64 x x)) (*.f64 x eps)) |
(-.f64 2 (*.f64 x eps)) |
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) eps))))) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x))))) |
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (fma.f64 -1 (*.f64 x eps) (/.f64 (neg.f64 (+.f64 1 (neg.f64 x))) eps)))) (*.f64 -1 (+.f64 x (+.f64 1 (neg.f64 x))))) |
(+.f64 (fma.f64 -1 (fma.f64 x eps (/.f64 (-.f64 1 x) eps)) 1) (-.f64 (/.f64 1 eps) (-.f64 (neg.f64 x) (-.f64 1 x)))) |
(+.f64 (-.f64 2 (-.f64 x x)) (-.f64 (/.f64 1 eps) (fma.f64 x eps (/.f64 (-.f64 1 x) eps)))) |
(+.f64 (/.f64 1 eps) (-.f64 (/.f64 (-.f64 x 1) eps) (fma.f64 x eps -2))) |
(-.f64 (-.f64 (/.f64 1 eps) (/.f64 (-.f64 1 x) eps)) (fma.f64 x eps -2)) |
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) eps))))) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x))))) |
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (fma.f64 -1 (*.f64 x eps) (/.f64 (neg.f64 (+.f64 1 (neg.f64 x))) eps)))) (*.f64 -1 (+.f64 x (+.f64 1 (neg.f64 x))))) |
(+.f64 (fma.f64 -1 (fma.f64 x eps (/.f64 (-.f64 1 x) eps)) 1) (-.f64 (/.f64 1 eps) (-.f64 (neg.f64 x) (-.f64 1 x)))) |
(+.f64 (-.f64 2 (-.f64 x x)) (-.f64 (/.f64 1 eps) (fma.f64 x eps (/.f64 (-.f64 1 x) eps)))) |
(+.f64 (/.f64 1 eps) (-.f64 (/.f64 (-.f64 x 1) eps) (fma.f64 x eps -2))) |
(-.f64 (-.f64 (/.f64 1 eps) (/.f64 (-.f64 1 x) eps)) (fma.f64 x eps -2)) |
2 |
(+.f64 2 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x))) |
(+.f64 1 (-.f64 (fma.f64 -1 (*.f64 x eps) (/.f64 x eps)) (*.f64 -1 (+.f64 x (+.f64 1 (neg.f64 x)))))) |
(+.f64 1 (-.f64 (-.f64 (/.f64 x eps) (*.f64 x eps)) (-.f64 (neg.f64 x) (-.f64 1 x)))) |
(+.f64 (/.f64 x eps) (-.f64 (-.f64 2 (-.f64 x x)) (*.f64 x eps))) |
(-.f64 (/.f64 x eps) (fma.f64 x eps -2)) |
(+.f64 2 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x))) |
(+.f64 1 (-.f64 (fma.f64 -1 (*.f64 x eps) (/.f64 x eps)) (*.f64 -1 (+.f64 x (+.f64 1 (neg.f64 x)))))) |
(+.f64 1 (-.f64 (-.f64 (/.f64 x eps) (*.f64 x eps)) (-.f64 (neg.f64 x) (-.f64 1 x)))) |
(+.f64 (/.f64 x eps) (-.f64 (-.f64 2 (-.f64 x x)) (*.f64 x eps))) |
(-.f64 (/.f64 x eps) (fma.f64 x eps -2)) |
(+.f64 2 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x))) |
(+.f64 1 (-.f64 (fma.f64 -1 (*.f64 x eps) (/.f64 x eps)) (*.f64 -1 (+.f64 x (+.f64 1 (neg.f64 x)))))) |
(+.f64 1 (-.f64 (-.f64 (/.f64 x eps) (*.f64 x eps)) (-.f64 (neg.f64 x) (-.f64 1 x)))) |
(+.f64 (/.f64 x eps) (-.f64 (-.f64 2 (-.f64 x x)) (*.f64 x eps))) |
(-.f64 (/.f64 x eps) (fma.f64 x eps -2)) |
(*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)) |
(*.f64 (+.f64 eps 1) (*.f64 x (+.f64 (/.f64 1 eps) -1))) |
(*.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 x eps x)) |
(*.f64 (+.f64 eps 1) (-.f64 (/.f64 x eps) x)) |
(-.f64 (/.f64 x eps) (*.f64 x eps)) |
(+.f64 2 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x))) |
(+.f64 1 (-.f64 (fma.f64 -1 (*.f64 x eps) (/.f64 x eps)) (*.f64 -1 (+.f64 x (+.f64 1 (neg.f64 x)))))) |
(+.f64 1 (-.f64 (-.f64 (/.f64 x eps) (*.f64 x eps)) (-.f64 (neg.f64 x) (-.f64 1 x)))) |
(+.f64 (/.f64 x eps) (-.f64 (-.f64 2 (-.f64 x x)) (*.f64 x eps))) |
(-.f64 (/.f64 x eps) (fma.f64 x eps -2)) |
(+.f64 2 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x))) |
(+.f64 1 (-.f64 (fma.f64 -1 (*.f64 x eps) (/.f64 x eps)) (*.f64 -1 (+.f64 x (+.f64 1 (neg.f64 x)))))) |
(+.f64 1 (-.f64 (-.f64 (/.f64 x eps) (*.f64 x eps)) (-.f64 (neg.f64 x) (-.f64 1 x)))) |
(+.f64 (/.f64 x eps) (-.f64 (-.f64 2 (-.f64 x x)) (*.f64 x eps))) |
(-.f64 (/.f64 x eps) (fma.f64 x eps -2)) |
(+.f64 2 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x))) |
(+.f64 1 (-.f64 (fma.f64 -1 (*.f64 x eps) (/.f64 x eps)) (*.f64 -1 (+.f64 x (+.f64 1 (neg.f64 x)))))) |
(+.f64 1 (-.f64 (-.f64 (/.f64 x eps) (*.f64 x eps)) (-.f64 (neg.f64 x) (-.f64 1 x)))) |
(+.f64 (/.f64 x eps) (-.f64 (-.f64 2 (-.f64 x x)) (*.f64 x eps))) |
(-.f64 (/.f64 x eps) (fma.f64 x eps -2)) |
(*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)) |
(*.f64 (+.f64 eps 1) (*.f64 x (+.f64 (/.f64 1 eps) -1))) |
(*.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 x eps x)) |
(*.f64 (+.f64 eps 1) (-.f64 (/.f64 x eps) x)) |
(-.f64 (/.f64 x eps) (*.f64 x eps)) |
(+.f64 2 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x))) |
(+.f64 1 (-.f64 (fma.f64 -1 (*.f64 x eps) (/.f64 x eps)) (*.f64 -1 (+.f64 x (+.f64 1 (neg.f64 x)))))) |
(+.f64 1 (-.f64 (-.f64 (/.f64 x eps) (*.f64 x eps)) (-.f64 (neg.f64 x) (-.f64 1 x)))) |
(+.f64 (/.f64 x eps) (-.f64 (-.f64 2 (-.f64 x x)) (*.f64 x eps))) |
(-.f64 (/.f64 x eps) (fma.f64 x eps -2)) |
(+.f64 2 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x))) |
(+.f64 1 (-.f64 (fma.f64 -1 (*.f64 x eps) (/.f64 x eps)) (*.f64 -1 (+.f64 x (+.f64 1 (neg.f64 x)))))) |
(+.f64 1 (-.f64 (-.f64 (/.f64 x eps) (*.f64 x eps)) (-.f64 (neg.f64 x) (-.f64 1 x)))) |
(+.f64 (/.f64 x eps) (-.f64 (-.f64 2 (-.f64 x x)) (*.f64 x eps))) |
(-.f64 (/.f64 x eps) (fma.f64 x eps -2)) |
(+.f64 2 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x))) |
(+.f64 1 (-.f64 (fma.f64 -1 (*.f64 x eps) (/.f64 x eps)) (*.f64 -1 (+.f64 x (+.f64 1 (neg.f64 x)))))) |
(+.f64 1 (-.f64 (-.f64 (/.f64 x eps) (*.f64 x eps)) (-.f64 (neg.f64 x) (-.f64 1 x)))) |
(+.f64 (/.f64 x eps) (-.f64 (-.f64 2 (-.f64 x x)) (*.f64 x eps))) |
(-.f64 (/.f64 x eps) (fma.f64 x eps -2)) |
(/.f64 1 eps) |
(+.f64 (/.f64 1 eps) 1) |
(+.f64 1 (/.f64 1 eps)) |
(/.f64 (+.f64 eps 1) eps) |
(+.f64 (/.f64 1 eps) 1) |
(+.f64 1 (/.f64 1 eps)) |
(/.f64 (+.f64 eps 1) eps) |
(+.f64 (/.f64 1 eps) 1) |
(+.f64 1 (/.f64 1 eps)) |
(/.f64 (+.f64 eps 1) eps) |
1 |
(+.f64 (/.f64 1 eps) 1) |
(+.f64 1 (/.f64 1 eps)) |
(/.f64 (+.f64 eps 1) eps) |
(+.f64 (/.f64 1 eps) 1) |
(+.f64 1 (/.f64 1 eps)) |
(/.f64 (+.f64 eps 1) eps) |
(+.f64 (/.f64 1 eps) 1) |
(+.f64 1 (/.f64 1 eps)) |
(/.f64 (+.f64 eps 1) eps) |
1 |
(+.f64 (/.f64 1 eps) 1) |
(+.f64 1 (/.f64 1 eps)) |
(/.f64 (+.f64 eps 1) eps) |
(+.f64 (/.f64 1 eps) 1) |
(+.f64 1 (/.f64 1 eps)) |
(/.f64 (+.f64 eps 1) eps) |
(+.f64 (/.f64 1 eps) 1) |
(+.f64 1 (/.f64 1 eps)) |
(/.f64 (+.f64 eps 1) eps) |
(*.f64 -1 (*.f64 (+.f64 1 eps) x)) |
(neg.f64 (*.f64 x (+.f64 eps 1))) |
(neg.f64 (fma.f64 x eps x)) |
(*.f64 x (-.f64 -1 eps)) |
(*.f64 -1 (*.f64 (+.f64 1 eps) x)) |
(neg.f64 (*.f64 x (+.f64 eps 1))) |
(neg.f64 (fma.f64 x eps x)) |
(*.f64 x (-.f64 -1 eps)) |
(*.f64 -1 (*.f64 (+.f64 1 eps) x)) |
(neg.f64 (*.f64 x (+.f64 eps 1))) |
(neg.f64 (fma.f64 x eps x)) |
(*.f64 x (-.f64 -1 eps)) |
(*.f64 -1 (*.f64 (+.f64 1 eps) x)) |
(neg.f64 (*.f64 x (+.f64 eps 1))) |
(neg.f64 (fma.f64 x eps x)) |
(*.f64 x (-.f64 -1 eps)) |
(*.f64 -1 (*.f64 (+.f64 eps 1) x)) |
(neg.f64 (*.f64 x (+.f64 eps 1))) |
(neg.f64 (fma.f64 x eps x)) |
(*.f64 x (-.f64 -1 eps)) |
(*.f64 -1 (*.f64 (+.f64 eps 1) x)) |
(neg.f64 (*.f64 x (+.f64 eps 1))) |
(neg.f64 (fma.f64 x eps x)) |
(*.f64 x (-.f64 -1 eps)) |
(*.f64 -1 (*.f64 (+.f64 eps 1) x)) |
(neg.f64 (*.f64 x (+.f64 eps 1))) |
(neg.f64 (fma.f64 x eps x)) |
(*.f64 x (-.f64 -1 eps)) |
(*.f64 -1 (*.f64 (+.f64 eps 1) x)) |
(neg.f64 (*.f64 x (+.f64 eps 1))) |
(neg.f64 (fma.f64 x eps x)) |
(*.f64 x (-.f64 -1 eps)) |
(*.f64 -1 (*.f64 (+.f64 1 eps) x)) |
(neg.f64 (*.f64 x (+.f64 eps 1))) |
(neg.f64 (fma.f64 x eps x)) |
(*.f64 x (-.f64 -1 eps)) |
(*.f64 -1 (*.f64 (+.f64 1 eps) x)) |
(neg.f64 (*.f64 x (+.f64 eps 1))) |
(neg.f64 (fma.f64 x eps x)) |
(*.f64 x (-.f64 -1 eps)) |
(*.f64 -1 (*.f64 (+.f64 1 eps) x)) |
(neg.f64 (*.f64 x (+.f64 eps 1))) |
(neg.f64 (fma.f64 x eps x)) |
(*.f64 x (-.f64 -1 eps)) |
(*.f64 -1 (*.f64 (+.f64 1 eps) x)) |
(neg.f64 (*.f64 x (+.f64 eps 1))) |
(neg.f64 (fma.f64 x eps x)) |
(*.f64 x (-.f64 -1 eps)) |
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x)) |
(neg.f64 (*.f64 x (+.f64 eps 1))) |
(neg.f64 (fma.f64 x eps x)) |
(*.f64 x (-.f64 -1 eps)) |
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x)) |
(neg.f64 (*.f64 x (+.f64 eps 1))) |
(neg.f64 (fma.f64 x eps x)) |
(*.f64 x (-.f64 -1 eps)) |
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x)) |
(neg.f64 (*.f64 x (+.f64 eps 1))) |
(neg.f64 (fma.f64 x eps x)) |
(*.f64 x (-.f64 -1 eps)) |
(*.f64 -1 (*.f64 eps x)) |
(neg.f64 (*.f64 x eps)) |
(*.f64 x (neg.f64 eps)) |
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x)) |
(neg.f64 (*.f64 x (+.f64 eps 1))) |
(neg.f64 (fma.f64 x eps x)) |
(*.f64 x (-.f64 -1 eps)) |
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x)) |
(neg.f64 (*.f64 x (+.f64 eps 1))) |
(neg.f64 (fma.f64 x eps x)) |
(*.f64 x (-.f64 -1 eps)) |
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x)) |
(neg.f64 (*.f64 x (+.f64 eps 1))) |
(neg.f64 (fma.f64 x eps x)) |
(*.f64 x (-.f64 -1 eps)) |
(*.f64 -1 (*.f64 eps x)) |
(neg.f64 (*.f64 x eps)) |
(*.f64 x (neg.f64 eps)) |
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x)) |
(neg.f64 (*.f64 x (+.f64 eps 1))) |
(neg.f64 (fma.f64 x eps x)) |
(*.f64 x (-.f64 -1 eps)) |
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x)) |
(neg.f64 (*.f64 x (+.f64 eps 1))) |
(neg.f64 (fma.f64 x eps x)) |
(*.f64 x (-.f64 -1 eps)) |
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x)) |
(neg.f64 (*.f64 x (+.f64 eps 1))) |
(neg.f64 (fma.f64 x eps x)) |
(*.f64 x (-.f64 -1 eps)) |
Compiled 14 to 10 computations (28.6% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (*.f64 (-.f64 eps 1) x) | |
| ✓ | 0.0b | (-.f64 (+.f64 1 (*.f64 (-.f64 eps 1) x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 x eps))))) |
| ✓ | 0.0b | (exp.f64 (neg.f64 (*.f64 x eps))) |
Compiled 73 to 38 computations (47.9% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | eps | @ | -inf | (exp.f64 (neg.f64 (*.f64 x eps))) |
| 1.0ms | x | @ | 0 | (exp.f64 (neg.f64 (*.f64 x eps))) |
| 1.0ms | eps | @ | 0 | (-.f64 (+.f64 1 (*.f64 (-.f64 eps 1) x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 x eps))))) |
| 0.0ms | x | @ | inf | (-.f64 (+.f64 1 (*.f64 (-.f64 eps 1) x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 x eps))))) |
| 0.0ms | eps | @ | inf | (-.f64 (+.f64 1 (*.f64 (-.f64 eps 1) x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 x eps))))) |
| 1× | batch-egg-rewrite |
| 645× | fma-def_binary64 |
| 599× | log-prod_binary64 |
| 305× | pow2_binary64 |
| 273× | fma-neg_binary64 |
| 210× | pow1/3_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 28 |
| 1 | 284 | 22 |
| 2 | 4118 | 22 |
| 1× | node limit |
| Inputs |
|---|
(exp.f64 (neg.f64 (*.f64 x eps))) |
(-.f64 (+.f64 1 (*.f64 (-.f64 eps 1) x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 x eps))))) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 655× | distribute-rgt-neg-in_binary64 |
| 565× | fma-neg_binary64 |
| 562× | distribute-lft-neg-in_binary64 |
| 390× | cancel-sign-sub-inv_binary64 |
| 367× | distribute-neg-in_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 710 |
| 1 | 158 | 648 |
| 2 | 464 | 634 |
| 3 | 1731 | 625 |
| 4 | 5228 | 612 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 (*.f64 -1 (*.f64 eps x)) 1) |
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 1 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))) |
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 1 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))))) |
(exp.f64 (neg.f64 (*.f64 eps x))) |
(exp.f64 (neg.f64 (*.f64 eps x))) |
(exp.f64 (neg.f64 (*.f64 eps x))) |
(exp.f64 (neg.f64 (*.f64 eps x))) |
(exp.f64 (neg.f64 (*.f64 eps x))) |
(exp.f64 (neg.f64 (*.f64 eps x))) |
(exp.f64 (neg.f64 (*.f64 eps x))) |
(exp.f64 (neg.f64 (*.f64 eps x))) |
1 |
(+.f64 (*.f64 -1 (*.f64 eps x)) 1) |
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 1 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))) |
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 1 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))))) |
(exp.f64 (neg.f64 (*.f64 eps x))) |
(exp.f64 (neg.f64 (*.f64 eps x))) |
(exp.f64 (neg.f64 (*.f64 eps x))) |
(exp.f64 (neg.f64 (*.f64 eps x))) |
(exp.f64 (neg.f64 (*.f64 eps x))) |
(exp.f64 (neg.f64 (*.f64 eps x))) |
(exp.f64 (neg.f64 (*.f64 eps x))) |
(exp.f64 (neg.f64 (*.f64 eps x))) |
(+.f64 2 (*.f64 -1 x)) |
(+.f64 2 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))) (*.f64 -1 x))) |
(+.f64 2 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3))) (*.f64 -1 x)))) |
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (pow.f64 x 4))) (+.f64 2 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3))) (*.f64 -1 x))))) |
(*.f64 eps x) |
(-.f64 (+.f64 1 (+.f64 (*.f64 eps x) (*.f64 -1 x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x))))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 eps x) (*.f64 -1 x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x))))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 eps x) (*.f64 -1 x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x))))) |
(*.f64 eps x) |
(-.f64 (+.f64 1 (+.f64 (*.f64 eps x) (*.f64 -1 x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x))))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 eps x) (*.f64 -1 x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x))))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 eps x) (*.f64 -1 x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x))))) |
2 |
(+.f64 2 (*.f64 -1 x)) |
(+.f64 2 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))) (*.f64 -1 x))) |
(+.f64 2 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))) (*.f64 -1 x)))) |
(*.f64 (-.f64 eps 1) x) |
(-.f64 (+.f64 1 (*.f64 (-.f64 eps 1) x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x))))) |
(-.f64 (+.f64 1 (*.f64 (-.f64 eps 1) x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x))))) |
(-.f64 (+.f64 1 (*.f64 (-.f64 eps 1) x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x))))) |
(*.f64 (-.f64 eps 1) x) |
(-.f64 (+.f64 1 (*.f64 (-.f64 eps 1) x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x))))) |
(-.f64 (+.f64 1 (*.f64 (-.f64 eps 1) x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x))))) |
(-.f64 (+.f64 1 (*.f64 (-.f64 eps 1) x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x))))) |
| Outputs |
|---|
1 |
(+.f64 (*.f64 -1 (*.f64 eps x)) 1) |
(fma.f64 -1 (*.f64 eps x) 1) |
(-.f64 1 (*.f64 eps x)) |
(fma.f64 eps (neg.f64 x) 1) |
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 1 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))) |
(+.f64 (fma.f64 -1 (*.f64 eps x) 1) (*.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 x x)))) |
(-.f64 (fma.f64 1/2 (*.f64 (*.f64 eps x) (*.f64 eps x)) 1) (*.f64 eps x)) |
(fma.f64 (*.f64 eps eps) (*.f64 x (*.f64 x 1/2)) (-.f64 1 (*.f64 eps x))) |
(-.f64 1 (*.f64 eps (-.f64 x (*.f64 eps (*.f64 1/2 (*.f64 x x)))))) |
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 1 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))))) |
(+.f64 (fma.f64 -1 (*.f64 eps x) 1) (fma.f64 -1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3)) (*.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 x x))))) |
(+.f64 (-.f64 1 (*.f64 eps x)) (fma.f64 -1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3)) (*.f64 1/2 (*.f64 (*.f64 eps x) (*.f64 eps x))))) |
(-.f64 (fma.f64 1/2 (*.f64 x (*.f64 eps (*.f64 eps x))) (fma.f64 -1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3)) 1)) (*.f64 eps x)) |
(+.f64 1 (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 1/2 (*.f64 eps eps)) (*.f64 x (*.f64 -1/6 (pow.f64 eps 3))))) eps))) |
(+.f64 (fma.f64 -1/6 (pow.f64 (*.f64 eps x) 3) 1) (*.f64 eps (-.f64 (*.f64 1/2 (*.f64 eps (*.f64 x x))) x))) |
(exp.f64 (neg.f64 (*.f64 eps x))) |
(pow.f64 (exp.f64 eps) (neg.f64 x)) |
(exp.f64 (neg.f64 (*.f64 eps x))) |
(pow.f64 (exp.f64 eps) (neg.f64 x)) |
(exp.f64 (neg.f64 (*.f64 eps x))) |
(pow.f64 (exp.f64 eps) (neg.f64 x)) |
(exp.f64 (neg.f64 (*.f64 eps x))) |
(pow.f64 (exp.f64 eps) (neg.f64 x)) |
(exp.f64 (neg.f64 (*.f64 eps x))) |
(pow.f64 (exp.f64 eps) (neg.f64 x)) |
(exp.f64 (neg.f64 (*.f64 eps x))) |
(pow.f64 (exp.f64 eps) (neg.f64 x)) |
(exp.f64 (neg.f64 (*.f64 eps x))) |
(pow.f64 (exp.f64 eps) (neg.f64 x)) |
(exp.f64 (neg.f64 (*.f64 eps x))) |
(pow.f64 (exp.f64 eps) (neg.f64 x)) |
1 |
(+.f64 (*.f64 -1 (*.f64 eps x)) 1) |
(fma.f64 -1 (*.f64 eps x) 1) |
(-.f64 1 (*.f64 eps x)) |
(fma.f64 eps (neg.f64 x) 1) |
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 1 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))) |
(+.f64 (fma.f64 -1 (*.f64 eps x) 1) (*.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 x x)))) |
(-.f64 (fma.f64 1/2 (*.f64 (*.f64 eps x) (*.f64 eps x)) 1) (*.f64 eps x)) |
(fma.f64 (*.f64 eps eps) (*.f64 x (*.f64 x 1/2)) (-.f64 1 (*.f64 eps x))) |
(-.f64 1 (*.f64 eps (-.f64 x (*.f64 eps (*.f64 1/2 (*.f64 x x)))))) |
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 1 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))))) |
(+.f64 (fma.f64 -1 (*.f64 eps x) 1) (fma.f64 -1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3)) (*.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 x x))))) |
(+.f64 (-.f64 1 (*.f64 eps x)) (fma.f64 -1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3)) (*.f64 1/2 (*.f64 (*.f64 eps x) (*.f64 eps x))))) |
(-.f64 (fma.f64 1/2 (*.f64 x (*.f64 eps (*.f64 eps x))) (fma.f64 -1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3)) 1)) (*.f64 eps x)) |
(+.f64 1 (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 1/2 (*.f64 eps eps)) (*.f64 x (*.f64 -1/6 (pow.f64 eps 3))))) eps))) |
(+.f64 (fma.f64 -1/6 (pow.f64 (*.f64 eps x) 3) 1) (*.f64 eps (-.f64 (*.f64 1/2 (*.f64 eps (*.f64 x x))) x))) |
(exp.f64 (neg.f64 (*.f64 eps x))) |
(pow.f64 (exp.f64 eps) (neg.f64 x)) |
(exp.f64 (neg.f64 (*.f64 eps x))) |
(pow.f64 (exp.f64 eps) (neg.f64 x)) |
(exp.f64 (neg.f64 (*.f64 eps x))) |
(pow.f64 (exp.f64 eps) (neg.f64 x)) |
(exp.f64 (neg.f64 (*.f64 eps x))) |
(pow.f64 (exp.f64 eps) (neg.f64 x)) |
(exp.f64 (neg.f64 (*.f64 eps x))) |
(pow.f64 (exp.f64 eps) (neg.f64 x)) |
(exp.f64 (neg.f64 (*.f64 eps x))) |
(pow.f64 (exp.f64 eps) (neg.f64 x)) |
(exp.f64 (neg.f64 (*.f64 eps x))) |
(pow.f64 (exp.f64 eps) (neg.f64 x)) |
(exp.f64 (neg.f64 (*.f64 eps x))) |
(pow.f64 (exp.f64 eps) (neg.f64 x)) |
(+.f64 2 (*.f64 -1 x)) |
(+.f64 2 (neg.f64 x)) |
(-.f64 2 x) |
(+.f64 2 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))) (*.f64 -1 x))) |
(+.f64 2 (fma.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 x x)) (neg.f64 x))) |
(+.f64 2 (-.f64 (*.f64 1/2 (*.f64 (*.f64 eps x) (*.f64 eps x))) x)) |
(-.f64 (fma.f64 1/2 (*.f64 x (*.f64 eps (*.f64 eps x))) 2) x) |
(fma.f64 eps (*.f64 eps (*.f64 1/2 (*.f64 x x))) (-.f64 2 x)) |
(+.f64 2 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3))) (*.f64 -1 x)))) |
(+.f64 2 (fma.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 x x)) (fma.f64 -1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3)) (neg.f64 x)))) |
(+.f64 (fma.f64 -1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3)) (*.f64 1/2 (*.f64 (*.f64 eps x) (*.f64 eps x)))) (-.f64 2 x)) |
(fma.f64 1/2 (*.f64 x (*.f64 eps (*.f64 eps x))) (-.f64 (fma.f64 -1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3)) 2) x)) |
(fma.f64 (*.f64 x x) (+.f64 (*.f64 1/2 (*.f64 eps eps)) (*.f64 x (*.f64 -1/6 (pow.f64 eps 3)))) (-.f64 2 x)) |
(fma.f64 -1/6 (pow.f64 (*.f64 eps x) 3) (fma.f64 eps (*.f64 eps (*.f64 1/2 (*.f64 x x))) (-.f64 2 x))) |
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (pow.f64 x 4))) (+.f64 2 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3))) (*.f64 -1 x))))) |
(fma.f64 1/24 (*.f64 (pow.f64 eps 4) (pow.f64 x 4)) (+.f64 2 (fma.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 x x)) (fma.f64 -1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3)) (neg.f64 x))))) |
(fma.f64 1/24 (*.f64 (pow.f64 eps 4) (pow.f64 x 4)) (+.f64 (fma.f64 -1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3)) (*.f64 1/2 (*.f64 (*.f64 eps x) (*.f64 eps x)))) (-.f64 2 x))) |
(fma.f64 1/24 (*.f64 (pow.f64 eps 4) (pow.f64 x 4)) (fma.f64 1/2 (*.f64 x (*.f64 eps (*.f64 eps x))) (-.f64 (fma.f64 -1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3)) 2) x))) |
(fma.f64 1/24 (*.f64 (pow.f64 eps 4) (pow.f64 x 4)) (fma.f64 (*.f64 x x) (+.f64 (*.f64 1/2 (*.f64 eps eps)) (*.f64 x (*.f64 -1/6 (pow.f64 eps 3)))) (-.f64 2 x))) |
(fma.f64 1/24 (pow.f64 (*.f64 eps x) 4) (fma.f64 -1/6 (pow.f64 (*.f64 eps x) 3) (fma.f64 eps (*.f64 eps (*.f64 1/2 (*.f64 x x))) (-.f64 2 x)))) |
(*.f64 eps x) |
(-.f64 (+.f64 1 (+.f64 (*.f64 eps x) (*.f64 -1 x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x))))) |
(-.f64 (+.f64 1 (*.f64 x (+.f64 eps -1))) (neg.f64 (exp.f64 (neg.f64 (*.f64 eps x))))) |
(+.f64 (pow.f64 (exp.f64 eps) (neg.f64 x)) (fma.f64 x (+.f64 -1 eps) 1)) |
(+.f64 (pow.f64 (exp.f64 eps) (neg.f64 x)) (fma.f64 eps x (-.f64 1 x))) |
(+.f64 1 (fma.f64 eps x (-.f64 (pow.f64 (exp.f64 eps) (neg.f64 x)) x))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 eps x) (*.f64 -1 x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x))))) |
(-.f64 (+.f64 1 (*.f64 x (+.f64 eps -1))) (neg.f64 (exp.f64 (neg.f64 (*.f64 eps x))))) |
(+.f64 (pow.f64 (exp.f64 eps) (neg.f64 x)) (fma.f64 x (+.f64 -1 eps) 1)) |
(+.f64 (pow.f64 (exp.f64 eps) (neg.f64 x)) (fma.f64 eps x (-.f64 1 x))) |
(+.f64 1 (fma.f64 eps x (-.f64 (pow.f64 (exp.f64 eps) (neg.f64 x)) x))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 eps x) (*.f64 -1 x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x))))) |
(-.f64 (+.f64 1 (*.f64 x (+.f64 eps -1))) (neg.f64 (exp.f64 (neg.f64 (*.f64 eps x))))) |
(+.f64 (pow.f64 (exp.f64 eps) (neg.f64 x)) (fma.f64 x (+.f64 -1 eps) 1)) |
(+.f64 (pow.f64 (exp.f64 eps) (neg.f64 x)) (fma.f64 eps x (-.f64 1 x))) |
(+.f64 1 (fma.f64 eps x (-.f64 (pow.f64 (exp.f64 eps) (neg.f64 x)) x))) |
(*.f64 eps x) |
(-.f64 (+.f64 1 (+.f64 (*.f64 eps x) (*.f64 -1 x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x))))) |
(-.f64 (+.f64 1 (*.f64 x (+.f64 eps -1))) (neg.f64 (exp.f64 (neg.f64 (*.f64 eps x))))) |
(+.f64 (pow.f64 (exp.f64 eps) (neg.f64 x)) (fma.f64 x (+.f64 -1 eps) 1)) |
(+.f64 (pow.f64 (exp.f64 eps) (neg.f64 x)) (fma.f64 eps x (-.f64 1 x))) |
(+.f64 1 (fma.f64 eps x (-.f64 (pow.f64 (exp.f64 eps) (neg.f64 x)) x))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 eps x) (*.f64 -1 x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x))))) |
(-.f64 (+.f64 1 (*.f64 x (+.f64 eps -1))) (neg.f64 (exp.f64 (neg.f64 (*.f64 eps x))))) |
(+.f64 (pow.f64 (exp.f64 eps) (neg.f64 x)) (fma.f64 x (+.f64 -1 eps) 1)) |
(+.f64 (pow.f64 (exp.f64 eps) (neg.f64 x)) (fma.f64 eps x (-.f64 1 x))) |
(+.f64 1 (fma.f64 eps x (-.f64 (pow.f64 (exp.f64 eps) (neg.f64 x)) x))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 eps x) (*.f64 -1 x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x))))) |
(-.f64 (+.f64 1 (*.f64 x (+.f64 eps -1))) (neg.f64 (exp.f64 (neg.f64 (*.f64 eps x))))) |
(+.f64 (pow.f64 (exp.f64 eps) (neg.f64 x)) (fma.f64 x (+.f64 -1 eps) 1)) |
(+.f64 (pow.f64 (exp.f64 eps) (neg.f64 x)) (fma.f64 eps x (-.f64 1 x))) |
(+.f64 1 (fma.f64 eps x (-.f64 (pow.f64 (exp.f64 eps) (neg.f64 x)) x))) |
2 |
(+.f64 2 (*.f64 -1 x)) |
(+.f64 2 (neg.f64 x)) |
(-.f64 2 x) |
(+.f64 2 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))) (*.f64 -1 x))) |
(+.f64 2 (fma.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 x x)) (neg.f64 x))) |
(+.f64 2 (-.f64 (*.f64 1/2 (*.f64 (*.f64 eps x) (*.f64 eps x))) x)) |
(-.f64 (fma.f64 1/2 (*.f64 x (*.f64 eps (*.f64 eps x))) 2) x) |
(fma.f64 eps (*.f64 eps (*.f64 1/2 (*.f64 x x))) (-.f64 2 x)) |
(+.f64 2 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))) (*.f64 -1 x)))) |
(+.f64 2 (fma.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 x x)) (fma.f64 -1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3)) (neg.f64 x)))) |
(+.f64 (fma.f64 -1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3)) (*.f64 1/2 (*.f64 (*.f64 eps x) (*.f64 eps x)))) (-.f64 2 x)) |
(fma.f64 1/2 (*.f64 x (*.f64 eps (*.f64 eps x))) (-.f64 (fma.f64 -1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3)) 2) x)) |
(fma.f64 (*.f64 x x) (+.f64 (*.f64 1/2 (*.f64 eps eps)) (*.f64 x (*.f64 -1/6 (pow.f64 eps 3)))) (-.f64 2 x)) |
(fma.f64 -1/6 (pow.f64 (*.f64 eps x) 3) (fma.f64 eps (*.f64 eps (*.f64 1/2 (*.f64 x x))) (-.f64 2 x))) |
(*.f64 (-.f64 eps 1) x) |
(*.f64 x (+.f64 eps -1)) |
(-.f64 (*.f64 eps x) x) |
(*.f64 x (+.f64 -1 eps)) |
(-.f64 (+.f64 1 (*.f64 (-.f64 eps 1) x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x))))) |
(-.f64 (+.f64 1 (*.f64 x (+.f64 eps -1))) (neg.f64 (exp.f64 (neg.f64 (*.f64 eps x))))) |
(+.f64 (pow.f64 (exp.f64 eps) (neg.f64 x)) (fma.f64 x (+.f64 -1 eps) 1)) |
(+.f64 (pow.f64 (exp.f64 eps) (neg.f64 x)) (fma.f64 eps x (-.f64 1 x))) |
(+.f64 1 (fma.f64 eps x (-.f64 (pow.f64 (exp.f64 eps) (neg.f64 x)) x))) |
(-.f64 (+.f64 1 (*.f64 (-.f64 eps 1) x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x))))) |
(-.f64 (+.f64 1 (*.f64 x (+.f64 eps -1))) (neg.f64 (exp.f64 (neg.f64 (*.f64 eps x))))) |
(+.f64 (pow.f64 (exp.f64 eps) (neg.f64 x)) (fma.f64 x (+.f64 -1 eps) 1)) |
(+.f64 (pow.f64 (exp.f64 eps) (neg.f64 x)) (fma.f64 eps x (-.f64 1 x))) |
(+.f64 1 (fma.f64 eps x (-.f64 (pow.f64 (exp.f64 eps) (neg.f64 x)) x))) |
(-.f64 (+.f64 1 (*.f64 (-.f64 eps 1) x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x))))) |
(-.f64 (+.f64 1 (*.f64 x (+.f64 eps -1))) (neg.f64 (exp.f64 (neg.f64 (*.f64 eps x))))) |
(+.f64 (pow.f64 (exp.f64 eps) (neg.f64 x)) (fma.f64 x (+.f64 -1 eps) 1)) |
(+.f64 (pow.f64 (exp.f64 eps) (neg.f64 x)) (fma.f64 eps x (-.f64 1 x))) |
(+.f64 1 (fma.f64 eps x (-.f64 (pow.f64 (exp.f64 eps) (neg.f64 x)) x))) |
(*.f64 (-.f64 eps 1) x) |
(*.f64 x (+.f64 eps -1)) |
(-.f64 (*.f64 eps x) x) |
(*.f64 x (+.f64 -1 eps)) |
(-.f64 (+.f64 1 (*.f64 (-.f64 eps 1) x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x))))) |
(-.f64 (+.f64 1 (*.f64 x (+.f64 eps -1))) (neg.f64 (exp.f64 (neg.f64 (*.f64 eps x))))) |
(+.f64 (pow.f64 (exp.f64 eps) (neg.f64 x)) (fma.f64 x (+.f64 -1 eps) 1)) |
(+.f64 (pow.f64 (exp.f64 eps) (neg.f64 x)) (fma.f64 eps x (-.f64 1 x))) |
(+.f64 1 (fma.f64 eps x (-.f64 (pow.f64 (exp.f64 eps) (neg.f64 x)) x))) |
(-.f64 (+.f64 1 (*.f64 (-.f64 eps 1) x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x))))) |
(-.f64 (+.f64 1 (*.f64 x (+.f64 eps -1))) (neg.f64 (exp.f64 (neg.f64 (*.f64 eps x))))) |
(+.f64 (pow.f64 (exp.f64 eps) (neg.f64 x)) (fma.f64 x (+.f64 -1 eps) 1)) |
(+.f64 (pow.f64 (exp.f64 eps) (neg.f64 x)) (fma.f64 eps x (-.f64 1 x))) |
(+.f64 1 (fma.f64 eps x (-.f64 (pow.f64 (exp.f64 eps) (neg.f64 x)) x))) |
(-.f64 (+.f64 1 (*.f64 (-.f64 eps 1) x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x))))) |
(-.f64 (+.f64 1 (*.f64 x (+.f64 eps -1))) (neg.f64 (exp.f64 (neg.f64 (*.f64 eps x))))) |
(+.f64 (pow.f64 (exp.f64 eps) (neg.f64 x)) (fma.f64 x (+.f64 -1 eps) 1)) |
(+.f64 (pow.f64 (exp.f64 eps) (neg.f64 x)) (fma.f64 eps x (-.f64 1 x))) |
(+.f64 1 (fma.f64 eps x (-.f64 (pow.f64 (exp.f64 eps) (neg.f64 x)) x))) |
Compiled 14532 to 10058 computations (30.8% saved)
15 alts after pruning (9 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 568 | 2 | 570 |
| Fresh | 1 | 7 | 8 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 5 | 6 |
| Total | 570 | 15 | 585 |
| Status | Error | Program |
|---|---|---|
| 27.1b | (/.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2) | |
| ✓ | 19.8b | (fma.f64 x (*.f64 -1/2 x) 1) |
| ✓ | 43.6b | (*.f64 1/2 0) |
| 19.7b | 1 | |
| ✓ | 20.1b | (/.f64 (-.f64 (+.f64 1 (*.f64 (-.f64 eps 1) x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 x eps))))) 2) |
| 15.2b | (/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 x eps))))) 2) | |
| ✓ | 0.7b | (/.f64 (*.f64 2 (/.f64 (+.f64 x 1) (exp.f64 x))) 2) |
| 20.3b | (/.f64 (-.f64 1 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))))) 2) | |
| 20.4b | (/.f64 (-.f64 (+.f64 1 (*.f64 (-.f64 eps 1) x)) (*.f64 -1 (-.f64 1 (*.f64 eps (-.f64 x (*.f64 eps (*.f64 1/2 (*.f64 x x)))))))) 2) | |
| 61.8b | (/.f64 (*.f64 (neg.f64 x) eps) 2) | |
| ✓ | 62.5b | (*.f64 -1/2 (*.f64 x x)) |
| 47.4b | (/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (+.f64 (*.f64 eps x) -1)) 2) | |
| 61.1b | (/.f64 (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x)))) 3) 2) | |
| ✓ | 0.9b | (/.f64 (*.f64 2 (exp.f64 (-.f64 (log1p.f64 x) x))) 2) |
| 20.2b | (/.f64 (-.f64 2 (*.f64 x eps)) 2) |
Compiled 227 to 180 computations (20.7% saved)
| Inputs |
|---|
1 |
(*.f64 1/2 0) |
(/.f64 2 2) |
(*.f64 -1/2 (*.f64 x x)) |
(/.f64 (*.f64 (neg.f64 x) eps) 2) |
(/.f64 (-.f64 2 (*.f64 x eps)) 2) |
(/.f64 (-.f64 (/.f64 (+.f64 eps 1) eps) (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 (*.f64 x (-.f64 -1 eps)) 1))) 2) |
(/.f64 (-.f64 (+.f64 1 (*.f64 (-.f64 eps 1) x)) (*.f64 -1 (-.f64 1 (*.f64 eps (-.f64 x (*.f64 eps (*.f64 1/2 (*.f64 x x)))))))) 2) |
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 eps 1) x))) (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x)))))) 2) |
(fma.f64 x (*.f64 -1/2 x) 1) |
(*.f64 1/2 (neg.f64 (fma.f64 x x -2))) |
(/.f64 (*.f64 2 (/.f64 x (exp.f64 x))) 2) |
(/.f64 (*.f64 2 (/.f64 (+.f64 x 1) (exp.f64 x))) 2) |
(/.f64 (*.f64 2 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 x -1))) 2) |
(/.f64 (-.f64 1 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))))) 2) |
(/.f64 (-.f64 (+.f64 1 (*.f64 (-.f64 eps 1) x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 x eps))))) 2) |
(/.f64 (-.f64 (+.f64 1 (*.f64 (-.f64 eps 1) x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))))) 2) |
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (+.f64 (*.f64 eps x) -1)) 2) |
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (+.f64 1 (*.f64 -1 (*.f64 (+.f64 1 eps) x))))) 2) |
(/.f64 (-.f64 (/.f64 (+.f64 eps 1) eps) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2) |
(/.f64 (-.f64 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x))))) 2) |
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 (*.f64 x (-.f64 -1 eps)) 1))) 2) |
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 eps 1) x))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2) |
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x)))))) 2) |
(/.f64 (*.f64 2 (exp.f64 (-.f64 (log1p.f64 x) x))) 2) |
(*.f64 1/2 (+.f64 (/.f64 x (exp.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 2 x)))) |
(/.f64 (*.f64 2 (/.f64 (fma.f64 x x -1) (*.f64 (exp.f64 x) (+.f64 x -1)))) 2) |
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 x eps))))) 2) |
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))))) 2) |
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2) |
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2) |
(*.f64 1/2 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))))) |
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x)))) 3) 2) |
| Outputs |
|---|
(/.f64 (*.f64 2 (/.f64 (+.f64 x 1) (exp.f64 x))) 2) |
6 calls:
| 17.0ms | eps |
| 15.0ms | x |
| 6.0ms | (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) |
| 4.0ms | (/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2) |
| 4.0ms | (/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2) |
| Error | Segments | Branch |
|---|---|---|
| 0.7b | 1 | x |
| 0.7b | 1 | eps |
| 0.7b | 1 | (/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2) |
| 0.7b | 1 | (/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2) |
| 0.7b | 1 | (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) |
| 0.7b | 1 | (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) |
Compiled 685 to 514 computations (25% saved)
| Inputs |
|---|
1 |
(*.f64 1/2 0) |
(/.f64 2 2) |
(*.f64 -1/2 (*.f64 x x)) |
(/.f64 (*.f64 (neg.f64 x) eps) 2) |
(/.f64 (-.f64 2 (*.f64 x eps)) 2) |
(/.f64 (-.f64 (/.f64 (+.f64 eps 1) eps) (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 (*.f64 x (-.f64 -1 eps)) 1))) 2) |
(/.f64 (-.f64 (+.f64 1 (*.f64 (-.f64 eps 1) x)) (*.f64 -1 (-.f64 1 (*.f64 eps (-.f64 x (*.f64 eps (*.f64 1/2 (*.f64 x x)))))))) 2) |
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 eps 1) x))) (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x)))))) 2) |
(fma.f64 x (*.f64 -1/2 x) 1) |
(*.f64 1/2 (neg.f64 (fma.f64 x x -2))) |
(/.f64 (*.f64 2 (/.f64 x (exp.f64 x))) 2) |
| Outputs |
|---|
(fma.f64 x (*.f64 -1/2 x) 1) |
(*.f64 1/2 0) |
2 calls:
| 39.0ms | eps |
| 14.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 1.0b | 2 | x |
| 15.3b | 5 | eps |
Compiled 131 to 97 computations (26% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 257.0ms | 0.0004134114976087833 | 374131313.03866494 |
Compiled 186 to 159 computations (14.5% saved)
Total -61.6b remaining (-4792.9%)
Threshold costs -61.6b (-4792.9%)
| Inputs |
|---|
1 |
(*.f64 1/2 0) |
(/.f64 2 2) |
(*.f64 -1/2 (*.f64 x x)) |
(/.f64 (*.f64 (neg.f64 x) eps) 2) |
(/.f64 (-.f64 2 (*.f64 x eps)) 2) |
(/.f64 (-.f64 (/.f64 (+.f64 eps 1) eps) (*.f64 (+.f64 -1 (/.f64 1 eps)) (+.f64 (*.f64 x (-.f64 -1 eps)) 1))) 2) |
(/.f64 (-.f64 (+.f64 1 (*.f64 (-.f64 eps 1) x)) (*.f64 -1 (-.f64 1 (*.f64 eps (-.f64 x (*.f64 eps (*.f64 1/2 (*.f64 x x)))))))) 2) |
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 (-.f64 eps 1) x))) (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1 x) (*.f64 -1 (+.f64 1 (*.f64 -1 x)))))) 2) |
| Outputs |
|---|
1 |
(*.f64 1/2 0) |
2 calls:
| 64.0ms | eps |
| 22.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 1.3b | 2 | x |
| 15.3b | 5 | eps |
Compiled 110 to 82 computations (25.5% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 255.0ms | 0.0004134114976087833 | 374131313.03866494 |
Compiled 136 to 129 computations (5.1% saved)
| 1× | egg-herbie |
| 2× | *-commutative_binary64 |
| 1× | +-commutative_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 39 |
| 1 | 26 | 39 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 2 (/.f64 (+.f64 x 1) (exp.f64 x))) 2) |
(if (<=.f64 x 799388933858263/562949953421312) (fma.f64 x (*.f64 -1/2 x) 1) (*.f64 1/2 0)) |
(if (<=.f64 x 370000000) 1 (*.f64 1/2 0)) |
1 |
| Outputs |
|---|
(/.f64 (*.f64 2 (/.f64 (+.f64 x 1) (exp.f64 x))) 2) |
(if (<=.f64 x 799388933858263/562949953421312) (fma.f64 x (*.f64 -1/2 x) 1) (*.f64 1/2 0)) |
(if (<=.f64 x 799388933858263/562949953421312) (fma.f64 x (*.f64 x -1/2) 1) 0) |
(if (<=.f64 x 370000000) 1 (*.f64 1/2 0)) |
(if (<=.f64 x 370000000) 1 0) |
1 |
Compiled 36 to 30 computations (16.7% saved)
| 1× | egg-herbie |
| 627× | distribute-rgt-in_binary64 |
| 608× | distribute-lft-in_binary64 |
| 432× | cancel-sign-sub-inv_binary64 |
| 228× | associate--l+_binary64 |
| 222× | fma-def_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 226 | 3185 |
| 1 | 775 | 2801 |
| 2 | 2869 | 2303 |
| 1× | node limit |
Compiled 241 to 139 computations (42.3% saved)
Compiled 30 to 24 computations (20% saved)
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