Time bar (total: 11.6s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 5 |
| 0% | 0% | 87.4% | 0.1% | 12.5% | 0% | 0% | 6 |
| 25.5% | 20.3% | 59.3% | 0.1% | 18.7% | 0% | 1.6% | 7 |
| 29% | 21.1% | 51.5% | 0.1% | 25% | 0% | 2.3% | 8 |
| 53.8% | 35.5% | 30.4% | 0.1% | 28.1% | 0% | 5.9% | 9 |
| 57.7% | 35.7% | 26.1% | 0.1% | 31.2% | 0% | 6.8% | 10 |
| 73.5% | 42.8% | 15.4% | 0.1% | 32.8% | 0% | 8.9% | 11 |
| 76.5% | 42.9% | 13.2% | 0.1% | 34.3% | 0% | 9.5% | 12 |
Compiled 32 to 26 computations (18.8% saved)
| 1.9s | 2062× | body | 1024 | valid |
| 1.3s | 4933× | body | 256 | valid |
| 632.0ms | 1051× | body | 512 | valid |
| 289.0ms | 210× | body | 2048 | valid |
| 103.0ms | 493× | body | 256 | infinite |
| 88.0ms | 412× | body | 256 | unsamplable |
| 10.0ms | 13× | body | 1024 | infinite |
| 6.0ms | 14× | body | 512 | infinite |
| 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 |
|---|---|---|
| ▶ | 28.6b | (/.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) |
| ▶ | 29.6b | (*.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 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 | |
|---|---|---|---|---|
| 28.0ms | 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)))) |
| 25.0ms | 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)))) |
| 2.0ms | 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)))) |
| 2.0ms | 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)))) |
| 1.0ms | eps | @ | 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)))) |
| 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 | (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))) |
| ✓ | 0.0b | (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) |
| ✓ | 0.0b | (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))) |
| ✓ | 2.2b | (-.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 | @ | 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 | @ | 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 | eps | @ | -inf | (*.f64 (-.f64 (/.f64 1 eps) 1) (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 | 84 |
| 1 | 412 | 73 |
| 2 | 5981 | 73 |
| 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))))) |
(exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))) |
(exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) |
(*.f64 (-.f64 (/.f64 1 eps) 1) (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 (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))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 eps) (pow.f64 (exp.f64 (+.f64 1 eps)) x)) (neg.f64 (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)) (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 eps -3) -1) (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (+.f64 (+.f64 (pow.f64 eps -2) 1) (/.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 eps -2) -1) (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (+.f64 1 (/.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 eps -3) -1) 1) (*.f64 (+.f64 (+.f64 (pow.f64 eps -2) 1) (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 1 eps)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 eps -2) -1) 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 (pow.f64 eps -3) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x)) (+.f64 (+.f64 (pow.f64 eps -2) 1) (/.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 eps -2) -1) (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 (pow.f64 eps -3) -1)) (+.f64 (+.f64 (pow.f64 eps -2) 1) (/.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x) (+.f64 (pow.f64 eps -2) -1)) (+.f64 1 (/.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 1 eps) -1)) (pow.f64 (exp.f64 (+.f64 1 eps)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (+.f64 x (*.f64 eps x)) (log.f64 (+.f64 (/.f64 1 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (+.f64 x (*.f64 eps x)) (log.f64 (+.f64 (/.f64 1 eps) -1))) 1)))))) |
| 1× | egg-herbie |
| 589× | distribute-rgt-in_binary64 |
| 573× | distribute-lft-in_binary64 |
| 460× | cancel-sign-sub-inv_binary64 |
| 244× | fma-def_binary64 |
| 238× | associate--l+_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 226 | 2808 |
| 1 | 784 | 2503 |
| 2 | 2828 | 2100 |
| 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))))) |
(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 eps 1) x))) |
(exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))) |
(exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))) |
(exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) 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 eps 1) x))) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (pow.f64 x 2))))) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) 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)))))) |
(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 eps 1) x))) |
(exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))) |
(exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))) |
(exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) 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)) |
(/.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)) |
| 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 (exp.f64 (neg.f64 x)) (-.f64 (*.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 1/6 (/.f64 (pow.f64 x 3) (exp.f64 x)) (+.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 1/24 (exp.f64 x)) (pow.f64 x 4) (*.f64 (pow.f64 x 5) (/.f64 1/120 (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 5) 1/120) (exp.f64 x)) (*.f64 (/.f64 (pow.f64 x 4) (exp.f64 x)) 1/12))) (fma.f64 (*.f64 eps eps) (fma.f64 1/6 (/.f64 (pow.f64 x 3) (exp.f64 x)) (+.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 1/24 (exp.f64 x)) (pow.f64 x 4) (*.f64 (pow.f64 x 5) (/.f64 1/120 (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 1/720 (exp.f64 x)) (pow.f64 x 6) (*.f64 (pow.f64 x 7) (/.f64 1/5040 (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))))) |
(+.f64 (fma.f64 (pow.f64 eps 4) (fma.f64 1/120 (/.f64 (pow.f64 x 5) (exp.f64 x)) (+.f64 (/.f64 (*.f64 (pow.f64 x 5) 1/120) (exp.f64 x)) (*.f64 (/.f64 (pow.f64 x 4) (exp.f64 x)) 1/12))) (*.f64 (fma.f64 1/720 (/.f64 (pow.f64 x 6) (exp.f64 x)) (+.f64 (*.f64 1/720 (/.f64 (pow.f64 x 6) (exp.f64 x))) (*.f64 (/.f64 (pow.f64 x 7) (exp.f64 x)) 1/2520))) (pow.f64 eps 6))) (fma.f64 (*.f64 eps eps) (fma.f64 1/6 (/.f64 (pow.f64 x 3) (exp.f64 x)) (+.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 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))))) |
(-.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))))) |
(+.f64 (pow.f64 (exp.f64 (-.f64 eps 1)) x) (exp.f64 (neg.f64 (fma.f64 x eps x)))) |
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(-.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))) |
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(-.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 eps 1)) x) eps) (pow.f64 (exp.f64 (-.f64 eps 1)) x)) (-.f64 (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps) (exp.f64 (neg.f64 (fma.f64 x eps x))))) |
(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))) |
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(-.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 eps 1)) x) eps) (pow.f64 (exp.f64 (-.f64 eps 1)) x)) (-.f64 (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps) (exp.f64 (neg.f64 (fma.f64 x eps x))))) |
(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))) |
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(-.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 eps 1)) x) eps) (pow.f64 (exp.f64 (-.f64 eps 1)) x)) (-.f64 (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps) (exp.f64 (neg.f64 (fma.f64 x eps x))))) |
(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 (pow.f64 (exp.f64 (-.f64 eps 1)) x) (exp.f64 (neg.f64 (fma.f64 x eps x)))) |
(+.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)) (exp.f64 (*.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 (pow.f64 (exp.f64 (-.f64 eps 1)) x) (/.f64 (fma.f64 -1 (pow.f64 (exp.f64 (-.f64 eps 1)) 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)) (exp.f64 (*.f64 x (-.f64 -1 eps)))) eps) (exp.f64 (*.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 (pow.f64 (exp.f64 (-.f64 eps 1)) x) (/.f64 (fma.f64 -1 (pow.f64 (exp.f64 (-.f64 eps 1)) 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)) (exp.f64 (*.f64 x (-.f64 -1 eps)))) eps) (exp.f64 (*.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 (pow.f64 (exp.f64 (-.f64 eps 1)) x) (/.f64 (fma.f64 -1 (pow.f64 (exp.f64 (-.f64 eps 1)) 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)) (exp.f64 (*.f64 x (-.f64 -1 eps)))) eps) (exp.f64 (*.f64 x (-.f64 -1 eps))))) |
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 -1 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 (*.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 -1 eps))) (*.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 -1 eps))) 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 (/.f64 (pow.f64 (exp.f64 (-.f64 eps 1)) x) eps) (pow.f64 (exp.f64 (-.f64 eps 1)) x)) (-.f64 (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps) (exp.f64 (neg.f64 (fma.f64 x eps x))))) |
(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))) |
(+.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 (/.f64 (pow.f64 (exp.f64 (-.f64 eps 1)) x) eps) (pow.f64 (exp.f64 (-.f64 eps 1)) x)) (-.f64 (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps) (exp.f64 (neg.f64 (fma.f64 x eps x))))) |
(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))) |
(+.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 (/.f64 (pow.f64 (exp.f64 (-.f64 eps 1)) x) eps) (pow.f64 (exp.f64 (-.f64 eps 1)) x)) (-.f64 (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps) (exp.f64 (neg.f64 (fma.f64 x eps x))))) |
(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))) |
(+.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 (/.f64 (pow.f64 (exp.f64 (-.f64 eps 1)) x) eps) (pow.f64 (exp.f64 (-.f64 eps 1)) x)) (-.f64 (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps) (exp.f64 (neg.f64 (fma.f64 x eps x))))) |
(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 (neg.f64 (*.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) (-.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 (/.f64 (pow.f64 (exp.f64 (-.f64 eps 1)) x) eps) (pow.f64 (exp.f64 (-.f64 eps 1)) x)) (-.f64 (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps) (exp.f64 (neg.f64 (fma.f64 x eps x))))) |
(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 (neg.f64 (*.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) (-.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 (/.f64 (pow.f64 (exp.f64 (-.f64 eps 1)) x) eps) (pow.f64 (exp.f64 (-.f64 eps 1)) x)) (-.f64 (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps) (exp.f64 (neg.f64 (fma.f64 x eps x))))) |
(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 (neg.f64 (*.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) (-.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 (/.f64 (pow.f64 (exp.f64 (-.f64 eps 1)) x) eps) (pow.f64 (exp.f64 (-.f64 eps 1)) x)) (-.f64 (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps) (exp.f64 (neg.f64 (fma.f64 x eps x))))) |
(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 (neg.f64 (*.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) (-.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 (/.f64 (pow.f64 (exp.f64 (-.f64 eps 1)) x) eps) (pow.f64 (exp.f64 (-.f64 eps 1)) x)) (-.f64 (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps) (exp.f64 (neg.f64 (fma.f64 x eps x))))) |
(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)))) |
(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 (*.f64 x (exp.f64 (neg.f64 x))) eps) (exp.f64 (neg.f64 x))) |
(-.f64 (exp.f64 (neg.f64 x)) (*.f64 x (/.f64 eps (exp.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)))) |
(fma.f64 -1 (*.f64 (*.f64 x (exp.f64 (neg.f64 x))) eps) (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)))) |
(-.f64 (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 eps eps) 1/2) (*.f64 x x)) 1) (exp.f64 (neg.f64 x))) (*.f64 x (/.f64 eps (exp.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))))) |
(fma.f64 -1 (*.f64 (*.f64 x (exp.f64 (neg.f64 x))) eps) (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 eps eps) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x))) (exp.f64 (neg.f64 x))))) |
(+.f64 (-.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)))) (*.f64 (*.f64 (pow.f64 x 3) (/.f64 -1/6 (exp.f64 x))) (pow.f64 eps 3))) |
(-.f64 (fma.f64 -1/6 (*.f64 (/.f64 (pow.f64 x 3) (exp.f64 x)) (pow.f64 eps 3)) (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 eps eps) 1/2) (*.f64 x x)) 1) (exp.f64 (neg.f64 x)))) (*.f64 x (/.f64 eps (exp.f64 x)))) |
(exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))) |
(exp.f64 (neg.f64 (fma.f64 eps x x))) |
(exp.f64 (neg.f64 (fma.f64 x eps x))) |
(exp.f64 (*.f64 x (-.f64 -1 eps))) |
(exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))) |
(exp.f64 (neg.f64 (fma.f64 eps x x))) |
(exp.f64 (neg.f64 (fma.f64 x eps x))) |
(exp.f64 (*.f64 x (-.f64 -1 eps))) |
(exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))) |
(exp.f64 (neg.f64 (fma.f64 eps x x))) |
(exp.f64 (neg.f64 (fma.f64 x eps x))) |
(exp.f64 (*.f64 x (-.f64 -1 eps))) |
(exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))) |
(exp.f64 (neg.f64 (fma.f64 eps x x))) |
(exp.f64 (neg.f64 (fma.f64 x eps x))) |
(exp.f64 (*.f64 x (-.f64 -1 eps))) |
(exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))) |
(exp.f64 (neg.f64 (fma.f64 eps x x))) |
(exp.f64 (neg.f64 (fma.f64 x eps x))) |
(exp.f64 (*.f64 x (-.f64 -1 eps))) |
(exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))) |
(exp.f64 (neg.f64 (fma.f64 eps x x))) |
(exp.f64 (neg.f64 (fma.f64 x eps x))) |
(exp.f64 (*.f64 x (-.f64 -1 eps))) |
(exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))) |
(exp.f64 (neg.f64 (fma.f64 eps x x))) |
(exp.f64 (neg.f64 (fma.f64 x eps x))) |
(exp.f64 (*.f64 x (-.f64 -1 eps))) |
(exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))) |
(exp.f64 (neg.f64 (fma.f64 eps x x))) |
(exp.f64 (neg.f64 (fma.f64 x eps x))) |
(exp.f64 (*.f64 x (-.f64 -1 eps))) |
1 |
(+.f64 1 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) |
(+.f64 1 (neg.f64 (fma.f64 eps x x))) |
(-.f64 1 (fma.f64 x eps x)) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (pow.f64 x 2))))) |
(+.f64 1 (fma.f64 -1 (fma.f64 eps x x) (*.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (+.f64 eps 1) 2))))) |
(+.f64 1 (-.f64 (*.f64 1/2 (*.f64 (fma.f64 x eps x) (fma.f64 x eps x))) (fma.f64 x eps x))) |
(+.f64 1 (fma.f64 1/2 (*.f64 (fma.f64 x eps x) (fma.f64 x eps x)) (*.f64 x (-.f64 -1 eps)))) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) 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 1 (fma.f64 -1 (fma.f64 eps x x) (fma.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (+.f64 eps 1) 2)) (*.f64 -1/6 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps 1) 3)))))) |
(+.f64 1 (-.f64 (fma.f64 1/2 (*.f64 (fma.f64 x eps x) (fma.f64 x eps x)) (*.f64 (pow.f64 x 3) (*.f64 -1/6 (pow.f64 (+.f64 eps 1) 3)))) (fma.f64 x eps x))) |
(+.f64 (-.f64 1 (fma.f64 x eps x)) (fma.f64 1/2 (*.f64 (fma.f64 x eps x) (fma.f64 x eps x)) (*.f64 (pow.f64 x 3) (*.f64 -1/6 (pow.f64 (+.f64 eps 1) 3))))) |
(exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))) |
(exp.f64 (neg.f64 (fma.f64 eps x x))) |
(exp.f64 (neg.f64 (fma.f64 x eps x))) |
(exp.f64 (*.f64 x (-.f64 -1 eps))) |
(exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))) |
(exp.f64 (neg.f64 (fma.f64 eps x x))) |
(exp.f64 (neg.f64 (fma.f64 x eps x))) |
(exp.f64 (*.f64 x (-.f64 -1 eps))) |
(exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))) |
(exp.f64 (neg.f64 (fma.f64 eps x x))) |
(exp.f64 (neg.f64 (fma.f64 x eps x))) |
(exp.f64 (*.f64 x (-.f64 -1 eps))) |
(exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))) |
(exp.f64 (neg.f64 (fma.f64 eps x x))) |
(exp.f64 (neg.f64 (fma.f64 x eps x))) |
(exp.f64 (*.f64 x (-.f64 -1 eps))) |
(exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))) |
(exp.f64 (neg.f64 (fma.f64 eps x x))) |
(exp.f64 (neg.f64 (fma.f64 x eps x))) |
(exp.f64 (*.f64 x (-.f64 -1 eps))) |
(exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))) |
(exp.f64 (neg.f64 (fma.f64 eps x x))) |
(exp.f64 (neg.f64 (fma.f64 x eps x))) |
(exp.f64 (*.f64 x (-.f64 -1 eps))) |
(exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))) |
(exp.f64 (neg.f64 (fma.f64 eps x x))) |
(exp.f64 (neg.f64 (fma.f64 x eps x))) |
(exp.f64 (*.f64 x (-.f64 -1 eps))) |
(exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))) |
(exp.f64 (neg.f64 (fma.f64 eps x x))) |
(exp.f64 (neg.f64 (fma.f64 x eps x))) |
(exp.f64 (*.f64 x (-.f64 -1 eps))) |
(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 eps (*.f64 x (/.f64 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))) |
(pow.f64 (exp.f64 (-.f64 eps 1)) 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))) |
(pow.f64 (exp.f64 (-.f64 eps 1)) 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))) |
(pow.f64 (exp.f64 (-.f64 eps 1)) 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))) |
(pow.f64 (exp.f64 (-.f64 eps 1)) 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 x (-.f64 eps 1) (*.f64 (pow.f64 x 3) (*.f64 1/6 (pow.f64 (-.f64 eps 1) 3)))))) |
(+.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))) |
(pow.f64 (exp.f64 (-.f64 eps 1)) 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))) |
(pow.f64 (exp.f64 (-.f64 eps 1)) 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))) |
(pow.f64 (exp.f64 (-.f64 eps 1)) 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))) |
(pow.f64 (exp.f64 (-.f64 eps 1)) x) |
(pow.f64 (exp.f64 x) (-.f64 eps 1)) |
(/.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 -1 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x))))) (/.f64 (exp.f64 (neg.f64 x)) eps)) |
(fma.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) eps)) |
(+.f64 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 -1 x)) (/.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 (*.f64 -1 (*.f64 (exp.f64 (neg.f64 x)) x)) (*.f64 -1 (exp.f64 (neg.f64 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 -1 (+.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 x (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) (/.f64 1/2 (exp.f64 x)))) (fma.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) eps))) |
(-.f64 (fma.f64 eps (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x (*.f64 (*.f64 x x) 1/2))) (/.f64 (exp.f64 (neg.f64 x)) eps)) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 x -1))) |
(+.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))))))))) |
(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)) eps) (fma.f64 -1 (*.f64 x (exp.f64 (neg.f64 x))) (fma.f64 -1 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 eps eps) (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 (fma.f64 eps (fma.f64 x (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) (/.f64 1/2 (exp.f64 x)))) (fma.f64 -1 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) eps))) (*.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)))))) |
(+.f64 (-.f64 (fma.f64 eps (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x (*.f64 (*.f64 x x) 1/2))) (/.f64 (exp.f64 (neg.f64 x)) eps)) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 x -1))) (*.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 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x)))) |
(neg.f64 (exp.f64 (neg.f64 (fma.f64 eps x x)))) |
(/.f64 -1 (exp.f64 (fma.f64 x 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)) |
(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 (neg.f64 (fma.f64 x eps x))) eps) (exp.f64 (neg.f64 (fma.f64 x eps x)))) |
(/.f64 (+.f64 -1 (/.f64 1 eps)) (exp.f64 (fma.f64 x 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)) |
(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 (neg.f64 (fma.f64 x eps x))) eps) (exp.f64 (neg.f64 (fma.f64 x eps x)))) |
(/.f64 (+.f64 -1 (/.f64 1 eps)) (exp.f64 (fma.f64 x 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)) |
(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 (neg.f64 (fma.f64 x eps x))) eps) (exp.f64 (neg.f64 (fma.f64 x eps x)))) |
(/.f64 (+.f64 -1 (/.f64 1 eps)) (exp.f64 (fma.f64 x eps x))) |
(*.f64 -1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))) |
(neg.f64 (exp.f64 (neg.f64 (fma.f64 eps x x)))) |
(/.f64 -1 (exp.f64 (fma.f64 x 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))))) |
(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 (neg.f64 (fma.f64 x eps x))) eps) (exp.f64 (neg.f64 (fma.f64 x eps x)))) |
(/.f64 (+.f64 -1 (/.f64 1 eps)) (exp.f64 (fma.f64 x 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))))) |
(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 (neg.f64 (fma.f64 x eps x))) eps) (exp.f64 (neg.f64 (fma.f64 x eps x)))) |
(/.f64 (+.f64 -1 (/.f64 1 eps)) (exp.f64 (fma.f64 x 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))))) |
(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 (neg.f64 (fma.f64 x eps x))) eps) (exp.f64 (neg.f64 (fma.f64 x eps x)))) |
(/.f64 (+.f64 -1 (/.f64 1 eps)) (exp.f64 (fma.f64 x eps x))) |
(-.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 (/.f64 1 eps) (neg.f64 (*.f64 (fma.f64 eps x x) (+.f64 (/.f64 1 eps) -1)))) -1) |
(+.f64 -1 (fma.f64 (neg.f64 (+.f64 -1 (/.f64 1 eps))) (fma.f64 x eps x) (/.f64 1 eps))) |
(*.f64 (+.f64 -1 (/.f64 1 eps)) (-.f64 1 (fma.f64 x eps x))) |
(-.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 1 eps) (-.f64 (fma.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 (*.f64 x x) (pow.f64 (+.f64 eps 1) 2))) (neg.f64 (*.f64 (fma.f64 eps x x) (+.f64 (/.f64 1 eps) -1)))) 1)) |
(+.f64 -1 (+.f64 (/.f64 1 eps) (-.f64 (*.f64 1/2 (*.f64 (+.f64 -1 (/.f64 1 eps)) (*.f64 (fma.f64 x eps x) (fma.f64 x eps x)))) (*.f64 (fma.f64 x eps x) (+.f64 -1 (/.f64 1 eps)))))) |
(+.f64 (/.f64 1 eps) (+.f64 (*.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 1/2 (*.f64 (fma.f64 x eps x) (fma.f64 x eps x)) (*.f64 x (-.f64 -1 eps)))) -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 (+.f64 (/.f64 1 eps) (fma.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 (*.f64 x x) (pow.f64 (+.f64 eps 1) 2))) (fma.f64 -1/6 (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps 1) 3))) (neg.f64 (*.f64 (fma.f64 eps x x) (+.f64 (/.f64 1 eps) -1)))))) -1) |
(+.f64 -1 (+.f64 (/.f64 1 eps) (-.f64 (fma.f64 1/2 (*.f64 (+.f64 -1 (/.f64 1 eps)) (*.f64 (fma.f64 x eps x) (fma.f64 x eps x))) (*.f64 -1/6 (*.f64 (+.f64 -1 (/.f64 1 eps)) (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps 1) 3))))) (*.f64 (fma.f64 x eps x) (+.f64 -1 (/.f64 1 eps)))))) |
(+.f64 (*.f64 (+.f64 -1 (/.f64 1 eps)) (fma.f64 1/2 (*.f64 (fma.f64 x eps x) (fma.f64 x eps x)) (*.f64 (pow.f64 x 3) (*.f64 -1/6 (pow.f64 (+.f64 eps 1) 3))))) (*.f64 (+.f64 -1 (/.f64 1 eps)) (-.f64 1 (fma.f64 x eps x)))) |
(*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))) (-.f64 (/.f64 1 eps) 1)) |
(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 (neg.f64 (fma.f64 x eps x))) eps) (exp.f64 (neg.f64 (fma.f64 x eps x)))) |
(/.f64 (+.f64 -1 (/.f64 1 eps)) (exp.f64 (fma.f64 x eps x))) |
(*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))) (-.f64 (/.f64 1 eps) 1)) |
(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 (neg.f64 (fma.f64 x eps x))) eps) (exp.f64 (neg.f64 (fma.f64 x eps x)))) |
(/.f64 (+.f64 -1 (/.f64 1 eps)) (exp.f64 (fma.f64 x eps x))) |
(*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))) (-.f64 (/.f64 1 eps) 1)) |
(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 (neg.f64 (fma.f64 x eps x))) eps) (exp.f64 (neg.f64 (fma.f64 x eps x)))) |
(/.f64 (+.f64 -1 (/.f64 1 eps)) (exp.f64 (fma.f64 x eps x))) |
(*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 eps x) x))) (-.f64 (/.f64 1 eps) 1)) |
(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 (neg.f64 (fma.f64 x eps x))) eps) (exp.f64 (neg.f64 (fma.f64 x eps x)))) |
(/.f64 (+.f64 -1 (/.f64 1 eps)) (exp.f64 (fma.f64 x eps x))) |
Compiled 16402 to 11640 computations (29% saved)
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 411 | 9 | 420 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 0 | 1 |
| Total | 413 | 9 | 422 |
| Status | Error | Program |
|---|---|---|
| 0.7b | (*.f64 1/2 (+.f64 (/.f64 x (exp.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 2 x)))) | |
| ▶ | 0.7b | (/.f64 (*.f64 2 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 x -1))) 2) |
| ▶ | 46.7b | (*.f64 1/2 0) |
| 16.3b | (/.f64 2 2) | |
| ▶ | 44.7b | (/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (-.f64 (/.f64 1 eps) 1)) 2) |
| ▶ | 44.5b | (/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2) |
| 44.8b | (/.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) | |
| 28.6b | (/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 -1) (*.f64 (-.f64 1 eps) x))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2) | |
| ▶ | 1.1b | (/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))))) 2) |
Compiled 358 to 294 computations (17.9% 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 | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (*.f64 (exp.f64 (neg.f64 x)) (-.f64 x -1)) |
| 1.0ms | x | @ | 0 | (*.f64 (exp.f64 (neg.f64 x)) (-.f64 x -1)) |
| 1.0ms | 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)) |
Compiled 7 to 7 computations (0% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (-.f64 1 eps) x) |
| ✓ | 0.0b | (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) |
| 0.0b | (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) | |
| ✓ | 5.2b | (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (-.f64 (/.f64 1 eps) 1)) |
Compiled 93 to 70 computations (24.7% saved)
18 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 eps) 1)) |
| 0.0ms | x | @ | 0 | (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (-.f64 (/.f64 1 eps) 1)) |
| 0.0ms | x | @ | inf | (*.f64 (-.f64 1 eps) x) |
| 0.0ms | eps | @ | -inf | (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (-.f64 (/.f64 1 eps) 1)) |
| 0.0ms | x | @ | 0 | (*.f64 (-.f64 1 eps) x) |
| 1× | batch-egg-rewrite |
| 699× | log-prod_binary64 |
| 680× | fma-def_binary64 |
| 310× | fma-neg_binary64 |
| 246× | expm1-udef_binary64 |
| 246× | log1p-udef_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 56 |
| 1 | 299 | 50 |
| 2 | 4395 | 46 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (-.f64 (/.f64 1 eps) 1)) |
(*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) |
(*.f64 (-.f64 1 eps) x) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 530× | times-frac_binary64 |
| 435× | fma-def_binary64 |
| 421× | associate-+l+_binary64 |
| 395× | associate-*l*_binary64 |
| 385× | distribute-rgt-out_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 94 | 1668 |
| 1 | 290 | 1591 |
| 2 | 948 | 1229 |
| 3 | 4936 | 1205 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) eps) |
(-.f64 (+.f64 1 (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x)))) (/.f64 1 eps)) |
(-.f64 (+.f64 1 (+.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 1 eps)) |
(-.f64 (+.f64 1 (+.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)))))) (/.f64 1 eps)) |
(+.f64 1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) |
(-.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) eps) (+.f64 1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))) (/.f64 1 eps)) |
(-.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) eps) (+.f64 1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))) (/.f64 1 eps)) |
(-.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) eps) (+.f64 1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))) (/.f64 1 eps)) |
(+.f64 1 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) |
(+.f64 1 (+.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))) eps)))) |
(+.f64 1 (+.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))) eps)))) |
(+.f64 1 (+.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))) eps)))) |
2 |
(+.f64 2 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 eps 1) x))) |
(+.f64 2 (+.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 2 (+.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 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x)))) (/.f64 1 eps)) |
(-.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x)))) (/.f64 1 eps)) |
(-.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x)))) (/.f64 1 eps)) |
(-.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x)))) (/.f64 1 eps)) |
(-.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))) (/.f64 1 eps)) |
(-.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))) (/.f64 1 eps)) |
(-.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))) (/.f64 1 eps)) |
(-.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))) (/.f64 1 eps)) |
(/.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)))) |
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) |
| Outputs |
|---|
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) eps) |
(/.f64 (expm1.f64 (neg.f64 x)) eps) |
(-.f64 (+.f64 1 (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x)))) (/.f64 1 eps)) |
(+.f64 1 (-.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))) |
(+.f64 1 (+.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (/.f64 (expm1.f64 (neg.f64 x)) eps))) |
(+.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) (fma.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)) 1)) |
(+.f64 (/.f64 (expm1.f64 (neg.f64 x)) eps) (+.f64 1 (/.f64 (+.f64 x 1) (exp.f64 x)))) |
(-.f64 (+.f64 1 (+.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 1 eps)) |
(+.f64 1 (-.f64 (fma.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 (*.f64 1/2 (exp.f64 (neg.f64 x))) (*.f64 x x))) eps (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x)))))) (/.f64 1 eps))) |
(+.f64 (+.f64 1 (*.f64 eps (fma.f64 x (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) (/.f64 1/2 (exp.f64 x)))))) (+.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (/.f64 (expm1.f64 (neg.f64 x)) eps))) |
(+.f64 (fma.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)) (/.f64 (expm1.f64 (neg.f64 x)) eps)) (fma.f64 eps (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x (*.f64 x (*.f64 x 1/2)))) 1)) |
(+.f64 (+.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (fma.f64 eps (*.f64 (+.f64 (*.f64 1/2 x) 1) (/.f64 x (exp.f64 x))) 1)) (/.f64 (expm1.f64 (neg.f64 x)) eps)) |
(-.f64 (+.f64 1 (+.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)))))) (/.f64 1 eps)) |
(+.f64 1 (-.f64 (fma.f64 (*.f64 eps eps) (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (*.f64 (*.f64 1/2 (exp.f64 (neg.f64 x))) (*.f64 x x))) (fma.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 (*.f64 1/2 (exp.f64 (neg.f64 x))) (*.f64 x x))) eps (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x))))))) (/.f64 1 eps))) |
(+.f64 1 (+.f64 (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)))) (*.f64 eps (fma.f64 x (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) (/.f64 1/2 (exp.f64 x)))))) (+.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (/.f64 (expm1.f64 (neg.f64 x)) eps)))) |
(+.f64 1 (fma.f64 eps (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 1/6 (pow.f64 x 3))))) (fma.f64 eps (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x (*.f64 x (*.f64 x 1/2)))) (fma.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)) (/.f64 (expm1.f64 (neg.f64 x)) eps))))) |
(+.f64 (+.f64 (fma.f64 eps (*.f64 (+.f64 (*.f64 1/2 x) 1) (/.f64 x (exp.f64 x))) (/.f64 (+.f64 x 1) (exp.f64 x))) (/.f64 (expm1.f64 (neg.f64 x)) eps)) (fma.f64 eps (*.f64 eps (*.f64 (/.f64 (*.f64 x x) (exp.f64 x)) (+.f64 1/2 (*.f64 1/6 x)))) 1)) |
(+.f64 1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) |
(+.f64 1 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) |
(+.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))) |
(+.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps -1))) |
(-.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) eps) (+.f64 1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))) (/.f64 1 eps)) |
(+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) eps) (-.f64 (+.f64 1 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (/.f64 1 eps))) |
(+.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))) (+.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) eps) (/.f64 -1 eps))) |
(+.f64 1 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (/.f64 -1 eps))) |
(-.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) eps) (+.f64 1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))) (/.f64 1 eps)) |
(+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) eps) (-.f64 (+.f64 1 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (/.f64 1 eps))) |
(+.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))) (+.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) eps) (/.f64 -1 eps))) |
(+.f64 1 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (/.f64 -1 eps))) |
(-.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) eps) (+.f64 1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))) (/.f64 1 eps)) |
(+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) eps) (-.f64 (+.f64 1 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (/.f64 1 eps))) |
(+.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))) (+.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) eps) (/.f64 -1 eps))) |
(+.f64 1 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (/.f64 -1 eps))) |
(+.f64 1 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) |
(+.f64 1 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) |
(+.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))) |
(+.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps -1))) |
(+.f64 1 (+.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))) eps)))) |
(+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) eps) (-.f64 (+.f64 1 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (/.f64 1 eps))) |
(+.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))) (+.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) eps) (/.f64 -1 eps))) |
(+.f64 1 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (/.f64 -1 eps))) |
(+.f64 1 (+.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))) eps)))) |
(+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) eps) (-.f64 (+.f64 1 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (/.f64 1 eps))) |
(+.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))) (+.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) eps) (/.f64 -1 eps))) |
(+.f64 1 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (/.f64 -1 eps))) |
(+.f64 1 (+.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))) eps)))) |
(+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) eps) (-.f64 (+.f64 1 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (/.f64 1 eps))) |
(+.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))) (+.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) eps) (/.f64 -1 eps))) |
(+.f64 1 (fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (/.f64 -1 eps))) |
2 |
(+.f64 2 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 eps 1) x))) |
(+.f64 2 (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1)))) |
(fma.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1)) 2) |
(fma.f64 (+.f64 1 (/.f64 1 eps)) (fma.f64 x eps (neg.f64 x)) 2) |
(fma.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (*.f64 x eps) x) 2) |
(+.f64 2 (+.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 2 (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 2 (fma.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 x (+.f64 eps -1)) (*.f64 1/2 (*.f64 (+.f64 1 (/.f64 1 eps)) (*.f64 x (*.f64 x (pow.f64 (+.f64 eps -1) 2))))))) |
(+.f64 2 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 (fma.f64 x eps (neg.f64 x)) (*.f64 1/2 (*.f64 x (*.f64 x (pow.f64 (+.f64 eps -1) 2))))))) |
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(*.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 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) eps) (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))) |
(*.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 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 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) eps) (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))) |
(*.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 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 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) eps) (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))) |
(*.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps))) |
(*.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 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) eps) (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))) |
(*.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps))) |
(*.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 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) eps) (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))) |
(*.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps))) |
(*.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 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) eps) (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))) |
(*.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps))) |
(*.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 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) eps) (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))) |
(*.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps))) |
x |
(+.f64 (*.f64 -1 (*.f64 eps x)) x) |
(fma.f64 -1 (*.f64 x eps) x) |
(-.f64 x (*.f64 x eps)) |
(fma.f64 (neg.f64 x) eps x) |
(+.f64 (*.f64 -1 (*.f64 eps x)) x) |
(fma.f64 -1 (*.f64 x eps) x) |
(-.f64 x (*.f64 x eps)) |
(fma.f64 (neg.f64 x) eps x) |
(+.f64 (*.f64 -1 (*.f64 eps x)) x) |
(fma.f64 -1 (*.f64 x eps) x) |
(-.f64 x (*.f64 x eps)) |
(fma.f64 (neg.f64 x) eps x) |
(*.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)) |
(fma.f64 (neg.f64 x) eps x) |
(+.f64 (*.f64 -1 (*.f64 eps x)) x) |
(fma.f64 -1 (*.f64 x eps) x) |
(-.f64 x (*.f64 x eps)) |
(fma.f64 (neg.f64 x) eps x) |
(+.f64 (*.f64 -1 (*.f64 eps x)) x) |
(fma.f64 -1 (*.f64 x eps) x) |
(-.f64 x (*.f64 x eps)) |
(fma.f64 (neg.f64 x) eps x) |
(*.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)) |
(fma.f64 (neg.f64 x) eps x) |
(+.f64 (*.f64 -1 (*.f64 eps x)) x) |
(fma.f64 -1 (*.f64 x eps) x) |
(-.f64 x (*.f64 x eps)) |
(fma.f64 (neg.f64 x) eps x) |
(+.f64 (*.f64 -1 (*.f64 eps x)) x) |
(fma.f64 -1 (*.f64 x eps) x) |
(-.f64 x (*.f64 x eps)) |
(fma.f64 (neg.f64 x) eps x) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) | |
| 0.0b | (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) | |
| ✓ | 0.0b | (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))) |
| ✓ | 4.3b | (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) |
Compiled 153 to 116 computations (24.2% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | eps | @ | inf | (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) |
| 1.0ms | eps | @ | 0 | (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 (*.f64 -1 (*.f64 (+.f64 eps 1) 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) (+.f64 1 (*.f64 -1 (*.f64 (+.f64 eps 1) 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) (+.f64 1 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) |
| 1.0ms | eps | @ | -inf | (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) |
| 1× | batch-egg-rewrite |
| 534× | fma-neg_binary64 |
| 345× | expm1-udef_binary64 |
| 345× | log1p-udef_binary64 |
| 228× | add-sqr-sqrt_binary64 |
| 225× | *-un-lft-identity_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 64 |
| 1 | 445 | 56 |
| 2 | 6741 | 56 |
| 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) (+.f64 1 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) |
(*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 -1 (+.f64 x (*.f64 eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (*.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 -1 (+.f64 x (*.f64 eps x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1 eps) x) (log1p.f64 (/.f64 1 eps)))) (+.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 -1 (+.f64 x (*.f64 eps x)))) (fma.f64 (+.f64 -1 (+.f64 x (*.f64 eps x))) (+.f64 (/.f64 1 eps) -1) (*.f64 (+.f64 (/.f64 1 eps) -1) (fma.f64 (+.f64 -1 (neg.f64 eps)) x 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 (+.f64 (/.f64 1 eps) -1) (+.f64 -1 (+.f64 x (*.f64 eps x))))) (fma.f64 (+.f64 -1 (+.f64 x (*.f64 eps x))) (+.f64 (/.f64 1 eps) -1) (*.f64 (+.f64 (/.f64 1 eps) 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fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 2) (*.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) -1)) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (cbrt.f64 eps)) (cbrt.f64 (pow.f64 eps -2)) (neg.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 eps x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 eps -2)) (/.f64 1 (cbrt.f64 eps)) (neg.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 eps x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 eps -2)) (*.f64 (/.f64 1 (cbrt.f64 eps)) 1) (neg.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 eps x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (/.f64 1 eps) -1)) (sqrt.f64 (+.f64 (/.f64 1 eps) -1)) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (/.f64 1 eps) -1)) (*.f64 (sqrt.f64 (+.f64 (/.f64 1 eps) -1)) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 eps -1/2) (pow.f64 eps -1/2) (neg.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 eps x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 eps -1/2) (*.f64 (pow.f64 eps -1/2) 1) (neg.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 eps x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 eps -3) -1) (/.f64 1 (+.f64 (+.f64 (pow.f64 eps -2) 1) (/.f64 1 eps))) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 eps -2) -1) (/.f64 1 (+.f64 1 (/.f64 1 eps))) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (cbrt.f64 eps) 2) -1) (pow.f64 (cbrt.f64 eps) -1) (neg.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 eps x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (sqrt.f64 eps) -1) (pow.f64 (sqrt.f64 eps) -1) (neg.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 eps x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 eps -1/2) 1) (-.f64 (pow.f64 eps -1/2) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (+.f64 (pow.f64 eps -2) -1) (+.f64 1 (pow.f64 eps -3))) (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 1 eps))) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (+.f64 (pow.f64 eps -2) -1) (-.f64 1 (pow.f64 eps -2))) (-.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 x (*.f64 eps x)))))))) |
| 1× | egg-herbie |
| 661× | fma-def_binary64 |
| 564× | associate-+l+_binary64 |
| 429× | associate-*l*_binary64 |
| 428× | associate--r+_binary64 |
| 416× | associate-*r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 119 | 1588 |
| 1 | 419 | 1417 |
| 2 | 1526 | 1222 |
| 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 eps 1) (-.f64 (/.f64 1 eps) 1)))) x)) |
(+.f64 2 (+.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2)))) (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 -1 (*.f64 (+.f64 eps 1) (-.f64 (/.f64 1 eps) 1)))) x))) |
(+.f64 2 (+.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 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 -1 (*.f64 (+.f64 eps 1) (-.f64 (/.f64 1 eps) 1)))) x)))) |
(*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)) |
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x))) (+.f64 1 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)))) (/.f64 1 eps)) |
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x))) (+.f64 1 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)))) (/.f64 1 eps)) |
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x))) (+.f64 1 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) 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 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 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x))) |
(-.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) |
| 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 (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 (+.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 (-.f64 1 x) (+.f64 x (/.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 (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 (/.f64 1/2 (exp.f64 x)) (*.f64 x x) (*.f64 x (exp.f64 (neg.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 (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x (*.f64 1/2 (*.f64 x x)))) x) (fma.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)) (/.f64 (expm1.f64 (neg.f64 x)) eps))) (+.f64 (-.f64 1 x) (+.f64 x (/.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)))))) |
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(*.f64 (neg.f64 x) eps) |
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(*.f64 -1 (*.f64 eps x)) |
(*.f64 (neg.f64 eps) x) |
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2 |
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(fma.f64 x (fma.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 -1 eps) (+.f64 (-.f64 -1 eps) (/.f64 (+.f64 1 eps) eps))) 2) |
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(fma.f64 x (fma.f64 (+.f64 1 (/.f64 1 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)) |
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(*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)) |
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(*.f64 (+.f64 1 eps) (-.f64 (/.f64 x eps) x)) |
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(*.f64 x (*.f64 (+.f64 1 eps) (+.f64 -1 (/.f64 1 eps)))) |
(*.f64 (+.f64 1 eps) (-.f64 (/.f64 x eps) x)) |
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(/.f64 (+.f64 1 (*.f64 -1 x)) eps) |
(/.f64 (+.f64 1 (neg.f64 x)) eps) |
(/.f64 (-.f64 1 x) eps) |
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(+.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 eps) (-.f64 (fma.f64 x eps (+.f64 x (-.f64 -1 (/.f64 x eps)))) 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 eps) (-.f64 (fma.f64 x eps (+.f64 x (-.f64 -1 (/.f64 x eps)))) x)) |
(*.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 (*.f64 -1 (+.f64 x (+.f64 1 (neg.f64 x))))) |
(-.f64 (*.f64 x (+.f64 -1 eps)) (-.f64 1 x)) |
(+.f64 (fma.f64 x (+.f64 -1 eps) -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) (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 eps) (-.f64 (fma.f64 x eps (+.f64 x (-.f64 -1 (/.f64 x eps)))) 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 eps) (-.f64 (fma.f64 x eps (+.f64 x (-.f64 -1 (/.f64 x eps)))) x)) |
(*.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 (*.f64 -1 (+.f64 x (+.f64 1 (neg.f64 x))))) |
(-.f64 (*.f64 x (+.f64 -1 eps)) (-.f64 1 x)) |
(+.f64 (fma.f64 x (+.f64 -1 eps) -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) (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 eps) (-.f64 (fma.f64 x eps (+.f64 x (-.f64 -1 (/.f64 x eps)))) 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 eps) (-.f64 (fma.f64 x eps (+.f64 x (-.f64 -1 (/.f64 x eps)))) x)) |
(-.f64 (/.f64 1 eps) 1) |
(+.f64 (/.f64 1 eps) -1) |
(+.f64 -1 (/.f64 1 eps)) |
(-.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))) 1) |
(+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 x (+.f64 1 eps)))) 1)) |
(+.f64 -1 (fma.f64 (+.f64 (/.f64 -1 eps) 1) (*.f64 x (+.f64 1 eps)) (/.f64 1 eps))) |
(*.f64 (+.f64 (*.f64 x (-.f64 -1 eps)) 1) (+.f64 -1 (/.f64 1 eps))) |
(-.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))) 1) |
(+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 x (+.f64 1 eps)))) 1)) |
(+.f64 -1 (fma.f64 (+.f64 (/.f64 -1 eps) 1) (*.f64 x (+.f64 1 eps)) (/.f64 1 eps))) |
(*.f64 (+.f64 (*.f64 x (-.f64 -1 eps)) 1) (+.f64 -1 (/.f64 1 eps))) |
(-.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))) 1) |
(+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 x (+.f64 1 eps)))) 1)) |
(+.f64 -1 (fma.f64 (+.f64 (/.f64 -1 eps) 1) (*.f64 x (+.f64 1 eps)) (/.f64 1 eps))) |
(*.f64 (+.f64 (*.f64 x (-.f64 -1 eps)) 1) (+.f64 -1 (/.f64 1 eps))) |
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) 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 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)))) 1) |
(+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 x (+.f64 1 eps)))) 1)) |
(+.f64 -1 (fma.f64 (+.f64 (/.f64 -1 eps) 1) (*.f64 x (+.f64 1 eps)) (/.f64 1 eps))) |
(*.f64 (+.f64 (*.f64 x (-.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) (-.f64 (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 x (+.f64 1 eps)))) 1)) |
(+.f64 -1 (fma.f64 (+.f64 (/.f64 -1 eps) 1) (*.f64 x (+.f64 1 eps)) (/.f64 1 eps))) |
(*.f64 (+.f64 (*.f64 x (-.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) (-.f64 (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 x (+.f64 1 eps)))) 1)) |
(+.f64 -1 (fma.f64 (+.f64 (/.f64 -1 eps) 1) (*.f64 x (+.f64 1 eps)) (/.f64 1 eps))) |
(*.f64 (+.f64 (*.f64 x (-.f64 -1 eps)) 1) (+.f64 -1 (/.f64 1 eps))) |
(*.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) (-.f64 (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 x (+.f64 1 eps)))) 1)) |
(+.f64 -1 (fma.f64 (+.f64 (/.f64 -1 eps) 1) (*.f64 x (+.f64 1 eps)) (/.f64 1 eps))) |
(*.f64 (+.f64 (*.f64 x (-.f64 -1 eps)) 1) (+.f64 -1 (/.f64 1 eps))) |
(-.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))) 1) |
(+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 x (+.f64 1 eps)))) 1)) |
(+.f64 -1 (fma.f64 (+.f64 (/.f64 -1 eps) 1) (*.f64 x (+.f64 1 eps)) (/.f64 1 eps))) |
(*.f64 (+.f64 (*.f64 x (-.f64 -1 eps)) 1) (+.f64 -1 (/.f64 1 eps))) |
(-.f64 (+.f64 (/.f64 1 eps) (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 (/.f64 1 eps) 1) x)))) 1) |
(+.f64 (/.f64 1 eps) (-.f64 (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (*.f64 x (+.f64 1 eps)))) 1)) |
(+.f64 -1 (fma.f64 (+.f64 (/.f64 -1 eps) 1) (*.f64 x (+.f64 1 eps)) (/.f64 1 eps))) |
(*.f64 (+.f64 (*.f64 x (-.f64 -1 eps)) 1) (+.f64 -1 (/.f64 1 eps))) |
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 1 eps) x))) | |
| ✓ | 0.0b | (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))) |
Compiled 94 to 68 computations (27.7% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))) |
| 0.0ms | eps | @ | 0 | (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))) |
| 0.0ms | x | @ | inf | (*.f64 (+.f64 eps 1) x) |
| 0.0ms | x | @ | 0 | (*.f64 (+.f64 eps 1) x) |
| 0.0ms | x | @ | -inf | (*.f64 (+.f64 eps 1) x) |
| 1× | batch-egg-rewrite |
| 729× | pow1_binary64 |
| 675× | log1p-expm1-u_binary64 |
| 675× | expm1-log1p-u_binary64 |
| 674× | add-log-exp_binary64 |
| 661× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 18 |
| 1 | 165 | 16 |
| 2 | 2137 | 16 |
| 1× | node limit |
| Inputs |
|---|
(exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))) |
(*.f64 (+.f64 eps 1) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (expm1.f64 (+.f64 x (*.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (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 (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 1 (pow.f64 (exp.f64 x) (+.f64 eps 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 x) (+.f64 eps 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (+.f64 x (*.f64 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (+.f64 eps 1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (+.f64 eps 1)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (+.f64 x (*.f64 eps x)))) (sqrt.f64 (+.f64 x (*.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 eps x))) 2)) (cbrt.f64 (+.f64 x (*.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 -1) (+.f64 x (*.f64 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (+.f64 -1 (neg.f64 eps))) x)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)) 2))))) (#(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 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 +.f64 x (*.f64 eps x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 x (*.f64 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps x) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x eps) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 x (*.f64 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 x (*.f64 eps x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (+.f64 x (*.f64 eps x)) 3)) (+.f64 0 (+.f64 (pow.f64 (+.f64 x (*.f64 eps x)) 2) (*.f64 0 (+.f64 x (*.f64 eps x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (+.f64 x (*.f64 eps x)) 2)) (+.f64 x (*.f64 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 eps 3)) x) (fma.f64 eps eps (-.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 eps eps -1) x) (+.f64 eps -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 eps 3)) (neg.f64 x)) (fma.f64 eps eps (-.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 eps eps -1) (neg.f64 x)) (+.f64 eps -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 1 (pow.f64 eps 3))) (fma.f64 eps eps (-.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (fma.f64 eps eps -1)) (+.f64 eps -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (*.f64 eps x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (*.f64 eps x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (*.f64 eps x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (*.f64 eps x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 x (*.f64 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (*.f64 eps x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (*.f64 eps x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 eps 1) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (*.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (*.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 eps) (log.f64 x))))))) |
| 1× | egg-herbie |
| 646× | distribute-rgt-in_binary64 |
| 569× | cancel-sign-sub-inv_binary64 |
| 486× | fma-neg_binary64 |
| 397× | associate-*l*_binary64 |
| 360× | associate-*r*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 451 |
| 1 | 177 | 382 |
| 2 | 580 | 374 |
| 3 | 2994 | 361 |
| 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 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 (-.f64 -1 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 (-.f64 -1 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 (-.f64 -1 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 (-.f64 -1 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)) |
(fma.f64 x (-.f64 -1 eps) 1) |
(+.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))) |
(fma.f64 1/2 (*.f64 (fma.f64 x eps x) (fma.f64 x eps x)) (fma.f64 x (-.f64 -1 eps) 1)) |
(+.f64 1 (*.f64 (fma.f64 x eps x) (+.f64 (*.f64 (fma.f64 x eps x) 1/2) -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)))) |
(-.f64 (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)) 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 (fma.f64 x eps x) 1/2) -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 (-.f64 -1 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 (-.f64 -1 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 (-.f64 -1 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 (-.f64 -1 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 (-.f64 -1 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 (-.f64 -1 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 (-.f64 -1 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 (-.f64 -1 eps)) x) |
(pow.f64 (exp.f64 x) (-.f64 -1 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 25179 to 18430 computations (26.8% saved)
10 alts after pruning (9 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 790 | 9 | 799 |
| Fresh | 4 | 0 | 4 |
| Picked | 1 | 0 | 1 |
| Done | 3 | 1 | 4 |
| Total | 798 | 10 | 808 |
| Status | Error | Program |
|---|---|---|
| 17.1b | (/.f64 (-.f64 (+.f64 1 (*.f64 (-.f64 eps 1) x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))))) 2) | |
| ▶ | 16.3b | (/.f64 2 2) |
| ▶ | 0.6b | (/.f64 (*.f64 2 (/.f64 (+.f64 x 1) (exp.f64 x))) 2) |
| ▶ | 17.0b | (/.f64 (+.f64 1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) 2) |
| ✓ | 46.7b | (*.f64 1/2 0) |
| ▶ | 16.8b | (/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (+.f64 1 (*.f64 -1 (*.f64 (+.f64 1 eps) x))))) 2) |
| 59.1b | (/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (/.f64 (-.f64 1 x) eps)) 2) | |
| ▶ | 12.0b | (/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 x eps))))) 2) |
| 44.7b | (/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 -1) (*.f64 (-.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)) 2) | |
| 33.2b | (/.f64 (+.f64 2 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 eps 1) x))) 2) |
Compiled 319 to 263 computations (17.6% saved)
Compiled 34 to 22 computations (35.3% saved)
Compiled 6 to 6 computations (0% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (*.f64 (-.f64 1 eps) x) | |
| ✓ | 0.0b | (+.f64 1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) |
| 0.0b | (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) |
Compiled 47 to 34 computations (27.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 59.0ms | eps | @ | 0 | (+.f64 1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) |
| 1.0ms | eps | @ | inf | (+.f64 1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) |
| 1.0ms | x | @ | inf | (+.f64 1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) |
| 1.0ms | x | @ | 0 | (+.f64 1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) |
| 1.0ms | eps | @ | -inf | (+.f64 1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) |
| 1× | batch-egg-rewrite |
| 946× | pow1_binary64 |
| 877× | add-log-exp_binary64 |
| 877× | log1p-expm1-u_binary64 |
| 877× | expm1-log1p-u_binary64 |
| 99× | add-sqr-sqrt_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 14 |
| 1 | 193 | 12 |
| 2 | 2616 | 12 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 1 (pow.f64 (exp.f64 x) (-.f64 1 eps))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 x) (-.f64 1 eps)))) (/.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 2) (-.f64 1 (pow.f64 (exp.f64 x) (-.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) (-.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (exp.f64 x) (-.f64 1 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) (-.f64 1 eps)))) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) (-.f64 1 eps)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) (-.f64 1 eps)))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) (-.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) (-.f64 1 eps)))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) (-.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 3)) (/.f64 1 (+.f64 1 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (expm1.f64 (*.f64 (-.f64 1 eps) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 2)) (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 x) (-.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (expm1.f64 (*.f64 (-.f64 1 eps) x)))) (+.f64 1 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (-.f64 1 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 3)) (+.f64 1 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (expm1.f64 (*.f64 (-.f64 1 eps) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 3)) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 2) (-.f64 1 (pow.f64 (exp.f64 x) (-.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 2)) (-.f64 1 (pow.f64 (exp.f64 x) (-.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 3))) (neg.f64 (+.f64 1 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (expm1.f64 (*.f64 (-.f64 1 eps) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 2))) (neg.f64 (-.f64 1 (pow.f64 (exp.f64 x) (-.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 2) 1) (expm1.f64 (*.f64 (-.f64 1 eps) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) (-.f64 1 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) (-.f64 1 eps))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) (-.f64 1 eps)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) (-.f64 1 eps)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) (-.f64 1 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (pow.f64 (exp.f64 x) (-.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (pow.f64 (exp.f64 x) (-.f64 1 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) (-.f64 1 eps))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (pow.f64 (exp.f64 x) (-.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (pow.f64 (exp.f64 x) (-.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 2)) (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) 1))))) |
| 1× | egg-herbie |
| 539× | distribute-rgt-in_binary64 |
| 532× | distribute-lft-in_binary64 |
| 336× | associate-*l*_binary64 |
| 336× | unswap-sqr_binary64 |
| 310× | associate-+l+_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 332 |
| 1 | 170 | 312 |
| 2 | 538 | 282 |
| 3 | 2628 | 273 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 1 (exp.f64 (neg.f64 x))) |
(+.f64 (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) x)) (+.f64 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 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 1 (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))) (exp.f64 (neg.f64 x)))))) |
(+.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)))) |
(+.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)))) |
2 |
(+.f64 2 (*.f64 (-.f64 eps 1) x)) |
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 2 (*.f64 (-.f64 eps 1) x))) |
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 2 (+.f64 (*.f64 (-.f64 eps 1) x) (*.f64 1/6 (*.f64 (pow.f64 (-.f64 eps 1) 3) (pow.f64 x 3)))))) |
(+.f64 1 (exp.f64 (-.f64 (*.f64 eps x) x))) |
(+.f64 1 (exp.f64 (-.f64 (*.f64 eps x) x))) |
(+.f64 1 (exp.f64 (-.f64 (*.f64 eps x) x))) |
(+.f64 1 (exp.f64 (-.f64 (*.f64 eps x) x))) |
| Outputs |
|---|
(+.f64 1 (exp.f64 (neg.f64 x))) |
(+.f64 (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) x)) (+.f64 1 (exp.f64 (neg.f64 x)))) |
(fma.f64 eps (*.f64 x (exp.f64 (neg.f64 x))) (+.f64 1 (exp.f64 (neg.f64 x)))) |
(+.f64 1 (*.f64 (+.f64 (*.f64 x eps) 1) (exp.f64 (neg.f64 x)))) |
(+.f64 1 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 (*.f64 x eps)))) |
(+.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 1 (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))) (+.f64 1 (exp.f64 (neg.f64 x))))) |
(fma.f64 eps (*.f64 x (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (fma.f64 1/2 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 x x)) (exp.f64 (neg.f64 x))) 1))) |
(+.f64 (exp.f64 (neg.f64 x)) (fma.f64 x (/.f64 eps (exp.f64 x)) (fma.f64 1/2 (*.f64 eps (*.f64 eps (/.f64 (*.f64 x x) (exp.f64 x)))) 1))) |
(+.f64 1 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (/.f64 x (exp.f64 x)) (+.f64 (*.f64 (*.f64 eps (*.f64 eps 1/2)) x) eps)))) |
(+.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 1 (+.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))) (+.f64 1 (fma.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))) (+.f64 (fma.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 1/2 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 x x)) (exp.f64 (neg.f64 x))) 1))) |
(+.f64 (fma.f64 1/2 (*.f64 eps (*.f64 eps (/.f64 (*.f64 x x) (exp.f64 x)))) (fma.f64 (pow.f64 eps 3) (*.f64 1/6 (/.f64 (pow.f64 x 3) (exp.f64 x))) 1)) (*.f64 (+.f64 (*.f64 x eps) 1) (exp.f64 (neg.f64 x)))) |
(+.f64 (+.f64 1 (exp.f64 (neg.f64 x))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 (pow.f64 eps 3) (*.f64 1/6 (pow.f64 x 3))) (*.f64 x (+.f64 (*.f64 (*.f64 eps (*.f64 eps 1/2)) x) eps))))) |
(+.f64 1 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) |
(+.f64 1 (exp.f64 (*.f64 (+.f64 1 (neg.f64 eps)) (neg.f64 x)))) |
(+.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))) |
(+.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps -1))) |
(+.f64 1 (exp.f64 (-.f64 (*.f64 x eps) x))) |
(+.f64 1 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) |
(+.f64 1 (exp.f64 (*.f64 (+.f64 1 (neg.f64 eps)) (neg.f64 x)))) |
(+.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))) |
(+.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps -1))) |
(+.f64 1 (exp.f64 (-.f64 (*.f64 x eps) x))) |
(+.f64 1 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) |
(+.f64 1 (exp.f64 (*.f64 (+.f64 1 (neg.f64 eps)) (neg.f64 x)))) |
(+.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))) |
(+.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps -1))) |
(+.f64 1 (exp.f64 (-.f64 (*.f64 x eps) x))) |
(+.f64 1 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) |
(+.f64 1 (exp.f64 (*.f64 (+.f64 1 (neg.f64 eps)) (neg.f64 x)))) |
(+.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))) |
(+.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps -1))) |
(+.f64 1 (exp.f64 (-.f64 (*.f64 x eps) x))) |
2 |
(+.f64 2 (*.f64 (-.f64 eps 1) x)) |
(+.f64 2 (*.f64 x (+.f64 eps -1))) |
(fma.f64 x (+.f64 eps -1) 2) |
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 2 (*.f64 (-.f64 eps 1) x))) |
(fma.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (+.f64 eps -1) 2)) (+.f64 2 (*.f64 x (+.f64 eps -1)))) |
(fma.f64 1/2 (*.f64 x (*.f64 x (pow.f64 (+.f64 eps -1) 2))) (fma.f64 x (+.f64 eps -1) 2)) |
(fma.f64 x (+.f64 eps -1) (fma.f64 (*.f64 x x) (*.f64 1/2 (pow.f64 (+.f64 eps -1) 2)) 2)) |
(fma.f64 x (+.f64 eps -1) (fma.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (+.f64 eps -1) 2)) 2)) |
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 2 (+.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 2 (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 eps -1) 2))) (fma.f64 x (+.f64 eps -1) 2)) (*.f64 (pow.f64 (+.f64 eps -1) 3) (*.f64 (pow.f64 x 3) 1/6))) |
(fma.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (+.f64 eps -1) 2)) (fma.f64 x (+.f64 eps -1) (fma.f64 (pow.f64 (+.f64 eps -1) 3) (*.f64 1/6 (pow.f64 x 3)) 2))) |
(+.f64 1 (exp.f64 (-.f64 (*.f64 eps x) x))) |
(+.f64 1 (exp.f64 (*.f64 (+.f64 1 (neg.f64 eps)) (neg.f64 x)))) |
(+.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))) |
(+.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps -1))) |
(+.f64 1 (exp.f64 (-.f64 (*.f64 x eps) x))) |
(+.f64 1 (exp.f64 (-.f64 (*.f64 eps x) x))) |
(+.f64 1 (exp.f64 (*.f64 (+.f64 1 (neg.f64 eps)) (neg.f64 x)))) |
(+.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))) |
(+.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps -1))) |
(+.f64 1 (exp.f64 (-.f64 (*.f64 x eps) x))) |
(+.f64 1 (exp.f64 (-.f64 (*.f64 eps x) x))) |
(+.f64 1 (exp.f64 (*.f64 (+.f64 1 (neg.f64 eps)) (neg.f64 x)))) |
(+.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))) |
(+.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps -1))) |
(+.f64 1 (exp.f64 (-.f64 (*.f64 x eps) x))) |
(+.f64 1 (exp.f64 (-.f64 (*.f64 eps x) x))) |
(+.f64 1 (exp.f64 (*.f64 (+.f64 1 (neg.f64 eps)) (neg.f64 x)))) |
(+.f64 1 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))) |
(+.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps -1))) |
(+.f64 1 (exp.f64 (-.f64 (*.f64 x eps) x))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (+.f64 1 eps) x) |
| ✓ | 0.0b | (-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (+.f64 1 (*.f64 -1 (*.f64 (+.f64 1 eps) x))))) |
| 0.0b | (*.f64 (-.f64 1 eps) x) | |
| 0.0b | (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) |
Compiled 103 to 77 computations (25.2% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (+.f64 1 (*.f64 -1 (*.f64 (+.f64 1 eps) x))))) |
| 1.0ms | eps | @ | inf | (-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (+.f64 1 (*.f64 -1 (*.f64 (+.f64 1 eps) x))))) |
| 1.0ms | eps | @ | 0 | (-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (+.f64 1 (*.f64 -1 (*.f64 (+.f64 1 eps) x))))) |
| 1.0ms | eps | @ | -inf | (-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (+.f64 1 (*.f64 -1 (*.f64 (+.f64 1 eps) x))))) |
| 0.0ms | x | @ | -inf | (-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (+.f64 1 (*.f64 -1 (*.f64 (+.f64 1 eps) x))))) |
| 1× | batch-egg-rewrite |
| 700× | log-prod_binary64 |
| 644× | fma-def_binary64 |
| 273× | fma-neg_binary64 |
| 231× | expm1-udef_binary64 |
| 230× | log1p-udef_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 32 |
| 1 | 333 | 28 |
| 2 | 4949 | 21 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (+.f64 1 (*.f64 -1 (*.f64 (+.f64 1 eps) x))))) |
(*.f64 (+.f64 1 eps) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) (+.f64 1 (fma.f64 eps x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (fma.f64 eps x x)) (pow.f64 (exp.f64 x) (-.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (expm1.f64 (*.f64 (-.f64 1 eps) x)) (fma.f64 eps x x)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 1 (fma.f64 eps x x)))) (cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 eps x x)) 2)) (+.f64 1 (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (expm1.f64 (*.f64 (-.f64 1 eps) x)) (fma.f64 eps x x)) (+.f64 (+.f64 1 (fma.f64 eps x x)) (+.f64 1 (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (expm1.f64 (*.f64 (-.f64 1 eps) x)) (fma.f64 eps x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (expm1.f64 (*.f64 (-.f64 1 eps) x)) (fma.f64 eps x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 1) (fma.f64 eps x x))))) 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (fma.f64 eps x x) 3)) (/.f64 1 (fma.f64 (fma.f64 eps x x) (+.f64 1 (fma.f64 eps x x)) 1)) (pow.f64 (exp.f64 x) (-.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (fma.f64 eps x x) 2)) (/.f64 1 (+.f64 1 (fma.f64 eps x x))) (pow.f64 (exp.f64 x) (-.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (+.f64 1 (fma.f64 eps x x)))) (sqrt.f64 (+.f64 1 (fma.f64 eps x x))) (pow.f64 (exp.f64 x) (-.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (sqrt.f64 (+.f64 1 (fma.f64 eps x x)))) (-.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (sqrt.f64 (+.f64 1 (fma.f64 eps x x)))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 1 (fma.f64 eps x x)))) (cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 eps x x)) 2)) (+.f64 1 (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (sqrt.f64 (+.f64 1 (fma.f64 eps x x)))) (-.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (sqrt.f64 (+.f64 1 (fma.f64 eps x x)))) (+.f64 (+.f64 1 (fma.f64 eps x x)) (+.f64 1 (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 eps x x)) 2))) (cbrt.f64 (+.f64 1 (fma.f64 eps x x))) (pow.f64 (exp.f64 x) (-.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 eps x x)) 2))) (cbrt.f64 (+.f64 1 (fma.f64 eps x x))) (pow.f64 (exp.f64 x) (-.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sqrt.f64 (+.f64 1 (fma.f64 eps x x)))) (sqrt.f64 (+.f64 1 (fma.f64 eps x x))) (pow.f64 (exp.f64 x) (-.f64 1 eps))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 eps x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 eps x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps x) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x eps) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) (cbrt.f64 (exp.f64 (fma.f64 eps x x))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 eps x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (fma.f64 eps x x))))) (#(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 1 eps))))) (#(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 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 eps x x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 eps x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 eps x x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 eps x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (fma.f64 eps x x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 eps x x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 eps x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 eps x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 eps) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 1 eps) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 eps x x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (fma.f64 eps x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 eps x x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 eps x x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 eps x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 eps x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (fma.f64 eps x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 eps x x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 eps x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x eps x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (+.f64 1 (fma.f64 eps x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (fma.f64 eps x x)) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (fma.f64 eps x x)) -1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 eps x x)) 2)) (cbrt.f64 (+.f64 1 (fma.f64 eps x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 eps x x)) 2)) (neg.f64 (cbrt.f64 (+.f64 1 (fma.f64 eps x x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)) (*.f64 eps x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)) (*.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (*.f64 eps x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (*.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1 (fma.f64 eps x x))) (cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 eps x x)) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 eps x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (fma.f64 eps x x))) (sqrt.f64 (+.f64 1 (fma.f64 eps x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (fma.f64 eps x x))) (neg.f64 (sqrt.f64 (+.f64 1 (fma.f64 eps x x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (fma.f64 eps x x))) (*.f64 (sqrt.f64 (+.f64 1 (fma.f64 eps x x))) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (fma.f64 eps x x) 3)) (/.f64 1 (fma.f64 (fma.f64 eps x x) (+.f64 1 (fma.f64 eps x x)) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (fma.f64 eps x x) 2)) (/.f64 1 (+.f64 1 (fma.f64 eps x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (+.f64 1 (fma.f64 eps x x)))) (sqrt.f64 (+.f64 1 (fma.f64 eps x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 eps x x)) 2))) (cbrt.f64 (+.f64 1 (fma.f64 eps x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 eps x x)) 2))) (cbrt.f64 (+.f64 1 (fma.f64 eps x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sqrt.f64 (+.f64 1 (fma.f64 eps x x)))) (sqrt.f64 (+.f64 1 (fma.f64 eps x x))) -1))))) |
| 1× | egg-herbie |
| 673× | distribute-rgt-in_binary64 |
| 655× | distribute-lft-in_binary64 |
| 588× | fma-neg_binary64 |
| 372× | unswap-sqr_binary64 |
| 343× | associate-*l*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 79 | 688 |
| 1 | 263 | 608 |
| 2 | 790 | 546 |
| 3 | 3379 | 540 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (+.f64 1 (*.f64 -1 x)))) |
(-.f64 (+.f64 (*.f64 eps (-.f64 (*.f64 (exp.f64 (neg.f64 x)) x) x)) (exp.f64 (neg.f64 x))) (*.f64 -1 (+.f64 1 (*.f64 -1 x)))) |
(-.f64 (+.f64 (*.f64 eps (-.f64 (*.f64 (exp.f64 (neg.f64 x)) 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 -1 (+.f64 1 (*.f64 -1 x)))) |
(-.f64 (+.f64 (*.f64 eps (-.f64 (*.f64 (exp.f64 (neg.f64 x)) 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))))) (*.f64 -1 (+.f64 1 (*.f64 -1 x)))) |
(*.f64 -1 (*.f64 eps x)) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 -1 (+.f64 1 (*.f64 -1 x)))) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 -1 (+.f64 1 (*.f64 -1 x)))) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 -1 (+.f64 1 (*.f64 -1 x)))) |
(*.f64 -1 (*.f64 eps x)) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (*.f64 -1 (+.f64 1 (*.f64 -1 x)))) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (*.f64 -1 (+.f64 1 (*.f64 -1 x)))) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (*.f64 -1 (+.f64 1 (*.f64 -1 x)))) |
2 |
(+.f64 2 (*.f64 -2 x)) |
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 2 (*.f64 -2 x))) |
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 2 (+.f64 (*.f64 -2 x) (*.f64 1/6 (*.f64 (pow.f64 (-.f64 eps 1) 3) (pow.f64 x 3)))))) |
(*.f64 -1 (*.f64 (+.f64 1 eps) x)) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x)) (exp.f64 (-.f64 (*.f64 eps x) x)))) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x)) (exp.f64 (-.f64 (*.f64 eps x) x)))) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x)) (exp.f64 (-.f64 (*.f64 eps x) x)))) |
(*.f64 -1 (*.f64 (+.f64 eps 1) x)) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) 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 eps 1) x) |
(*.f64 (+.f64 eps 1) x) |
(*.f64 (+.f64 eps 1) x) |
(*.f64 (+.f64 eps 1) x) |
(*.f64 (+.f64 eps 1) x) |
(*.f64 (+.f64 eps 1) x) |
(*.f64 (+.f64 eps 1) x) |
(*.f64 (+.f64 eps 1) x) |
| Outputs |
|---|
(-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (+.f64 1 (*.f64 -1 x)))) |
(-.f64 (exp.f64 (neg.f64 x)) (neg.f64 (+.f64 (neg.f64 x) 1))) |
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 1 x)) |
(-.f64 (+.f64 (*.f64 eps (-.f64 (*.f64 (exp.f64 (neg.f64 x)) x) x)) (exp.f64 (neg.f64 x))) (*.f64 -1 (+.f64 1 (*.f64 -1 x)))) |
(-.f64 (fma.f64 eps (fma.f64 (exp.f64 (neg.f64 x)) x (neg.f64 x)) (exp.f64 (neg.f64 x))) (neg.f64 (+.f64 (neg.f64 x) 1))) |
(+.f64 (fma.f64 eps (-.f64 (*.f64 x (exp.f64 (neg.f64 x))) x) (exp.f64 (neg.f64 x))) (-.f64 1 x)) |
(+.f64 (exp.f64 (neg.f64 x)) (fma.f64 eps (-.f64 (/.f64 x (exp.f64 x)) x) (-.f64 1 x))) |
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (fma.f64 eps (-.f64 (/.f64 x (exp.f64 x)) x) 1) x)) |
(-.f64 (+.f64 (*.f64 eps (-.f64 (*.f64 (exp.f64 (neg.f64 x)) 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 -1 (+.f64 1 (*.f64 -1 x)))) |
(-.f64 (fma.f64 eps (fma.f64 (exp.f64 (neg.f64 x)) x (neg.f64 x)) (fma.f64 1/2 (*.f64 (*.f64 (*.f64 eps eps) (exp.f64 (neg.f64 x))) (*.f64 x x)) (exp.f64 (neg.f64 x)))) (neg.f64 (+.f64 (neg.f64 x) 1))) |
(+.f64 (fma.f64 eps (-.f64 (*.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))) (exp.f64 (neg.f64 x)))) (-.f64 1 x)) |
(fma.f64 eps (-.f64 (/.f64 x (exp.f64 x)) x) (+.f64 (exp.f64 (neg.f64 x)) (fma.f64 (/.f64 (*.f64 x x) (exp.f64 x)) (*.f64 eps (*.f64 eps 1/2)) (-.f64 1 x)))) |
(fma.f64 eps (-.f64 (/.f64 x (exp.f64 x)) x) (-.f64 (fma.f64 (+.f64 (*.f64 1/2 (*.f64 x (*.f64 x (*.f64 eps eps)))) 1) (exp.f64 (neg.f64 x)) 1) x)) |
(-.f64 (+.f64 (*.f64 eps (-.f64 (*.f64 (exp.f64 (neg.f64 x)) 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))))) (*.f64 -1 (+.f64 1 (*.f64 -1 x)))) |
(-.f64 (fma.f64 eps (fma.f64 (exp.f64 (neg.f64 x)) x (neg.f64 x)) (fma.f64 1/2 (*.f64 (*.f64 (*.f64 eps eps) (exp.f64 (neg.f64 x))) (*.f64 x x)) (fma.f64 1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))) (exp.f64 (neg.f64 x))))) (neg.f64 (+.f64 (neg.f64 x) 1))) |
(+.f64 (fma.f64 eps (-.f64 (*.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))) (fma.f64 1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))) (exp.f64 (neg.f64 x))))) (-.f64 1 x)) |
(+.f64 (fma.f64 1/2 (*.f64 (/.f64 x (exp.f64 x)) (*.f64 x (*.f64 eps eps))) (fma.f64 1/6 (*.f64 (pow.f64 eps 3) (/.f64 (pow.f64 x 3) (exp.f64 x))) (exp.f64 (neg.f64 x)))) (fma.f64 eps (-.f64 (/.f64 x (exp.f64 x)) x) (-.f64 1 x))) |
(+.f64 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (/.f64 (*.f64 x x) (exp.f64 x)) (+.f64 (*.f64 (*.f64 1/6 (pow.f64 eps 3)) x) (*.f64 eps (*.f64 eps 1/2))))) (-.f64 (fma.f64 eps (-.f64 (/.f64 x (exp.f64 x)) x) 1) x)) |
(*.f64 -1 (*.f64 eps x)) |
(*.f64 (neg.f64 eps) x) |
(*.f64 (neg.f64 x) eps) |
(*.f64 x (neg.f64 eps)) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 -1 (+.f64 1 (*.f64 -1 x)))) |
(-.f64 (fma.f64 -1 (*.f64 x eps) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (neg.f64 (+.f64 (neg.f64 x) 1))) |
(+.f64 (-.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (*.f64 x eps)) (-.f64 1 x)) |
(+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (-.f64 1 (fma.f64 x eps x))) |
(+.f64 1 (-.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (fma.f64 x eps x))) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 -1 (+.f64 1 (*.f64 -1 x)))) |
(-.f64 (fma.f64 -1 (*.f64 x eps) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (neg.f64 (+.f64 (neg.f64 x) 1))) |
(+.f64 (-.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (*.f64 x eps)) (-.f64 1 x)) |
(+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (-.f64 1 (fma.f64 x eps x))) |
(+.f64 1 (-.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (fma.f64 x eps x))) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 -1 (+.f64 1 (*.f64 -1 x)))) |
(-.f64 (fma.f64 -1 (*.f64 x eps) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (neg.f64 (+.f64 (neg.f64 x) 1))) |
(+.f64 (-.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (*.f64 x eps)) (-.f64 1 x)) |
(+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (-.f64 1 (fma.f64 x eps x))) |
(+.f64 1 (-.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (fma.f64 x eps x))) |
(*.f64 -1 (*.f64 eps x)) |
(*.f64 (neg.f64 eps) x) |
(*.f64 (neg.f64 x) eps) |
(*.f64 x (neg.f64 eps)) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (*.f64 -1 (+.f64 1 (*.f64 -1 x)))) |
(-.f64 (fma.f64 -1 (*.f64 x eps) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (neg.f64 (+.f64 (neg.f64 x) 1))) |
(+.f64 (-.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (*.f64 x eps)) (-.f64 1 x)) |
(+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (-.f64 1 (fma.f64 x eps x))) |
(+.f64 1 (-.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (fma.f64 x eps x))) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (*.f64 -1 (+.f64 1 (*.f64 -1 x)))) |
(-.f64 (fma.f64 -1 (*.f64 x eps) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (neg.f64 (+.f64 (neg.f64 x) 1))) |
(+.f64 (-.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (*.f64 x eps)) (-.f64 1 x)) |
(+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (-.f64 1 (fma.f64 x eps x))) |
(+.f64 1 (-.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (fma.f64 x eps x))) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (*.f64 -1 (+.f64 1 (*.f64 -1 x)))) |
(-.f64 (fma.f64 -1 (*.f64 x eps) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (neg.f64 (+.f64 (neg.f64 x) 1))) |
(+.f64 (-.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (*.f64 x eps)) (-.f64 1 x)) |
(+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (-.f64 1 (fma.f64 x eps x))) |
(+.f64 1 (-.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (fma.f64 x eps x))) |
2 |
(+.f64 2 (*.f64 -2 x)) |
(+.f64 2 (*.f64 x -2)) |
(fma.f64 x -2 2) |
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 2 (*.f64 -2 x))) |
(fma.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (+.f64 eps -1) 2)) (+.f64 2 (*.f64 x -2))) |
(fma.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (+.f64 -1 eps) 2)) (fma.f64 x -2 2)) |
(fma.f64 x -2 (fma.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (+.f64 -1 eps) 2)) 2)) |
(fma.f64 x -2 (fma.f64 (pow.f64 (+.f64 -1 eps) 2) (*.f64 x (*.f64 x 1/2)) 2)) |
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 2 (+.f64 (*.f64 -2 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 2 (fma.f64 -2 x (*.f64 1/6 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps -1) 3)))))) |
(+.f64 (fma.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (+.f64 -1 eps) 2)) (fma.f64 x -2 2)) (*.f64 1/6 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 -1 eps) 3)))) |
(fma.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (+.f64 -1 eps) 2)) (fma.f64 x -2 (fma.f64 1/6 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 -1 eps) 3)) 2))) |
(fma.f64 1/2 (*.f64 x (*.f64 x (pow.f64 (+.f64 -1 eps) 2))) (fma.f64 x -2 (fma.f64 (pow.f64 (+.f64 -1 eps) 3) (*.f64 1/6 (pow.f64 x 3)) 2))) |
(*.f64 -1 (*.f64 (+.f64 1 eps) x)) |
(neg.f64 (fma.f64 eps x x)) |
(neg.f64 (fma.f64 x eps x)) |
(*.f64 x (-.f64 -1 eps)) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x)) (exp.f64 (-.f64 (*.f64 eps x) x)))) |
(-.f64 (fma.f64 -1 (*.f64 x eps) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (neg.f64 (+.f64 (neg.f64 x) 1))) |
(+.f64 (-.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (*.f64 x eps)) (-.f64 1 x)) |
(+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (-.f64 1 (fma.f64 x eps x))) |
(+.f64 1 (-.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (fma.f64 x eps x))) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x)) (exp.f64 (-.f64 (*.f64 eps x) x)))) |
(-.f64 (fma.f64 -1 (*.f64 x eps) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (neg.f64 (+.f64 (neg.f64 x) 1))) |
(+.f64 (-.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (*.f64 x eps)) (-.f64 1 x)) |
(+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (-.f64 1 (fma.f64 x eps x))) |
(+.f64 1 (-.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (fma.f64 x eps x))) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x)) (exp.f64 (-.f64 (*.f64 eps x) x)))) |
(-.f64 (fma.f64 -1 (*.f64 x eps) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (neg.f64 (+.f64 (neg.f64 x) 1))) |
(+.f64 (-.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (*.f64 x eps)) (-.f64 1 x)) |
(+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (-.f64 1 (fma.f64 x eps x))) |
(+.f64 1 (-.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (fma.f64 x eps x))) |
(*.f64 -1 (*.f64 (+.f64 eps 1) x)) |
(neg.f64 (fma.f64 eps x x)) |
(neg.f64 (fma.f64 x eps x)) |
(*.f64 x (-.f64 -1 eps)) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))) |
(-.f64 (fma.f64 -1 (*.f64 x eps) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (neg.f64 (+.f64 (neg.f64 x) 1))) |
(+.f64 (-.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (*.f64 x eps)) (-.f64 1 x)) |
(+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (-.f64 1 (fma.f64 x eps x))) |
(+.f64 1 (-.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (fma.f64 x eps x))) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))) |
(-.f64 (fma.f64 -1 (*.f64 x eps) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (neg.f64 (+.f64 (neg.f64 x) 1))) |
(+.f64 (-.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (*.f64 x eps)) (-.f64 1 x)) |
(+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (-.f64 1 (fma.f64 x eps x))) |
(+.f64 1 (-.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (fma.f64 x eps x))) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))) |
(-.f64 (fma.f64 -1 (*.f64 x eps) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (neg.f64 (+.f64 (neg.f64 x) 1))) |
(+.f64 (-.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (*.f64 x eps)) (-.f64 1 x)) |
(+.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (-.f64 1 (fma.f64 x eps x))) |
(+.f64 1 (-.f64 (pow.f64 (exp.f64 x) (+.f64 -1 eps)) (fma.f64 x eps x))) |
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 eps 1) x) |
(fma.f64 eps x x) |
(fma.f64 x eps x) |
(*.f64 (+.f64 eps 1) x) |
(fma.f64 eps x x) |
(fma.f64 x eps x) |
(*.f64 (+.f64 eps 1) x) |
(fma.f64 eps x x) |
(fma.f64 x eps x) |
(*.f64 (+.f64 eps 1) x) |
(fma.f64 eps x x) |
(fma.f64 x eps x) |
(*.f64 (+.f64 eps 1) x) |
(fma.f64 eps x x) |
(fma.f64 x eps x) |
(*.f64 (+.f64 eps 1) x) |
(fma.f64 eps x x) |
(fma.f64 x eps x) |
(*.f64 (+.f64 eps 1) x) |
(fma.f64 eps x x) |
(fma.f64 x eps x) |
(*.f64 (+.f64 eps 1) x) |
(fma.f64 eps x x) |
(fma.f64 x eps x) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (*.f64 (-.f64 1 eps) x) | |
| ✓ | 0.0b | (-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 x eps))))) |
| 0.0b | (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) | |
| ✓ | 0.0b | (exp.f64 (neg.f64 (*.f64 x eps))) |
Compiled 79 to 42 computations (46.8% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | eps | @ | 0 | (-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 x eps))))) |
| 1.0ms | x | @ | 0 | (exp.f64 (neg.f64 (*.f64 x eps))) |
| 1.0ms | x | @ | inf | (-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 x eps))))) |
| 1.0ms | x | @ | -inf | (-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 x eps))))) |
| 1.0ms | eps | @ | -inf | (-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 x eps))))) |
| 1× | batch-egg-rewrite |
| 615× | log-prod_binary64 |
| 574× | prod-diff_binary64 |
| 364× | fma-def_binary64 |
| 206× | pow1/3_binary64 |
| 199× | expm1-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 29 |
| 1 | 293 | 23 |
| 2 | 4002 | 23 |
| 1× | node limit |
| Inputs |
|---|
(exp.f64 (neg.f64 (*.f64 x eps))) |
(-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 x eps))))) |
| Outputs |
|---|
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x) (pow.f64 (exp.f64 (-.f64 1 eps)) x))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) x))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) x)) 2) (pow.f64 (exp.f64 eps) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 eps) x) (pow.f64 (exp.f64 (-.f64 1 eps)) x))) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 eps) x) (pow.f64 (exp.f64 (-.f64 1 eps)) x))) 2) (+.f64 (pow.f64 (exp.f64 eps) x) (pow.f64 (exp.f64 eps) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 eps) x) (pow.f64 (exp.f64 (-.f64 1 eps)) x))) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 eps) x) (pow.f64 (exp.f64 (-.f64 1 eps)) x))) 2) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) x))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) x)) 2) (pow.f64 (exp.f64 eps) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 eps) x) (pow.f64 (exp.f64 (-.f64 1 eps)) x))) 2) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 eps) x) (pow.f64 (exp.f64 (-.f64 1 eps)) x))) (+.f64 (pow.f64 (exp.f64 eps) x) (pow.f64 (exp.f64 eps) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 eps) x) (pow.f64 (exp.f64 (-.f64 1 eps)) x))) 2) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 eps) x) (pow.f64 (exp.f64 (-.f64 1 eps)) x))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) x))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) x)) 2) (pow.f64 (exp.f64 eps) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2) (pow.f64 (exp.f64 eps) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (pow.f64 (exp.f64 eps) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) x)) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) x)) 2) (pow.f64 (exp.f64 (-.f64 1 eps)) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) x)) 2) (cbrt.f64 (pow.f64 (exp.f64 eps) x)) (pow.f64 (exp.f64 (-.f64 1 eps)) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) x)) 2) (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) x))) (pow.f64 (exp.f64 (-.f64 1 eps)) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 eps) x) (pow.f64 (exp.f64 (-.f64 1 eps)) x))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 eps) x) (pow.f64 (exp.f64 (-.f64 1 eps)) x))) (+.f64 (pow.f64 (exp.f64 eps) x) (pow.f64 (exp.f64 eps) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 eps) x) (pow.f64 (exp.f64 (-.f64 1 eps)) x))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 eps) x) (pow.f64 (exp.f64 (-.f64 1 eps)) x))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) x))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) x)) 2) (pow.f64 (exp.f64 eps) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (pow.f64 (exp.f64 eps) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) x)) (sqrt.f64 (pow.f64 (exp.f64 eps) x)) (pow.f64 (exp.f64 (-.f64 1 eps)) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) x)) (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) x))) (pow.f64 (exp.f64 (-.f64 1 eps)) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) x)) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) x)) -1) (pow.f64 (exp.f64 (-.f64 1 eps)) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 3) (pow.f64 (pow.f64 (exp.f64 eps) x) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 eps) x) (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2) (exp.f64 (fma.f64 x (-.f64 1 eps) (*.f64 x eps))))) (+.f64 (pow.f64 (exp.f64 eps) x) (pow.f64 (exp.f64 eps) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x) 3) (pow.f64 (pow.f64 (exp.f64 eps) x) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 eps) x) (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2) (exp.f64 (fma.f64 x (-.f64 1 eps) (*.f64 x eps))))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) x))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) x)) 2) (pow.f64 (exp.f64 eps) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) x))) (sqrt.f64 (pow.f64 (exp.f64 eps) x)) (pow.f64 (exp.f64 (-.f64 1 eps)) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (sqrt.f64 (pow.f64 (exp.f64 eps) x))) (-.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (sqrt.f64 (pow.f64 (exp.f64 eps) x))) (+.f64 (pow.f64 (exp.f64 eps) x) (pow.f64 (exp.f64 eps) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (sqrt.f64 (pow.f64 (exp.f64 eps) x))) (-.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) (sqrt.f64 (pow.f64 (exp.f64 eps) x))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) x))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) x)) 2) (pow.f64 (exp.f64 eps) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) x)) 2)) (cbrt.f64 (pow.f64 (exp.f64 eps) x)) (pow.f64 (exp.f64 (-.f64 1 eps)) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) x)) 2)) (cbrt.f64 (pow.f64 (exp.f64 eps) x)) (pow.f64 (exp.f64 (-.f64 1 eps)) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sqrt.f64 (pow.f64 (exp.f64 eps) x))) (sqrt.f64 (pow.f64 (exp.f64 eps) x)) (pow.f64 (exp.f64 (-.f64 1 eps)) x)))))) |
| 1× | egg-herbie |
| 701× | cancel-sign-sub-inv_binary64 |
| 454× | fma-neg_binary64 |
| 379× | fma-def_binary64 |
| 353× | associate-*l*_binary64 |
| 317× | associate-*r*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 83 | 887 |
| 1 | 261 | 810 |
| 2 | 829 | 764 |
| 3 | 3632 | 758 |
| 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 1 (exp.f64 (neg.f64 x))) |
(+.f64 (*.f64 eps (-.f64 (*.f64 (exp.f64 (neg.f64 x)) x) x)) (+.f64 1 (exp.f64 (neg.f64 x)))) |
(+.f64 (*.f64 eps (-.f64 (*.f64 (exp.f64 (neg.f64 x)) x) x)) (+.f64 1 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (-.f64 (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (*.f64 -1/2 (pow.f64 x 2))) (pow.f64 eps 2))))) |
(+.f64 (*.f64 eps (-.f64 (*.f64 (exp.f64 (neg.f64 x)) x) x)) (+.f64 1 (+.f64 (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))) (*.f64 1/6 (pow.f64 x 3)))) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (-.f64 (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (*.f64 -1/2 (pow.f64 x 2))) (pow.f64 eps 2)))))) |
(-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x))))) |
(-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x))))) |
(-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x))))) |
(-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x))))) |
(-.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x))))) |
(-.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x))))) |
(-.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x))))) |
(-.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x))))) |
2 |
(+.f64 2 (*.f64 -1 x)) |
(+.f64 2 (+.f64 (*.f64 -1 x) (*.f64 (-.f64 (*.f64 1/2 (pow.f64 (-.f64 eps 1) 2)) (*.f64 -1/2 (pow.f64 eps 2))) (pow.f64 x 2)))) |
(+.f64 (*.f64 (-.f64 (*.f64 1/6 (pow.f64 (-.f64 eps 1) 3)) (*.f64 1/6 (pow.f64 eps 3))) (pow.f64 x 3)) (+.f64 2 (+.f64 (*.f64 -1 x) (*.f64 (-.f64 (*.f64 1/2 (pow.f64 (-.f64 eps 1) 2)) (*.f64 -1/2 (pow.f64 eps 2))) (pow.f64 x 2))))) |
(-.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x))))) |
(-.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x))))) |
(-.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x))))) |
(-.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x))))) |
(-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x))))) |
(-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x))))) |
(-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x))))) |
(-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) 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) |
(fma.f64 eps (neg.f64 x) 1) |
(-.f64 1 (*.f64 eps x)) |
(+.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 (*.f64 1/2 (*.f64 eps eps)) (*.f64 x x))) |
(-.f64 (fma.f64 1/2 (*.f64 eps (*.f64 eps (*.f64 x x))) 1) (*.f64 eps x)) |
(-.f64 (fma.f64 (*.f64 eps eps) (*.f64 1/2 (*.f64 x x)) 1) (*.f64 eps x)) |
(+.f64 1 (*.f64 eps (-.f64 (*.f64 1/2 (*.f64 eps (*.f64 x 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 (*.f64 1/2 (*.f64 eps eps)) (*.f64 x x)))) |
(+.f64 (fma.f64 eps (neg.f64 x) 1) (fma.f64 1/2 (*.f64 eps (*.f64 eps (*.f64 x x))) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3))))) |
(-.f64 (fma.f64 1/2 (*.f64 eps (*.f64 eps (*.f64 x x))) (fma.f64 (pow.f64 eps 3) (*.f64 -1/6 (pow.f64 x 3)) 1)) (*.f64 eps x)) |
(+.f64 1 (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 eps (*.f64 eps 1/2)) (*.f64 -1/6 (*.f64 x (pow.f64 eps 3))))) eps))) |
(exp.f64 (neg.f64 (*.f64 eps x))) |
(exp.f64 (*.f64 eps (neg.f64 x))) |
(pow.f64 (exp.f64 (neg.f64 eps)) x) |
(pow.f64 (exp.f64 (neg.f64 x)) eps) |
(exp.f64 (neg.f64 (*.f64 eps x))) |
(exp.f64 (*.f64 eps (neg.f64 x))) |
(pow.f64 (exp.f64 (neg.f64 eps)) x) |
(pow.f64 (exp.f64 (neg.f64 x)) eps) |
(exp.f64 (neg.f64 (*.f64 eps x))) |
(exp.f64 (*.f64 eps (neg.f64 x))) |
(pow.f64 (exp.f64 (neg.f64 eps)) x) |
(pow.f64 (exp.f64 (neg.f64 x)) eps) |
(exp.f64 (neg.f64 (*.f64 eps x))) |
(exp.f64 (*.f64 eps (neg.f64 x))) |
(pow.f64 (exp.f64 (neg.f64 eps)) x) |
(pow.f64 (exp.f64 (neg.f64 x)) eps) |
(exp.f64 (neg.f64 (*.f64 eps x))) |
(exp.f64 (*.f64 eps (neg.f64 x))) |
(pow.f64 (exp.f64 (neg.f64 eps)) x) |
(pow.f64 (exp.f64 (neg.f64 x)) eps) |
(exp.f64 (neg.f64 (*.f64 eps x))) |
(exp.f64 (*.f64 eps (neg.f64 x))) |
(pow.f64 (exp.f64 (neg.f64 eps)) x) |
(pow.f64 (exp.f64 (neg.f64 x)) eps) |
(exp.f64 (neg.f64 (*.f64 eps x))) |
(exp.f64 (*.f64 eps (neg.f64 x))) |
(pow.f64 (exp.f64 (neg.f64 eps)) x) |
(pow.f64 (exp.f64 (neg.f64 x)) eps) |
(exp.f64 (neg.f64 (*.f64 eps x))) |
(exp.f64 (*.f64 eps (neg.f64 x))) |
(pow.f64 (exp.f64 (neg.f64 eps)) x) |
(pow.f64 (exp.f64 (neg.f64 x)) eps) |
1 |
(+.f64 (*.f64 -1 (*.f64 eps x)) 1) |
(fma.f64 -1 (*.f64 eps x) 1) |
(fma.f64 eps (neg.f64 x) 1) |
(-.f64 1 (*.f64 eps x)) |
(+.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 (*.f64 1/2 (*.f64 eps eps)) (*.f64 x x))) |
(-.f64 (fma.f64 1/2 (*.f64 eps (*.f64 eps (*.f64 x x))) 1) (*.f64 eps x)) |
(-.f64 (fma.f64 (*.f64 eps eps) (*.f64 1/2 (*.f64 x x)) 1) (*.f64 eps x)) |
(+.f64 1 (*.f64 eps (-.f64 (*.f64 1/2 (*.f64 eps (*.f64 x 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 (*.f64 1/2 (*.f64 eps eps)) (*.f64 x x)))) |
(+.f64 (fma.f64 eps (neg.f64 x) 1) (fma.f64 1/2 (*.f64 eps (*.f64 eps (*.f64 x x))) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3))))) |
(-.f64 (fma.f64 1/2 (*.f64 eps (*.f64 eps (*.f64 x x))) (fma.f64 (pow.f64 eps 3) (*.f64 -1/6 (pow.f64 x 3)) 1)) (*.f64 eps x)) |
(+.f64 1 (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 eps (*.f64 eps 1/2)) (*.f64 -1/6 (*.f64 x (pow.f64 eps 3))))) eps))) |
(exp.f64 (neg.f64 (*.f64 eps x))) |
(exp.f64 (*.f64 eps (neg.f64 x))) |
(pow.f64 (exp.f64 (neg.f64 eps)) x) |
(pow.f64 (exp.f64 (neg.f64 x)) eps) |
(exp.f64 (neg.f64 (*.f64 eps x))) |
(exp.f64 (*.f64 eps (neg.f64 x))) |
(pow.f64 (exp.f64 (neg.f64 eps)) x) |
(pow.f64 (exp.f64 (neg.f64 x)) eps) |
(exp.f64 (neg.f64 (*.f64 eps x))) |
(exp.f64 (*.f64 eps (neg.f64 x))) |
(pow.f64 (exp.f64 (neg.f64 eps)) x) |
(pow.f64 (exp.f64 (neg.f64 x)) eps) |
(exp.f64 (neg.f64 (*.f64 eps x))) |
(exp.f64 (*.f64 eps (neg.f64 x))) |
(pow.f64 (exp.f64 (neg.f64 eps)) x) |
(pow.f64 (exp.f64 (neg.f64 x)) eps) |
(exp.f64 (neg.f64 (*.f64 eps x))) |
(exp.f64 (*.f64 eps (neg.f64 x))) |
(pow.f64 (exp.f64 (neg.f64 eps)) x) |
(pow.f64 (exp.f64 (neg.f64 x)) eps) |
(exp.f64 (neg.f64 (*.f64 eps x))) |
(exp.f64 (*.f64 eps (neg.f64 x))) |
(pow.f64 (exp.f64 (neg.f64 eps)) x) |
(pow.f64 (exp.f64 (neg.f64 x)) eps) |
(exp.f64 (neg.f64 (*.f64 eps x))) |
(exp.f64 (*.f64 eps (neg.f64 x))) |
(pow.f64 (exp.f64 (neg.f64 eps)) x) |
(pow.f64 (exp.f64 (neg.f64 x)) eps) |
(exp.f64 (neg.f64 (*.f64 eps x))) |
(exp.f64 (*.f64 eps (neg.f64 x))) |
(pow.f64 (exp.f64 (neg.f64 eps)) x) |
(pow.f64 (exp.f64 (neg.f64 x)) eps) |
(+.f64 1 (exp.f64 (neg.f64 x))) |
(+.f64 (*.f64 eps (-.f64 (*.f64 (exp.f64 (neg.f64 x)) x) x)) (+.f64 1 (exp.f64 (neg.f64 x)))) |
(fma.f64 eps (-.f64 (*.f64 x (exp.f64 (neg.f64 x))) x) (+.f64 1 (exp.f64 (neg.f64 x)))) |
(+.f64 1 (fma.f64 eps (-.f64 (/.f64 x (exp.f64 x)) x) (exp.f64 (neg.f64 x)))) |
(+.f64 (exp.f64 (neg.f64 x)) (fma.f64 eps (-.f64 (/.f64 x (exp.f64 x)) x) 1)) |
(+.f64 (*.f64 eps (-.f64 (*.f64 (exp.f64 (neg.f64 x)) x) x)) (+.f64 1 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (-.f64 (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (*.f64 -1/2 (pow.f64 x 2))) (pow.f64 eps 2))))) |
(fma.f64 eps (-.f64 (*.f64 x (exp.f64 (neg.f64 x))) x) (+.f64 (+.f64 1 (exp.f64 (neg.f64 x))) (*.f64 (*.f64 eps eps) (fma.f64 1/2 (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))) (neg.f64 (*.f64 (*.f64 x x) -1/2)))))) |
(+.f64 (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) (-.f64 (/.f64 1/2 (exp.f64 x)) -1/2)) (exp.f64 (neg.f64 x))) (fma.f64 eps (-.f64 (*.f64 x (exp.f64 (neg.f64 x))) x) 1)) |
(+.f64 (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) (fma.f64 1/2 (exp.f64 (neg.f64 x)) 1/2)) (exp.f64 (neg.f64 x))) (fma.f64 eps (-.f64 (/.f64 x (exp.f64 x)) x) 1)) |
(+.f64 (fma.f64 (*.f64 eps eps) (*.f64 x (*.f64 1/2 (+.f64 (/.f64 x (exp.f64 x)) x))) (exp.f64 (neg.f64 x))) (fma.f64 eps (-.f64 (/.f64 x (exp.f64 x)) x) 1)) |
(+.f64 (*.f64 eps (-.f64 (*.f64 (exp.f64 (neg.f64 x)) x) x)) (+.f64 1 (+.f64 (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))) (*.f64 1/6 (pow.f64 x 3)))) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (-.f64 (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (*.f64 -1/2 (pow.f64 x 2))) (pow.f64 eps 2)))))) |
(fma.f64 eps (-.f64 (*.f64 x (exp.f64 (neg.f64 x))) x) (+.f64 1 (fma.f64 (pow.f64 eps 3) (*.f64 1/6 (-.f64 (*.f64 (pow.f64 x 3) (exp.f64 (neg.f64 x))) (pow.f64 x 3))) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 eps eps) (fma.f64 1/2 (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))) (neg.f64 (*.f64 (*.f64 x x) -1/2)))))))) |
(+.f64 (fma.f64 (pow.f64 eps 3) (*.f64 (pow.f64 x 3) (-.f64 (/.f64 1/6 (exp.f64 x)) 1/6)) (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) (-.f64 (/.f64 1/2 (exp.f64 x)) -1/2)) (exp.f64 (neg.f64 x)))) (fma.f64 eps (-.f64 (*.f64 x (exp.f64 (neg.f64 x))) x) 1)) |
(+.f64 (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) (fma.f64 1/2 (exp.f64 (neg.f64 x)) 1/2)) (exp.f64 (neg.f64 x))) (fma.f64 eps (-.f64 (/.f64 x (exp.f64 x)) x) (fma.f64 (pow.f64 eps 3) (*.f64 (pow.f64 x 3) (+.f64 -1/6 (/.f64 1/6 (exp.f64 x)))) 1))) |
(+.f64 (fma.f64 (*.f64 eps eps) (*.f64 x (*.f64 1/2 (+.f64 (/.f64 x (exp.f64 x)) x))) (fma.f64 (pow.f64 eps 3) (*.f64 (pow.f64 x 3) (+.f64 -1/6 (/.f64 1/6 (exp.f64 x)))) (exp.f64 (neg.f64 x)))) (fma.f64 eps (-.f64 (/.f64 x (exp.f64 x)) x) 1)) |
(-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x))))) |
(-.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (neg.f64 (exp.f64 (*.f64 eps (neg.f64 x))))) |
(+.f64 (pow.f64 (exp.f64 (neg.f64 eps)) x) (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))) |
(+.f64 (pow.f64 (exp.f64 (neg.f64 x)) eps) (pow.f64 (exp.f64 x) (+.f64 -1 eps))) |
(-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x))))) |
(-.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (neg.f64 (exp.f64 (*.f64 eps (neg.f64 x))))) |
(+.f64 (pow.f64 (exp.f64 (neg.f64 eps)) x) (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))) |
(+.f64 (pow.f64 (exp.f64 (neg.f64 x)) eps) (pow.f64 (exp.f64 x) (+.f64 -1 eps))) |
(-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x))))) |
(-.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (neg.f64 (exp.f64 (*.f64 eps (neg.f64 x))))) |
(+.f64 (pow.f64 (exp.f64 (neg.f64 eps)) x) (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))) |
(+.f64 (pow.f64 (exp.f64 (neg.f64 x)) eps) (pow.f64 (exp.f64 x) (+.f64 -1 eps))) |
(-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x))))) |
(-.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (neg.f64 (exp.f64 (*.f64 eps (neg.f64 x))))) |
(+.f64 (pow.f64 (exp.f64 (neg.f64 eps)) x) (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))) |
(+.f64 (pow.f64 (exp.f64 (neg.f64 x)) eps) (pow.f64 (exp.f64 x) (+.f64 -1 eps))) |
(-.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x))))) |
(-.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (neg.f64 (exp.f64 (*.f64 eps (neg.f64 x))))) |
(+.f64 (pow.f64 (exp.f64 (neg.f64 eps)) x) (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))) |
(+.f64 (pow.f64 (exp.f64 (neg.f64 x)) eps) (pow.f64 (exp.f64 x) (+.f64 -1 eps))) |
(-.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x))))) |
(-.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (neg.f64 (exp.f64 (*.f64 eps (neg.f64 x))))) |
(+.f64 (pow.f64 (exp.f64 (neg.f64 eps)) x) (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))) |
(+.f64 (pow.f64 (exp.f64 (neg.f64 x)) eps) (pow.f64 (exp.f64 x) (+.f64 -1 eps))) |
(-.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x))))) |
(-.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (neg.f64 (exp.f64 (*.f64 eps (neg.f64 x))))) |
(+.f64 (pow.f64 (exp.f64 (neg.f64 eps)) x) (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))) |
(+.f64 (pow.f64 (exp.f64 (neg.f64 x)) eps) (pow.f64 (exp.f64 x) (+.f64 -1 eps))) |
(-.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x))))) |
(-.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (neg.f64 (exp.f64 (*.f64 eps (neg.f64 x))))) |
(+.f64 (pow.f64 (exp.f64 (neg.f64 eps)) x) (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))) |
(+.f64 (pow.f64 (exp.f64 (neg.f64 x)) eps) (pow.f64 (exp.f64 x) (+.f64 -1 eps))) |
2 |
(+.f64 2 (*.f64 -1 x)) |
(+.f64 2 (neg.f64 x)) |
(-.f64 2 x) |
(+.f64 2 (+.f64 (*.f64 -1 x) (*.f64 (-.f64 (*.f64 1/2 (pow.f64 (-.f64 eps 1) 2)) (*.f64 -1/2 (pow.f64 eps 2))) (pow.f64 x 2)))) |
(+.f64 2 (fma.f64 -1 x (*.f64 (*.f64 x x) (+.f64 (*.f64 1/2 (pow.f64 (+.f64 eps -1) 2)) (*.f64 1/2 (*.f64 eps eps)))))) |
(+.f64 2 (-.f64 (*.f64 x (*.f64 x (*.f64 1/2 (+.f64 (pow.f64 (+.f64 -1 eps) 2) (*.f64 eps eps))))) x)) |
(fma.f64 x (*.f64 (*.f64 x 1/2) (+.f64 (*.f64 eps eps) (pow.f64 (+.f64 -1 eps) 2))) (-.f64 2 x)) |
(+.f64 (*.f64 (-.f64 (*.f64 1/6 (pow.f64 (-.f64 eps 1) 3)) (*.f64 1/6 (pow.f64 eps 3))) (pow.f64 x 3)) (+.f64 2 (+.f64 (*.f64 -1 x) (*.f64 (-.f64 (*.f64 1/2 (pow.f64 (-.f64 eps 1) 2)) (*.f64 -1/2 (pow.f64 eps 2))) (pow.f64 x 2))))) |
(fma.f64 (*.f64 1/6 (-.f64 (pow.f64 (+.f64 eps -1) 3) (pow.f64 eps 3))) (pow.f64 x 3) (+.f64 2 (fma.f64 -1 x (*.f64 (*.f64 x x) (+.f64 (*.f64 1/2 (pow.f64 (+.f64 eps -1) 2)) (*.f64 1/2 (*.f64 eps eps))))))) |
(+.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 1/2 (+.f64 (pow.f64 (+.f64 -1 eps) 2) (*.f64 eps eps))))) x) (fma.f64 (pow.f64 x 3) (*.f64 1/6 (-.f64 (pow.f64 (+.f64 -1 eps) 3) (pow.f64 eps 3))) 2)) |
(fma.f64 (pow.f64 x 3) (*.f64 1/6 (-.f64 (pow.f64 (+.f64 -1 eps) 3) (pow.f64 eps 3))) (fma.f64 x (*.f64 (*.f64 x 1/2) (+.f64 (*.f64 eps eps) (pow.f64 (+.f64 -1 eps) 2))) (-.f64 2 x))) |
(-.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x))))) |
(-.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (neg.f64 (exp.f64 (*.f64 eps (neg.f64 x))))) |
(+.f64 (pow.f64 (exp.f64 (neg.f64 eps)) x) (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))) |
(+.f64 (pow.f64 (exp.f64 (neg.f64 x)) eps) (pow.f64 (exp.f64 x) (+.f64 -1 eps))) |
(-.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x))))) |
(-.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (neg.f64 (exp.f64 (*.f64 eps (neg.f64 x))))) |
(+.f64 (pow.f64 (exp.f64 (neg.f64 eps)) x) (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))) |
(+.f64 (pow.f64 (exp.f64 (neg.f64 x)) eps) (pow.f64 (exp.f64 x) (+.f64 -1 eps))) |
(-.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x))))) |
(-.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (neg.f64 (exp.f64 (*.f64 eps (neg.f64 x))))) |
(+.f64 (pow.f64 (exp.f64 (neg.f64 eps)) x) (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))) |
(+.f64 (pow.f64 (exp.f64 (neg.f64 x)) eps) (pow.f64 (exp.f64 x) (+.f64 -1 eps))) |
(-.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x))))) |
(-.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (neg.f64 (exp.f64 (*.f64 eps (neg.f64 x))))) |
(+.f64 (pow.f64 (exp.f64 (neg.f64 eps)) x) (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))) |
(+.f64 (pow.f64 (exp.f64 (neg.f64 x)) eps) (pow.f64 (exp.f64 x) (+.f64 -1 eps))) |
(-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x))))) |
(-.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (neg.f64 (exp.f64 (*.f64 eps (neg.f64 x))))) |
(+.f64 (pow.f64 (exp.f64 (neg.f64 eps)) x) (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))) |
(+.f64 (pow.f64 (exp.f64 (neg.f64 x)) eps) (pow.f64 (exp.f64 x) (+.f64 -1 eps))) |
(-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x))))) |
(-.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (neg.f64 (exp.f64 (*.f64 eps (neg.f64 x))))) |
(+.f64 (pow.f64 (exp.f64 (neg.f64 eps)) x) (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))) |
(+.f64 (pow.f64 (exp.f64 (neg.f64 x)) eps) (pow.f64 (exp.f64 x) (+.f64 -1 eps))) |
(-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x))))) |
(-.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (neg.f64 (exp.f64 (*.f64 eps (neg.f64 x))))) |
(+.f64 (pow.f64 (exp.f64 (neg.f64 eps)) x) (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))) |
(+.f64 (pow.f64 (exp.f64 (neg.f64 x)) eps) (pow.f64 (exp.f64 x) (+.f64 -1 eps))) |
(-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x))))) |
(-.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (neg.f64 (exp.f64 (*.f64 eps (neg.f64 x))))) |
(+.f64 (pow.f64 (exp.f64 (neg.f64 eps)) x) (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))) |
(+.f64 (pow.f64 (exp.f64 (neg.f64 x)) eps) (pow.f64 (exp.f64 x) (+.f64 -1 eps))) |
Compiled 16560 to 10229 computations (38.2% saved)
9 alts after pruning (6 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 679 | 5 | 684 |
| Fresh | 3 | 1 | 4 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 3 | 5 |
| Total | 685 | 9 | 694 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.6b | (/.f64 (*.f64 2 (/.f64 (+.f64 x 1) (exp.f64 x))) 2) |
| ▶ | 17.0b | (/.f64 (+.f64 1 (exp.f64 (-.f64 (*.f64 x eps) x))) 2) |
| ▶ | 17.4b | (/.f64 (+.f64 2 (*.f64 (-.f64 eps 1) x)) 2) |
| ▶ | 12.0b | (/.f64 (-.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 x eps))))) 2) |
| 17.0b | (/.f64 (+.f64 1 (pow.f64 (exp.f64 -1) (*.f64 (-.f64 1 eps) x))) 2) | |
| ✓ | 46.7b | (*.f64 1/2 0) |
| ▶ | 59.1b | (/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (/.f64 (-.f64 1 x) eps)) 2) |
| ▶ | 16.6b | (/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (-.f64 1 (*.f64 eps x)))) 2) |
| ✓ | 16.3b | (/.f64 2 2) |
Compiled 216 to 172 computations (20.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (*.f64 eps x) x) |
| ✓ | 0.0b | (-.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 x eps))))) |
| ✓ | 0.0b | (exp.f64 (-.f64 (*.f64 eps x) x)) |
| 0.0b | (exp.f64 (neg.f64 (*.f64 x eps))) |
Compiled 69 to 20 computations (71% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | eps | @ | 0 | (-.f64 (*.f64 eps x) x) |
| 0.0ms | eps | @ | 0 | (exp.f64 (-.f64 (*.f64 eps x) x)) |
| 0.0ms | eps | @ | inf | (-.f64 (*.f64 eps x) x) |
| 0.0ms | x | @ | -inf | (-.f64 (*.f64 eps x) x) |
| 0.0ms | x | @ | 0 | (-.f64 (*.f64 eps x) x) |
| 3× | egg-rewrite |
| 1× | egg-rewrite-iter-limit |
| 1× | batch-egg-rewrite |
| 702× | pow1_binary64 |
| 651× | add-log-exp_binary64 |
| 651× | log1p-expm1-u_binary64 |
| 651× | expm1-log1p-u_binary64 |
| 636× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 27 |
| 1 | 263 | 27 |
| 2 | 3468 | 27 |
| 0 | 6 | 9 |
| 1 | 128 | 9 |
| 2 | 1765 | 9 |
| 0 | 12 | 19 |
| 1 | 263 | 19 |
| 2 | 3468 | 19 |
| 0 | 12 | 19 |
| 0 | 5 | 7 |
| 1 | 111 | 7 |
| 2 | 1572 | 7 |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
| Inputs |
|---|
(exp.f64 (-.f64 (*.f64 eps x) x)) |
(-.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 x eps))))) |
(-.f64 (*.f64 eps x) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (expm1.f64 (-.f64 (*.f64 eps x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (exp.f64 (-.f64 (*.f64 eps x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (-.f64 (*.f64 eps x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 eps) x) (exp.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (-.f64 (*.f64 eps x) x))) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (*.f64 eps x) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (*.f64 eps x) x))) 2) (cbrt.f64 (exp.f64 (-.f64 (*.f64 eps x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (-.f64 (*.f64 eps x) x))) (sqrt.f64 (exp.f64 (-.f64 (*.f64 eps x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (exp.f64 x) (pow.f64 (exp.f64 eps) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (exp.f64 eps) x) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (exp.f64 eps) x)) (neg.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (-.f64 (*.f64 eps x) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (-.f64 (*.f64 eps x) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 eps x) x)) 2)) (cbrt.f64 (-.f64 (*.f64 eps x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (-.f64 (*.f64 eps x) x))) (sqrt.f64 (-.f64 (*.f64 eps x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (-.f64 (*.f64 eps x) x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (-.f64 (*.f64 eps x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (-.f64 (*.f64 eps x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (-.f64 (*.f64 eps x) x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (exp.f64 (*.f64 x (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (neg.f64 (neg.f64 (exp.f64 (*.f64 x (neg.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (exp.f64 (*.f64 x (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (exp.f64 (*.f64 x (neg.f64 eps))))) (cbrt.f64 (+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (exp.f64 (*.f64 x (neg.f64 eps)))))) (cbrt.f64 (+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (exp.f64 (*.f64 x (neg.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (exp.f64 (*.f64 x (neg.f64 eps))))) (sqrt.f64 (+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (exp.f64 (*.f64 x (neg.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) 3) (pow.f64 (neg.f64 (exp.f64 (*.f64 x (neg.f64 eps)))) 3)) (+.f64 (*.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (exp.f64 (-.f64 (*.f64 eps x) x))) (+.f64 (*.f64 (neg.f64 (exp.f64 (*.f64 x (neg.f64 eps)))) (neg.f64 (exp.f64 (*.f64 x (neg.f64 eps))))) (*.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (neg.f64 (exp.f64 (*.f64 x (neg.f64 eps))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (exp.f64 (-.f64 (*.f64 eps x) x))) (*.f64 (neg.f64 (exp.f64 (*.f64 x (neg.f64 eps)))) (neg.f64 (exp.f64 (*.f64 x (neg.f64 eps)))))) (+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (neg.f64 (exp.f64 (*.f64 x (neg.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (exp.f64 (*.f64 x (neg.f64 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (exp.f64 (*.f64 x (neg.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (exp.f64 (*.f64 x (neg.f64 eps)))) (+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (exp.f64 (*.f64 x (neg.f64 eps))))) (+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (exp.f64 (*.f64 x (neg.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (exp.f64 (*.f64 x (neg.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (exp.f64 (*.f64 x (neg.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (exp.f64 (*.f64 x (neg.f64 eps)))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps x) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 eps x) x) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 eps 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 (*.f64 eps x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (*.f64 eps x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (-.f64 eps 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 eps x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (*.f64 eps x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 eps x) x)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 eps x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 eps x) x)) 2) (cbrt.f64 (-.f64 (*.f64 eps x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (*.f64 eps x) x)) (sqrt.f64 (-.f64 (*.f64 eps x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 eps x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 eps x) 2) (*.f64 x (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 eps x) 2) (*.f64 x x)) (/.f64 1 (fma.f64 eps x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 eps x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 eps x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 eps x) 2) (*.f64 x (fma.f64 eps x x))) (-.f64 (pow.f64 (*.f64 eps x) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 eps x x) (-.f64 (pow.f64 (*.f64 eps x) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 eps x) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 eps x) 2) (*.f64 x (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 eps x) 2) (*.f64 x x)) (fma.f64 eps x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 eps x) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 eps x) 2) (*.f64 x (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 eps x) 2) (*.f64 x x))) (neg.f64 (fma.f64 eps x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 eps x) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (*.f64 eps x) 2) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 eps x) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 eps x) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (*.f64 eps x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 eps x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 eps x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (*.f64 eps x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (*.f64 eps x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (*.f64 eps x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (*.f64 eps x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (*.f64 eps x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (*.f64 eps x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (*.f64 eps x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (*.f64 eps x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 eps x (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x eps (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 eps x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps x)) 2) (cbrt.f64 (*.f64 eps x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 eps x)) (sqrt.f64 (*.f64 eps x)) (neg.f64 x)))))) |
| 1× | egg-herbie |
| 643× | cancel-sign-sub-inv_binary64 |
| 592× | fma-def_binary64 |
| 542× | associate-*l*_binary64 |
| 494× | fma-neg_binary64 |
| 440× | associate-*r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 88 | 977 |
| 1 | 284 | 906 |
| 2 | 975 | 877 |
| 3 | 4910 | 877 |
| 1× | node limit |
| Inputs |
|---|
(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))))) |
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) (*.f64 -1 x))) |
(exp.f64 (+.f64 (*.f64 eps x) (*.f64 -1 x))) |
(exp.f64 (+.f64 (*.f64 eps x) (*.f64 -1 x))) |
(exp.f64 (+.f64 (*.f64 eps x) (*.f64 -1 x))) |
(+.f64 1 (exp.f64 (neg.f64 x))) |
(+.f64 (*.f64 eps (-.f64 (*.f64 (exp.f64 (neg.f64 x)) x) x)) (+.f64 1 (exp.f64 (neg.f64 x)))) |
(+.f64 (*.f64 eps (-.f64 (*.f64 (exp.f64 (neg.f64 x)) x) x)) (+.f64 1 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (-.f64 (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (*.f64 -1/2 (pow.f64 x 2))) (pow.f64 eps 2))))) |
(+.f64 (*.f64 eps (-.f64 (*.f64 (exp.f64 (neg.f64 x)) x) x)) (+.f64 1 (+.f64 (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))) (*.f64 1/6 (pow.f64 x 3)))) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (-.f64 (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (*.f64 -1/2 (pow.f64 x 2))) (pow.f64 eps 2)))))) |
(-.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x))))) |
(-.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x))))) |
(-.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x))))) |
(-.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x))))) |
(-.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x))))) |
(-.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x))))) |
(-.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x))))) |
(-.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x))))) |
2 |
(+.f64 2 (*.f64 -1 x)) |
(+.f64 2 (+.f64 (*.f64 -1 x) (*.f64 (-.f64 (*.f64 1/2 (pow.f64 (-.f64 eps 1) 2)) (*.f64 -1/2 (pow.f64 eps 2))) (pow.f64 x 2)))) |
(+.f64 (*.f64 (-.f64 (*.f64 1/6 (pow.f64 (-.f64 eps 1) 3)) (*.f64 1/6 (pow.f64 eps 3))) (pow.f64 x 3)) (+.f64 2 (+.f64 (*.f64 -1 x) (*.f64 (-.f64 (*.f64 1/2 (pow.f64 (-.f64 eps 1) 2)) (*.f64 -1/2 (pow.f64 eps 2))) (pow.f64 x 2))))) |
(-.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x))))) |
(-.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x))))) |
(-.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x))))) |
(-.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x))))) |
(-.f64 (exp.f64 (+.f64 (*.f64 eps x) (*.f64 -1 x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x))))) |
(-.f64 (exp.f64 (+.f64 (*.f64 eps x) (*.f64 -1 x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x))))) |
(-.f64 (exp.f64 (+.f64 (*.f64 eps x) (*.f64 -1 x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x))))) |
(-.f64 (exp.f64 (+.f64 (*.f64 eps x) (*.f64 -1 x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps 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)) |
(*.f64 (-.f64 eps 1) x) |
(*.f64 (-.f64 eps 1) x) |
(*.f64 (-.f64 eps 1) x) |
(*.f64 (-.f64 eps 1) x) |
(*.f64 (-.f64 eps 1) x) |
(*.f64 (-.f64 eps 1) x) |
(*.f64 (-.f64 eps 1) x) |
(*.f64 (-.f64 eps 1) x) |
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)) |
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)) |
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)) |
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)) |
| Outputs |
|---|
(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))) |
(*.f64 (fma.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)))) |
(+.f64 (fma.f64 eps (*.f64 x (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) (/.f64 1/2 (exp.f64 x))))) |
(fma.f64 (*.f64 eps eps) (/.f64 (*.f64 x (*.f64 x 1/2)) (exp.f64 x)) (*.f64 (fma.f64 x eps 1) (exp.f64 (neg.f64 x)))) |
(fma.f64 1/2 (*.f64 x (*.f64 (*.f64 eps eps) (/.f64 x (exp.f64 x)))) (*.f64 (fma.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)))) (+.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 (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))) (+.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) (/.f64 1/2 (exp.f64 x)))) (fma.f64 1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))) (exp.f64 (neg.f64 x))))) |
(+.f64 (*.f64 (fma.f64 x eps 1) (exp.f64 (neg.f64 x))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 x (*.f64 x (*.f64 eps (*.f64 eps 1/2)))) (*.f64 1/6 (*.f64 (pow.f64 eps 3) (pow.f64 x 3)))))) |
1 |
(+.f64 1 (*.f64 (-.f64 eps 1) x)) |
(+.f64 1 (-.f64 (*.f64 x eps) x)) |
(fma.f64 x (+.f64 eps -1) 1) |
(-.f64 (fma.f64 x 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))) |
(fma.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (+.f64 eps -1) 2)) (+.f64 1 (-.f64 (*.f64 x eps) x))) |
(fma.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (+.f64 eps -1) 2)) (fma.f64 x (+.f64 eps -1) 1)) |
(fma.f64 x (+.f64 eps -1) (fma.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (+.f64 eps -1) 2)) 1)) |
(fma.f64 x (+.f64 eps -1) (fma.f64 1/2 (*.f64 x (*.f64 x (pow.f64 (+.f64 eps -1) 2))) 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 (*.f64 1/6 (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 x (+.f64 eps -1) (*.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)) (fma.f64 x (+.f64 eps -1) (fma.f64 1/6 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps -1) 3)) 1))) |
(fma.f64 1/2 (*.f64 x (*.f64 x (pow.f64 (+.f64 eps -1) 2))) (fma.f64 x (+.f64 eps -1) (fma.f64 (pow.f64 (+.f64 eps -1) 3) (*.f64 1/6 (pow.f64 x 3)) 1))) |
(exp.f64 (+.f64 (*.f64 eps x) (*.f64 -1 x))) |
(exp.f64 (-.f64 (*.f64 x eps) x)) |
(pow.f64 (exp.f64 x) (+.f64 eps -1)) |
(exp.f64 (+.f64 (*.f64 eps x) (*.f64 -1 x))) |
(exp.f64 (-.f64 (*.f64 x eps) x)) |
(pow.f64 (exp.f64 x) (+.f64 eps -1)) |
(exp.f64 (+.f64 (*.f64 eps x) (*.f64 -1 x))) |
(exp.f64 (-.f64 (*.f64 x eps) x)) |
(pow.f64 (exp.f64 x) (+.f64 eps -1)) |
(exp.f64 (+.f64 (*.f64 eps x) (*.f64 -1 x))) |
(exp.f64 (-.f64 (*.f64 x eps) x)) |
(pow.f64 (exp.f64 x) (+.f64 eps -1)) |
(+.f64 1 (exp.f64 (neg.f64 x))) |
(+.f64 (exp.f64 (neg.f64 x)) 1) |
(+.f64 (*.f64 eps (-.f64 (*.f64 (exp.f64 (neg.f64 x)) x) x)) (+.f64 1 (exp.f64 (neg.f64 x)))) |
(fma.f64 eps (-.f64 (*.f64 x (exp.f64 (neg.f64 x))) x) (+.f64 (exp.f64 (neg.f64 x)) 1)) |
(fma.f64 eps (-.f64 (/.f64 x (exp.f64 x)) x) (+.f64 (exp.f64 (neg.f64 x)) 1)) |
(+.f64 (exp.f64 (neg.f64 x)) (fma.f64 eps (-.f64 (/.f64 x (exp.f64 x)) x) 1)) |
(+.f64 (*.f64 eps (-.f64 (*.f64 (exp.f64 (neg.f64 x)) x) x)) (+.f64 1 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (-.f64 (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (*.f64 -1/2 (pow.f64 x 2))) (pow.f64 eps 2))))) |
(fma.f64 eps (-.f64 (*.f64 x (exp.f64 (neg.f64 x))) x) (+.f64 (+.f64 (exp.f64 (neg.f64 x)) 1) (*.f64 (*.f64 eps eps) (+.f64 (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x))) (*.f64 1/2 (*.f64 x x)))))) |
(+.f64 (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) (-.f64 (/.f64 1/2 (exp.f64 x)) -1/2)) (exp.f64 (neg.f64 x))) (fma.f64 eps (-.f64 (*.f64 x (exp.f64 (neg.f64 x))) x) 1)) |
(fma.f64 eps (-.f64 (/.f64 x (exp.f64 x)) x) (fma.f64 eps (*.f64 (*.f64 x x) (*.f64 (fma.f64 (exp.f64 (neg.f64 x)) 1/2 1/2) eps)) (+.f64 (exp.f64 (neg.f64 x)) 1))) |
(+.f64 (fma.f64 eps (-.f64 (/.f64 x (exp.f64 x)) x) (exp.f64 (neg.f64 x))) (fma.f64 eps (*.f64 eps (*.f64 1/2 (*.f64 x (+.f64 (/.f64 x (exp.f64 x)) x)))) 1)) |
(+.f64 (*.f64 eps (-.f64 (*.f64 (exp.f64 (neg.f64 x)) x) x)) (+.f64 1 (+.f64 (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))) (*.f64 1/6 (pow.f64 x 3)))) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (-.f64 (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2))) (*.f64 -1/2 (pow.f64 x 2))) (pow.f64 eps 2)))))) |
(fma.f64 eps (-.f64 (*.f64 x (exp.f64 (neg.f64 x))) x) (+.f64 1 (fma.f64 (pow.f64 eps 3) (*.f64 1/6 (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (pow.f64 x 3))) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 eps eps) (+.f64 (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x))) (*.f64 1/2 (*.f64 x x)))))))) |
(+.f64 (fma.f64 (pow.f64 eps 3) (*.f64 (pow.f64 x 3) (-.f64 (/.f64 1/6 (exp.f64 x)) 1/6)) (fma.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) (-.f64 (/.f64 1/2 (exp.f64 x)) -1/2)) (exp.f64 (neg.f64 x)))) (fma.f64 eps (-.f64 (*.f64 x (exp.f64 (neg.f64 x))) x) 1)) |
(+.f64 (fma.f64 eps (*.f64 (*.f64 x x) (*.f64 (fma.f64 (exp.f64 (neg.f64 x)) 1/2 1/2) eps)) (exp.f64 (neg.f64 x))) (fma.f64 eps (-.f64 (/.f64 x (exp.f64 x)) x) (fma.f64 (pow.f64 eps 3) (*.f64 (pow.f64 x 3) (fma.f64 (exp.f64 (neg.f64 x)) 1/6 -1/6)) 1))) |
(+.f64 (fma.f64 (pow.f64 eps 3) (*.f64 (pow.f64 x 3) (+.f64 -1/6 (/.f64 1/6 (exp.f64 x)))) (fma.f64 (*.f64 eps eps) (*.f64 1/2 (*.f64 x (+.f64 (/.f64 x (exp.f64 x)) x))) (exp.f64 (neg.f64 x)))) (fma.f64 eps (-.f64 (/.f64 x (exp.f64 x)) x) 1)) |
(-.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x))))) |
(-.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (neg.f64 (exp.f64 (*.f64 (neg.f64 eps) x)))) |
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (pow.f64 (exp.f64 eps) (neg.f64 x))) |
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (pow.f64 (exp.f64 x) (neg.f64 eps))) |
(-.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x))))) |
(-.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (neg.f64 (exp.f64 (*.f64 (neg.f64 eps) x)))) |
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (pow.f64 (exp.f64 eps) (neg.f64 x))) |
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (pow.f64 (exp.f64 x) (neg.f64 eps))) |
(-.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x))))) |
(-.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (neg.f64 (exp.f64 (*.f64 (neg.f64 eps) x)))) |
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (pow.f64 (exp.f64 eps) (neg.f64 x))) |
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (pow.f64 (exp.f64 x) (neg.f64 eps))) |
(-.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x))))) |
(-.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (neg.f64 (exp.f64 (*.f64 (neg.f64 eps) x)))) |
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (pow.f64 (exp.f64 eps) (neg.f64 x))) |
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (pow.f64 (exp.f64 x) (neg.f64 eps))) |
(-.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x))))) |
(-.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (neg.f64 (exp.f64 (*.f64 (neg.f64 eps) x)))) |
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (pow.f64 (exp.f64 eps) (neg.f64 x))) |
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (pow.f64 (exp.f64 x) (neg.f64 eps))) |
(-.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x))))) |
(-.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (neg.f64 (exp.f64 (*.f64 (neg.f64 eps) x)))) |
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (pow.f64 (exp.f64 eps) (neg.f64 x))) |
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (pow.f64 (exp.f64 x) (neg.f64 eps))) |
(-.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x))))) |
(-.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (neg.f64 (exp.f64 (*.f64 (neg.f64 eps) x)))) |
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (pow.f64 (exp.f64 eps) (neg.f64 x))) |
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (pow.f64 (exp.f64 x) (neg.f64 eps))) |
(-.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x))))) |
(-.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (neg.f64 (exp.f64 (*.f64 (neg.f64 eps) x)))) |
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (pow.f64 (exp.f64 eps) (neg.f64 x))) |
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (pow.f64 (exp.f64 x) (neg.f64 eps))) |
2 |
(+.f64 2 (*.f64 -1 x)) |
(+.f64 2 (neg.f64 x)) |
(-.f64 2 x) |
(+.f64 2 (+.f64 (*.f64 -1 x) (*.f64 (-.f64 (*.f64 1/2 (pow.f64 (-.f64 eps 1) 2)) (*.f64 -1/2 (pow.f64 eps 2))) (pow.f64 x 2)))) |
(+.f64 2 (fma.f64 -1 x (*.f64 (*.f64 x x) (+.f64 (*.f64 1/2 (pow.f64 (+.f64 eps -1) 2)) (*.f64 1/2 (*.f64 eps eps)))))) |
(+.f64 2 (-.f64 (*.f64 (*.f64 x x) (*.f64 1/2 (+.f64 (pow.f64 (+.f64 eps -1) 2) (*.f64 eps eps)))) x)) |
(-.f64 (fma.f64 x (*.f64 x (*.f64 1/2 (+.f64 (*.f64 eps eps) (pow.f64 (+.f64 eps -1) 2)))) 2) x) |
(fma.f64 x (*.f64 (*.f64 x 1/2) (+.f64 (*.f64 eps eps) (pow.f64 (+.f64 eps -1) 2))) (-.f64 2 x)) |
(+.f64 (*.f64 (-.f64 (*.f64 1/6 (pow.f64 (-.f64 eps 1) 3)) (*.f64 1/6 (pow.f64 eps 3))) (pow.f64 x 3)) (+.f64 2 (+.f64 (*.f64 -1 x) (*.f64 (-.f64 (*.f64 1/2 (pow.f64 (-.f64 eps 1) 2)) (*.f64 -1/2 (pow.f64 eps 2))) (pow.f64 x 2))))) |
(fma.f64 (*.f64 1/6 (-.f64 (pow.f64 (+.f64 eps -1) 3) (pow.f64 eps 3))) (pow.f64 x 3) (+.f64 2 (fma.f64 -1 x (*.f64 (*.f64 x x) (+.f64 (*.f64 1/2 (pow.f64 (+.f64 eps -1) 2)) (*.f64 1/2 (*.f64 eps eps))))))) |
(+.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 1/2 (+.f64 (pow.f64 (+.f64 eps -1) 2) (*.f64 eps eps)))) x) (fma.f64 (pow.f64 x 3) (*.f64 1/6 (-.f64 (pow.f64 (+.f64 eps -1) 3) (pow.f64 eps 3))) 2)) |
(fma.f64 1/6 (*.f64 (pow.f64 x 3) (-.f64 (pow.f64 (+.f64 eps -1) 3) (pow.f64 eps 3))) (-.f64 (fma.f64 x (*.f64 x (*.f64 1/2 (+.f64 (*.f64 eps eps) (pow.f64 (+.f64 eps -1) 2)))) 2) x)) |
(fma.f64 1/6 (*.f64 (pow.f64 x 3) (-.f64 (pow.f64 (+.f64 eps -1) 3) (pow.f64 eps 3))) (fma.f64 x (*.f64 (*.f64 x 1/2) (+.f64 (*.f64 eps eps) (pow.f64 (+.f64 eps -1) 2))) (-.f64 2 x))) |
(-.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x))))) |
(-.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (neg.f64 (exp.f64 (*.f64 (neg.f64 eps) x)))) |
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (pow.f64 (exp.f64 eps) (neg.f64 x))) |
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (pow.f64 (exp.f64 x) (neg.f64 eps))) |
(-.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x))))) |
(-.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (neg.f64 (exp.f64 (*.f64 (neg.f64 eps) x)))) |
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (pow.f64 (exp.f64 eps) (neg.f64 x))) |
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (pow.f64 (exp.f64 x) (neg.f64 eps))) |
(-.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x))))) |
(-.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (neg.f64 (exp.f64 (*.f64 (neg.f64 eps) x)))) |
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (pow.f64 (exp.f64 eps) (neg.f64 x))) |
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (pow.f64 (exp.f64 x) (neg.f64 eps))) |
(-.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x))))) |
(-.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (neg.f64 (exp.f64 (*.f64 (neg.f64 eps) x)))) |
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (pow.f64 (exp.f64 eps) (neg.f64 x))) |
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (pow.f64 (exp.f64 x) (neg.f64 eps))) |
(-.f64 (exp.f64 (+.f64 (*.f64 eps x) (*.f64 -1 x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x))))) |
(-.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (neg.f64 (exp.f64 (*.f64 (neg.f64 eps) x)))) |
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (pow.f64 (exp.f64 eps) (neg.f64 x))) |
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (pow.f64 (exp.f64 x) (neg.f64 eps))) |
(-.f64 (exp.f64 (+.f64 (*.f64 eps x) (*.f64 -1 x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x))))) |
(-.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (neg.f64 (exp.f64 (*.f64 (neg.f64 eps) x)))) |
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (pow.f64 (exp.f64 eps) (neg.f64 x))) |
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (pow.f64 (exp.f64 x) (neg.f64 eps))) |
(-.f64 (exp.f64 (+.f64 (*.f64 eps x) (*.f64 -1 x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x))))) |
(-.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (neg.f64 (exp.f64 (*.f64 (neg.f64 eps) x)))) |
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (pow.f64 (exp.f64 eps) (neg.f64 x))) |
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (pow.f64 (exp.f64 x) (neg.f64 eps))) |
(-.f64 (exp.f64 (+.f64 (*.f64 eps x) (*.f64 -1 x))) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 eps x))))) |
(-.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (neg.f64 (exp.f64 (*.f64 (neg.f64 eps) x)))) |
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (pow.f64 (exp.f64 eps) (neg.f64 x))) |
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (pow.f64 (exp.f64 x) (neg.f64 eps))) |
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 (*.f64 eps x) (*.f64 -1 x)) |
(-.f64 (*.f64 x eps) x) |
(+.f64 (*.f64 eps x) (*.f64 -1 x)) |
(-.f64 (*.f64 x eps) x) |
(+.f64 (*.f64 eps x) (*.f64 -1 x)) |
(-.f64 (*.f64 x eps) x) |
(*.f64 eps x) |
(*.f64 x eps) |
(+.f64 (*.f64 eps x) (*.f64 -1 x)) |
(-.f64 (*.f64 x eps) x) |
(+.f64 (*.f64 eps x) (*.f64 -1 x)) |
(-.f64 (*.f64 x eps) x) |
(+.f64 (*.f64 eps x) (*.f64 -1 x)) |
(-.f64 (*.f64 x eps) x) |
(*.f64 eps x) |
(*.f64 x eps) |
(+.f64 (*.f64 eps x) (*.f64 -1 x)) |
(-.f64 (*.f64 x eps) x) |
(+.f64 (*.f64 eps x) (*.f64 -1 x)) |
(-.f64 (*.f64 x eps) x) |
(+.f64 (*.f64 eps x) (*.f64 -1 x)) |
(-.f64 (*.f64 x eps) x) |
(*.f64 (-.f64 eps 1) x) |
(-.f64 (*.f64 x eps) x) |
(*.f64 (-.f64 eps 1) x) |
(-.f64 (*.f64 x eps) x) |
(*.f64 (-.f64 eps 1) x) |
(-.f64 (*.f64 x eps) x) |
(*.f64 (-.f64 eps 1) x) |
(-.f64 (*.f64 x eps) x) |
(*.f64 (-.f64 eps 1) x) |
(-.f64 (*.f64 x eps) x) |
(*.f64 (-.f64 eps 1) x) |
(-.f64 (*.f64 x eps) x) |
(*.f64 (-.f64 eps 1) x) |
(-.f64 (*.f64 x eps) x) |
(*.f64 (-.f64 eps 1) x) |
(-.f64 (*.f64 x eps) x) |
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)) |
(-.f64 (*.f64 x eps) x) |
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)) |
(-.f64 (*.f64 x eps) x) |
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)) |
(-.f64 (*.f64 x eps) x) |
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)) |
(-.f64 (*.f64 x eps) x) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (-.f64 eps 1) x) |
Compiled 30 to 21 computations (30% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (*.f64 (-.f64 eps 1) x) |
| 0.0ms | x | @ | -inf | (*.f64 (-.f64 eps 1) x) |
| 0.0ms | x | @ | 0 | (*.f64 (-.f64 eps 1) x) |
| 0.0ms | eps | @ | 0 | (*.f64 (-.f64 eps 1) x) |
| 0.0ms | eps | @ | inf | (*.f64 (-.f64 eps 1) x) |
| 1× | batch-egg-rewrite |
| 599× | pow1_binary64 |
| 556× | add-log-exp_binary64 |
| 555× | log1p-expm1-u_binary64 |
| 555× | expm1-log1p-u_binary64 |
| 545× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 124 | 7 |
| 2 | 1543 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (-.f64 eps 1) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps x) (*.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x eps) (*.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (+.f64 eps -1) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 eps 3) -1) x) (fma.f64 eps eps (+.f64 eps 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 eps eps -1) x) (+.f64 eps 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 (pow.f64 eps 3) -1)) (fma.f64 eps eps (+.f64 eps 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (fma.f64 eps eps -1)) (+.f64 eps 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 eps -1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 eps -1) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 eps -1) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 eps -1) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 eps -1) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 eps -1) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 eps -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 eps -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 eps -1) x))))))) |
| 1× | egg-herbie |
| 125× | fma-def_binary64 |
| 76× | fma-neg_binary64 |
| 29× | cancel-sign-sub-inv_binary64 |
| 16× | distribute-rgt-neg-in_binary64 |
| 15× | distribute-rgt-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 74 |
| 1 | 14 | 74 |
| 2 | 23 | 74 |
| 3 | 28 | 74 |
| 4 | 43 | 74 |
| 5 | 71 | 74 |
| 6 | 154 | 74 |
| 7 | 299 | 74 |
| 8 | 443 | 74 |
| 9 | 477 | 74 |
| 10 | 479 | 74 |
| 1× | saturated |
| Inputs |
|---|
(*.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 -1 x) |
(neg.f64 x) |
(+.f64 (*.f64 eps x) (*.f64 -1 x)) |
(*.f64 x (+.f64 eps -1)) |
(*.f64 x (+.f64 -1 eps)) |
(+.f64 (*.f64 eps x) (*.f64 -1 x)) |
(*.f64 x (+.f64 eps -1)) |
(*.f64 x (+.f64 -1 eps)) |
(+.f64 (*.f64 eps x) (*.f64 -1 x)) |
(*.f64 x (+.f64 eps -1)) |
(*.f64 x (+.f64 -1 eps)) |
(*.f64 eps x) |
(*.f64 x eps) |
(+.f64 (*.f64 eps x) (*.f64 -1 x)) |
(*.f64 x (+.f64 eps -1)) |
(*.f64 x (+.f64 -1 eps)) |
(+.f64 (*.f64 eps x) (*.f64 -1 x)) |
(*.f64 x (+.f64 eps -1)) |
(*.f64 x (+.f64 -1 eps)) |
(+.f64 (*.f64 eps x) (*.f64 -1 x)) |
(*.f64 x (+.f64 eps -1)) |
(*.f64 x (+.f64 -1 eps)) |
(*.f64 eps x) |
(*.f64 x eps) |
(+.f64 (*.f64 eps x) (*.f64 -1 x)) |
(*.f64 x (+.f64 eps -1)) |
(*.f64 x (+.f64 -1 eps)) |
(+.f64 (*.f64 eps x) (*.f64 -1 x)) |
(*.f64 x (+.f64 eps -1)) |
(*.f64 x (+.f64 -1 eps)) |
(+.f64 (*.f64 eps x) (*.f64 -1 x)) |
(*.f64 x (+.f64 eps -1)) |
(*.f64 x (+.f64 -1 eps)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (*.f64 x eps) x) |
| ✓ | 0.0b | (+.f64 1 (exp.f64 (-.f64 (*.f64 x eps) x))) |
| ✓ | 0.0b | (exp.f64 (-.f64 (*.f64 x eps) x)) |
Compiled 38 to 13 computations (65.8% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | eps | @ | inf | (+.f64 1 (exp.f64 (-.f64 (*.f64 x eps) x))) |
| 0.0ms | x | @ | 0 | (exp.f64 (-.f64 (*.f64 x eps) x)) |
| 0.0ms | eps | @ | 0 | (+.f64 1 (exp.f64 (-.f64 (*.f64 x eps) x))) |
| 0.0ms | eps | @ | 0 | (exp.f64 (-.f64 (*.f64 x eps) x)) |
| 0.0ms | x | @ | -inf | (+.f64 1 (exp.f64 (-.f64 (*.f64 x eps) x))) |
| 1× | batch-egg-rewrite |
| 927× | pow1_binary64 |
| 860× | add-log-exp_binary64 |
| 860× | log1p-expm1-u_binary64 |
| 860× | expm1-log1p-u_binary64 |
| 842× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 28 |
| 1 | 170 | 28 |
| 2 | 2323 | 28 |
| 1× | node limit |
| Inputs |
|---|
(exp.f64 (-.f64 (*.f64 x eps) x)) |
(+.f64 1 (exp.f64 (-.f64 (*.f64 x eps) x))) |
(-.f64 (*.f64 x eps) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (expm1.f64 (-.f64 (*.f64 x eps) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (-.f64 (*.f64 x eps) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 x) eps) (exp.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (-.f64 (*.f64 x eps) x))) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (*.f64 x eps) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (*.f64 x eps) x))) 2) (cbrt.f64 (exp.f64 (-.f64 (*.f64 x eps) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (-.f64 (*.f64 x eps) x))) (sqrt.f64 (exp.f64 (-.f64 (*.f64 x eps) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (exp.f64 x) (pow.f64 (exp.f64 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (exp.f64 x) eps) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (exp.f64 x) eps)) (neg.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (-.f64 (*.f64 x eps) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (-.f64 (*.f64 x eps) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (-.f64 (*.f64 x eps) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x eps) x)) 2)) (cbrt.f64 (-.f64 (*.f64 x eps) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (-.f64 (*.f64 x eps) x))) (sqrt.f64 (-.f64 (*.f64 x eps) x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (-.f64 (*.f64 x eps) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (-.f64 (*.f64 x eps) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (-.f64 (*.f64 x eps) x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (exp.f64 (-.f64 (*.f64 x eps) x)))) (/.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) 2) (-.f64 1 (exp.f64 (-.f64 (*.f64 x eps) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) 1)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) 1)) 2) (cbrt.f64 (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) 1)) (sqrt.f64 (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (expm1.f64 (-.f64 (*.f64 x eps) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) 2)) (/.f64 1 (-.f64 1 (exp.f64 (-.f64 (*.f64 x eps) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (expm1.f64 (-.f64 (*.f64 x eps) x)))) (+.f64 1 (pow.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (exp.f64 (-.f64 (*.f64 x eps) x))) (-.f64 1 (pow.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) 3)) (+.f64 1 (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (expm1.f64 (-.f64 (*.f64 x eps) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) 3)) (+.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) 2) (-.f64 1 (exp.f64 (-.f64 (*.f64 x eps) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) 2)) (-.f64 1 (exp.f64 (-.f64 (*.f64 x eps) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) 3))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (expm1.f64 (-.f64 (*.f64 x eps) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) 2))) (neg.f64 (-.f64 1 (exp.f64 (-.f64 (*.f64 x eps) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) 2) 1) (expm1.f64 (-.f64 (*.f64 x eps) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (exp.f64 (-.f64 (*.f64 x eps) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 (-.f64 (*.f64 x eps) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (*.f64 x eps) x))) 2) (cbrt.f64 (exp.f64 (-.f64 (*.f64 x eps) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 (-.f64 (*.f64 x eps) x))) (sqrt.f64 (exp.f64 (-.f64 (*.f64 x eps) x))) 1))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x eps) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x eps) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x eps) x) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x eps) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x eps) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (*.f64 x eps) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (*.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (*.f64 x eps) x)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (*.f64 x eps) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (*.f64 x eps) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (*.f64 x eps) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (-.f64 eps 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x eps) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (*.f64 x eps) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 x eps) x)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x eps) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x eps) x)) 2) (cbrt.f64 (-.f64 (*.f64 x eps) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (*.f64 x eps) x)) (sqrt.f64 (-.f64 (*.f64 x eps) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 x eps) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x eps) 2) (*.f64 x (fma.f64 x eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 x eps) 2) (*.f64 x x)) (/.f64 1 (fma.f64 x eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 x eps)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 x eps)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 x eps) 2) (*.f64 x (fma.f64 x eps x))) (-.f64 (pow.f64 (*.f64 x eps) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x eps x) (-.f64 (pow.f64 (*.f64 x eps) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x eps) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 x eps) 2) (*.f64 x (fma.f64 x eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x eps) 2) (*.f64 x x)) (fma.f64 x eps x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x eps) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 x eps) 2) (*.f64 x (fma.f64 x eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x eps) 2) (*.f64 x x))) (neg.f64 (fma.f64 x eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x eps) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (*.f64 x eps) 2) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 x eps) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x eps) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (*.f64 x eps) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 x eps) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 x eps) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (*.f64 x eps) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (*.f64 x eps) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (*.f64 x eps) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (*.f64 x eps) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (*.f64 x eps) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (*.f64 x eps) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (*.f64 x eps) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (*.f64 x eps) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x eps (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 eps x (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x eps) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x eps)) 2) (cbrt.f64 (*.f64 x eps)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x eps)) (sqrt.f64 (*.f64 x eps)) (neg.f64 x)))))) |
| 1× | egg-herbie |
| 518× | distribute-rgt-in_binary64 |
| 513× | distribute-lft-in_binary64 |
| 433× | fma-def_binary64 |
| 373× | unswap-sqr_binary64 |
| 361× | cancel-sign-sub-inv_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 65 | 890 |
| 1 | 207 | 882 |
| 2 | 675 | 843 |
| 3 | 3282 | 828 |
| 1× | node limit |
| Inputs |
|---|
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)) |
(exp.f64 (+.f64 (*.f64 eps x) (*.f64 -1 x))) |
(exp.f64 (+.f64 (*.f64 eps x) (*.f64 -1 x))) |
(exp.f64 (+.f64 (*.f64 eps x) (*.f64 -1 x))) |
(exp.f64 (+.f64 (*.f64 eps x) (*.f64 -1 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 (-.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)) |
(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)) |
2 |
(+.f64 2 (*.f64 (-.f64 eps 1) x)) |
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 2 (*.f64 (-.f64 eps 1) x))) |
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 2 (+.f64 (*.f64 (-.f64 eps 1) x) (*.f64 1/6 (*.f64 (pow.f64 (-.f64 eps 1) 3) (pow.f64 x 3)))))) |
(+.f64 1 (exp.f64 (-.f64 (*.f64 eps x) x))) |
(+.f64 1 (exp.f64 (-.f64 (*.f64 eps x) x))) |
(+.f64 1 (exp.f64 (-.f64 (*.f64 eps x) x))) |
(+.f64 1 (exp.f64 (-.f64 (*.f64 eps x) x))) |
(+.f64 1 (exp.f64 (+.f64 (*.f64 eps x) (*.f64 -1 x)))) |
(+.f64 1 (exp.f64 (+.f64 (*.f64 eps x) (*.f64 -1 x)))) |
(+.f64 1 (exp.f64 (+.f64 (*.f64 eps x) (*.f64 -1 x)))) |
(+.f64 1 (exp.f64 (+.f64 (*.f64 eps x) (*.f64 -1 x)))) |
(+.f64 1 (exp.f64 (neg.f64 x))) |
(+.f64 (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) x)) (+.f64 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 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 1 (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))) (exp.f64 (neg.f64 x)))))) |
(+.f64 1 (exp.f64 (-.f64 (*.f64 eps x) x))) |
(+.f64 1 (exp.f64 (-.f64 (*.f64 eps x) x))) |
(+.f64 1 (exp.f64 (-.f64 (*.f64 eps x) x))) |
(+.f64 1 (exp.f64 (-.f64 (*.f64 eps x) x))) |
(+.f64 1 (exp.f64 (-.f64 (*.f64 eps x) x))) |
(+.f64 1 (exp.f64 (-.f64 (*.f64 eps x) x))) |
(+.f64 1 (exp.f64 (-.f64 (*.f64 eps x) x))) |
(+.f64 1 (exp.f64 (-.f64 (*.f64 eps x) x))) |
(*.f64 (-.f64 eps 1) x) |
(*.f64 (-.f64 eps 1) x) |
(*.f64 (-.f64 eps 1) x) |
(*.f64 (-.f64 eps 1) x) |
(*.f64 (-.f64 eps 1) x) |
(*.f64 (-.f64 eps 1) x) |
(*.f64 (-.f64 eps 1) x) |
(*.f64 (-.f64 eps 1) x) |
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)) |
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)) |
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)) |
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) 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 |
|---|
1 |
(+.f64 1 (*.f64 (-.f64 eps 1) x)) |
(+.f64 1 (-.f64 (*.f64 eps x) x)) |
(fma.f64 (+.f64 eps -1) x 1) |
(fma.f64 eps x (-.f64 1 x)) |
(-.f64 (fma.f64 eps x 1) x) |
(+.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 (pow.f64 (+.f64 eps -1) 2) (*.f64 x x)) (+.f64 1 (-.f64 (*.f64 eps x) x))) |
(fma.f64 1/2 (*.f64 x (*.f64 x (pow.f64 (+.f64 eps -1) 2))) (fma.f64 (+.f64 eps -1) x 1)) |
(fma.f64 (pow.f64 (+.f64 eps -1) 2) (*.f64 x (*.f64 x 1/2)) (fma.f64 eps x (-.f64 1 x))) |
(fma.f64 (+.f64 eps -1) x (fma.f64 (pow.f64 (+.f64 eps -1) 2) (*.f64 (*.f64 1/2 x) x) 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 (pow.f64 (+.f64 eps -1) 2) (*.f64 x x)) (+.f64 1 (fma.f64 (+.f64 eps -1) x (*.f64 1/6 (*.f64 (pow.f64 (+.f64 eps -1) 3) (pow.f64 x 3)))))) |
(+.f64 (fma.f64 1/2 (*.f64 x (*.f64 x (pow.f64 (+.f64 eps -1) 2))) (fma.f64 (+.f64 eps -1) x 1)) (*.f64 1/6 (*.f64 (pow.f64 (+.f64 eps -1) 3) (pow.f64 x 3)))) |
(fma.f64 (pow.f64 (+.f64 eps -1) 2) (*.f64 x (*.f64 x 1/2)) (fma.f64 (pow.f64 (+.f64 eps -1) 3) (*.f64 1/6 (pow.f64 x 3)) (fma.f64 eps x (-.f64 1 x)))) |
(fma.f64 1/2 (*.f64 (pow.f64 (+.f64 eps -1) 2) (*.f64 x x)) (fma.f64 (+.f64 eps -1) x (fma.f64 (pow.f64 (+.f64 eps -1) 3) (*.f64 1/6 (pow.f64 x 3)) 1))) |
(exp.f64 (-.f64 (*.f64 eps x) x)) |
(pow.f64 (exp.f64 x) (+.f64 eps -1)) |
(exp.f64 (-.f64 (*.f64 eps x) x)) |
(pow.f64 (exp.f64 x) (+.f64 eps -1)) |
(exp.f64 (-.f64 (*.f64 eps x) x)) |
(pow.f64 (exp.f64 x) (+.f64 eps -1)) |
(exp.f64 (-.f64 (*.f64 eps x) x)) |
(pow.f64 (exp.f64 x) (+.f64 eps -1)) |
(exp.f64 (+.f64 (*.f64 eps x) (*.f64 -1 x))) |
(exp.f64 (-.f64 (*.f64 eps x) x)) |
(pow.f64 (exp.f64 x) (+.f64 eps -1)) |
(exp.f64 (+.f64 (*.f64 eps x) (*.f64 -1 x))) |
(exp.f64 (-.f64 (*.f64 eps x) x)) |
(pow.f64 (exp.f64 x) (+.f64 eps -1)) |
(exp.f64 (+.f64 (*.f64 eps x) (*.f64 -1 x))) |
(exp.f64 (-.f64 (*.f64 eps x) x)) |
(pow.f64 (exp.f64 x) (+.f64 eps -1)) |
(exp.f64 (+.f64 (*.f64 eps x) (*.f64 -1 x))) |
(exp.f64 (-.f64 (*.f64 eps x) x)) |
(pow.f64 (exp.f64 x) (+.f64 eps -1)) |
(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))) |
(*.f64 (fma.f64 eps x 1) (exp.f64 (neg.f64 x))) |
(*.f64 (exp.f64 (neg.f64 x)) (fma.f64 eps x 1)) |
(+.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 (*.f64 x x) (exp.f64 (neg.f64 x)))) (exp.f64 (neg.f64 x)))) |
(fma.f64 eps (*.f64 x (exp.f64 (neg.f64 x))) (fma.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) (*.f64 eps eps))) (exp.f64 (neg.f64 x)))) |
(fma.f64 1/2 (*.f64 eps (*.f64 (*.f64 x x) (/.f64 eps (exp.f64 x)))) (*.f64 (fma.f64 eps x 1) (exp.f64 (neg.f64 x)))) |
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 (fma.f64 eps x 1) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 1/2 x) 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 (*.f64 x x) (exp.f64 (neg.f64 x)))) (fma.f64 1/6 (*.f64 (pow.f64 eps 3) (*.f64 (pow.f64 x 3) (exp.f64 (neg.f64 x)))) (exp.f64 (neg.f64 x))))) |
(fma.f64 eps (*.f64 x (exp.f64 (neg.f64 x))) (fma.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) (*.f64 eps eps))) (fma.f64 1/6 (*.f64 (pow.f64 x 3) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 eps 3))) (exp.f64 (neg.f64 x))))) |
(+.f64 (*.f64 (fma.f64 eps x 1) (exp.f64 (neg.f64 x))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x 1/2))) (*.f64 1/6 (*.f64 (pow.f64 x 3) (pow.f64 eps 3)))))) |
(+.f64 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 eps x 1)) (*.f64 (/.f64 (*.f64 x x) (exp.f64 x)) (+.f64 (*.f64 eps (*.f64 eps 1/2)) (*.f64 x (*.f64 1/6 (pow.f64 eps 3)))))) |
(exp.f64 (-.f64 (*.f64 eps x) x)) |
(pow.f64 (exp.f64 x) (+.f64 eps -1)) |
(exp.f64 (-.f64 (*.f64 eps x) x)) |
(pow.f64 (exp.f64 x) (+.f64 eps -1)) |
(exp.f64 (-.f64 (*.f64 eps x) x)) |
(pow.f64 (exp.f64 x) (+.f64 eps -1)) |
(exp.f64 (-.f64 (*.f64 eps x) x)) |
(pow.f64 (exp.f64 x) (+.f64 eps -1)) |
(exp.f64 (-.f64 (*.f64 eps x) x)) |
(pow.f64 (exp.f64 x) (+.f64 eps -1)) |
(exp.f64 (-.f64 (*.f64 eps x) x)) |
(pow.f64 (exp.f64 x) (+.f64 eps -1)) |
(exp.f64 (-.f64 (*.f64 eps x) x)) |
(pow.f64 (exp.f64 x) (+.f64 eps -1)) |
(exp.f64 (-.f64 (*.f64 eps x) x)) |
(pow.f64 (exp.f64 x) (+.f64 eps -1)) |
2 |
(+.f64 2 (*.f64 (-.f64 eps 1) x)) |
(+.f64 (-.f64 (*.f64 eps x) x) 2) |
(fma.f64 (+.f64 eps -1) x 2) |
(-.f64 (fma.f64 eps x 2) x) |
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 2 (*.f64 (-.f64 eps 1) x))) |
(fma.f64 1/2 (*.f64 (pow.f64 (+.f64 eps -1) 2) (*.f64 x x)) (+.f64 (-.f64 (*.f64 eps x) x) 2)) |
(fma.f64 1/2 (*.f64 x (*.f64 x (pow.f64 (+.f64 eps -1) 2))) (fma.f64 (+.f64 eps -1) x 2)) |
(fma.f64 (+.f64 eps -1) x (fma.f64 (pow.f64 (+.f64 eps -1) 2) (*.f64 x (*.f64 x 1/2)) 2)) |
(fma.f64 1/2 (*.f64 (pow.f64 (+.f64 eps -1) 2) (*.f64 x x)) (-.f64 (fma.f64 eps x 2) x)) |
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 2 (+.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 (pow.f64 (+.f64 eps -1) 2) (*.f64 x x)) (+.f64 2 (fma.f64 (+.f64 eps -1) x (*.f64 1/6 (*.f64 (pow.f64 (+.f64 eps -1) 3) (pow.f64 x 3)))))) |
(+.f64 (fma.f64 (+.f64 eps -1) x (*.f64 1/6 (*.f64 (pow.f64 (+.f64 eps -1) 3) (pow.f64 x 3)))) (fma.f64 1/2 (*.f64 x (*.f64 x (pow.f64 (+.f64 eps -1) 2))) 2)) |
(fma.f64 (pow.f64 (+.f64 eps -1) 2) (*.f64 x (*.f64 x 1/2)) (fma.f64 1/6 (*.f64 (pow.f64 (+.f64 eps -1) 3) (pow.f64 x 3)) (-.f64 (fma.f64 eps x 2) x))) |
(fma.f64 1/2 (*.f64 (pow.f64 (+.f64 eps -1) 2) (*.f64 x x)) (fma.f64 1/6 (*.f64 (pow.f64 (+.f64 eps -1) 3) (pow.f64 x 3)) (-.f64 (fma.f64 eps x 2) x))) |
(+.f64 1 (exp.f64 (-.f64 (*.f64 eps x) x))) |
(+.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps -1))) |
(+.f64 1 (exp.f64 (-.f64 (*.f64 eps x) x))) |
(+.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps -1))) |
(+.f64 1 (exp.f64 (-.f64 (*.f64 eps x) x))) |
(+.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps -1))) |
(+.f64 1 (exp.f64 (-.f64 (*.f64 eps x) x))) |
(+.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps -1))) |
(+.f64 1 (exp.f64 (+.f64 (*.f64 eps x) (*.f64 -1 x)))) |
(+.f64 1 (exp.f64 (-.f64 (*.f64 eps x) x))) |
(+.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps -1))) |
(+.f64 1 (exp.f64 (+.f64 (*.f64 eps x) (*.f64 -1 x)))) |
(+.f64 1 (exp.f64 (-.f64 (*.f64 eps x) x))) |
(+.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps -1))) |
(+.f64 1 (exp.f64 (+.f64 (*.f64 eps x) (*.f64 -1 x)))) |
(+.f64 1 (exp.f64 (-.f64 (*.f64 eps x) x))) |
(+.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps -1))) |
(+.f64 1 (exp.f64 (+.f64 (*.f64 eps x) (*.f64 -1 x)))) |
(+.f64 1 (exp.f64 (-.f64 (*.f64 eps x) x))) |
(+.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps -1))) |
(+.f64 1 (exp.f64 (neg.f64 x))) |
(+.f64 (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) x)) (+.f64 1 (exp.f64 (neg.f64 x)))) |
(fma.f64 eps (*.f64 x (exp.f64 (neg.f64 x))) (+.f64 1 (exp.f64 (neg.f64 x)))) |
(+.f64 1 (fma.f64 eps (*.f64 x (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x)))) |
(+.f64 1 (*.f64 (fma.f64 eps x 1) (exp.f64 (neg.f64 x)))) |
(+.f64 1 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 eps x 1))) |
(+.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 1 (exp.f64 (neg.f64 x))))) |
(fma.f64 eps (*.f64 x (exp.f64 (neg.f64 x))) (fma.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x)))) (+.f64 1 (exp.f64 (neg.f64 x))))) |
(+.f64 (fma.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) (*.f64 eps eps))) 1) (fma.f64 eps (*.f64 x (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x)))) |
(+.f64 (*.f64 (fma.f64 eps x 1) (exp.f64 (neg.f64 x))) (fma.f64 1/2 (*.f64 eps (*.f64 (*.f64 x x) (/.f64 eps (exp.f64 x)))) 1)) |
(+.f64 1 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (fma.f64 eps x 1) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 1/2 x) 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 1 (+.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 (*.f64 x x) (exp.f64 (neg.f64 x)))) (+.f64 1 (fma.f64 1/6 (*.f64 (pow.f64 eps 3) (*.f64 (pow.f64 x 3) (exp.f64 (neg.f64 x)))) (exp.f64 (neg.f64 x)))))) |
(fma.f64 eps (*.f64 x (exp.f64 (neg.f64 x))) (+.f64 (fma.f64 1/6 (*.f64 (pow.f64 x 3) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 eps 3))) (exp.f64 (neg.f64 x))) (fma.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) (*.f64 eps eps))) 1))) |
(+.f64 (fma.f64 1/2 (*.f64 eps (*.f64 (*.f64 x x) (/.f64 eps (exp.f64 x)))) (fma.f64 (/.f64 (pow.f64 eps 3) (exp.f64 x)) (*.f64 1/6 (pow.f64 x 3)) 1)) (*.f64 (fma.f64 eps x 1) (exp.f64 (neg.f64 x)))) |
(+.f64 1 (+.f64 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 eps x 1)) (*.f64 (/.f64 (*.f64 x x) (exp.f64 x)) (+.f64 (*.f64 eps (*.f64 eps 1/2)) (*.f64 x (*.f64 1/6 (pow.f64 eps 3))))))) |
(+.f64 1 (exp.f64 (-.f64 (*.f64 eps x) x))) |
(+.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps -1))) |
(+.f64 1 (exp.f64 (-.f64 (*.f64 eps x) x))) |
(+.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps -1))) |
(+.f64 1 (exp.f64 (-.f64 (*.f64 eps x) x))) |
(+.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps -1))) |
(+.f64 1 (exp.f64 (-.f64 (*.f64 eps x) x))) |
(+.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps -1))) |
(+.f64 1 (exp.f64 (-.f64 (*.f64 eps x) x))) |
(+.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps -1))) |
(+.f64 1 (exp.f64 (-.f64 (*.f64 eps x) x))) |
(+.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps -1))) |
(+.f64 1 (exp.f64 (-.f64 (*.f64 eps x) x))) |
(+.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps -1))) |
(+.f64 1 (exp.f64 (-.f64 (*.f64 eps x) x))) |
(+.f64 1 (pow.f64 (exp.f64 x) (+.f64 eps -1))) |
(*.f64 (-.f64 eps 1) x) |
(-.f64 (*.f64 eps x) x) |
(*.f64 (-.f64 eps 1) x) |
(-.f64 (*.f64 eps x) x) |
(*.f64 (-.f64 eps 1) x) |
(-.f64 (*.f64 eps x) x) |
(*.f64 (-.f64 eps 1) x) |
(-.f64 (*.f64 eps x) x) |
(*.f64 (-.f64 eps 1) x) |
(-.f64 (*.f64 eps x) x) |
(*.f64 (-.f64 eps 1) x) |
(-.f64 (*.f64 eps x) x) |
(*.f64 (-.f64 eps 1) x) |
(-.f64 (*.f64 eps x) x) |
(*.f64 (-.f64 eps 1) x) |
(-.f64 (*.f64 eps x) x) |
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)) |
(-.f64 (*.f64 eps x) x) |
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)) |
(-.f64 (*.f64 eps x) x) |
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)) |
(-.f64 (*.f64 eps x) x) |
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)) |
(-.f64 (*.f64 eps x) x) |
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 (*.f64 eps x) (*.f64 -1 x)) |
(-.f64 (*.f64 eps x) x) |
(+.f64 (*.f64 eps x) (*.f64 -1 x)) |
(-.f64 (*.f64 eps x) x) |
(+.f64 (*.f64 eps x) (*.f64 -1 x)) |
(-.f64 (*.f64 eps x) x) |
(*.f64 eps x) |
(+.f64 (*.f64 eps x) (*.f64 -1 x)) |
(-.f64 (*.f64 eps x) x) |
(+.f64 (*.f64 eps x) (*.f64 -1 x)) |
(-.f64 (*.f64 eps x) x) |
(+.f64 (*.f64 eps x) (*.f64 -1 x)) |
(-.f64 (*.f64 eps x) x) |
(*.f64 eps x) |
(+.f64 (*.f64 eps x) (*.f64 -1 x)) |
(-.f64 (*.f64 eps x) x) |
(+.f64 (*.f64 eps x) (*.f64 -1 x)) |
(-.f64 (*.f64 eps x) x) |
(+.f64 (*.f64 eps x) (*.f64 -1 x)) |
(-.f64 (*.f64 eps x) x) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (*.f64 (-.f64 1 eps) x) | |
| ✓ | 0.0b | (-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (-.f64 1 (*.f64 eps x)))) |
| 0.0b | (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) |
Compiled 75 to 48 computations (36% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | -inf | (-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (-.f64 1 (*.f64 eps x)))) |
| 1.0ms | eps | @ | 0 | (-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (-.f64 1 (*.f64 eps x)))) |
| 0.0ms | x | @ | inf | (-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (-.f64 1 (*.f64 eps x)))) |
| 0.0ms | eps | @ | -inf | (-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (-.f64 1 (*.f64 eps x)))) |
| 0.0ms | eps | @ | inf | (-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (-.f64 1 (*.f64 eps x)))) |
| 1× | batch-egg-rewrite |
| 624× | log-prod_binary64 |
| 411× | fma-def_binary64 |
| 317× | pow2_binary64 |
| 238× | pow-unpow_binary64 |
| 218× | pow1/3_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 20 |
| 1 | 284 | 18 |
| 2 | 4022 | 18 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (-.f64 1 (*.f64 eps x)))) |
| Outputs |
|---|
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(pow.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)) 2))) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 1 (*.f64 eps x)))) (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 eps x)) 2)) (-.f64 1 (*.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (*.f64 eps x) 3)) (/.f64 1 (fma.f64 (*.f64 eps x) (fma.f64 eps x 1) 1)) (pow.f64 (exp.f64 x) (-.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (*.f64 eps x) 2)) (/.f64 1 (fma.f64 eps x 1)) (pow.f64 (exp.f64 x) (-.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 eps x)))) (sqrt.f64 (-.f64 1 (*.f64 eps x))) (pow.f64 (exp.f64 x) (-.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (sqrt.f64 (-.f64 1 (*.f64 eps x)))) (-.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (sqrt.f64 (-.f64 1 (*.f64 eps x)))) (+.f64 (-.f64 1 (*.f64 eps x)) (-.f64 1 (*.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (sqrt.f64 (-.f64 1 (*.f64 eps x)))) (-.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) (sqrt.f64 (-.f64 1 (*.f64 eps x)))) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 1 (*.f64 eps x)))) (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 eps x)) 2)) (-.f64 1 (*.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 eps x)) 2))) (cbrt.f64 (-.f64 1 (*.f64 eps x))) (pow.f64 (exp.f64 x) (-.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 eps x)) 2))) (cbrt.f64 (-.f64 1 (*.f64 eps x))) (pow.f64 (exp.f64 x) (-.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sqrt.f64 (-.f64 1 (*.f64 eps x)))) (sqrt.f64 (-.f64 1 (*.f64 eps x))) (pow.f64 (exp.f64 x) (-.f64 1 eps))))))) |
| 1× | egg-herbie |
| 609× | distribute-rgt-in_binary64 |
| 598× | distribute-lft-in_binary64 |
| 372× | unswap-sqr_binary64 |
| 338× | associate-*l*_binary64 |
| 298× | associate-*r*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 478 |
| 1 | 207 | 461 |
| 2 | 609 | 423 |
| 3 | 2867 | 394 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 1 (exp.f64 (neg.f64 x))) |
(+.f64 (*.f64 eps (-.f64 (*.f64 (exp.f64 (neg.f64 x)) x) x)) (+.f64 1 (exp.f64 (neg.f64 x)))) |
(+.f64 (*.f64 eps (-.f64 (*.f64 (exp.f64 (neg.f64 x)) x) x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (+.f64 1 (exp.f64 (neg.f64 x))))) |
(+.f64 (*.f64 eps (-.f64 (*.f64 (exp.f64 (neg.f64 x)) x) x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (+.f64 1 (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))) (exp.f64 (neg.f64 x)))))) |
(*.f64 -1 (*.f64 eps x)) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))) |
(*.f64 -1 (*.f64 eps x)) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))) |
2 |
(+.f64 2 (*.f64 -1 x)) |
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 2 (*.f64 -1 x))) |
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 2 (+.f64 (*.f64 -1 x) (*.f64 1/6 (*.f64 (pow.f64 (-.f64 eps 1) 3) (pow.f64 x 3)))))) |
(*.f64 -1 (*.f64 eps x)) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (-.f64 (*.f64 eps x) x)))) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (-.f64 (*.f64 eps x) x)))) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (-.f64 (*.f64 eps x) x)))) |
(*.f64 -1 (*.f64 eps x)) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))) |
| Outputs |
|---|
(+.f64 1 (exp.f64 (neg.f64 x))) |
(+.f64 (*.f64 eps (-.f64 (*.f64 (exp.f64 (neg.f64 x)) x) x)) (+.f64 1 (exp.f64 (neg.f64 x)))) |
(fma.f64 eps (-.f64 (*.f64 x (exp.f64 (neg.f64 x))) x) (+.f64 1 (exp.f64 (neg.f64 x)))) |
(+.f64 (exp.f64 (neg.f64 x)) (fma.f64 eps (fma.f64 x (exp.f64 (neg.f64 x)) (neg.f64 x)) 1)) |
(+.f64 1 (fma.f64 eps (-.f64 (/.f64 x (exp.f64 x)) x) (exp.f64 (neg.f64 x)))) |
(+.f64 (*.f64 eps (-.f64 (*.f64 (exp.f64 (neg.f64 x)) x) x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (+.f64 1 (exp.f64 (neg.f64 x))))) |
(fma.f64 eps (-.f64 (*.f64 x (exp.f64 (neg.f64 x))) x) (fma.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x))) (+.f64 1 (exp.f64 (neg.f64 x))))) |
(fma.f64 eps (fma.f64 x (exp.f64 (neg.f64 x)) (neg.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 1/2 (*.f64 eps eps)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) 1))) |
(+.f64 (exp.f64 (neg.f64 x)) (fma.f64 eps (-.f64 (/.f64 x (exp.f64 x)) x) (fma.f64 (*.f64 eps eps) (/.f64 (*.f64 (*.f64 1/2 x) x) (exp.f64 x)) 1))) |
(+.f64 1 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (*.f64 (/.f64 x (exp.f64 x)) (+.f64 (*.f64 (*.f64 1/2 (*.f64 eps eps)) x) eps)) (*.f64 x eps)))) |
(+.f64 (*.f64 eps (-.f64 (*.f64 (exp.f64 (neg.f64 x)) x) x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 2)))) (+.f64 1 (+.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 (*.f64 x (exp.f64 (neg.f64 x))) x) (fma.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x))) (+.f64 1 (fma.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 (fma.f64 x (exp.f64 (neg.f64 x)) (neg.f64 x)) (+.f64 (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 3) (pow.f64 eps 3))) (exp.f64 (neg.f64 x))) (fma.f64 (*.f64 1/2 (*.f64 eps eps)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) 1))) |
(fma.f64 eps (-.f64 (/.f64 x (exp.f64 x)) x) (+.f64 (fma.f64 (pow.f64 eps 3) (*.f64 1/6 (/.f64 (pow.f64 x 3) (exp.f64 x))) 1) (*.f64 (+.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 1/2 x) x)) 1) (exp.f64 (neg.f64 x))))) |
(+.f64 (fma.f64 eps (-.f64 (/.f64 x (exp.f64 x)) x) 1) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x (/.f64 x (exp.f64 x))) (+.f64 (*.f64 x (*.f64 1/6 (pow.f64 eps 3))) (*.f64 1/2 (*.f64 eps eps)))))) |
(*.f64 -1 (*.f64 eps x)) |
(neg.f64 (*.f64 x eps)) |
(*.f64 (neg.f64 x) eps) |
(*.f64 x (neg.f64 eps)) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))) |
(+.f64 1 (fma.f64 -1 (*.f64 x eps) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))) |
(+.f64 1 (-.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (*.f64 x eps))) |
(+.f64 1 (-.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (*.f64 x eps))) |
(-.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (fma.f64 x eps -1)) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))) |
(+.f64 1 (fma.f64 -1 (*.f64 x eps) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))) |
(+.f64 1 (-.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (*.f64 x eps))) |
(+.f64 1 (-.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (*.f64 x eps))) |
(-.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (fma.f64 x eps -1)) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))) |
(+.f64 1 (fma.f64 -1 (*.f64 x eps) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))) |
(+.f64 1 (-.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (*.f64 x eps))) |
(+.f64 1 (-.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (*.f64 x eps))) |
(-.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (fma.f64 x eps -1)) |
(*.f64 -1 (*.f64 eps x)) |
(neg.f64 (*.f64 x eps)) |
(*.f64 (neg.f64 x) eps) |
(*.f64 x (neg.f64 eps)) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))) |
(+.f64 1 (fma.f64 -1 (*.f64 x eps) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))) |
(+.f64 1 (-.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (*.f64 x eps))) |
(+.f64 1 (-.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (*.f64 x eps))) |
(-.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (fma.f64 x eps -1)) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))) |
(+.f64 1 (fma.f64 -1 (*.f64 x eps) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))) |
(+.f64 1 (-.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (*.f64 x eps))) |
(+.f64 1 (-.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (*.f64 x eps))) |
(-.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (fma.f64 x eps -1)) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))) |
(+.f64 1 (fma.f64 -1 (*.f64 x eps) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))) |
(+.f64 1 (-.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (*.f64 x eps))) |
(+.f64 1 (-.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (*.f64 x eps))) |
(-.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (fma.f64 x eps -1)) |
2 |
(+.f64 2 (*.f64 -1 x)) |
(+.f64 (neg.f64 x) 2) |
(-.f64 2 x) |
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 2 (*.f64 -1 x))) |
(fma.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (+.f64 eps -1) 2)) (+.f64 (neg.f64 x) 2)) |
(-.f64 (fma.f64 1/2 (*.f64 x (*.f64 x (pow.f64 (+.f64 eps -1) 2))) 2) x) |
(-.f64 (fma.f64 (pow.f64 (+.f64 eps -1) 2) (*.f64 (*.f64 1/2 x) x) 2) x) |
(-.f64 (fma.f64 (pow.f64 (+.f64 eps -1) 2) (*.f64 x (*.f64 x 1/2)) 2) x) |
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 2 (+.f64 (*.f64 -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 2 (fma.f64 -1 x (*.f64 1/6 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps -1) 3)))))) |
(+.f64 (-.f64 (fma.f64 1/2 (*.f64 x (*.f64 x (pow.f64 (+.f64 eps -1) 2))) 2) 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)) (fma.f64 (pow.f64 x 3) (*.f64 1/6 (pow.f64 (+.f64 eps -1) 3)) (-.f64 2 x))) |
(fma.f64 1/2 (*.f64 x (*.f64 x (pow.f64 (+.f64 eps -1) 2))) (fma.f64 (pow.f64 x 3) (*.f64 1/6 (pow.f64 (+.f64 eps -1) 3)) (-.f64 2 x))) |
(*.f64 -1 (*.f64 eps x)) |
(neg.f64 (*.f64 x eps)) |
(*.f64 (neg.f64 x) eps) |
(*.f64 x (neg.f64 eps)) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (-.f64 (*.f64 eps x) x)))) |
(+.f64 1 (fma.f64 -1 (*.f64 x eps) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))) |
(+.f64 1 (-.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (*.f64 x eps))) |
(+.f64 1 (-.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (*.f64 x eps))) |
(-.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (fma.f64 x eps -1)) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (-.f64 (*.f64 eps x) x)))) |
(+.f64 1 (fma.f64 -1 (*.f64 x eps) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))) |
(+.f64 1 (-.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (*.f64 x eps))) |
(+.f64 1 (-.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (*.f64 x eps))) |
(-.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (fma.f64 x eps -1)) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (-.f64 (*.f64 eps x) x)))) |
(+.f64 1 (fma.f64 -1 (*.f64 x eps) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))) |
(+.f64 1 (-.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (*.f64 x eps))) |
(+.f64 1 (-.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (*.f64 x eps))) |
(-.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (fma.f64 x eps -1)) |
(*.f64 -1 (*.f64 eps x)) |
(neg.f64 (*.f64 x eps)) |
(*.f64 (neg.f64 x) eps) |
(*.f64 x (neg.f64 eps)) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))) |
(+.f64 1 (fma.f64 -1 (*.f64 x eps) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))) |
(+.f64 1 (-.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (*.f64 x eps))) |
(+.f64 1 (-.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (*.f64 x eps))) |
(-.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (fma.f64 x eps -1)) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))) |
(+.f64 1 (fma.f64 -1 (*.f64 x eps) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))) |
(+.f64 1 (-.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (*.f64 x eps))) |
(+.f64 1 (-.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (*.f64 x eps))) |
(-.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (fma.f64 x eps -1)) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps x)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))) |
(+.f64 1 (fma.f64 -1 (*.f64 x eps) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))) |
(+.f64 1 (-.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (*.f64 x eps))) |
(+.f64 1 (-.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (*.f64 x eps))) |
(-.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (fma.f64 x eps -1)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) | |
| ✓ | 0.0b | (/.f64 (-.f64 1 x) eps) |
| 0.0b | (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) | |
| ✓ | 4.3b | (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (/.f64 (-.f64 1 x) eps)) |
Compiled 96 to 69 computations (28.1% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | eps | @ | inf | (/.f64 (-.f64 1 x) eps) |
| 1.0ms | eps | @ | 0 | (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (/.f64 (-.f64 1 x) eps)) |
| 1.0ms | eps | @ | inf | (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (/.f64 (-.f64 1 x) eps)) |
| 1.0ms | eps | @ | -inf | (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (/.f64 (-.f64 1 x) eps)) |
| 1.0ms | x | @ | inf | (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (/.f64 (-.f64 1 x) eps)) |
| 1× | batch-egg-rewrite |
| 805× | log-prod_binary64 |
| 646× | fma-def_binary64 |
| 296× | fma-neg_binary64 |
| 274× | expm1-udef_binary64 |
| 272× | log1p-udef_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 36 |
| 1 | 323 | 33 |
| 2 | 4868 | 31 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (/.f64 (-.f64 1 x) eps)) |
(/.f64 (-.f64 1 x) eps) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 eps) (neg.f64 (/.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 1 x) eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 1 x) eps))) (cbrt.f64 (exp.f64 (/.f64 (-.f64 1 x) eps))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 1 x) eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 1 x) eps)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 1 x) eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 eps) (/.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 x) eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 1 x) eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 eps) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 x) (/.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) (/.f64 (sqrt.f64 (-.f64 1 x)) eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 eps) 2)) (/.f64 (-.f64 1 x) (cbrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 (/.f64 (-.f64 1 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 eps) 2)) (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (sqrt.f64 eps)) (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 x) (cbrt.f64 (pow.f64 eps -2))) (/.f64 1 (cbrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 x) (pow.f64 eps -1/2)) (pow.f64 eps -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 x) eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) eps)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) eps)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 x) eps) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 eps (-.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 1 x) (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 1 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (/.f64 1 eps))) (exp.f64 (/.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) eps) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 1 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 1 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 1 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 1 x) eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 eps) (neg.f64 (/.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 eps) 1 (neg.f64 (/.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (cbrt.f64 eps)) (cbrt.f64 (pow.f64 eps -2)) (neg.f64 (/.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 eps -2)) (/.f64 1 (cbrt.f64 eps)) (neg.f64 (/.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 eps -1/2) (pow.f64 eps -1/2) (neg.f64 (/.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (neg.f64 eps)) (neg.f64 (/.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (cbrt.f64 eps) 2) -1) (pow.f64 (cbrt.f64 eps) -1) (neg.f64 (/.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (sqrt.f64 eps) -1) (pow.f64 (sqrt.f64 eps) -1) (neg.f64 (/.f64 x eps))))))) |
| 1× | egg-herbie |
| 818× | times-frac_binary64 |
| 395× | associate-*l*_binary64 |
| 382× | associate-*r*_binary64 |
| 329× | fma-def_binary64 |
| 319× | unswap-sqr_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 87 | 976 |
| 1 | 273 | 936 |
| 2 | 901 | 733 |
| 3 | 4829 | 700 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) x) 1) eps) |
(-.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (/.f64 x eps)))) (/.f64 1 eps)) |
(-.f64 (+.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 (*.f64 (exp.f64 (neg.f64 x)) x) (/.f64 x eps))))) (/.f64 1 eps)) |
(-.f64 (+.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 (*.f64 (exp.f64 (neg.f64 x)) x) (/.f64 x eps)))))) (/.f64 1 eps)) |
(exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) |
(-.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) eps) (+.f64 (/.f64 x eps) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))) (/.f64 1 eps)) |
(-.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) eps) (+.f64 (/.f64 x eps) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))) (/.f64 1 eps)) |
(-.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) eps) (+.f64 (/.f64 x eps) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))) (/.f64 1 eps)) |
(exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) |
(+.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (*.f64 -1 (-.f64 1 x))) eps))) |
(+.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (*.f64 -1 (-.f64 1 x))) eps))) |
(+.f64 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (*.f64 -1 (-.f64 1 x))) eps))) |
1 |
(+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1))) x)) |
(+.f64 1 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1))) x) (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2)))))) |
(+.f64 1 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1))) 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 x eps) |
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x))) (/.f64 x eps)) (/.f64 1 eps)) |
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x))) (/.f64 x eps)) (/.f64 1 eps)) |
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (-.f64 (*.f64 eps x) x))) (/.f64 x eps)) (/.f64 1 eps)) |
(/.f64 x eps) |
(-.f64 (+.f64 (/.f64 x eps) (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))) (/.f64 1 eps)) |
(-.f64 (+.f64 (/.f64 x eps) (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))) (/.f64 1 eps)) |
(-.f64 (+.f64 (/.f64 x eps) (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))))) (/.f64 1 eps)) |
(/.f64 1 eps) |
(+.f64 (/.f64 1 eps) (*.f64 -1 (/.f64 x eps))) |
(+.f64 (/.f64 1 eps) (*.f64 -1 (/.f64 x eps))) |
(+.f64 (/.f64 1 eps) (*.f64 -1 (/.f64 x eps))) |
(*.f64 -1 (/.f64 x eps)) |
(+.f64 (/.f64 1 eps) (*.f64 -1 (/.f64 x eps))) |
(+.f64 (/.f64 1 eps) (*.f64 -1 (/.f64 x eps))) |
(+.f64 (/.f64 1 eps) (*.f64 -1 (/.f64 x eps))) |
(*.f64 -1 (/.f64 x eps)) |
(+.f64 (/.f64 1 eps) (*.f64 -1 (/.f64 x eps))) |
(+.f64 (/.f64 1 eps) (*.f64 -1 (/.f64 x eps))) |
(+.f64 (/.f64 1 eps) (*.f64 -1 (/.f64 x eps))) |
| Outputs |
|---|
(/.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) x) 1) eps) |
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 x 1)) eps) |
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1 |
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(/.f64 x eps) |
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(+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) eps) (-.f64 (+.f64 (/.f64 x eps) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (/.f64 1 eps))) |
(+.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) eps) (+.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (+.f64 (/.f64 x eps) (/.f64 -1 eps)))) |
(-.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps))) (/.f64 (-.f64 1 x) eps)) |
(fma.f64 (pow.f64 (exp.f64 x) (+.f64 eps -1)) (+.f64 1 (/.f64 1 eps)) (/.f64 (+.f64 x -1) eps)) |
(/.f64 1 eps) |
(+.f64 (/.f64 1 eps) (*.f64 -1 (/.f64 x eps))) |
(+.f64 (/.f64 1 eps) (/.f64 (neg.f64 x) eps)) |
(-.f64 (/.f64 1 eps) (/.f64 x eps)) |
(/.f64 (-.f64 1 x) eps) |
(+.f64 (/.f64 1 eps) (*.f64 -1 (/.f64 x eps))) |
(+.f64 (/.f64 1 eps) (/.f64 (neg.f64 x) eps)) |
(-.f64 (/.f64 1 eps) (/.f64 x eps)) |
(/.f64 (-.f64 1 x) eps) |
(+.f64 (/.f64 1 eps) (*.f64 -1 (/.f64 x eps))) |
(+.f64 (/.f64 1 eps) (/.f64 (neg.f64 x) eps)) |
(-.f64 (/.f64 1 eps) (/.f64 x eps)) |
(/.f64 (-.f64 1 x) eps) |
(*.f64 -1 (/.f64 x eps)) |
(/.f64 (neg.f64 x) eps) |
(+.f64 (/.f64 1 eps) (*.f64 -1 (/.f64 x eps))) |
(+.f64 (/.f64 1 eps) (/.f64 (neg.f64 x) eps)) |
(-.f64 (/.f64 1 eps) (/.f64 x eps)) |
(/.f64 (-.f64 1 x) eps) |
(+.f64 (/.f64 1 eps) (*.f64 -1 (/.f64 x eps))) |
(+.f64 (/.f64 1 eps) (/.f64 (neg.f64 x) eps)) |
(-.f64 (/.f64 1 eps) (/.f64 x eps)) |
(/.f64 (-.f64 1 x) eps) |
(+.f64 (/.f64 1 eps) (*.f64 -1 (/.f64 x eps))) |
(+.f64 (/.f64 1 eps) (/.f64 (neg.f64 x) eps)) |
(-.f64 (/.f64 1 eps) (/.f64 x eps)) |
(/.f64 (-.f64 1 x) eps) |
(*.f64 -1 (/.f64 x eps)) |
(/.f64 (neg.f64 x) eps) |
(+.f64 (/.f64 1 eps) (*.f64 -1 (/.f64 x eps))) |
(+.f64 (/.f64 1 eps) (/.f64 (neg.f64 x) eps)) |
(-.f64 (/.f64 1 eps) (/.f64 x eps)) |
(/.f64 (-.f64 1 x) eps) |
(+.f64 (/.f64 1 eps) (*.f64 -1 (/.f64 x eps))) |
(+.f64 (/.f64 1 eps) (/.f64 (neg.f64 x) eps)) |
(-.f64 (/.f64 1 eps) (/.f64 x eps)) |
(/.f64 (-.f64 1 x) eps) |
(+.f64 (/.f64 1 eps) (*.f64 -1 (/.f64 x eps))) |
(+.f64 (/.f64 1 eps) (/.f64 (neg.f64 x) eps)) |
(-.f64 (/.f64 1 eps) (/.f64 x eps)) |
(/.f64 (-.f64 1 x) eps) |
Compiled 20197 to 12653 computations (37.4% saved)
11 alts after pruning (8 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 823 | 7 | 830 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 4 | 3 | 7 |
| Total | 828 | 11 | 839 |
| Status | Error | Program |
|---|---|---|
| 12.0b | (/.f64 (exp.f64 (log.f64 (+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (exp.f64 (*.f64 x (neg.f64 eps)))))) 2) | |
| 15.9b | (/.f64 (-.f64 (exp.f64 (*.f64 x eps)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 x eps))))) 2) | |
| 16.7b | (/.f64 (+.f64 2 (*.f64 x eps)) 2) | |
| ✓ | 0.6b | (/.f64 (*.f64 2 (/.f64 (+.f64 x 1) (exp.f64 x))) 2) |
| 16.5b | (/.f64 (+.f64 1 (exp.f64 (*.f64 eps x))) 2) | |
| 17.0b | (/.f64 (+.f64 1 (pow.f64 (exp.f64 -1) (*.f64 (-.f64 1 eps) x))) 2) | |
| 17.0b | (/.f64 (+.f64 1 (pow.f64 (E.f64) (-.f64 (*.f64 x eps) x))) 2) | |
| ✓ | 46.7b | (*.f64 1/2 0) |
| 16.6b | (/.f64 (-.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (*.f64 -1 (-.f64 1 (*.f64 eps x)))) 2) | |
| 38.9b | (/.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) 2) | |
| ✓ | 16.3b | (/.f64 2 2) |
Compiled 131 to 102 computations (22.1% saved)
| Inputs |
|---|
(/.f64 2 2) |
(*.f64 1/2 0) |
(/.f64 2 2) |
(/.f64 (+.f64 2 (*.f64 x eps)) 2) |
(/.f64 (+.f64 2 (*.f64 (-.f64 eps 1) x)) 2) |
(/.f64 (+.f64 2 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 eps 1) x))) 2) |
(/.f64 (+.f64 1 (exp.f64 (*.f64 eps x))) 2) |
(/.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) 2) |
(/.f64 (+.f64 1 (exp.f64 (-.f64 (*.f64 x eps) x))) 2) |
(/.f64 (*.f64 2 (/.f64 (+.f64 x 1) (exp.f64 x))) 2) |
(/.f64 (+.f64 1 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) 2) |
(/.f64 (*.f64 2 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 x -1))) 2) |
(/.f64 (-.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (*.f64 -1 (-.f64 1 (*.f64 eps x)))) 2) |
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (-.f64 1 (*.f64 eps x)))) 2) |
(/.f64 (-.f64 (+.f64 1 (*.f64 (-.f64 eps 1) x)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 (+.f64 eps 1) x))))) 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 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (/.f64 (-.f64 1 x) eps)) 2) |
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (-.f64 (/.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 (/.f64 1 eps) 1) (+.f64 1 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2) |
(/.f64 (+.f64 1 (pow.f64 (E.f64) (-.f64 (*.f64 x eps) x))) 2) |
(/.f64 (+.f64 1 (pow.f64 (exp.f64 -1) (*.f64 (-.f64 1 eps) x))) 2) |
(/.f64 (-.f64 (exp.f64 (*.f64 x eps)) (*.f64 -1 (exp.f64 (neg.f64 (*.f64 x eps))))) 2) |
(*.f64 1/2 (+.f64 (/.f64 x (exp.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 2 x)))) |
(/.f64 (-.f64 (exp.f64 (-.f64 (*.f64 eps x) 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 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 1 (/.f64 1 eps)) (pow.f64 (exp.f64 -1) (*.f64 (-.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)) 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 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 -1) (*.f64 (-.f64 1 eps) x))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2) |
(/.f64 (exp.f64 (log.f64 (+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (exp.f64 (*.f64 x (neg.f64 eps)))))) 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))))) |
| Outputs |
|---|
(/.f64 (*.f64 2 (/.f64 (+.f64 x 1) (exp.f64 x))) 2) |
6 calls:
| 28.0ms | x |
| 27.0ms | eps |
| 9.0ms | (-.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))))) |
| 7.0ms | (-.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))))) |
| 7.0ms | (/.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 |
|---|---|---|
| 0.6b | 1 | x |
| 0.6b | 1 | eps |
| 0.6b | 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) |
| 0.6b | 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) |
| 0.6b | 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))))) |
| 0.6b | 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 627 to 465 computations (25.8% saved)
Total -61.6b remaining (-6048.2%)
Threshold costs -61.6b (-6048.2%)
| Inputs |
|---|
(/.f64 2 2) |
(*.f64 1/2 0) |
(/.f64 2 2) |
(/.f64 (+.f64 2 (*.f64 x eps)) 2) |
(/.f64 (+.f64 2 (*.f64 (-.f64 eps 1) x)) 2) |
(/.f64 (+.f64 2 (*.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (-.f64 eps 1) x))) 2) |
(/.f64 (+.f64 1 (exp.f64 (*.f64 eps x))) 2) |
(/.f64 (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x))) 2) |
(/.f64 (+.f64 1 (exp.f64 (-.f64 (*.f64 x eps) x))) 2) |
| Outputs |
|---|
(/.f64 2 2) |
(*.f64 1/2 0) |
2 calls:
| 81.0ms | eps |
| 25.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 1.0b | 2 | x |
| 12.6b | 7 | eps |
Compiled 75 to 58 computations (22.7% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 123.0ms | 8.139303396620736e-6 | 22272135.367141653 |
Compiled 156 to 149 computations (4.5% saved)
| 1× | egg-herbie |
| 1× | +-commutative_binary64 |
| 1× | *-commutative_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 24 |
| 1 | 20 | 24 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 2 (/.f64 (+.f64 x 1) (exp.f64 x))) 2) |
(if (<=.f64 x 22000000) (/.f64 2 2) (*.f64 1/2 0)) |
(/.f64 2 2) |
| Outputs |
|---|
(/.f64 (*.f64 2 (/.f64 (+.f64 x 1) (exp.f64 x))) 2) |
(if (<=.f64 x 22000000) (/.f64 2 2) (*.f64 1/2 0)) |
(if (<=.f64 x 22000000) 1 0) |
(/.f64 2 2) |
1 |
Compiled 23 to 20 computations (13% saved)
| 1× | egg-herbie |
| 589× | distribute-rgt-in_binary64 |
| 573× | distribute-lft-in_binary64 |
| 460× | cancel-sign-sub-inv_binary64 |
| 244× | fma-def_binary64 |
| 238× | associate--l+_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 226 | 2808 |
| 1 | 784 | 2503 |
| 2 | 2828 | 2100 |
| 1× | node limit |
Compiled 241 to 139 computations (42.3% saved)
Compiled 19 to 16 computations (15.8% saved)
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