Time bar (total: 1.9s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.9% | 0.1% | 0 |
| 0% | 99.9% | 0.1% | 1 |
| 0% | 99.9% | 0.1% | 2 |
| 25% | 74.9% | 0.1% | 3 |
| 62.4% | 37.5% | 0.1% | 4 |
| 68.7% | 31.2% | 0.1% | 5 |
| 68.7% | 18.7% | 12.6% | 6 |
| 68.7% | 17.2% | 14.1% | 7 |
| 68.7% | 10.1% | 21.2% | 8 |
| 68.7% | 9% | 22.3% | 9 |
| 68.7% | 5.3% | 26% | 10 |
| 68.7% | 4.6% | 26.7% | 11 |
| 68.7% | 2.7% | 28.6% | 12 |
| 68.7% | 2.3% | 29% | 13 |
| 68.7% | 1.4% | 30% | 14 |
Compiled 11 to 7 computations (36.4% saved)
| 756.0ms | 8256× | body | 128 | valid |
| 3.0ms | 31× | body | 128 | invalid |
| 2× | egg-herbie |
| 1× | +-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 26 |
| 1 | 10 | 26 |
| 0 | 2 | 2 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
| Inputs |
|---|
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/.f64 (exp.f64 b) (+.f64 (exp.f64 b) (exp.f64 a))) |
| Outputs |
|---|
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/.f64 (exp.f64 b) (+.f64 (exp.f64 b) (exp.f64 a))) |
(/.f64 (exp.f64 b) (+.f64 (exp.f64 a) (exp.f64 b))) |
Compiled 10 to 6 computations (40% saved)
| 1× | egg-herbie |
| 1× | +-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 13 |
| 1 | 8 | 13 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| Outputs |
|---|
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 1 | 1 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 2 | 2 |
| Status | Error | Program |
|---|---|---|
| ▶ | 1.0b | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
Compiled 30 to 18 computations (40% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (exp.f64 a) (exp.f64 b)) |
| ✓ | 1.0b | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | a | @ | 0 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 2.0ms | b | @ | 0 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 1.0ms | a | @ | inf | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 1.0ms | a | @ | -inf | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 1.0ms | b | @ | inf | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 1× | batch-egg-rewrite |
| 854× | pow1_binary64 |
| 793× | log1p-expm1-u_binary64 |
| 793× | expm1-log1p-u_binary64 |
| 79× | add-sqr-sqrt_binary64 |
| 78× | *-un-lft-identity_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 21 |
| 1 | 147 | 21 |
| 2 | 2116 | 21 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(+.f64 (exp.f64 a) (exp.f64 b)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 a) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (+.f64 a a))) (*.f64 (cbrt.f64 (exp.f64 a)) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) (pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2) (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 a)) (*.f64 (sqrt.f64 (exp.f64 a)) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (exp.f64 a)) (/.f64 1 (neg.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (exp.f64 (+.f64 a a))) 1) (/.f64 (cbrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (exp.f64 a)) 1) (/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (/.f64 (exp.f64 a) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (exp.f64 (+.f64 a a))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (/.f64 (sqrt.f64 (exp.f64 a)) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (exp.f64 (+.f64 a a))) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (/.f64 (cbrt.f64 (exp.f64 a)) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a 3)) (pow.f64 (exp.f64 b) 3))) (+.f64 (exp.f64 (+.f64 a a)) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 b) 2))) (-.f64 (exp.f64 a) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (exp.f64 a) (neg.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (exp.f64 (*.f64 a 3)) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (exp.f64 (*.f64 a 3)) (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 (exp.f64 (+.f64 a a)) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 b) 2)) (/.f64 1 (-.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (exp.f64 (+.f64 a a)) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))) (+.f64 (exp.f64 (*.f64 a 3)) (pow.f64 (exp.f64 b) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (exp.f64 (*.f64 a 3)) (pow.f64 (exp.f64 b) 3)) (+.f64 (exp.f64 (+.f64 a a)) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (exp.f64 (*.f64 a 3)) (pow.f64 (exp.f64 b) 3)) (+.f64 (pow.f64 (exp.f64 b) 2) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 a 3)) (pow.f64 (exp.f64 b) 3))) (neg.f64 (+.f64 (exp.f64 (+.f64 a a)) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 b) 2))) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 b) 2) (exp.f64 (+.f64 a a))) (-.f64 (exp.f64 b) (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 a) (exp.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 b) (exp.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (exp.f64 (+.f64 a a))) (cbrt.f64 (exp.f64 a)) (exp.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (cbrt.f64 (exp.f64 b)) (exp.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) (exp.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) (exp.f64 a)))))) |
| 1× | egg-herbie |
| 578× | cancel-sign-sub-inv_binary64 |
| 398× | fma-def_binary64 |
| 396× | fma-neg_binary64 |
| 222× | associate-+l+_binary64 |
| 188× | distribute-rgt-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 90 | 686 |
| 1 | 273 | 662 |
| 2 | 875 | 638 |
| 3 | 3982 | 638 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (+.f64 1 (exp.f64 b))) |
(+.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (/.f64 1 (+.f64 1 (exp.f64 b)))) |
(+.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (pow.f64 a 2)) (/.f64 1 (+.f64 1 (exp.f64 b))))) |
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/6 (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)))) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (+.f64 1 (exp.f64 b))))))) (pow.f64 a 3)) (+.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (pow.f64 a 2)) (/.f64 1 (+.f64 1 (exp.f64 b)))))) |
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) |
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (pow.f64 b 2))) (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (+.f64 1 (exp.f64 a)))) (+.f64 (*.f64 -1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/6 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (pow.f64 b 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (pow.f64 b 2))) (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) |
(+.f64 1 (exp.f64 b)) |
(+.f64 1 (+.f64 a (exp.f64 b))) |
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (exp.f64 b)))) |
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (+.f64 (*.f64 1/6 (pow.f64 a 3)) (exp.f64 b))))) |
(+.f64 1 (exp.f64 a)) |
(+.f64 1 (+.f64 (exp.f64 a) b)) |
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))) |
(+.f64 (*.f64 1/6 (pow.f64 b 3)) (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))) |
| Outputs |
|---|
(/.f64 1 (+.f64 1 (exp.f64 b))) |
(+.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (/.f64 1 (+.f64 1 (exp.f64 b)))) |
(fma.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (/.f64 1 (+.f64 1 (exp.f64 b)))) |
(fma.f64 a (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (/.f64 1 (+.f64 1 (exp.f64 b)))) |
(+.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (pow.f64 a 2)) (/.f64 1 (+.f64 1 (exp.f64 b))))) |
(fma.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (-.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (*.f64 a a) (/.f64 1 (+.f64 1 (exp.f64 b))))) |
(fma.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 -3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (*.f64 a a) (/.f64 1 (+.f64 1 (exp.f64 b))))) |
(fma.f64 a (*.f64 a (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 -3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (fma.f64 a (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (/.f64 1 (+.f64 1 (exp.f64 b))))) |
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/6 (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)))) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (+.f64 1 (exp.f64 b))))))) (pow.f64 a 3)) (+.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (pow.f64 a 2)) (/.f64 1 (+.f64 1 (exp.f64 b)))))) |
(fma.f64 (-.f64 (+.f64 (/.f64 1/6 (+.f64 1 (exp.f64 b))) (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (+.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (/.f64 2/3 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (+.f64 1 (exp.f64 b)))))) (pow.f64 a 3) (fma.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (-.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (*.f64 a a) (/.f64 1 (+.f64 1 (exp.f64 b)))))) |
(fma.f64 (-.f64 (+.f64 (/.f64 1/6 (+.f64 1 (exp.f64 b))) (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (fma.f64 1/2 (-.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 2/3 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (pow.f64 a 3) (fma.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 -3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (*.f64 a a) (/.f64 1 (+.f64 1 (exp.f64 b)))))) |
(fma.f64 (+.f64 (/.f64 1/6 (+.f64 1 (exp.f64 b))) (-.f64 (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (fma.f64 1/2 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 2/3 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))) (pow.f64 a 3) (fma.f64 a (*.f64 a (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 -3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (fma.f64 a (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (/.f64 1 (+.f64 1 (exp.f64 b)))))) |
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) |
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) |
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (neg.f64 (/.f64 (exp.f64 a) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b)))) |
(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) b)) |
(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 b (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (pow.f64 b 2))) (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) |
(fma.f64 -1 (*.f64 (fma.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (*.f64 b b)) (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (neg.f64 (/.f64 (exp.f64 a) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b))))) |
(-.f64 (-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) b)) (*.f64 b (*.f64 b (-.f64 (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))))) |
(-.f64 (fma.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 1/2 (/.f64 -1 (+.f64 1 (exp.f64 a))))) (*.f64 b (neg.f64 b)) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))) (*.f64 b (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (+.f64 1 (exp.f64 a)))) (+.f64 (*.f64 -1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/6 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (pow.f64 b 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (pow.f64 b 2))) (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) |
(fma.f64 -1 (*.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (+.f64 1 (exp.f64 a))) (fma.f64 -1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (*.f64 1/6 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (pow.f64 b 3)) (fma.f64 -1 (*.f64 (fma.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (*.f64 b b)) (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (neg.f64 (/.f64 (exp.f64 a) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b)))))) |
(-.f64 (-.f64 (-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) b)) (*.f64 b (*.f64 b (-.f64 (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))))) (*.f64 (-.f64 (fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) -1/2 (*.f64 1/6 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (/.f64 (-.f64 (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (+.f64 1 (exp.f64 a)))) (pow.f64 b 3))) |
(-.f64 (-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 b (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (*.f64 (*.f64 b b) (+.f64 (*.f64 b (-.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 1/6 (/.f64 -1/2 (+.f64 1 (exp.f64 a))))) (/.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 1/2 (/.f64 -1 (+.f64 1 (exp.f64 a))))) (+.f64 1 (exp.f64 a))))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 1/2 (/.f64 -1 (+.f64 1 (exp.f64 a)))))))) |
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b (-.f64 (/.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 1/2 (/.f64 -1 (+.f64 1 (exp.f64 a))))) (+.f64 1 (exp.f64 a))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 1/6 (/.f64 -1/2 (+.f64 1 (exp.f64 a))))))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 1/2 (/.f64 -1 (+.f64 1 (exp.f64 a)))))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (neg.f64 b)))) |
(+.f64 1 (exp.f64 b)) |
(+.f64 1 (+.f64 a (exp.f64 b))) |
(+.f64 1 (+.f64 (exp.f64 b) a)) |
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (exp.f64 b)))) |
(fma.f64 1/2 (*.f64 a a) (+.f64 1 (+.f64 (exp.f64 b) a))) |
(+.f64 1 (fma.f64 a (*.f64 a 1/2) (+.f64 (exp.f64 b) a))) |
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (+.f64 (*.f64 1/6 (pow.f64 a 3)) (exp.f64 b))))) |
(fma.f64 1/2 (*.f64 a a) (+.f64 (+.f64 1 a) (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)))) |
(+.f64 (+.f64 a (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b))) (fma.f64 1/2 (*.f64 a a) 1)) |
(+.f64 (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)) (+.f64 a (fma.f64 a (*.f64 a 1/2) 1))) |
(+.f64 1 (exp.f64 a)) |
(+.f64 1 (+.f64 (exp.f64 a) b)) |
(+.f64 1 (+.f64 b (exp.f64 a))) |
(+.f64 (exp.f64 a) (+.f64 1 b)) |
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))) |
(+.f64 (+.f64 1 (exp.f64 a)) (+.f64 b (*.f64 1/2 (*.f64 b b)))) |
(+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) |
(+.f64 (exp.f64 a) (+.f64 1 (fma.f64 1/2 (*.f64 b b) b))) |
(+.f64 (*.f64 1/6 (pow.f64 b 3)) (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))) |
(fma.f64 1/6 (pow.f64 b 3) (+.f64 (+.f64 1 (exp.f64 a)) (+.f64 b (*.f64 1/2 (*.f64 b b))))) |
(+.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) (fma.f64 1/6 (pow.f64 b 3) 1)) |
(+.f64 (exp.f64 a) (+.f64 (fma.f64 1/2 (*.f64 b b) b) (fma.f64 1/6 (pow.f64 b 3) 1))) |
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 95 | 3 | 98 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 96 | 3 | 99 |
| Status | Error | Program |
|---|---|---|
| 20.7b | (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) | |
| 10.9b | (/.f64 1 (+.f64 1 (exp.f64 b))) | |
| ▶ | 0.5b | (exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) |
Compiled 2020 to 948 computations (53.1% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (+.f64 (exp.f64 a) (exp.f64 b)) | |
| ✓ | 0.0b | (exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) |
| ✓ | 0.5b | (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) |
| ✓ | 3.2b | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 36.0ms | b | @ | -inf | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 29.0ms | a | @ | inf | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 25.0ms | a | @ | -inf | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 16.0ms | b | @ | inf | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
| 2.0ms | b | @ | 0 | (exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) |
| 1× | batch-egg-rewrite |
| 814× | prod-diff_binary64 |
| 327× | fma-def_binary64 |
| 176× | fma-neg_binary64 |
| 174× | expm1-udef_binary64 |
| 174× | log1p-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 36 |
| 1 | 186 | 36 |
| 2 | 2649 | 36 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) |
(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) |
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) |
| Outputs |
|---|
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#<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))))))) |
| 1× | egg-herbie |
| 813× | fma-def_binary64 |
| 661× | associate-*l*_binary64 |
| 453× | distribute-rgt-in_binary64 |
| 445× | distribute-lft-in_binary64 |
| 141× | associate-*l/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 136 | 1541 |
| 1 | 430 | 1461 |
| 2 | 1550 | 1350 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (+.f64 1 (exp.f64 b))) |
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log.f64 (+.f64 1 (exp.f64 b)))) |
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log.f64 (+.f64 1 (exp.f64 b))))) |
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (+.f64 (log.f64 (+.f64 1 (exp.f64 b))) (*.f64 1/6 (*.f64 (pow.f64 a 3) (-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))))))) |
(log.f64 (+.f64 1 (exp.f64 a))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (/.f64 b (+.f64 1 (exp.f64 a))))) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 b 3) (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (/.f64 b (+.f64 1 (exp.f64 a)))))) |
(*.f64 -1 (log.f64 (+.f64 1 (exp.f64 b)))) |
(+.f64 (*.f64 -1 (log.f64 (+.f64 1 (exp.f64 b)))) (*.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))))) |
(+.f64 (*.f64 -1 (log.f64 (+.f64 1 (exp.f64 b)))) (+.f64 (*.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))) (*.f64 -1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))))) |
(+.f64 (*.f64 -1 (log.f64 (+.f64 1 (exp.f64 b)))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 a 3) (-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))) (+.f64 (*.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))) (*.f64 -1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))))) |
a |
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a) |
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a) |
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a) |
a |
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a) |
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a) |
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a) |
(-.f64 a (log.f64 (+.f64 1 (exp.f64 a)))) |
(-.f64 (+.f64 a (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))) (log.f64 (+.f64 1 (exp.f64 a)))) |
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (+.f64 a (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))))) (log.f64 (+.f64 1 (exp.f64 a)))) |
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (+.f64 a (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 b 3) (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))))) (log.f64 (+.f64 1 (exp.f64 a)))) |
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))) |
(+.f64 (*.f64 a (*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))) (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))) |
(+.f64 (*.f64 (pow.f64 a 2) (*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))) (+.f64 (*.f64 1/2 (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 2)) (*.f64 -1/2 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))))) (+.f64 (*.f64 a (*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))) (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))))) |
(+.f64 (*.f64 (pow.f64 a 2) (*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))) (+.f64 (*.f64 1/2 (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 2)) (*.f64 -1/2 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))))) (+.f64 (*.f64 a (*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))) (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (+.f64 (*.f64 (pow.f64 a 3) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (+.f64 (*.f64 -1/6 (-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (*.f64 1/6 (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 3)))) (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))))) (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))))) |
(exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (*.f64 -1 a)))) |
(exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (*.f64 -1 a)))) |
(exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (*.f64 -1 a)))) |
(exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (*.f64 -1 a)))) |
(exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))) |
(+.f64 (exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))) b) (+.f64 1 (exp.f64 a))))) |
(+.f64 (exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))) (+.f64 (*.f64 (exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))) (*.f64 (+.f64 (*.f64 -1/2 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (pow.f64 b 2))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))) b) (+.f64 1 (exp.f64 a)))))) |
(+.f64 (exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))) (+.f64 (*.f64 (exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))) (*.f64 (pow.f64 b 3) (-.f64 (+.f64 (*.f64 1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (+.f64 1 (exp.f64 a)))) (*.f64 -1/6 (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (*.f64 1/6 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)))))) (+.f64 (*.f64 (exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))) (*.f64 (+.f64 (*.f64 -1/2 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (pow.f64 b 2))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))) b) (+.f64 1 (exp.f64 a))))))) |
| Outputs |
|---|
(log.f64 (+.f64 1 (exp.f64 b))) |
(log1p.f64 (exp.f64 b)) |
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log.f64 (+.f64 1 (exp.f64 b)))) |
(+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b)))) |
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log.f64 (+.f64 1 (exp.f64 b))))) |
(fma.f64 1/2 (*.f64 (*.f64 a a) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b))))) |
(+.f64 (log1p.f64 (exp.f64 b)) (fma.f64 (*.f64 1/2 (*.f64 a a)) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (/.f64 a (+.f64 1 (exp.f64 b))))) |
(fma.f64 1/2 (*.f64 a (/.f64 (+.f64 a (/.f64 (neg.f64 a) (+.f64 1 (exp.f64 b)))) (+.f64 1 (exp.f64 b)))) (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b))))) |
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (+.f64 (log.f64 (+.f64 1 (exp.f64 b))) (*.f64 1/6 (*.f64 (pow.f64 a 3) (-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))))))) |
(fma.f64 1/2 (*.f64 (*.f64 a a) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b)))) (*.f64 (*.f64 1/6 (pow.f64 a 3)) (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 3 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))))) |
(+.f64 (fma.f64 1/6 (*.f64 (pow.f64 a 3) (+.f64 (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.f64 -3 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (log1p.f64 (exp.f64 b))) (fma.f64 (*.f64 1/2 (*.f64 a a)) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (/.f64 a (+.f64 1 (exp.f64 b))))) |
(fma.f64 1/2 (*.f64 a (/.f64 (+.f64 a (/.f64 (neg.f64 a) (+.f64 1 (exp.f64 b)))) (+.f64 1 (exp.f64 b)))) (+.f64 (log1p.f64 (exp.f64 b)) (fma.f64 (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))) (/.f64 3 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (*.f64 1/6 (pow.f64 a 3)) (/.f64 a (+.f64 1 (exp.f64 b)))))) |
(log.f64 (+.f64 1 (exp.f64 a))) |
(log1p.f64 (exp.f64 a)) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) |
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (/.f64 b (+.f64 1 (exp.f64 a))))) |
(+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 b b)) (/.f64 b (+.f64 1 (exp.f64 a))))) |
(+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 1/2 (*.f64 b (*.f64 b (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (/.f64 b (+.f64 1 (exp.f64 a))))) |
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (fma.f64 (*.f64 b b) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a))) (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (log1p.f64 (exp.f64 a)))) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 b 3) (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (/.f64 b (+.f64 1 (exp.f64 a)))))) |
(fma.f64 1/6 (*.f64 (pow.f64 b 3) (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (/.f64 3 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 b b)) (/.f64 b (+.f64 1 (exp.f64 a)))))) |
(+.f64 (fma.f64 1/2 (*.f64 b (*.f64 b (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (/.f64 b (+.f64 1 (exp.f64 a)))) (fma.f64 1/6 (*.f64 (pow.f64 b 3) (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 3 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (log1p.f64 (exp.f64 a)))) |
(+.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a))) (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 b (+.f64 1 (exp.f64 a)))) (fma.f64 (+.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (/.f64 -3 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 1/6 (pow.f64 b 3)) (log1p.f64 (exp.f64 a)))) |
(*.f64 -1 (log.f64 (+.f64 1 (exp.f64 b)))) |
(neg.f64 (log1p.f64 (exp.f64 b))) |
(+.f64 (*.f64 -1 (log.f64 (+.f64 1 (exp.f64 b)))) (*.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))))) |
(fma.f64 -1 (log1p.f64 (exp.f64 b)) (*.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))))) |
(-.f64 (+.f64 a (*.f64 (/.f64 -1 (+.f64 1 (exp.f64 b))) a)) (log1p.f64 (exp.f64 b))) |
(-.f64 (+.f64 a (/.f64 (neg.f64 a) (+.f64 1 (exp.f64 b)))) (log1p.f64 (exp.f64 b))) |
(+.f64 (*.f64 -1 (log.f64 (+.f64 1 (exp.f64 b)))) (+.f64 (*.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))) (*.f64 -1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))))) |
(fma.f64 -1 (log1p.f64 (exp.f64 b)) (fma.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 (*.f64 (*.f64 a a) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) -1/2))) |
(-.f64 (fma.f64 (*.f64 (*.f64 a a) -1/2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (+.f64 a (*.f64 (/.f64 -1 (+.f64 1 (exp.f64 b))) a))) (log1p.f64 (exp.f64 b))) |
(-.f64 (fma.f64 (*.f64 a (/.f64 (+.f64 a (/.f64 (neg.f64 a) (+.f64 1 (exp.f64 b)))) (+.f64 1 (exp.f64 b)))) -1/2 (+.f64 a (/.f64 (neg.f64 a) (+.f64 1 (exp.f64 b))))) (log1p.f64 (exp.f64 b))) |
(+.f64 (*.f64 -1 (log.f64 (+.f64 1 (exp.f64 b)))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 a 3) (-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))) (+.f64 (*.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))) (*.f64 -1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))))) |
(fma.f64 -1 (log1p.f64 (exp.f64 b)) (fma.f64 -1/6 (*.f64 (pow.f64 a 3) (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 3 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (fma.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 (*.f64 (*.f64 a a) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) -1/2)))) |
(-.f64 (fma.f64 (*.f64 (pow.f64 a 3) -1/6) (+.f64 (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.f64 -3 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (fma.f64 (*.f64 (*.f64 a a) -1/2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (+.f64 a (*.f64 (/.f64 -1 (+.f64 1 (exp.f64 b))) a)))) (log1p.f64 (exp.f64 b))) |
(fma.f64 (pow.f64 a 3) (fma.f64 (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))) -1/6 (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (-.f64 (fma.f64 (*.f64 a (/.f64 (+.f64 a (/.f64 (neg.f64 a) (+.f64 1 (exp.f64 b)))) (+.f64 1 (exp.f64 b)))) -1/2 (+.f64 a (/.f64 (neg.f64 a) (+.f64 1 (exp.f64 b))))) (log1p.f64 (exp.f64 b)))) |
a |
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a) |
(fma.f64 -1 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) a) |
(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) |
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a) |
(fma.f64 -1 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) a) |
(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) |
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a) |
(fma.f64 -1 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) a) |
(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) |
a |
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a) |
(fma.f64 -1 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) a) |
(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) |
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a) |
(fma.f64 -1 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) a) |
(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) |
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a) |
(fma.f64 -1 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) a) |
(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) |
(-.f64 a (log.f64 (+.f64 1 (exp.f64 a)))) |
(-.f64 a (log1p.f64 (exp.f64 a))) |
(-.f64 (+.f64 a (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))) (log.f64 (+.f64 1 (exp.f64 a)))) |
(+.f64 a (-.f64 (neg.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))) |
(-.f64 (-.f64 a (/.f64 b (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a))) |
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (+.f64 a (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))))) (log.f64 (+.f64 1 (exp.f64 a)))) |
(-.f64 (fma.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 b b)) (+.f64 a (neg.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))) (log1p.f64 (exp.f64 a))) |
(-.f64 (fma.f64 (*.f64 b (*.f64 b (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) -1/2 (-.f64 a (/.f64 b (+.f64 1 (exp.f64 a))))) (log1p.f64 (exp.f64 a))) |
(-.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 -1/2 (+.f64 1 (exp.f64 a)))) (-.f64 a (/.f64 b (+.f64 1 (exp.f64 a))))) (log1p.f64 (exp.f64 a))) |
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (+.f64 a (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 b 3) (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))))) (log.f64 (+.f64 1 (exp.f64 a)))) |
(-.f64 (fma.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 b b)) (+.f64 a (fma.f64 -1/6 (*.f64 (pow.f64 b 3) (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (/.f64 3 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (neg.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))) (log1p.f64 (exp.f64 a))) |
(-.f64 (+.f64 (fma.f64 (*.f64 b (*.f64 b (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) -1/2 (-.f64 a (/.f64 b (+.f64 1 (exp.f64 a))))) (*.f64 (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 3 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (*.f64 (pow.f64 b 3) -1/6))) (log1p.f64 (exp.f64 a))) |
(-.f64 (-.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 -1/2 (+.f64 1 (exp.f64 a)))) (fma.f64 (pow.f64 b 3) (fma.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 a)) 3))) -1/6 (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) a)) (/.f64 b (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a))) |
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))) |
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))) |
(/.f64 1 (+.f64 1 (exp.f64 b))) |
(+.f64 (*.f64 a (*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))) (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))) |
(fma.f64 a (*.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))) |
(fma.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (+.f64 1 (/.f64 -1 (+.f64 1 (exp.f64 b)))) (/.f64 1 (+.f64 1 (exp.f64 b)))) |
(*.f64 (+.f64 (+.f64 a (/.f64 (neg.f64 a) (+.f64 1 (exp.f64 b)))) 1) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))) |
(+.f64 (*.f64 (pow.f64 a 2) (*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))) (+.f64 (*.f64 1/2 (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 2)) (*.f64 -1/2 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))))) (+.f64 (*.f64 a (*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))) (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))))) |
(fma.f64 (*.f64 a a) (*.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))) (fma.f64 1/2 (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 2) (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) -1/2))) (fma.f64 a (*.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))))) |
(fma.f64 (*.f64 a (/.f64 a (+.f64 1 (exp.f64 b)))) (fma.f64 1/2 (pow.f64 (+.f64 1 (/.f64 -1 (+.f64 1 (exp.f64 b)))) 2) (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) -1/2)) (fma.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (+.f64 1 (/.f64 -1 (+.f64 1 (exp.f64 b)))) (/.f64 1 (+.f64 1 (exp.f64 b))))) |
(fma.f64 a (/.f64 (*.f64 a (fma.f64 (/.f64 (-.f64 1 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))) (+.f64 1 (exp.f64 b))) -1/2 (*.f64 1/2 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))) 2)))) (+.f64 1 (exp.f64 b))) (*.f64 (+.f64 (+.f64 a (/.f64 (neg.f64 a) (+.f64 1 (exp.f64 b)))) 1) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))))) |
(+.f64 (*.f64 (pow.f64 a 2) (*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))) (+.f64 (*.f64 1/2 (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 2)) (*.f64 -1/2 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))))) (+.f64 (*.f64 a (*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))) (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (+.f64 (*.f64 (pow.f64 a 3) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (+.f64 (*.f64 -1/6 (-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (*.f64 1/6 (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 3)))) (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))))) (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))))) |
(fma.f64 (*.f64 a a) (*.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))) (fma.f64 1/2 (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 2) (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) -1/2))) (fma.f64 a (*.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))) (fma.f64 (pow.f64 a 3) (*.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))) (fma.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))) (fma.f64 -1/6 (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 3 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (*.f64 1/6 (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 3))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))))) |
(fma.f64 (*.f64 a (/.f64 a (+.f64 1 (exp.f64 b)))) (fma.f64 1/2 (pow.f64 (+.f64 1 (/.f64 -1 (+.f64 1 (exp.f64 b)))) 2) (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) -1/2)) (fma.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (+.f64 1 (/.f64 -1 (+.f64 1 (exp.f64 b)))) (*.f64 (+.f64 (*.f64 (pow.f64 a 3) (fma.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (+.f64 1 (/.f64 -1 (+.f64 1 (exp.f64 b))))) (fma.f64 1/6 (pow.f64 (+.f64 1 (/.f64 -1 (+.f64 1 (exp.f64 b)))) 3) (*.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.f64 -3 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) -1/6)))) 1) (/.f64 1 (+.f64 1 (exp.f64 b)))))) |
(fma.f64 a (/.f64 (*.f64 a (fma.f64 (/.f64 (-.f64 1 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))) (+.f64 1 (exp.f64 b))) -1/2 (*.f64 1/2 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))) 2)))) (+.f64 1 (exp.f64 b))) (*.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))) (+.f64 (+.f64 a (/.f64 (neg.f64 a) (+.f64 1 (exp.f64 b)))) (fma.f64 (pow.f64 a 3) (fma.f64 1/6 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))) 3) (fma.f64 -1/2 (/.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))) 2) (+.f64 1 (exp.f64 b))) (fma.f64 (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))) -1/6 (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) 1)))) |
(exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (*.f64 -1 a)))) |
(exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (neg.f64 a)))) |
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (*.f64 -1 a)))) |
(exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (neg.f64 a)))) |
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (*.f64 -1 a)))) |
(exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (neg.f64 a)))) |
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (*.f64 -1 a)))) |
(exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (neg.f64 a)))) |
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))) |
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) |
(+.f64 (exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))) b) (+.f64 1 (exp.f64 a))))) |
(+.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (neg.f64 (/.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (/.f64 (+.f64 1 (exp.f64 a)) b)))) |
(-.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (*.f64 (/.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (+.f64 1 (exp.f64 a))) b)) |
(-.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) |
(+.f64 (exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))) (+.f64 (*.f64 (exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))) (*.f64 (+.f64 (*.f64 -1/2 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (pow.f64 b 2))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))) b) (+.f64 1 (exp.f64 a)))))) |
(+.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (fma.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (*.f64 (*.f64 b b) (fma.f64 -1/2 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (neg.f64 (/.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (/.f64 (+.f64 1 (exp.f64 a)) b))))) |
(-.f64 (*.f64 (+.f64 (*.f64 (*.f64 b b) (fma.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) -1/2 (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) 1) (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) (*.f64 (/.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (+.f64 1 (exp.f64 a))) b)) |
(-.f64 (*.f64 (fma.f64 (*.f64 b b) (+.f64 (+.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 -1/2 (+.f64 1 (exp.f64 a)))) (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) 1) (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) |
(+.f64 (exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))) (+.f64 (*.f64 (exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))) (*.f64 (pow.f64 b 3) (-.f64 (+.f64 (*.f64 1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (+.f64 1 (exp.f64 a)))) (*.f64 -1/6 (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (*.f64 1/6 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)))))) (+.f64 (*.f64 (exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))) (*.f64 (+.f64 (*.f64 -1/2 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (pow.f64 b 2))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))) b) (+.f64 1 (exp.f64 a))))))) |
(+.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (fma.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (*.f64 (pow.f64 b 3) (-.f64 (fma.f64 1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (+.f64 1 (exp.f64 a))) (*.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (/.f64 3 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) -1/6)) (/.f64 1/6 (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (fma.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (*.f64 (*.f64 b b) (fma.f64 -1/2 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (neg.f64 (/.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (/.f64 (+.f64 1 (exp.f64 a)) b)))))) |
(+.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (-.f64 (*.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (+.f64 (*.f64 (pow.f64 b 3) (fma.f64 1/2 (-.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (fma.f64 (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 3 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) -1/6 (/.f64 -1/6 (pow.f64 (+.f64 1 (exp.f64 a)) 3))))) (*.f64 (*.f64 b b) (fma.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) -1/2 (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (*.f64 (/.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (+.f64 1 (exp.f64 a))) b))) |
(-.f64 (*.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (+.f64 (fma.f64 (pow.f64 b 3) (fma.f64 1/2 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (fma.f64 (+.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (/.f64 -3 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) -1/6 (/.f64 -1/6 (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) 1) (*.f64 (*.f64 b b) (+.f64 (+.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 -1/2 (+.f64 1 (exp.f64 a)))) (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) |
3 alts after pruning (2 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 242 | 1 | 243 |
| Fresh | 1 | 1 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 243 | 3 | 246 |
| Status | Error | Program |
|---|---|---|
| 10.9b | (/.f64 1 (+.f64 1 (exp.f64 b))) | |
| ▶ | 1.6b | (exp.f64 (-.f64 a (log1p.f64 (exp.f64 b)))) |
| ✓ | 0.5b | (exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) |
Compiled 5581 to 2305 computations (58.7% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (exp.f64 (-.f64 a (log1p.f64 (exp.f64 b)))) |
| ✓ | 0.2b | (log1p.f64 (exp.f64 b)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 18.0ms | b | @ | -inf | (log1p.f64 (exp.f64 b)) |
| 14.0ms | b | @ | inf | (log1p.f64 (exp.f64 b)) |
| 1.0ms | b | @ | 0 | (exp.f64 (-.f64 a (log1p.f64 (exp.f64 b)))) |
| 1.0ms | a | @ | 0 | (exp.f64 (-.f64 a (log1p.f64 (exp.f64 b)))) |
| 1.0ms | b | @ | 0 | (log1p.f64 (exp.f64 b)) |
| 1× | batch-egg-rewrite |
| 742× | pow1_binary64 |
| 686× | add-log-exp_binary64 |
| 686× | expm1-log1p-u_binary64 |
| 685× | log1p-expm1-u_binary64 |
| 74× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 15 |
| 1 | 141 | 15 |
| 2 | 1854 | 15 |
| 1× | node limit |
| Inputs |
|---|
(log1p.f64 (exp.f64 b)) |
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 b)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (exp.f64 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (exp.f64 b)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 b)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 a) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 a) (/.f64 1 (+.f64 (exp.f64 b) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 b))))) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 b))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 b))))) 2) (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 b))))) (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (exp.f64 b) 1) (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 a) (+.f64 (exp.f64 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (exp.f64 a)) (neg.f64 (+.f64 (exp.f64 b) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 b)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 b))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 b))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (-.f64 a (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 a (log1p.f64 (exp.f64 b)))) 2)) (cbrt.f64 (-.f64 a (log1p.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (-.f64 a (log1p.f64 (exp.f64 b))))) (sqrt.f64 (-.f64 a (log1p.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 b)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 b)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 b)))))))))) |
| 1× | egg-herbie |
| 302× | *-commutative_binary64 |
| 280× | fma-def_binary64 |
| 257× | times-frac_binary64 |
| 255× | fma-neg_binary64 |
| 201× | associate-*l/_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 504 |
| 1 | 185 | 406 |
| 2 | 483 | 366 |
| 3 | 1659 | 356 |
| 4 | 4024 | 355 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 2) |
(+.f64 (*.f64 1/2 b) (log.f64 2)) |
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 1/8 (pow.f64 b 2)) (log.f64 2))) |
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 1/8 (pow.f64 b 2)) (+.f64 (log.f64 2) (*.f64 -1/192 (pow.f64 b 4))))) |
(log.f64 (+.f64 1 (exp.f64 b))) |
(log.f64 (+.f64 1 (exp.f64 b))) |
(log.f64 (+.f64 1 (exp.f64 b))) |
(log.f64 (+.f64 1 (exp.f64 b))) |
(log.f64 (+.f64 1 (exp.f64 b))) |
(log.f64 (+.f64 1 (exp.f64 b))) |
(log.f64 (+.f64 1 (exp.f64 b))) |
(log.f64 (+.f64 1 (exp.f64 b))) |
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))) |
(+.f64 (*.f64 a (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))) (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))) |
(+.f64 (*.f64 a (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))) (+.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))) (*.f64 1/2 (*.f64 (pow.f64 a 2) (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))))))) |
(+.f64 (*.f64 a (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 a 3) (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))))) (+.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))) (*.f64 1/2 (*.f64 (pow.f64 a 2) (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))))))) |
(exp.f64 (neg.f64 (+.f64 (log1p.f64 (exp.f64 b)) (*.f64 -1 a)))) |
(exp.f64 (neg.f64 (+.f64 (log1p.f64 (exp.f64 b)) (*.f64 -1 a)))) |
(exp.f64 (neg.f64 (+.f64 (log1p.f64 (exp.f64 b)) (*.f64 -1 a)))) |
(exp.f64 (neg.f64 (+.f64 (log1p.f64 (exp.f64 b)) (*.f64 -1 a)))) |
(exp.f64 (-.f64 a (log.f64 2))) |
(+.f64 (exp.f64 (-.f64 a (log.f64 2))) (*.f64 -1/2 (*.f64 (exp.f64 (-.f64 a (log.f64 2))) b))) |
(+.f64 (exp.f64 (-.f64 a (log.f64 2))) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (-.f64 a (log.f64 2))) b)) (*.f64 1/24 (*.f64 (exp.f64 (-.f64 a (log.f64 2))) (pow.f64 b 3))))) |
(+.f64 (exp.f64 (-.f64 a (log.f64 2))) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (-.f64 a (log.f64 2))) b)) (+.f64 (*.f64 -1/240 (*.f64 (exp.f64 (-.f64 a (log.f64 2))) (pow.f64 b 5))) (*.f64 1/24 (*.f64 (exp.f64 (-.f64 a (log.f64 2))) (pow.f64 b 3)))))) |
(exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 b))))) |
(exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 b))))) |
(exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 b))))) |
(exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 b))))) |
(exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 b))))) |
(exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 b))))) |
(exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 b))))) |
(exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 b))))) |
| Outputs |
|---|
(log.f64 2) |
(+.f64 (*.f64 1/2 b) (log.f64 2)) |
(fma.f64 1/2 b (log.f64 2)) |
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 1/8 (pow.f64 b 2)) (log.f64 2))) |
(fma.f64 1/2 b (fma.f64 1/8 (*.f64 b b) (log.f64 2))) |
(fma.f64 1/2 b (fma.f64 b (*.f64 b 1/8) (log.f64 2))) |
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 1/8 (pow.f64 b 2)) (+.f64 (log.f64 2) (*.f64 -1/192 (pow.f64 b 4))))) |
(fma.f64 1/2 b (+.f64 (fma.f64 1/8 (*.f64 b b) (log.f64 2)) (*.f64 -1/192 (pow.f64 b 4)))) |
(fma.f64 1/2 b (fma.f64 1/8 (*.f64 b b) (fma.f64 -1/192 (pow.f64 b 4) (log.f64 2)))) |
(fma.f64 1/2 b (fma.f64 b (*.f64 b 1/8) (fma.f64 -1/192 (pow.f64 b 4) (log.f64 2)))) |
(log.f64 (+.f64 1 (exp.f64 b))) |
(log1p.f64 (exp.f64 b)) |
(log.f64 (+.f64 1 (exp.f64 b))) |
(log1p.f64 (exp.f64 b)) |
(log.f64 (+.f64 1 (exp.f64 b))) |
(log1p.f64 (exp.f64 b)) |
(log.f64 (+.f64 1 (exp.f64 b))) |
(log1p.f64 (exp.f64 b)) |
(log.f64 (+.f64 1 (exp.f64 b))) |
(log1p.f64 (exp.f64 b)) |
(log.f64 (+.f64 1 (exp.f64 b))) |
(log1p.f64 (exp.f64 b)) |
(log.f64 (+.f64 1 (exp.f64 b))) |
(log1p.f64 (exp.f64 b)) |
(log.f64 (+.f64 1 (exp.f64 b))) |
(log1p.f64 (exp.f64 b)) |
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))) |
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))) |
(/.f64 1 (+.f64 1 (exp.f64 b))) |
(+.f64 (*.f64 a (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))) (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))) |
(*.f64 (+.f64 a 1) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))) |
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (+.f64 1 a)) |
(/.f64 (+.f64 1 a) (+.f64 1 (exp.f64 b))) |
(+.f64 (*.f64 a (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))) (+.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))) (*.f64 1/2 (*.f64 (pow.f64 a 2) (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))))))) |
(+.f64 (*.f64 (+.f64 a 1) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))) (*.f64 a a)))) |
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (+.f64 (+.f64 1 a) (*.f64 1/2 (*.f64 a a)))) |
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (+.f64 a (fma.f64 1/2 (*.f64 a a) 1))) |
(/.f64 (+.f64 a (fma.f64 1/2 (*.f64 a a) 1)) (+.f64 1 (exp.f64 b))) |
(/.f64 (+.f64 1 (fma.f64 1/2 (*.f64 a a) a)) (+.f64 1 (exp.f64 b))) |
(+.f64 (*.f64 a (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 a 3) (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))))) (+.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))) (*.f64 1/2 (*.f64 (pow.f64 a 2) (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))))))) |
(fma.f64 a (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))) (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))) (pow.f64 a 3)) (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))) (*.f64 a a)))))) |
(+.f64 (*.f64 (+.f64 (*.f64 1/2 (*.f64 a a)) 1) (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (+.f64 a (*.f64 1/6 (pow.f64 a 3))))) |
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (+.f64 (*.f64 1/6 (pow.f64 a 3)) (+.f64 a (fma.f64 1/2 (*.f64 a a) 1)))) |
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (+.f64 a (+.f64 1 (*.f64 (*.f64 a a) (+.f64 (*.f64 a 1/6) 1/2))))) |
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (+.f64 (fma.f64 1/6 (pow.f64 a 3) a) (fma.f64 1/2 (*.f64 a a) 1))) |
(exp.f64 (neg.f64 (+.f64 (log1p.f64 (exp.f64 b)) (*.f64 -1 a)))) |
(exp.f64 (neg.f64 (+.f64 (log1p.f64 (exp.f64 b)) (neg.f64 a)))) |
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 b)))) |
(exp.f64 (neg.f64 (+.f64 (log1p.f64 (exp.f64 b)) (*.f64 -1 a)))) |
(exp.f64 (neg.f64 (+.f64 (log1p.f64 (exp.f64 b)) (neg.f64 a)))) |
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 b)))) |
(exp.f64 (neg.f64 (+.f64 (log1p.f64 (exp.f64 b)) (*.f64 -1 a)))) |
(exp.f64 (neg.f64 (+.f64 (log1p.f64 (exp.f64 b)) (neg.f64 a)))) |
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 b)))) |
(exp.f64 (neg.f64 (+.f64 (log1p.f64 (exp.f64 b)) (*.f64 -1 a)))) |
(exp.f64 (neg.f64 (+.f64 (log1p.f64 (exp.f64 b)) (neg.f64 a)))) |
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 b)))) |
(exp.f64 (-.f64 a (log.f64 2))) |
(/.f64 (exp.f64 a) 2) |
(*.f64 1/2 (exp.f64 a)) |
(+.f64 (exp.f64 (-.f64 a (log.f64 2))) (*.f64 -1/2 (*.f64 (exp.f64 (-.f64 a (log.f64 2))) b))) |
(+.f64 (exp.f64 (-.f64 a (log.f64 2))) (*.f64 -1/2 (*.f64 b (exp.f64 (-.f64 a (log.f64 2)))))) |
(fma.f64 -1/2 (*.f64 b (/.f64 (exp.f64 a) 2)) (/.f64 (exp.f64 a) 2)) |
(fma.f64 b (*.f64 (exp.f64 a) -1/4) (*.f64 1/2 (exp.f64 a))) |
(*.f64 (*.f64 1/2 (exp.f64 a)) (+.f64 1 (*.f64 b -1/2))) |
(+.f64 (exp.f64 (-.f64 a (log.f64 2))) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (-.f64 a (log.f64 2))) b)) (*.f64 1/24 (*.f64 (exp.f64 (-.f64 a (log.f64 2))) (pow.f64 b 3))))) |
(+.f64 (exp.f64 (-.f64 a (log.f64 2))) (fma.f64 -1/2 (*.f64 b (exp.f64 (-.f64 a (log.f64 2)))) (*.f64 1/24 (*.f64 (exp.f64 (-.f64 a (log.f64 2))) (pow.f64 b 3))))) |
(+.f64 (fma.f64 -1/2 (*.f64 b (/.f64 (exp.f64 a) 2)) (/.f64 (exp.f64 a) 2)) (*.f64 (/.f64 (exp.f64 a) 2) (*.f64 (pow.f64 b 3) 1/24))) |
(fma.f64 b (*.f64 (exp.f64 a) -1/4) (fma.f64 (pow.f64 b 3) (*.f64 (exp.f64 a) 1/48) (*.f64 1/2 (exp.f64 a)))) |
(*.f64 (*.f64 1/2 (exp.f64 a)) (+.f64 (*.f64 1/24 (pow.f64 b 3)) (+.f64 1 (*.f64 b -1/2)))) |
(+.f64 (exp.f64 (-.f64 a (log.f64 2))) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (-.f64 a (log.f64 2))) b)) (+.f64 (*.f64 -1/240 (*.f64 (exp.f64 (-.f64 a (log.f64 2))) (pow.f64 b 5))) (*.f64 1/24 (*.f64 (exp.f64 (-.f64 a (log.f64 2))) (pow.f64 b 3)))))) |
(+.f64 (exp.f64 (-.f64 a (log.f64 2))) (fma.f64 -1/2 (*.f64 b (exp.f64 (-.f64 a (log.f64 2)))) (fma.f64 -1/240 (*.f64 (exp.f64 (-.f64 a (log.f64 2))) (pow.f64 b 5)) (*.f64 1/24 (*.f64 (exp.f64 (-.f64 a (log.f64 2))) (pow.f64 b 3)))))) |
(+.f64 (/.f64 (exp.f64 a) 2) (fma.f64 -1/2 (*.f64 b (/.f64 (exp.f64 a) 2)) (fma.f64 1/24 (*.f64 (/.f64 (exp.f64 a) 2) (pow.f64 b 3)) (*.f64 (/.f64 (exp.f64 a) 2) (*.f64 (pow.f64 b 5) -1/240))))) |
(fma.f64 b (*.f64 (exp.f64 a) -1/4) (fma.f64 (exp.f64 a) 1/2 (*.f64 (*.f64 1/2 (exp.f64 a)) (+.f64 (*.f64 1/24 (pow.f64 b 3)) (*.f64 -1/240 (pow.f64 b 5)))))) |
(fma.f64 b (*.f64 (exp.f64 a) -1/4) (*.f64 (*.f64 1/2 (exp.f64 a)) (+.f64 (*.f64 -1/240 (pow.f64 b 5)) (+.f64 1 (*.f64 1/24 (pow.f64 b 3)))))) |
(exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 b))))) |
(exp.f64 (neg.f64 (+.f64 (log1p.f64 (exp.f64 b)) (neg.f64 a)))) |
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 b)))) |
(exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 b))))) |
(exp.f64 (neg.f64 (+.f64 (log1p.f64 (exp.f64 b)) (neg.f64 a)))) |
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 b)))) |
(exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 b))))) |
(exp.f64 (neg.f64 (+.f64 (log1p.f64 (exp.f64 b)) (neg.f64 a)))) |
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 b)))) |
(exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 b))))) |
(exp.f64 (neg.f64 (+.f64 (log1p.f64 (exp.f64 b)) (neg.f64 a)))) |
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 b)))) |
(exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 b))))) |
(exp.f64 (neg.f64 (+.f64 (log1p.f64 (exp.f64 b)) (neg.f64 a)))) |
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 b)))) |
(exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 b))))) |
(exp.f64 (neg.f64 (+.f64 (log1p.f64 (exp.f64 b)) (neg.f64 a)))) |
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 b)))) |
(exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 b))))) |
(exp.f64 (neg.f64 (+.f64 (log1p.f64 (exp.f64 b)) (neg.f64 a)))) |
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 b)))) |
(exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 b))))) |
(exp.f64 (neg.f64 (+.f64 (log1p.f64 (exp.f64 b)) (neg.f64 a)))) |
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 b)))) |
3 alts after pruning (1 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 67 | 0 | 67 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 67 | 3 | 70 |
| Status | Error | Program |
|---|---|---|
| ▶ | 10.9b | (/.f64 1 (+.f64 1 (exp.f64 b))) |
| ✓ | 1.6b | (exp.f64 (-.f64 a (log1p.f64 (exp.f64 b)))) |
| ✓ | 0.5b | (exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) |
Compiled 837 to 472 computations (43.6% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 1 (exp.f64 b)) |
| ✓ | 0.0b | (/.f64 1 (+.f64 1 (exp.f64 b))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | b | @ | inf | (/.f64 1 (+.f64 1 (exp.f64 b))) |
| 1.0ms | b | @ | -inf | (/.f64 1 (+.f64 1 (exp.f64 b))) |
| 0.0ms | b | @ | 0 | (/.f64 1 (+.f64 1 (exp.f64 b))) |
| 0.0ms | b | @ | 0 | (+.f64 1 (exp.f64 b)) |
| 0.0ms | b | @ | -inf | (+.f64 1 (exp.f64 b)) |
| 1× | batch-egg-rewrite |
| 596× | pow1_binary64 |
| 554× | add-log-exp_binary64 |
| 554× | log1p-expm1-u_binary64 |
| 554× | expm1-log1p-u_binary64 |
| 62× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 15 |
| 1 | 124 | 15 |
| 2 | 1561 | 15 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (+.f64 1 (exp.f64 b))) |
(+.f64 1 (exp.f64 b)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 -1 (neg.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b))) -1) (pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 b 3)))) (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (exp.f64 (+.f64 b b)))) (-.f64 1 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (exp.f64 b)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 1 (exp.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (exp.f64 b))) (/.f64 (exp.f64 (+.f64 b b)) (-.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) (cbrt.f64 (+.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b))) (hypot.f64 1 (sqrt.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (exp.f64 (*.f64 b 3))) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (exp.f64 (+.f64 b b))) (/.f64 1 (-.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))) (+.f64 1 (exp.f64 (*.f64 b 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (exp.f64 b)) (-.f64 1 (exp.f64 (+.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (neg.f64 (exp.f64 b))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (exp.f64 (*.f64 b 3))) (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (exp.f64 (*.f64 b 3))) (+.f64 (exp.f64 (+.f64 b b)) (-.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (exp.f64 (+.f64 b b))) (-.f64 1 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (exp.f64 (*.f64 b 3)))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (exp.f64 (+.f64 b b)))) (neg.f64 (-.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (exp.f64 (+.f64 b b)) 1) (expm1.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (exp.f64 (+.f64 b b))) (cbrt.f64 (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) 1))))) |
| 1× | egg-herbie |
| 1173× | fma-def_binary64 |
| 400× | unswap-sqr_binary64 |
| 346× | sqr-pow_binary64 |
| 334× | *-commutative_binary64 |
| 203× | pow-sqr_binary64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 81 |
| 1 | 69 | 75 |
| 2 | 176 | 71 |
| 3 | 509 | 67 |
| 4 | 1195 | 66 |
| 5 | 2073 | 64 |
| 6 | 3059 | 64 |
| 7 | 3352 | 64 |
| 8 | 3595 | 64 |
| 9 | 3904 | 64 |
| 10 | 4251 | 64 |
| 11 | 4707 | 64 |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/4 b)) |
(+.f64 1/2 (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b))) |
(+.f64 1/2 (+.f64 (*.f64 -1/480 (pow.f64 b 5)) (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b)))) |
2 |
(+.f64 2 b) |
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))) |
(+.f64 (*.f64 1/6 (pow.f64 b 3)) (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))) |
| Outputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 -1/4 b)) |
(fma.f64 -1/4 b 1/2) |
(+.f64 1/2 (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b))) |
(+.f64 1/2 (fma.f64 1/48 (pow.f64 b 3) (*.f64 -1/4 b))) |
(+.f64 1/2 (fma.f64 -1/4 b (*.f64 1/48 (pow.f64 b 3)))) |
(fma.f64 1/48 (pow.f64 b 3) (fma.f64 -1/4 b 1/2)) |
(+.f64 1/2 (+.f64 (*.f64 -1/480 (pow.f64 b 5)) (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b)))) |
(+.f64 1/2 (fma.f64 -1/480 (pow.f64 b 5) (fma.f64 1/48 (pow.f64 b 3) (*.f64 -1/4 b)))) |
(+.f64 (fma.f64 -1/480 (pow.f64 b 5) (*.f64 1/48 (pow.f64 b 3))) (fma.f64 -1/4 b 1/2)) |
(fma.f64 -1/480 (pow.f64 b 5) (fma.f64 1/48 (pow.f64 b 3) (fma.f64 -1/4 b 1/2))) |
(fma.f64 1/48 (pow.f64 b 3) (fma.f64 -1/480 (pow.f64 b 5) (fma.f64 -1/4 b 1/2))) |
(fma.f64 -1/4 b (fma.f64 1/48 (pow.f64 b 3) (fma.f64 -1/480 (pow.f64 b 5) 1/2))) |
2 |
(+.f64 2 b) |
(+.f64 b 2) |
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))) |
(+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b)))) |
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b)) |
(fma.f64 b (*.f64 1/2 b) (+.f64 b 2)) |
(fma.f64 (fma.f64 1/2 b 1) b 2) |
(fma.f64 b (fma.f64 1/2 b 1) 2) |
(+.f64 (*.f64 1/6 (pow.f64 b 3)) (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))) |
(fma.f64 1/6 (pow.f64 b 3) (+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b))))) |
(+.f64 (fma.f64 1/2 (*.f64 b b) b) (fma.f64 (pow.f64 b 3) 1/6 2)) |
(fma.f64 (pow.f64 b 3) 1/6 (fma.f64 b (*.f64 1/2 b) (+.f64 b 2))) |
(fma.f64 (pow.f64 b 3) 1/6 (fma.f64 (fma.f64 1/2 b 1) b 2)) |
(fma.f64 b (*.f64 b (fma.f64 b 1/6 1/2)) (+.f64 b 2)) |
(fma.f64 b (fma.f64 b (fma.f64 b 1/6 1/2) 1) 2) |
3 alts after pruning (0 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 73 | 0 | 73 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 73 | 3 | 76 |
| Status | Error | Program |
|---|---|---|
| ✓ | 10.9b | (/.f64 1 (+.f64 1 (exp.f64 b))) |
| ✓ | 1.6b | (exp.f64 (-.f64 a (log1p.f64 (exp.f64 b)))) |
| ✓ | 0.5b | (exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) |
Compiled 812 to 579 computations (28.7% saved)
Total -11.6b remaining (-1738.4%)
Threshold costs -11.6b (-1738.4%)
Compiled 387 to 249 computations (35.7% saved)
| 1× | egg-herbie |
| 3× | +-commutative_binary64 |
| 2× | sub-neg_binary64 |
| 1× | *-commutative_binary64 |
| 1× | neg-sub0_binary64 |
| 1× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 15 |
| 1 | 12 | 15 |
| 2 | 17 | 15 |
| 3 | 19 | 15 |
| 4 | 20 | 15 |
| 1× | saturated |
| Inputs |
|---|
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) |
| Outputs |
|---|
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) |
| 1× | done |
Compiled 43 to 23 computations (46.5% saved)
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