Time bar (total: 5.5s)
| 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 |
Compiled 11 to 7 computations (36.4% saved)
| 1.1s | 8256× | body | 256 | valid |
| 25.0ms | 210× | body | 256 | 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 12 to 8 computations (33.3% 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))) |
Compiled 10 to 6 computations (40% saved)
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 10 to 6 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))) |
Compiled 21 to 6 computations (71.4% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | b | @ | 0 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 2.0ms | a | @ | 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 | b | @ | -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× | batch-egg-rewrite |
| 854× | pow1_binary64 |
| 793× | add-log-exp_binary64 |
| 793× | log1p-expm1-u_binary64 |
| 793× | expm1-log1p-u_binary64 |
| 774× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 21 |
| 1 | 147 | 21 |
| 2 | 2122 | 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 (+.f64 1 (/.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 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (*.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 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) 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 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (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 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (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 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) 2) (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 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 expm1.f64 (log1p.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(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 exp.f64 (-.f64 a (log.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))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (exp.f64 a) 2) (-.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 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (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 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))) (+.f64 (pow.f64 (exp.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 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (+.f64 (pow.f64 (exp.f64 b) 2) (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (neg.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (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) (pow.f64 (exp.f64 a) 2)) (-.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 cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3))))) (#(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 log1p.f64 (expm1.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 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 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (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 |
| 763× | distribute-rgt-in_binary64 |
| 740× | distribute-lft-in_binary64 |
| 578× | cancel-sign-sub-inv_binary64 |
| 396× | fma-def_binary64 |
| 396× | fma-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 90 | 686 |
| 1 | 273 | 662 |
| 2 | 875 | 638 |
| 3 | 3997 | 617 |
| 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 (+.f64 1 a) (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.f64 (neg.f64 a) (pow.f64 (+.f64 1 (exp.f64 b)) 2))) |
(+.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))))) |
(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))))) (+.f64 (*.f64 (+.f64 1 a) (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.f64 (neg.f64 a) (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) |
(+.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 1/6 (+.f64 1 (exp.f64 b))) (-.f64 (/.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 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (-.f64 (/.f64 1/6 (+.f64 1 (exp.f64 b))) (+.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 a (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (fma.f64 (+.f64 (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (-.f64 (-.f64 (/.f64 1/6 (+.f64 1 (exp.f64 b))) (/.f64 2/3 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (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 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4))))) (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))))) (/.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)) (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) -1/2 (+.f64 (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (/.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))))) (+.f64 (*.f64 (+.f64 1 a) (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.f64 (neg.f64 a) (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) |
(/.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 (/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a))) 1) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))) |
(+.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)))))) |
(fma.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 (/.f64 -1 (+.f64 1 (exp.f64 a))) 1/2)) (*.f64 b (neg.f64 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 (+.f64 (/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a))) 1) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))) (*.f64 b (*.f64 b (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 (/.f64 -1 (+.f64 1 (exp.f64 a))) 1/2))))) |
(+.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 (/.f64 -1/2 (+.f64 1 (exp.f64 a))) 1/6)) (/.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 (/.f64 -1 (+.f64 1 (exp.f64 a))) 1/2)) (+.f64 1 (exp.f64 a))))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 (/.f64 -1 (+.f64 1 (exp.f64 a))) 1/2))))) |
(+.f64 (*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a))) 1) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))) (*.f64 (*.f64 b b) (-.f64 (*.f64 b (-.f64 (/.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 (/.f64 -1 (+.f64 1 (exp.f64 a))) 1/2)) (+.f64 1 (exp.f64 a))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 (/.f64 -1/2 (+.f64 1 (exp.f64 a))) 1/6)))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 (/.f64 -1 (+.f64 1 (exp.f64 a))) 1/2))))) |
(+.f64 1 (exp.f64 b)) |
(+.f64 1 (+.f64 a (exp.f64 b))) |
(+.f64 (+.f64 1 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 (+.f64 1 a) (exp.f64 b))) |
(+.f64 (+.f64 (exp.f64 b) a) (fma.f64 1/2 (*.f64 a a) 1)) |
(+.f64 a (+.f64 (exp.f64 b) (fma.f64 1/2 (*.f64 a a) 1))) |
(+.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 (exp.f64 b) (+.f64 (fma.f64 1/2 (*.f64 a a) 1) (fma.f64 1/6 (pow.f64 a 3) a))) |
(+.f64 a (+.f64 (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)) (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 b (fma.f64 1/2 (*.f64 b b) 1))) |
(+.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 (fma.f64 1/6 (pow.f64 b 3) 1) (fma.f64 1/2 (*.f64 b b) b)) (exp.f64 a)) |
(+.f64 b (+.f64 (fma.f64 b (*.f64 b 1/2) (exp.f64 a)) (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))) |
Compiled 1902 to 915 computations (51.9% saved)
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 86 | 8 | 94 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 86 | 9 | 95 |
| Status | Error | Program |
|---|---|---|
| 1.6b | (/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 b) a))) | |
| ▶ | 12.3b | (/.f64 1 (+.f64 1 (exp.f64 b))) |
| 1.4b | (/.f64 (exp.f64 a) (+.f64 1 (fma.f64 a (*.f64 a 1/2) (+.f64 (exp.f64 b) a)))) | |
| ▶ | 1.9b | (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 b))) |
| ▶ | 1.3b | (-.f64 (+.f64 1 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 1) |
| ✓ | 1.0b | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| ▶ | 21.9b | (*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a))) 1) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))) |
| ▶ | 22.0b | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 1 b))) |
| 20.8b | (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) |
Compiled 204 to 144 computations (29.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (+.f64 (exp.f64 a) (exp.f64 b)) | |
| ✓ | 0.0b | (+.f64 1 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) |
| ✓ | 0.3b | (-.f64 (+.f64 1 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 1) |
| 1.0b | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
Compiled 44 to 13 computations (70.5% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | b | @ | 0 | (+.f64 1 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) |
| 1.0ms | a | @ | 0 | (+.f64 1 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) |
| 1.0ms | a | @ | 0 | (-.f64 (+.f64 1 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 1) |
| 0.0ms | b | @ | 0 | (-.f64 (+.f64 1 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 1) |
| 0.0ms | a | @ | inf | (+.f64 1 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) |
| 1× | batch-egg-rewrite |
| 940× | prod-diff_binary64 |
| 543× | fma-def_binary64 |
| 484× | log-prod_binary64 |
| 257× | fma-neg_binary64 |
| 182× | expm1-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 35 |
| 1 | 222 | 29 |
| 2 | 3330 | 29 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 1 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 1) |
(+.f64 1 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 835× | fma-neg_binary64 |
| 758× | distribute-rgt-in_binary64 |
| 422× | fma-def_binary64 |
| 265× | associate-+l+_binary64 |
| 261× | sub-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 96 | 1374 |
| 1 | 311 | 1340 |
| 2 | 951 | 1292 |
| 3 | 4610 | 1248 |
| 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 (exp.f64 a) (exp.f64 b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (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 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) |
(+.f64 1 (+.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 1 (+.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 1 (+.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 (exp.f64 a) (+.f64 1 (exp.f64 a))) 1) |
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (+.f64 1 (*.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))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 b 2) (+.f64 (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))))) (+.f64 1 (*.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))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 b 2) (+.f64 (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (+.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))))))) |
| 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 (+.f64 a 1) (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.f64 (neg.f64 a) (pow.f64 (+.f64 1 (exp.f64 b)) 2))) |
(+.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 (+.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) (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 (+.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 (*.f64 (+.f64 a 1) (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.f64 (neg.f64 a) (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) |
(+.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 1/6 (+.f64 1 (exp.f64 b))) (-.f64 (-.f64 (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (/.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 a (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (fma.f64 (+.f64 (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (-.f64 (-.f64 (/.f64 1/6 (+.f64 1 (exp.f64 b))) (/.f64 2/3 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (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 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4))))) (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))))) (/.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 (+.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 (*.f64 (+.f64 a 1) (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.f64 (neg.f64 a) (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) |
(/.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 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) |
(-.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 (/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a))) 1) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))) |
(+.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 (*.f64 b b) (fma.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (neg.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))))) (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (neg.f64 (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) |
(-.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 (*.f64 b 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 (exp.f64 a) (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 b (*.f64 b (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 (/.f64 -1 (+.f64 1 (exp.f64 a))) 1/2)))) (*.f64 b (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) |
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (*.f64 b b)) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 (*.f64 (*.f64 b b) -1/2) (neg.f64 b))))) |
(+.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)))))) |
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(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (-.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) b)) (*.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 b 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 (exp.f64 a) (+.f64 1 (exp.f64 a))) (-.f64 (-.f64 1 (*.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 (/.f64 -1/2 (+.f64 1 (exp.f64 a))) 1/6)) (/.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 (/.f64 -1 (+.f64 1 (exp.f64 a))) 1/2)) (+.f64 1 (exp.f64 a))))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 (/.f64 -1 (+.f64 1 (exp.f64 a))) 1/2)))))) |
(-.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a))) 1) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))))) (*.f64 (*.f64 b b) (+.f64 (*.f64 b (fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 (/.f64 -1/2 (+.f64 1 (exp.f64 a))) 1/6) (/.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (neg.f64 (+.f64 (/.f64 -1 (+.f64 1 (exp.f64 a))) 1/2))) (+.f64 1 (exp.f64 a))))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 (/.f64 -1 (+.f64 1 (exp.f64 a))) 1/2))))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 1 (exp.f64 b)) |
Compiled 16 to 10 computations (37.5% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | b | @ | 0 | (+.f64 1 (exp.f64 b)) |
| 0.0ms | b | @ | -inf | (+.f64 1 (exp.f64 b)) |
| 0.0ms | b | @ | inf | (+.f64 1 (exp.f64 b)) |
| 1× | batch-egg-rewrite |
| 475× | pow1_binary64 |
| 463× | add-sqr-sqrt_binary64 |
| 455× | *-un-lft-identity_binary64 |
| 442× | add-log-exp_binary64 |
| 442× | log1p-expm1-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 6 |
| 1 | 98 | 6 |
| 2 | 1206 | 6 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 1 (exp.f64 b)) |
| Outputs |
|---|
((#(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 (-.f64 1 (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 b) 2) (-.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 (sqrt.f64 (+.f64 1 (exp.f64 b))) (sqrt.f64 (+.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (/.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 (pow.f64 (exp.f64 b) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (exp.f64 b)) (-.f64 1 (pow.f64 (exp.f64 b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (+.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.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 (pow.f64 (exp.f64 b) 2))) (neg.f64 (-.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 b) 2) 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 (sqrt.f64 (+.f64 1 (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 cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.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 (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (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 |
| 638× | distribute-rgt-in_binary64 |
| 588× | distribute-lft-in_binary64 |
| 536× | unswap-sqr_binary64 |
| 461× | associate-*l*_binary64 |
| 396× | fma-def_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 38 |
| 1 | 36 | 34 |
| 2 | 90 | 34 |
| 3 | 259 | 30 |
| 4 | 646 | 29 |
| 5 | 2185 | 29 |
| 6 | 3846 | 29 |
| 7 | 4080 | 29 |
| 8 | 4384 | 29 |
| 9 | 4951 | 29 |
| 10 | 5957 | 29 |
| 11 | 7890 | 29 |
| 1× | node limit |
| Inputs |
|---|
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 |
|---|
2 |
(+.f64 2 b) |
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))) |
(+.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b))) |
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b)) |
(fma.f64 (fma.f64 b 1/2 1) b 2) |
(fma.f64 b (fma.f64 b 1/2 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 (+.f64 2 b) (*.f64 1/2 (*.f64 b b)))) |
(+.f64 (fma.f64 1/2 (*.f64 b b) b) (fma.f64 1/6 (pow.f64 b 3) 2)) |
(+.f64 2 (fma.f64 1/6 (pow.f64 b 3) (fma.f64 1/2 (*.f64 b b) b))) |
(fma.f64 1/6 (pow.f64 b 3) (fma.f64 (fma.f64 b 1/2 1) b 2)) |
(+.f64 b (fma.f64 (*.f64 b b) (fma.f64 b 1/6 1/2) 2)) |
(+.f64 2 (fma.f64 (*.f64 b b) (fma.f64 b 1/6 1/2) b)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (+.f64 1 (exp.f64 b)) | |
| ✓ | 0.2b | (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 b))) |
Compiled 20 to 10 computations (50% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | a | @ | inf | (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 b))) |
| 1.0ms | a | @ | -inf | (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 b))) |
| 1.0ms | b | @ | 0 | (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 b))) |
| 1.0ms | b | @ | -inf | (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 b))) |
| 1.0ms | a | @ | 0 | (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 b))) |
| 1× | batch-egg-rewrite |
| 832× | pow1_binary64 |
| 770× | add-log-exp_binary64 |
| 770× | log1p-expm1-u_binary64 |
| 770× | expm1-log1p-u_binary64 |
| 753× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 11 |
| 1 | 159 | 10 |
| 2 | 2079 | 10 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 b))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 b))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 a) (/.f64 1 (+.f64 1 (exp.f64 b))))))) (#(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 (-.f64 a (log1p.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 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (*.f64 (cbrt.f64 (exp.f64 a)) (/.f64 1 (+.f64 1 (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 (sqrt.f64 (exp.f64 a)) (*.f64 (sqrt.f64 (exp.f64 a)) (/.f64 1 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (exp.f64 a)) (/.f64 1 (+.f64 (neg.f64 (exp.f64 b)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (exp.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) 1) (/.f64 (cbrt.f64 (exp.f64 a)) (+.f64 1 (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 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2)) (/.f64 (exp.f64 a) (cbrt.f64 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2)) (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2)) (/.f64 (sqrt.f64 (exp.f64 a)) (cbrt.f64 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 b)))) (/.f64 (exp.f64 a) (hypot.f64 1 (sqrt.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (hypot.f64 1 (sqrt.f64 (exp.f64 b)))) (/.f64 (cbrt.f64 (exp.f64 a)) (hypot.f64 1 (sqrt.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 a) (+.f64 1 (pow.f64 (exp.f64 b) 3))) (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 a) (-.f64 1 (pow.f64 (exp.f64 b) 2))) (-.f64 1 (exp.f64 b)))))) (#(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 (-.f64 (log1p.f64 (exp.f64 b)) a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (exp.f64 a) (+.f64 (neg.f64 (exp.f64 b)) -1)))))) (#(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 cbrt.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 b)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 1 (exp.f64 b)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 b))))))))) (#(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 exp.f64 (-.f64 a (log1p.f64 (exp.f64 b)))))))) |
| 1× | egg-herbie |
| 555× | associate-*l*_binary64 |
| 489× | associate-*r*_binary64 |
| 402× | cancel-sign-sub-inv_binary64 |
| 315× | fma-neg_binary64 |
| 288× | associate-+l+_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 210 |
| 1 | 140 | 193 |
| 2 | 445 | 170 |
| 3 | 1893 | 168 |
| 4 | 6699 | 168 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (+.f64 1 (exp.f64 b))) |
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (/.f64 1 (+.f64 1 (exp.f64 b)))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (+.f64 1 (exp.f64 b)))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (/.f64 1 (+.f64 1 (exp.f64 b))))) |
(+.f64 (*.f64 1/6 (/.f64 (pow.f64 a 3) (+.f64 1 (exp.f64 b)))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (+.f64 1 (exp.f64 b)))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (/.f64 1 (+.f64 1 (exp.f64 b)))))) |
(*.f64 1/2 (exp.f64 a)) |
(+.f64 (*.f64 -1/4 (*.f64 (exp.f64 a) b)) (*.f64 1/2 (exp.f64 a))) |
(+.f64 (*.f64 -1/4 (*.f64 (exp.f64 a) b)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/8 (exp.f64 a)) (*.f64 1/8 (exp.f64 a))) (pow.f64 b 2))) (*.f64 1/2 (exp.f64 a)))) |
(+.f64 (*.f64 -1/4 (*.f64 (exp.f64 a) b)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/16 (exp.f64 a)) (+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1/8 (exp.f64 a)) (*.f64 1/8 (exp.f64 a)))) (*.f64 1/24 (exp.f64 a)))) (pow.f64 b 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/8 (exp.f64 a)) (*.f64 1/8 (exp.f64 a))) (pow.f64 b 2))) (*.f64 1/2 (exp.f64 a))))) |
| Outputs |
|---|
(/.f64 1 (+.f64 1 (exp.f64 b))) |
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (/.f64 1 (+.f64 1 (exp.f64 b)))) |
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 a (+.f64 1 (exp.f64 b)))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (+.f64 1 (exp.f64 b)))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (/.f64 1 (+.f64 1 (exp.f64 b))))) |
(fma.f64 1/2 (/.f64 (*.f64 a a) (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 a (+.f64 1 (exp.f64 b))))) |
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (fma.f64 1/2 (/.f64 (*.f64 a a) (+.f64 1 (exp.f64 b))) (/.f64 a (+.f64 1 (exp.f64 b))))) |
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (fma.f64 1/2 (/.f64 (*.f64 a a) (+.f64 1 (exp.f64 b))) (/.f64 1 (+.f64 1 (exp.f64 b))))) |
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (fma.f64 1/2 (/.f64 a (/.f64 (+.f64 1 (exp.f64 b)) a)) (/.f64 1 (+.f64 1 (exp.f64 b))))) |
(+.f64 (*.f64 1/6 (/.f64 (pow.f64 a 3) (+.f64 1 (exp.f64 b)))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (+.f64 1 (exp.f64 b)))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (/.f64 1 (+.f64 1 (exp.f64 b)))))) |
(fma.f64 1/6 (/.f64 (pow.f64 a 3) (+.f64 1 (exp.f64 b))) (fma.f64 1/2 (/.f64 (*.f64 a a) (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 a (+.f64 1 (exp.f64 b)))))) |
(fma.f64 1/6 (/.f64 (pow.f64 a 3) (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (fma.f64 1/2 (/.f64 (*.f64 a a) (+.f64 1 (exp.f64 b))) (/.f64 a (+.f64 1 (exp.f64 b)))))) |
(fma.f64 1/2 (/.f64 (*.f64 a a) (+.f64 1 (exp.f64 b))) (fma.f64 1/6 (/.f64 (pow.f64 a 3) (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 a (+.f64 1 (exp.f64 b)))))) |
(fma.f64 1/2 (/.f64 a (/.f64 (+.f64 1 (exp.f64 b)) a)) (fma.f64 1/6 (/.f64 (pow.f64 a 3) (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 a (+.f64 1 (exp.f64 b)))))) |
(*.f64 1/2 (exp.f64 a)) |
(+.f64 (*.f64 -1/4 (*.f64 (exp.f64 a) b)) (*.f64 1/2 (exp.f64 a))) |
(fma.f64 -1/4 (*.f64 b (exp.f64 a)) (*.f64 1/2 (exp.f64 a))) |
(fma.f64 1/2 (exp.f64 a) (*.f64 (exp.f64 a) (*.f64 b -1/4))) |
(*.f64 (exp.f64 a) (+.f64 1/2 (*.f64 b -1/4))) |
(+.f64 (*.f64 -1/4 (*.f64 (exp.f64 a) b)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/8 (exp.f64 a)) (*.f64 1/8 (exp.f64 a))) (pow.f64 b 2))) (*.f64 1/2 (exp.f64 a)))) |
(fma.f64 -1/4 (*.f64 b (exp.f64 a)) (*.f64 1/2 (exp.f64 a))) |
(fma.f64 1/2 (exp.f64 a) (*.f64 (exp.f64 a) (*.f64 b -1/4))) |
(*.f64 (exp.f64 a) (+.f64 1/2 (*.f64 b -1/4))) |
(+.f64 (*.f64 -1/4 (*.f64 (exp.f64 a) b)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/16 (exp.f64 a)) (+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1/8 (exp.f64 a)) (*.f64 1/8 (exp.f64 a)))) (*.f64 1/24 (exp.f64 a)))) (pow.f64 b 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/8 (exp.f64 a)) (*.f64 1/8 (exp.f64 a))) (pow.f64 b 2))) (*.f64 1/2 (exp.f64 a))))) |
(fma.f64 -1/4 (*.f64 b (exp.f64 a)) (fma.f64 -1 (*.f64 (fma.f64 -1/16 (exp.f64 a) (fma.f64 -1/2 (*.f64 (exp.f64 a) 0) (*.f64 (exp.f64 a) 1/24))) (pow.f64 b 3)) (fma.f64 -1 (*.f64 (*.f64 (exp.f64 a) 0) (*.f64 b b)) (*.f64 1/2 (exp.f64 a))))) |
(fma.f64 -1/4 (*.f64 b (exp.f64 a)) (-.f64 (fma.f64 1/2 (exp.f64 a) (*.f64 0 (*.f64 b b))) (*.f64 (fma.f64 (exp.f64 a) -1/16 (fma.f64 (exp.f64 a) 1/24 0)) (pow.f64 b 3)))) |
(-.f64 (*.f64 (exp.f64 a) (+.f64 1/2 (*.f64 b -1/4))) (*.f64 (*.f64 (exp.f64 a) -1/48) (pow.f64 b 3))) |
(fma.f64 (exp.f64 a) (+.f64 1/2 (*.f64 b -1/4)) (*.f64 (pow.f64 b 3) (*.f64 (exp.f64 a) 1/48))) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (exp.f64 a) (+.f64 1 b)) |
| ✓ | 0.5b | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 1 b))) |
Compiled 25 to 13 computations (48% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | a | @ | -inf | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 1 b))) |
| 1.0ms | a | @ | 0 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 1 b))) |
| 1.0ms | b | @ | inf | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 1 b))) |
| 1.0ms | a | @ | inf | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 1 b))) |
| 1.0ms | b | @ | 0 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 1 b))) |
| 1× | batch-egg-rewrite |
| 652× | prod-diff_binary64 |
| 633× | unpow-prod-down_binary64 |
| 419× | log-prod_binary64 |
| 351× | fma-def_binary64 |
| 236× | pow2_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 23 |
| 1 | 175 | 23 |
| 2 | 2586 | 22 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 1 b))) |
(+.f64 (exp.f64 a) (+.f64 1 b)) |
| Outputs |
|---|
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(exp.f64 (-.f64 a (log1p.f64 (+.f64 b (exp.f64 a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (+.f64 b (exp.f64 a))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 (exp.f64 a) (+.f64 1 b)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (-.f64 a (log1p.f64 (+.f64 b (exp.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (-.f64 a (log1p.f64 (+.f64 b (exp.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 a (log1p.f64 (+.f64 b (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 a (log1p.f64 (+.f64 b (exp.f64 a)))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (exp.f64 a) 2) (-.f64 (expm1.f64 a) b)) (/.f64 (pow.f64 (+.f64 1 b) 2) (-.f64 (expm1.f64 a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (exp.f64 a) (+.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (exp.f64 a) (+.f64 1 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (exp.f64 a) (+.f64 1 b))) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (+.f64 1 b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (+.f64 1 b)) 2)) (cbrt.f64 (+.f64 (exp.f64 a) (+.f64 1 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (exp.f64 a) (+.f64 1 b))) (sqrt.f64 (+.f64 (exp.f64 a) (+.f64 1 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 1 b) 3)) (/.f64 1 (fma.f64 (+.f64 1 b) (-.f64 (+.f64 1 b) (exp.f64 a)) (pow.f64 (exp.f64 a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 1 b) 3)) (pow.f64 (/.f64 1 (fma.f64 (+.f64 1 b) (-.f64 (+.f64 1 b) (exp.f64 a)) (pow.f64 (exp.f64 a) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (+.f64 1 b) 2)) (/.f64 1 (-.f64 (expm1.f64 a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (+.f64 1 b) 2)) (pow.f64 (/.f64 1 (-.f64 (expm1.f64 a) b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (+.f64 (exp.f64 a) (+.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (exp.f64 a) (+.f64 1 b)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (exp.f64 a) (+.f64 1 b)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (exp.f64 a) (+.f64 1 b)) 2) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (+.f64 1 b)) 2))) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (exp.f64 a) (+.f64 1 b)) 2) (sqrt.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))) 2) 3) (cbrt.f64 (+.f64 (exp.f64 a) (+.f64 1 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (+.f64 1 b) (-.f64 (+.f64 1 b) (exp.f64 a)) (pow.f64 (exp.f64 a) 2)) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 1 b) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (expm1.f64 a) b) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (+.f64 1 b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 1 b) 3)) (fma.f64 (+.f64 1 b) (-.f64 (+.f64 1 b) (exp.f64 a)) (pow.f64 (exp.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 1 b) 3)) (+.f64 (pow.f64 (+.f64 1 b) 2) (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 (+.f64 a (log1p.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (+.f64 1 b) 2)) (-.f64 (expm1.f64 a) b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 1 b) 3))) (neg.f64 (fma.f64 (+.f64 1 b) (-.f64 (+.f64 1 b) (exp.f64 a)) (pow.f64 (exp.f64 a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (+.f64 1 b) 2))) (neg.f64 (-.f64 (expm1.f64 a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 3) (pow.f64 b 3)) (+.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2) (-.f64 (*.f64 b b) (*.f64 (+.f64 (exp.f64 a) 1) b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 b) 2) (pow.f64 (exp.f64 a) 2)) (-.f64 (+.f64 1 b) (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2) (*.f64 b b)) (-.f64 (+.f64 (exp.f64 a) 1) b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (exp.f64 a) (+.f64 1 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (exp.f64 a) (+.f64 1 b)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (exp.f64 a) (+.f64 1 b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (+.f64 1 b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (+.f64 1 b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (+.f64 1 b) (-.f64 (+.f64 1 b) (exp.f64 a)) (pow.f64 (exp.f64 a) 2)) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 1 b) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (expm1.f64 a) b) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (+.f64 1 b) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (exp.f64 a) (+.f64 1 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (exp.f64 a) (+.f64 1 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (exp.f64 a))) (exp.f64 (+.f64 1 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (exp.f64 a)) (+.f64 1 (expm1.f64 (+.f64 1 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (exp.f64 a))) (+.f64 1 (expm1.f64 (+.f64 1 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 b) (exp.f64 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 b)) (exp.f64 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 1 b))) (exp.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (+.f64 1 b)) (+.f64 1 (expm1.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 1 b))) (+.f64 1 (expm1.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (+.f64 (exp.f64 a) 1)) (+.f64 1 (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (+.f64 1 b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) (+.f64 1 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (exp.f64 a) (+.f64 1 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (+.f64 b (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (exp.f64 a) 1 (+.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 a) (+.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 b (+.f64 (exp.f64 a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 b) (exp.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (exp.f64 a) 1) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b 1 (+.f64 (exp.f64 a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 b) 1 (exp.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 b) (pow.f64 (cbrt.f64 b) 2) (+.f64 (exp.f64 a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (+.f64 (exp.f64 a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1 b)) (pow.f64 (cbrt.f64 (+.f64 1 b)) 2) (exp.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 b)) 2) (cbrt.f64 (+.f64 1 b)) (exp.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (+.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (cbrt.f64 (exp.f64 a)) (+.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b) (sqrt.f64 b) (+.f64 (exp.f64 a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 b)) (sqrt.f64 (+.f64 1 b)) (exp.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) (+.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 b 3)) (/.f64 1 (fma.f64 b (-.f64 b 1) 1)) (exp.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (*.f64 b b)) (/.f64 1 (-.f64 1 b)) (exp.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (exp.f64 a) 1) 1 b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2) (cbrt.f64 (+.f64 (exp.f64 a) 1)) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)) (sqrt.f64 (+.f64 (exp.f64 a) 1)) b))))) |
| 1× | egg-herbie |
| 870× | fma-neg_binary64 |
| 746× | distribute-rgt-in_binary64 |
| 334× | fma-def_binary64 |
| 288× | times-frac_binary64 |
| 215× | distribute-rgt-neg-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 91 | 1052 |
| 1 | 272 | 1022 |
| 2 | 882 | 986 |
| 3 | 4273 | 934 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (+.f64 2 b)) |
(+.f64 (/.f64 1 (+.f64 2 b)) (*.f64 a (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 1 (pow.f64 (+.f64 2 b) 2))))) |
(+.f64 (*.f64 (pow.f64 a 2) (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 b) 3)) (*.f64 1/2 (/.f64 1 (+.f64 2 b)))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 2 b) 2))))) (+.f64 (/.f64 1 (+.f64 2 b)) (*.f64 a (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 1 (pow.f64 (+.f64 2 b) 2)))))) |
(+.f64 (*.f64 (pow.f64 a 2) (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 b) 3)) (*.f64 1/2 (/.f64 1 (+.f64 2 b)))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 2 b) 2))))) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/6 (/.f64 1 (+.f64 2 b))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 2 b) 3)))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 1 (pow.f64 (+.f64 2 b) 2))) (+.f64 2 b))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 b) 4)) (*.f64 2/3 (/.f64 1 (pow.f64 (+.f64 2 b) 2)))))) (pow.f64 a 3)) (+.f64 (/.f64 1 (+.f64 2 b)) (*.f64 a (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 1 (pow.f64 (+.f64 2 b) 2))))))) |
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 a) b))) |
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 a) b))) |
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 a) b))) |
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 a) b))) |
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 a) b))) |
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 a) b))) |
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 a) b))) |
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 a) 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))) (+.f64 (/.f64 (*.f64 (exp.f64 a) (pow.f64 b 2)) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (*.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))) (+.f64 (/.f64 (*.f64 (exp.f64 a) (pow.f64 b 2)) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) (pow.f64 b 3)) (pow.f64 (+.f64 1 (exp.f64 a)) 4)))))) |
(/.f64 (exp.f64 a) b) |
(+.f64 (/.f64 (exp.f64 a) b) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (exp.f64 a)) (exp.f64 a)) (pow.f64 b 2)))) |
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (exp.f64 a)) (pow.f64 b 3)) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (exp.f64 a)) (exp.f64 a)) (pow.f64 b 2))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (exp.f64 a)) (pow.f64 b 4))) (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (exp.f64 a)) (pow.f64 b 3)) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (exp.f64 a)) (exp.f64 a)) (pow.f64 b 2)))))) |
(/.f64 (exp.f64 a) b) |
(+.f64 (/.f64 (exp.f64 a) b) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (exp.f64 a)) (exp.f64 a)) (pow.f64 b 2)))) |
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (exp.f64 a)) (pow.f64 b 3)) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (exp.f64 a)) (exp.f64 a)) (pow.f64 b 2))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (exp.f64 a)) (pow.f64 b 4))) (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (exp.f64 a)) (pow.f64 b 3)) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (exp.f64 a)) (exp.f64 a)) (pow.f64 b 2)))))) |
(+.f64 2 b) |
(+.f64 2 (+.f64 a b)) |
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a b))) |
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (+.f64 (*.f64 1/6 (pow.f64 a 3)) b)))) |
(+.f64 1 (+.f64 (exp.f64 a) b)) |
(+.f64 1 (+.f64 (exp.f64 a) b)) |
(+.f64 1 (+.f64 (exp.f64 a) b)) |
(+.f64 1 (+.f64 (exp.f64 a) b)) |
(+.f64 1 (+.f64 (exp.f64 a) b)) |
(+.f64 1 (+.f64 (exp.f64 a) b)) |
(+.f64 1 (+.f64 (exp.f64 a) b)) |
(+.f64 1 (+.f64 (exp.f64 a) b)) |
(+.f64 1 (exp.f64 a)) |
(+.f64 1 (+.f64 (exp.f64 a) b)) |
(+.f64 1 (+.f64 (exp.f64 a) b)) |
(+.f64 1 (+.f64 (exp.f64 a) b)) |
b |
(+.f64 1 (+.f64 (exp.f64 a) b)) |
(+.f64 1 (+.f64 (exp.f64 a) b)) |
(+.f64 1 (+.f64 (exp.f64 a) b)) |
b |
(+.f64 1 (+.f64 (exp.f64 a) b)) |
(+.f64 1 (+.f64 (exp.f64 a) b)) |
(+.f64 1 (+.f64 (exp.f64 a) b)) |
| Outputs |
|---|
(/.f64 1 (+.f64 2 b)) |
(+.f64 (/.f64 1 (+.f64 2 b)) (*.f64 a (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 1 (pow.f64 (+.f64 2 b) 2))))) |
(fma.f64 a (+.f64 (/.f64 1 (+.f64 2 b)) (/.f64 -1 (pow.f64 (+.f64 2 b) 2))) (/.f64 1 (+.f64 2 b))) |
(+.f64 (*.f64 (+.f64 a 1) (/.f64 1 (+.f64 2 b))) (/.f64 (neg.f64 a) (pow.f64 (+.f64 2 b) 2))) |
(+.f64 (*.f64 (pow.f64 a 2) (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 b) 3)) (*.f64 1/2 (/.f64 1 (+.f64 2 b)))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 2 b) 2))))) (+.f64 (/.f64 1 (+.f64 2 b)) (*.f64 a (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 1 (pow.f64 (+.f64 2 b) 2)))))) |
(fma.f64 (*.f64 a a) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 b) 3)) (-.f64 (/.f64 1/2 (+.f64 2 b)) (/.f64 3/2 (pow.f64 (+.f64 2 b) 2)))) (+.f64 (/.f64 1 (+.f64 2 b)) (*.f64 a (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 1 (pow.f64 (+.f64 2 b) 2)))))) |
(fma.f64 (*.f64 a a) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 b) 3)) (-.f64 (/.f64 1/2 (+.f64 2 b)) (/.f64 3/2 (pow.f64 (+.f64 2 b) 2)))) (fma.f64 a (+.f64 (/.f64 1 (+.f64 2 b)) (/.f64 -1 (pow.f64 (+.f64 2 b) 2))) (/.f64 1 (+.f64 2 b)))) |
(fma.f64 a (+.f64 (/.f64 1 (+.f64 2 b)) (/.f64 -1 (pow.f64 (+.f64 2 b) 2))) (fma.f64 (*.f64 a a) (+.f64 (/.f64 1/2 (+.f64 2 b)) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 b) 3)) (/.f64 -3/2 (pow.f64 (+.f64 2 b) 2)))) (/.f64 1 (+.f64 2 b)))) |
(fma.f64 a (*.f64 a (+.f64 (/.f64 1/2 (+.f64 2 b)) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 b) 3)) (/.f64 -3/2 (pow.f64 (+.f64 2 b) 2))))) (+.f64 (*.f64 (+.f64 a 1) (/.f64 1 (+.f64 2 b))) (/.f64 (neg.f64 a) (pow.f64 (+.f64 2 b) 2)))) |
(+.f64 (*.f64 (pow.f64 a 2) (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 b) 3)) (*.f64 1/2 (/.f64 1 (+.f64 2 b)))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 2 b) 2))))) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/6 (/.f64 1 (+.f64 2 b))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 2 b) 3)))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 1 (pow.f64 (+.f64 2 b) 2))) (+.f64 2 b))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 b) 4)) (*.f64 2/3 (/.f64 1 (pow.f64 (+.f64 2 b) 2)))))) (pow.f64 a 3)) (+.f64 (/.f64 1 (+.f64 2 b)) (*.f64 a (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 1 (pow.f64 (+.f64 2 b) 2))))))) |
(fma.f64 (*.f64 a a) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 b) 3)) (-.f64 (/.f64 1/2 (+.f64 2 b)) (/.f64 3/2 (pow.f64 (+.f64 2 b) 2)))) (fma.f64 (-.f64 (+.f64 (/.f64 1/6 (+.f64 2 b)) (/.f64 3/2 (pow.f64 (+.f64 2 b) 3))) (fma.f64 1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 1 (pow.f64 (+.f64 2 b) 2))) (+.f64 2 b)) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 b) 4)) (/.f64 2/3 (pow.f64 (+.f64 2 b) 2))))) (pow.f64 a 3) (+.f64 (/.f64 1 (+.f64 2 b)) (*.f64 a (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 1 (pow.f64 (+.f64 2 b) 2))))))) |
(fma.f64 (*.f64 a a) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 b) 3)) (-.f64 (/.f64 1/2 (+.f64 2 b)) (/.f64 3/2 (pow.f64 (+.f64 2 b) 2)))) (fma.f64 (-.f64 (+.f64 (/.f64 1/6 (+.f64 2 b)) (/.f64 3/2 (pow.f64 (+.f64 2 b) 3))) (fma.f64 1/2 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 b) 2)) (/.f64 1 (pow.f64 (+.f64 2 b) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 b) 4)) (/.f64 2/3 (pow.f64 (+.f64 2 b) 2))))) (pow.f64 a 3) (fma.f64 a (+.f64 (/.f64 1 (+.f64 2 b)) (/.f64 -1 (pow.f64 (+.f64 2 b) 2))) (/.f64 1 (+.f64 2 b))))) |
(fma.f64 (+.f64 (/.f64 1/6 (+.f64 2 b)) (-.f64 (-.f64 (/.f64 3/2 (pow.f64 (+.f64 2 b) 3)) (/.f64 1 (pow.f64 (+.f64 2 b) 4))) (fma.f64 1/2 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 b) 2)) (/.f64 -1 (pow.f64 (+.f64 2 b) 3))) (/.f64 2/3 (pow.f64 (+.f64 2 b) 2))))) (pow.f64 a 3) (fma.f64 a (+.f64 (/.f64 1 (+.f64 2 b)) (/.f64 -1 (pow.f64 (+.f64 2 b) 2))) (fma.f64 (*.f64 a a) (+.f64 (/.f64 1/2 (+.f64 2 b)) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 b) 3)) (/.f64 -3/2 (pow.f64 (+.f64 2 b) 2)))) (/.f64 1 (+.f64 2 b))))) |
(fma.f64 a (*.f64 a (+.f64 (/.f64 1/2 (+.f64 2 b)) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 b) 3)) (/.f64 -3/2 (pow.f64 (+.f64 2 b) 2))))) (fma.f64 (+.f64 (/.f64 3/2 (pow.f64 (+.f64 2 b) 3)) (+.f64 (/.f64 1/6 (+.f64 2 b)) (+.f64 (fma.f64 1/2 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 b) 3)) (/.f64 -1 (pow.f64 (+.f64 2 b) 2))) (/.f64 -1 (pow.f64 (+.f64 2 b) 4))) (/.f64 -2/3 (pow.f64 (+.f64 2 b) 2))))) (pow.f64 a 3) (+.f64 (*.f64 (+.f64 a 1) (/.f64 1 (+.f64 2 b))) (/.f64 (neg.f64 a) (pow.f64 (+.f64 2 b) 2))))) |
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 a) b))) |
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 b (exp.f64 a)))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 1 b))) |
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 a) b))) |
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 b (exp.f64 a)))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 1 b))) |
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 a) b))) |
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 b (exp.f64 a)))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 1 b))) |
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 a) b))) |
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 b (exp.f64 a)))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 1 b))) |
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 a) b))) |
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 b (exp.f64 a)))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 1 b))) |
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 a) b))) |
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 b (exp.f64 a)))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 1 b))) |
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 a) b))) |
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 b (exp.f64 a)))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 1 b))) |
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 a) b))) |
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 b (exp.f64 a)))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 1 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 (/.f64 b (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (exp.f64 a))) |
(*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a))) 1) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))) |
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (+.f64 (/.f64 (*.f64 (exp.f64 a) (pow.f64 b 2)) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (*.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))) (+.f64 (neg.f64 (/.f64 (exp.f64 a) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b))) (/.f64 (exp.f64 a) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (*.f64 b b))))) |
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (-.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (*.f64 b b)) (*.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 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (-.f64 (/.f64 (*.f64 b b) (+.f64 1 (exp.f64 a))) b))) |
(*.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (-.f64 (+.f64 (/.f64 b (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b)) 1) (/.f64 b (+.f64 1 (exp.f64 a))))) |
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (+.f64 (/.f64 (*.f64 (exp.f64 a) (pow.f64 b 2)) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) (pow.f64 b 3)) (pow.f64 (+.f64 1 (exp.f64 a)) 4)))))) |
(+.f64 (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (/.f64 (exp.f64 a) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (*.f64 b b)))) (*.f64 -1 (+.f64 (/.f64 (exp.f64 a) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b)) (/.f64 (*.f64 (exp.f64 a) (pow.f64 b 3)) (pow.f64 (+.f64 1 (exp.f64 a)) 4))))) |
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (-.f64 (-.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (*.f64 b b)) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) b)) (/.f64 (*.f64 (exp.f64 a) (pow.f64 b 3)) (pow.f64 (+.f64 1 (exp.f64 a)) 4)))) |
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (-.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (-.f64 (/.f64 (*.f64 b b) (+.f64 1 (exp.f64 a))) b)) (*.f64 (pow.f64 b 3) (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 4))))) |
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (-.f64 (/.f64 (*.f64 b b) (+.f64 1 (exp.f64 a))) (+.f64 b (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) |
(/.f64 (exp.f64 a) b) |
(+.f64 (/.f64 (exp.f64 a) b) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (exp.f64 a)) (exp.f64 a)) (pow.f64 b 2)))) |
(+.f64 (/.f64 (exp.f64 a) b) (neg.f64 (/.f64 (+.f64 1 (exp.f64 a)) (/.f64 (*.f64 b b) (exp.f64 a))))) |
(-.f64 (/.f64 (exp.f64 a) b) (*.f64 (/.f64 (exp.f64 a) b) (/.f64 (+.f64 1 (exp.f64 a)) b))) |
(-.f64 (/.f64 (exp.f64 a) b) (*.f64 (exp.f64 a) (/.f64 (+.f64 1 (exp.f64 a)) (*.f64 b b)))) |
(*.f64 (+.f64 (/.f64 (-.f64 -1 (exp.f64 a)) b) 1) (/.f64 (exp.f64 a) b)) |
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (exp.f64 a)) (pow.f64 b 3)) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (exp.f64 a)) (exp.f64 a)) (pow.f64 b 2))))) |
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (neg.f64 (/.f64 (+.f64 1 (exp.f64 a)) (/.f64 (*.f64 b b) (exp.f64 a)))) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (/.f64 (pow.f64 b 3) (exp.f64 a))))) |
(+.f64 (/.f64 (exp.f64 a) b) (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 3)) (exp.f64 a)) (*.f64 (/.f64 (exp.f64 a) b) (/.f64 (+.f64 1 (exp.f64 a)) b)))) |
(+.f64 (/.f64 (exp.f64 a) b) (*.f64 (exp.f64 a) (-.f64 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 3)) (/.f64 (+.f64 1 (exp.f64 a)) (*.f64 b b))))) |
(*.f64 (/.f64 (exp.f64 a) b) (-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 b b)) 1) (/.f64 (+.f64 1 (exp.f64 a)) b))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (exp.f64 a)) (pow.f64 b 4))) (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (exp.f64 a)) (pow.f64 b 3)) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (exp.f64 a)) (exp.f64 a)) (pow.f64 b 2)))))) |
(fma.f64 -1 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (/.f64 (pow.f64 b 4) (exp.f64 a))) (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (neg.f64 (/.f64 (+.f64 1 (exp.f64 a)) (/.f64 (*.f64 b b) (exp.f64 a)))) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (/.f64 (pow.f64 b 3) (exp.f64 a)))))) |
(-.f64 (+.f64 (/.f64 (exp.f64 a) b) (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 3)) (exp.f64 a)) (*.f64 (/.f64 (exp.f64 a) b) (/.f64 (+.f64 1 (exp.f64 a)) b)))) (*.f64 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 b 4)) (exp.f64 a))) |
(+.f64 (/.f64 (exp.f64 a) b) (-.f64 (*.f64 (exp.f64 a) (-.f64 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 3)) (/.f64 (+.f64 1 (exp.f64 a)) (*.f64 b b)))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 b 4)) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) |
(+.f64 (*.f64 (+.f64 (/.f64 (-.f64 -1 (exp.f64 a)) b) 1) (/.f64 (exp.f64 a) b)) (*.f64 (/.f64 (exp.f64 a) (pow.f64 b 3)) (-.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) b)))) |
(/.f64 (exp.f64 a) b) |
(+.f64 (/.f64 (exp.f64 a) b) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (exp.f64 a)) (exp.f64 a)) (pow.f64 b 2)))) |
(+.f64 (/.f64 (exp.f64 a) b) (neg.f64 (/.f64 (+.f64 1 (exp.f64 a)) (/.f64 (*.f64 b b) (exp.f64 a))))) |
(-.f64 (/.f64 (exp.f64 a) b) (*.f64 (/.f64 (exp.f64 a) b) (/.f64 (+.f64 1 (exp.f64 a)) b))) |
(-.f64 (/.f64 (exp.f64 a) b) (*.f64 (exp.f64 a) (/.f64 (+.f64 1 (exp.f64 a)) (*.f64 b b)))) |
(*.f64 (+.f64 (/.f64 (-.f64 -1 (exp.f64 a)) b) 1) (/.f64 (exp.f64 a) b)) |
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (exp.f64 a)) (pow.f64 b 3)) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (exp.f64 a)) (exp.f64 a)) (pow.f64 b 2))))) |
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (neg.f64 (/.f64 (+.f64 1 (exp.f64 a)) (/.f64 (*.f64 b b) (exp.f64 a)))) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (/.f64 (pow.f64 b 3) (exp.f64 a))))) |
(+.f64 (/.f64 (exp.f64 a) b) (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 3)) (exp.f64 a)) (*.f64 (/.f64 (exp.f64 a) b) (/.f64 (+.f64 1 (exp.f64 a)) b)))) |
(+.f64 (/.f64 (exp.f64 a) b) (*.f64 (exp.f64 a) (-.f64 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 3)) (/.f64 (+.f64 1 (exp.f64 a)) (*.f64 b b))))) |
(*.f64 (/.f64 (exp.f64 a) b) (-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 b b)) 1) (/.f64 (+.f64 1 (exp.f64 a)) b))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (exp.f64 a)) (pow.f64 b 4))) (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (exp.f64 a)) (pow.f64 b 3)) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (exp.f64 a)) (exp.f64 a)) (pow.f64 b 2)))))) |
(fma.f64 -1 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (/.f64 (pow.f64 b 4) (exp.f64 a))) (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (neg.f64 (/.f64 (+.f64 1 (exp.f64 a)) (/.f64 (*.f64 b b) (exp.f64 a)))) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (/.f64 (pow.f64 b 3) (exp.f64 a)))))) |
(-.f64 (+.f64 (/.f64 (exp.f64 a) b) (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 3)) (exp.f64 a)) (*.f64 (/.f64 (exp.f64 a) b) (/.f64 (+.f64 1 (exp.f64 a)) b)))) (*.f64 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 b 4)) (exp.f64 a))) |
(+.f64 (/.f64 (exp.f64 a) b) (-.f64 (*.f64 (exp.f64 a) (-.f64 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 3)) (/.f64 (+.f64 1 (exp.f64 a)) (*.f64 b b)))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 b 4)) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) |
(+.f64 (*.f64 (+.f64 (/.f64 (-.f64 -1 (exp.f64 a)) b) 1) (/.f64 (exp.f64 a) b)) (*.f64 (/.f64 (exp.f64 a) (pow.f64 b 3)) (-.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) b)))) |
(+.f64 2 b) |
(+.f64 2 (+.f64 a b)) |
(+.f64 (+.f64 2 a) b) |
(+.f64 2 (+.f64 b a)) |
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a b))) |
(fma.f64 1/2 (*.f64 a a) (+.f64 (+.f64 2 a) b)) |
(+.f64 (+.f64 b a) (fma.f64 (*.f64 a a) 1/2 2)) |
(+.f64 2 (fma.f64 a (*.f64 a 1/2) (+.f64 b a))) |
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (+.f64 (*.f64 1/6 (pow.f64 a 3)) b)))) |
(fma.f64 1/2 (*.f64 a a) (+.f64 (+.f64 2 a) (fma.f64 1/6 (pow.f64 a 3) b))) |
(+.f64 (+.f64 a (fma.f64 1/6 (pow.f64 a 3) b)) (fma.f64 (*.f64 a a) 1/2 2)) |
(+.f64 2 (fma.f64 a (*.f64 a 1/2) (+.f64 b (fma.f64 1/6 (pow.f64 a 3) 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) b)) |
(+.f64 1 (+.f64 b (exp.f64 a))) |
(+.f64 (exp.f64 a) (+.f64 1 b)) |
(+.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) b)) |
(+.f64 1 (+.f64 b (exp.f64 a))) |
(+.f64 (exp.f64 a) (+.f64 1 b)) |
(+.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) b)) |
(+.f64 1 (+.f64 b (exp.f64 a))) |
(+.f64 (exp.f64 a) (+.f64 1 b)) |
(+.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) b)) |
(+.f64 1 (+.f64 b (exp.f64 a))) |
(+.f64 (exp.f64 a) (+.f64 1 b)) |
(+.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) b)) |
(+.f64 1 (+.f64 b (exp.f64 a))) |
(+.f64 (exp.f64 a) (+.f64 1 b)) |
(+.f64 1 (+.f64 (exp.f64 a) b)) |
(+.f64 1 (+.f64 b (exp.f64 a))) |
(+.f64 (exp.f64 a) (+.f64 1 b)) |
b |
(+.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) b)) |
(+.f64 1 (+.f64 b (exp.f64 a))) |
(+.f64 (exp.f64 a) (+.f64 1 b)) |
(+.f64 1 (+.f64 (exp.f64 a) b)) |
(+.f64 1 (+.f64 b (exp.f64 a))) |
(+.f64 (exp.f64 a) (+.f64 1 b)) |
b |
(+.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) b)) |
(+.f64 1 (+.f64 b (exp.f64 a))) |
(+.f64 (exp.f64 a) (+.f64 1 b)) |
(+.f64 1 (+.f64 (exp.f64 a) b)) |
(+.f64 1 (+.f64 b (exp.f64 a))) |
(+.f64 (exp.f64 a) (+.f64 1 b)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 1 (exp.f64 a)) |
| ✓ | 0.0b | (/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a))) |
| ✓ | 0.0b | (*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a))) 1) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))) |
| ✓ | 0.5b | (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) |
Compiled 53 to 27 computations (49.1% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | a | @ | 0 | (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) |
| 2.0ms | a | @ | 0 | (*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a))) 1) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))) |
| 2.0ms | a | @ | inf | (*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a))) 1) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))) |
| 2.0ms | a | @ | -inf | (*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a))) 1) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))) |
| 1.0ms | b | @ | 0 | (*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a))) 1) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))) |
| 1× | batch-egg-rewrite |
| 578× | log-prod_binary64 |
| 460× | prod-diff_binary64 |
| 292× | fma-def_binary64 |
| 285× | pow2_binary64 |
| 200× | log-div_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 55 |
| 1 | 242 | 48 |
| 2 | 3679 | 48 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) |
(*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a))) 1) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))) |
(/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a))) |
(+.f64 1 (exp.f64 a)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 a) (/.f64 1 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 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egg-rr> (2) ((x pow.f64 (/.f64 (exp.f64 (*.f64 3 a)) (pow.f64 (+.f64 (exp.f64 a) 1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 a)) a)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (exp.f64 a) (fma.f64 -1 (exp.f64 a) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (exp.f64 (*.f64 2 (-.f64 a (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (exp.f64 (*.f64 3 a)) (pow.f64 (+.f64 (exp.f64 a) 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 a (log1p.f64 (exp.f64 a))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (*.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (*.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (/.f64 b (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (exp.f64 (+.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (-.f64 a (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (/.f64 b (+.f64 (exp.f64 a) 1))) (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 b (*.f64 (/.f64 1 (+.f64 (exp.f64 a) 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 b b)) (*.f64 (cbrt.f64 b) (/.f64 1 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (pow.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 2) (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 2) (*.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) (/.f64 1 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (*.f64 (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (exp.f64 a) 1)) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 b (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 b b)) 1) (/.f64 (cbrt.f64 b) (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2))) (/.f64 b (cbrt.f64 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 b b)) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2))) (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2))) (/.f64 (sqrt.f64 b) (cbrt.f64 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2))) (/.f64 b (cbrt.f64 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 (exp.f64 a) 1))) (/.f64 b (sqrt.f64 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 b b)) (sqrt.f64 (+.f64 (exp.f64 a) 1))) (/.f64 (cbrt.f64 b) (sqrt.f64 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 (+.f64 (exp.f64 a) 1))) (/.f64 b (sqrt.f64 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (+.f64 1 (exp.f64 (*.f64 3 a)))) (fma.f64 (exp.f64 a) (expm1.f64 a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (-.f64 1 (pow.f64 (exp.f64 a) 2))) (-.f64 1 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1))) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)))) (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1))) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1))) 2)) (cbrt.f64 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)))) (sqrt.f64 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)) (/.f64 1 (+.f64 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1))) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2) -1) (/.f64 1 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) -1)) -1))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (exp.f64 a) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (exp.f64 a))) (/.f64 (pow.f64 (exp.f64 a) 2) (-.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (exp.f64 a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (exp.f64 a) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2)) (cbrt.f64 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)) (sqrt.f64 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (exp.f64 (*.f64 3 a))) (/.f64 1 (fma.f64 (exp.f64 a) (expm1.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (/.f64 1 (-.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) 1) (+.f64 1 (exp.f64 (*.f64 3 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (exp.f64 a)) (-.f64 1 (pow.f64 (exp.f64 a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (exp.f64 (*.f64 3 a))) (fma.f64 (exp.f64 a) (expm1.f64 a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (exp.f64 (*.f64 3 a))) (+.f64 (pow.f64 (exp.f64 a) 2) (-.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (-.f64 1 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (exp.f64 (*.f64 3 a)))) (neg.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2))) (neg.f64 (-.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (exp.f64 a) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) 1) (+.f64 1 (exp.f64 (*.f64 3 a)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 (exp.f64 a)) (-.f64 1 (pow.f64 (exp.f64 a) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (exp.f64 a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (exp.f64 a) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (exp.f64 a)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (cbrt.f64 (exp.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) 1))))) |
| 1× | egg-herbie |
| 956× | fma-def_binary64 |
| 587× | times-frac_binary64 |
| 479× | associate-+l+_binary64 |
| 427× | fma-neg_binary64 |
| 401× | associate-+r+_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 112 | 1339 |
| 1 | 385 | 1228 |
| 2 | 1358 | 984 |
| 3 | 6247 | 892 |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 1/4 a)) |
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a))) |
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (+.f64 (*.f64 1/480 (pow.f64 a 5)) (*.f64 1/4 a)))) |
(/.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))) (*.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))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) |
(*.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))) (*.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))) (*.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))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) |
(*.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))) (*.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))) (*.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))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) |
(*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1)) |
(+.f64 (*.f64 a (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/2 b) (+.f64 1 (*.f64 1/4 b)))) (*.f64 1/4 (+.f64 (*.f64 -1/2 b) 1)))) (*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1))) |
(+.f64 (*.f64 (pow.f64 a 2) (-.f64 (*.f64 1/2 (+.f64 (*.f64 1/8 b) (+.f64 (*.f64 -1/8 b) (+.f64 (*.f64 1/4 b) (*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1)))))) (+.f64 (*.f64 1/2 (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/2 b) (+.f64 1 (*.f64 1/4 b)))) (*.f64 1/4 (+.f64 (*.f64 -1/2 b) 1)))) (*.f64 1/8 (+.f64 (*.f64 -1/2 b) 1))))) (+.f64 (*.f64 a (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/2 b) (+.f64 1 (*.f64 1/4 b)))) (*.f64 1/4 (+.f64 (*.f64 -1/2 b) 1)))) (*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1)))) |
(+.f64 (*.f64 (pow.f64 a 2) (-.f64 (*.f64 1/2 (+.f64 (*.f64 1/8 b) (+.f64 (*.f64 -1/8 b) (+.f64 (*.f64 1/4 b) (*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1)))))) (+.f64 (*.f64 1/2 (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/2 b) (+.f64 1 (*.f64 1/4 b)))) (*.f64 1/4 (+.f64 (*.f64 -1/2 b) 1)))) (*.f64 1/8 (+.f64 (*.f64 -1/2 b) 1))))) (+.f64 (*.f64 a (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/2 b) (+.f64 1 (*.f64 1/4 b)))) (*.f64 1/4 (+.f64 (*.f64 -1/2 b) 1)))) (+.f64 (*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1)) (*.f64 (pow.f64 a 3) (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/16 b) (+.f64 (*.f64 1/24 b) (+.f64 (*.f64 -1/8 b) (+.f64 (*.f64 1/6 (+.f64 (*.f64 -1/2 b) 1)) (+.f64 (*.f64 1/4 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))))) (+.f64 (*.f64 1/24 (+.f64 (*.f64 -1/2 b) 1)) (+.f64 (*.f64 1/2 (-.f64 (*.f64 1/2 (+.f64 (*.f64 1/8 b) (+.f64 (*.f64 -1/8 b) (+.f64 (*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1)) (*.f64 1/4 b))))) (+.f64 (*.f64 1/2 (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/2 b) (+.f64 1 (*.f64 1/4 b)))) (*.f64 1/4 (+.f64 (*.f64 -1/2 b) 1)))) (*.f64 1/8 (+.f64 (*.f64 -1/2 b) 1))))) (*.f64 1/4 (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/2 b) (+.f64 1 (*.f64 1/4 b)))) (*.f64 1/4 (+.f64 (*.f64 -1/2 b) 1))))))))))) |
(/.f64 (*.f64 (exp.f64 a) (+.f64 1 (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))))) (+.f64 1 (exp.f64 a))) |
(/.f64 (*.f64 (exp.f64 a) (+.f64 1 (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))))) (+.f64 1 (exp.f64 a))) |
(/.f64 (*.f64 (exp.f64 a) (+.f64 1 (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))))) (+.f64 1 (exp.f64 a))) |
(/.f64 (*.f64 (exp.f64 a) (+.f64 1 (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))))) (+.f64 1 (exp.f64 a))) |
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))) (exp.f64 a)) (+.f64 1 (exp.f64 a))) |
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))) (exp.f64 a)) (+.f64 1 (exp.f64 a))) |
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))) (exp.f64 a)) (+.f64 1 (exp.f64 a))) |
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))) (exp.f64 a)) (+.f64 1 (exp.f64 a))) |
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(*.f64 -1/2 b) |
(+.f64 (*.f64 -1/2 b) (*.f64 1/4 (*.f64 a b))) |
(+.f64 (*.f64 -1/2 b) (+.f64 (*.f64 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)) (pow.f64 a 2)) (*.f64 1/4 (*.f64 a b)))) |
(+.f64 (*.f64 -1/2 b) (+.f64 (*.f64 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)) (pow.f64 a 2)) (+.f64 (*.f64 1/4 (*.f64 a b)) (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/24 b) (+.f64 (*.f64 -1/16 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))))) |
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))) |
2 |
(+.f64 2 a) |
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a)) |
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (*.f64 1/6 (pow.f64 a 3))))) |
| Outputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 1/4 a)) |
(fma.f64 1/4 a 1/2) |
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a))) |
(fma.f64 -1/48 (pow.f64 a 3) (+.f64 1/2 (*.f64 1/4 a))) |
(fma.f64 -1/48 (pow.f64 a 3) (fma.f64 1/4 a 1/2)) |
(fma.f64 1/4 a (fma.f64 -1/48 (pow.f64 a 3) 1/2)) |
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (+.f64 (*.f64 1/480 (pow.f64 a 5)) (*.f64 1/4 a)))) |
(fma.f64 -1/48 (pow.f64 a 3) (+.f64 1/2 (fma.f64 1/480 (pow.f64 a 5) (*.f64 1/4 a)))) |
(+.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 1/4 a 1/2)) (*.f64 1/480 (pow.f64 a 5))) |
(fma.f64 -1/48 (pow.f64 a 3) (fma.f64 1/4 a (fma.f64 1/480 (pow.f64 a 5) 1/2))) |
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) |
(+.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 (exp.f64 a) 1)) (neg.f64 (/.f64 (exp.f64 a) (/.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2) b)))) |
(-.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) 1) 2)) b)) |
(-.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 (exp.f64 a) 1) 2))) |
(*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) (-.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)))) |
(+.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 (exp.f64 a) 1)) (neg.f64 (/.f64 (exp.f64 a) (/.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2) b)))) |
(-.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) 1) 2)) b)) |
(-.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 (exp.f64 a) 1) 2))) |
(*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) (-.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)))) |
(+.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 (exp.f64 a) 1)) (neg.f64 (/.f64 (exp.f64 a) (/.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2) b)))) |
(-.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) 1) 2)) b)) |
(-.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 (exp.f64 a) 1) 2))) |
(*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) (-.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)))) |
(*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) |
(neg.f64 (/.f64 (exp.f64 a) (/.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2) b))) |
(/.f64 (*.f64 (neg.f64 b) (exp.f64 a)) (pow.f64 (+.f64 (exp.f64 a) 1) 2)) |
(*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) 1) 2)) (neg.f64 b)) |
(+.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 (exp.f64 a) 1)) (neg.f64 (/.f64 (exp.f64 a) (/.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2) b)))) |
(-.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) 1) 2)) b)) |
(-.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 (exp.f64 a) 1) 2))) |
(*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) (-.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)))) |
(+.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 (exp.f64 a) 1)) (neg.f64 (/.f64 (exp.f64 a) (/.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2) b)))) |
(-.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) 1) 2)) b)) |
(-.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 (exp.f64 a) 1) 2))) |
(*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) (-.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)))) |
(+.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 (exp.f64 a) 1)) (neg.f64 (/.f64 (exp.f64 a) (/.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2) b)))) |
(-.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) 1) 2)) b)) |
(-.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 (exp.f64 a) 1) 2))) |
(*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) (-.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)))) |
(*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) |
(neg.f64 (/.f64 (exp.f64 a) (/.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2) b))) |
(/.f64 (*.f64 (neg.f64 b) (exp.f64 a)) (pow.f64 (+.f64 (exp.f64 a) 1) 2)) |
(*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) 1) 2)) (neg.f64 b)) |
(+.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 (exp.f64 a) 1)) (neg.f64 (/.f64 (exp.f64 a) (/.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2) b)))) |
(-.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) 1) 2)) b)) |
(-.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 (exp.f64 a) 1) 2))) |
(*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) (-.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)))) |
(+.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 (exp.f64 a) 1)) (neg.f64 (/.f64 (exp.f64 a) (/.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2) b)))) |
(-.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) 1) 2)) b)) |
(-.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 (exp.f64 a) 1) 2))) |
(*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) (-.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)))) |
(+.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 (exp.f64 a) 1)) (neg.f64 (/.f64 (exp.f64 a) (/.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2) b)))) |
(-.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) 1) 2)) b)) |
(-.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 (exp.f64 a) 1) 2))) |
(*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) (-.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)))) |
(*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1)) |
(*.f64 1/2 (fma.f64 -1/2 b 1)) |
(+.f64 1/2 (*.f64 b -1/4)) |
(fma.f64 b -1/4 1/2) |
(+.f64 (*.f64 a (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/2 b) (+.f64 1 (*.f64 1/4 b)))) (*.f64 1/4 (+.f64 (*.f64 -1/2 b) 1)))) (*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1))) |
(fma.f64 a (+.f64 (*.f64 1/2 (+.f64 (fma.f64 -1/2 b 1) (*.f64 1/4 b))) (*.f64 -1/4 (fma.f64 -1/2 b 1))) (*.f64 1/2 (fma.f64 -1/2 b 1))) |
(fma.f64 a (fma.f64 1/2 (fma.f64 b -1/2 (fma.f64 1/4 b 1)) (*.f64 (fma.f64 b -1/2 1) -1/4)) (+.f64 1/2 (*.f64 b -1/4))) |
(fma.f64 1/4 a (fma.f64 b -1/4 1/2)) |
(+.f64 (*.f64 (pow.f64 a 2) (-.f64 (*.f64 1/2 (+.f64 (*.f64 1/8 b) (+.f64 (*.f64 -1/8 b) (+.f64 (*.f64 1/4 b) (*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1)))))) (+.f64 (*.f64 1/2 (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/2 b) (+.f64 1 (*.f64 1/4 b)))) (*.f64 1/4 (+.f64 (*.f64 -1/2 b) 1)))) (*.f64 1/8 (+.f64 (*.f64 -1/2 b) 1))))) (+.f64 (*.f64 a (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/2 b) (+.f64 1 (*.f64 1/4 b)))) (*.f64 1/4 (+.f64 (*.f64 -1/2 b) 1)))) (*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1)))) |
(fma.f64 (*.f64 a a) (-.f64 (*.f64 1/2 (+.f64 (*.f64 b 0) (fma.f64 1/2 (fma.f64 -1/2 b 1) (*.f64 1/4 b)))) (fma.f64 1/2 (+.f64 (*.f64 1/2 (+.f64 (fma.f64 -1/2 b 1) (*.f64 1/4 b))) (*.f64 -1/4 (fma.f64 -1/2 b 1))) (*.f64 (fma.f64 -1/2 b 1) 1/8))) (fma.f64 a (+.f64 (*.f64 1/2 (+.f64 (fma.f64 -1/2 b 1) (*.f64 1/4 b))) (*.f64 -1/4 (fma.f64 -1/2 b 1))) (*.f64 1/2 (fma.f64 -1/2 b 1)))) |
(fma.f64 (*.f64 a a) (-.f64 (*.f64 1/2 (-.f64 (+.f64 (fma.f64 1/4 b (+.f64 1/2 (*.f64 b -1/4))) 0) (fma.f64 1/2 (fma.f64 b -1/2 (fma.f64 1/4 b 1)) (*.f64 (fma.f64 b -1/2 1) -1/4)))) (+.f64 1/8 (*.f64 b -1/16))) (fma.f64 a (fma.f64 1/2 (fma.f64 b -1/2 (fma.f64 1/4 b 1)) (*.f64 (fma.f64 b -1/2 1) -1/4)) (+.f64 1/2 (*.f64 b -1/4)))) |
(fma.f64 1/4 a (fma.f64 (*.f64 a a) (fma.f64 b 1/16 0) (fma.f64 b -1/4 1/2))) |
(fma.f64 1/4 a (fma.f64 (*.f64 a a) (*.f64 b 1/16) (fma.f64 b -1/4 1/2))) |
(+.f64 (*.f64 (pow.f64 a 2) (-.f64 (*.f64 1/2 (+.f64 (*.f64 1/8 b) (+.f64 (*.f64 -1/8 b) (+.f64 (*.f64 1/4 b) (*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1)))))) (+.f64 (*.f64 1/2 (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/2 b) (+.f64 1 (*.f64 1/4 b)))) (*.f64 1/4 (+.f64 (*.f64 -1/2 b) 1)))) (*.f64 1/8 (+.f64 (*.f64 -1/2 b) 1))))) (+.f64 (*.f64 a (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/2 b) (+.f64 1 (*.f64 1/4 b)))) (*.f64 1/4 (+.f64 (*.f64 -1/2 b) 1)))) (+.f64 (*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1)) (*.f64 (pow.f64 a 3) (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/16 b) (+.f64 (*.f64 1/24 b) (+.f64 (*.f64 -1/8 b) (+.f64 (*.f64 1/6 (+.f64 (*.f64 -1/2 b) 1)) (+.f64 (*.f64 1/4 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))))) (+.f64 (*.f64 1/24 (+.f64 (*.f64 -1/2 b) 1)) (+.f64 (*.f64 1/2 (-.f64 (*.f64 1/2 (+.f64 (*.f64 1/8 b) (+.f64 (*.f64 -1/8 b) (+.f64 (*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1)) (*.f64 1/4 b))))) (+.f64 (*.f64 1/2 (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/2 b) (+.f64 1 (*.f64 1/4 b)))) (*.f64 1/4 (+.f64 (*.f64 -1/2 b) 1)))) (*.f64 1/8 (+.f64 (*.f64 -1/2 b) 1))))) (*.f64 1/4 (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/2 b) (+.f64 1 (*.f64 1/4 b)))) (*.f64 1/4 (+.f64 (*.f64 -1/2 b) 1))))))))))) |
(fma.f64 (*.f64 a a) (-.f64 (*.f64 1/2 (+.f64 (*.f64 b 0) (fma.f64 1/2 (fma.f64 -1/2 b 1) (*.f64 1/4 b)))) (fma.f64 1/2 (+.f64 (*.f64 1/2 (+.f64 (fma.f64 -1/2 b 1) (*.f64 1/4 b))) (*.f64 -1/4 (fma.f64 -1/2 b 1))) (*.f64 (fma.f64 -1/2 b 1) 1/8))) (fma.f64 a (+.f64 (*.f64 1/2 (+.f64 (fma.f64 -1/2 b 1) (*.f64 1/4 b))) (*.f64 -1/4 (fma.f64 -1/2 b 1))) (fma.f64 1/2 (fma.f64 -1/2 b 1) (*.f64 (pow.f64 a 3) (-.f64 (*.f64 1/2 (fma.f64 -1/16 b (fma.f64 1/24 b (fma.f64 -1/8 b (fma.f64 1/6 (fma.f64 -1/2 b 1) (fma.f64 1/4 b (*.f64 -1/2 (*.f64 b 0)))))))) (fma.f64 1/24 (fma.f64 -1/2 b 1) (fma.f64 1/2 (-.f64 (*.f64 1/2 (+.f64 (*.f64 b 0) (fma.f64 1/2 (fma.f64 -1/2 b 1) (*.f64 1/4 b)))) (fma.f64 1/2 (+.f64 (*.f64 1/2 (+.f64 (fma.f64 -1/2 b 1) (*.f64 1/4 b))) (*.f64 -1/4 (fma.f64 -1/2 b 1))) (*.f64 (fma.f64 -1/2 b 1) 1/8))) (*.f64 1/4 (+.f64 (*.f64 1/2 (+.f64 (fma.f64 -1/2 b 1) (*.f64 1/4 b))) (*.f64 -1/4 (fma.f64 -1/2 b 1))))))))))) |
(fma.f64 (*.f64 a a) (-.f64 (*.f64 1/2 (-.f64 (+.f64 (fma.f64 1/4 b (+.f64 1/2 (*.f64 b -1/4))) 0) (fma.f64 1/2 (fma.f64 b -1/2 (fma.f64 1/4 b 1)) (*.f64 (fma.f64 b -1/2 1) -1/4)))) (+.f64 1/8 (*.f64 b -1/16))) (fma.f64 a (fma.f64 1/2 (fma.f64 b -1/2 (fma.f64 1/4 b 1)) (*.f64 (fma.f64 b -1/2 1) -1/4)) (fma.f64 (pow.f64 a 3) (-.f64 (*.f64 1/2 (+.f64 (fma.f64 b -1/8 (fma.f64 (fma.f64 b -1/2 1) 1/6 (fma.f64 1/4 b 0))) (*.f64 -1/48 b))) (fma.f64 (fma.f64 b -1/2 1) 1/24 (fma.f64 1/2 (-.f64 (*.f64 1/2 (-.f64 (+.f64 (fma.f64 1/4 b (+.f64 1/2 (*.f64 b -1/4))) 0) (fma.f64 1/2 (fma.f64 b -1/2 (fma.f64 1/4 b 1)) (*.f64 (fma.f64 b -1/2 1) -1/4)))) (+.f64 1/8 (*.f64 b -1/16))) (*.f64 1/4 (fma.f64 1/2 (fma.f64 b -1/2 (fma.f64 1/4 b 1)) (*.f64 (fma.f64 b -1/2 1) -1/4)))))) (+.f64 1/2 (*.f64 b -1/4))))) |
(fma.f64 1/4 a (fma.f64 a (*.f64 a (fma.f64 b 1/16 0)) (fma.f64 (pow.f64 a 3) (fma.f64 1/2 (fma.f64 b -1/12 (+.f64 (fma.f64 b -1/12 1/6) (*.f64 b 3/16))) (-.f64 -1/16 (fma.f64 1/2 (fma.f64 b 1/16 0) (fma.f64 -1/48 b 1/24)))) (fma.f64 b -1/4 1/2)))) |
(fma.f64 1/4 a (fma.f64 a (*.f64 a (*.f64 b 1/16)) (fma.f64 (pow.f64 a 3) (fma.f64 b -1/32 (+.f64 (+.f64 (*.f64 1/2 (fma.f64 b -1/12 (fma.f64 1/4 b (fma.f64 b -1/12 1/6)))) (*.f64 b -1/96)) -5/48)) (fma.f64 b -1/4 1/2)))) |
(/.f64 (*.f64 (exp.f64 a) (+.f64 1 (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))))) (+.f64 1 (exp.f64 a))) |
(+.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) (neg.f64 (/.f64 (exp.f64 a) (/.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2) b)))) |
(-.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) 1) 2)) b)) |
(-.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 (exp.f64 a) 1) 2))) |
(*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) (-.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)))) |
(/.f64 (*.f64 (exp.f64 a) (+.f64 1 (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))))) (+.f64 1 (exp.f64 a))) |
(+.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) (neg.f64 (/.f64 (exp.f64 a) (/.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2) b)))) |
(-.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) 1) 2)) b)) |
(-.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 (exp.f64 a) 1) 2))) |
(*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) (-.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)))) |
(/.f64 (*.f64 (exp.f64 a) (+.f64 1 (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))))) (+.f64 1 (exp.f64 a))) |
(+.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) (neg.f64 (/.f64 (exp.f64 a) (/.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2) b)))) |
(-.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) 1) 2)) b)) |
(-.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 (exp.f64 a) 1) 2))) |
(*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) (-.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)))) |
(/.f64 (*.f64 (exp.f64 a) (+.f64 1 (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))))) (+.f64 1 (exp.f64 a))) |
(+.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) (neg.f64 (/.f64 (exp.f64 a) (/.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2) b)))) |
(-.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) 1) 2)) b)) |
(-.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 (exp.f64 a) 1) 2))) |
(*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) (-.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)))) |
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))) (exp.f64 a)) (+.f64 1 (exp.f64 a))) |
(+.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) (neg.f64 (/.f64 (exp.f64 a) (/.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2) b)))) |
(-.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) 1) 2)) b)) |
(-.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 (exp.f64 a) 1) 2))) |
(*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) (-.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)))) |
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))) (exp.f64 a)) (+.f64 1 (exp.f64 a))) |
(+.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) (neg.f64 (/.f64 (exp.f64 a) (/.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2) b)))) |
(-.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) 1) 2)) b)) |
(-.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 (exp.f64 a) 1) 2))) |
(*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) (-.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)))) |
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))) (exp.f64 a)) (+.f64 1 (exp.f64 a))) |
(+.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) (neg.f64 (/.f64 (exp.f64 a) (/.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2) b)))) |
(-.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) 1) 2)) b)) |
(-.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 (exp.f64 a) 1) 2))) |
(*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) (-.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)))) |
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))) (exp.f64 a)) (+.f64 1 (exp.f64 a))) |
(+.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) (neg.f64 (/.f64 (exp.f64 a) (/.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2) b)))) |
(-.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) 1) 2)) b)) |
(-.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 (exp.f64 a) 1) 2))) |
(*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) (-.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)))) |
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(neg.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) |
(/.f64 (neg.f64 b) (+.f64 (exp.f64 a) 1)) |
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(neg.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) |
(/.f64 (neg.f64 b) (+.f64 (exp.f64 a) 1)) |
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(neg.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) |
(/.f64 (neg.f64 b) (+.f64 (exp.f64 a) 1)) |
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(neg.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) |
(/.f64 (neg.f64 b) (+.f64 (exp.f64 a) 1)) |
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(neg.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) |
(/.f64 (neg.f64 b) (+.f64 (exp.f64 a) 1)) |
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(neg.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) |
(/.f64 (neg.f64 b) (+.f64 (exp.f64 a) 1)) |
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(neg.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) |
(/.f64 (neg.f64 b) (+.f64 (exp.f64 a) 1)) |
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(neg.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) |
(/.f64 (neg.f64 b) (+.f64 (exp.f64 a) 1)) |
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(neg.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) |
(/.f64 (neg.f64 b) (+.f64 (exp.f64 a) 1)) |
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(neg.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) |
(/.f64 (neg.f64 b) (+.f64 (exp.f64 a) 1)) |
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(neg.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) |
(/.f64 (neg.f64 b) (+.f64 (exp.f64 a) 1)) |
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(neg.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) |
(/.f64 (neg.f64 b) (+.f64 (exp.f64 a) 1)) |
(*.f64 -1/2 b) |
(*.f64 b -1/2) |
(+.f64 (*.f64 -1/2 b) (*.f64 1/4 (*.f64 a b))) |
(fma.f64 -1/2 b (*.f64 1/4 (*.f64 a b))) |
(*.f64 b (+.f64 (*.f64 1/4 a) -1/2)) |
(*.f64 b (fma.f64 1/4 a -1/2)) |
(+.f64 (*.f64 -1/2 b) (+.f64 (*.f64 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)) (pow.f64 a 2)) (*.f64 1/4 (*.f64 a b)))) |
(fma.f64 -1/2 b (*.f64 1/4 (*.f64 a b))) |
(*.f64 b (+.f64 (*.f64 1/4 a) -1/2)) |
(*.f64 b (fma.f64 1/4 a -1/2)) |
(+.f64 (*.f64 -1/2 b) (+.f64 (*.f64 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)) (pow.f64 a 2)) (+.f64 (*.f64 1/4 (*.f64 a b)) (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/24 b) (+.f64 (*.f64 -1/16 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))))) |
(fma.f64 -1/2 b (fma.f64 (*.f64 b 0) (*.f64 a a) (fma.f64 1/4 (*.f64 a b) (*.f64 (pow.f64 a 3) (fma.f64 1/24 b (fma.f64 -1/16 b (*.f64 -1/2 (*.f64 b 0)))))))) |
(fma.f64 b -1/2 (fma.f64 (*.f64 a a) 0 (fma.f64 (pow.f64 a 3) (+.f64 0 (*.f64 -1/48 b)) (*.f64 1/4 (*.f64 a b))))) |
(+.f64 (*.f64 b (fma.f64 1/4 a -1/2)) (*.f64 (pow.f64 a 3) (*.f64 -1/48 b))) |
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(neg.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) |
(/.f64 (neg.f64 b) (+.f64 (exp.f64 a) 1)) |
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(neg.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) |
(/.f64 (neg.f64 b) (+.f64 (exp.f64 a) 1)) |
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(neg.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) |
(/.f64 (neg.f64 b) (+.f64 (exp.f64 a) 1)) |
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(neg.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) |
(/.f64 (neg.f64 b) (+.f64 (exp.f64 a) 1)) |
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(neg.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) |
(/.f64 (neg.f64 b) (+.f64 (exp.f64 a) 1)) |
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(neg.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) |
(/.f64 (neg.f64 b) (+.f64 (exp.f64 a) 1)) |
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(neg.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) |
(/.f64 (neg.f64 b) (+.f64 (exp.f64 a) 1)) |
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))) |
(neg.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) |
(/.f64 (neg.f64 b) (+.f64 (exp.f64 a) 1)) |
2 |
(+.f64 2 a) |
(+.f64 a 2) |
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a)) |
(fma.f64 1/2 (*.f64 a a) (+.f64 a 2)) |
(+.f64 a (fma.f64 1/2 (*.f64 a a) 2)) |
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (*.f64 1/6 (pow.f64 a 3))))) |
(fma.f64 1/2 (*.f64 a a) (+.f64 (+.f64 a 2) (*.f64 (pow.f64 a 3) 1/6))) |
(+.f64 (fma.f64 (pow.f64 a 3) 1/6 a) (fma.f64 1/2 (*.f64 a a) 2)) |
(+.f64 2 (fma.f64 1/2 (*.f64 a a) (fma.f64 (pow.f64 a 3) 1/6 a))) |
Compiled 19241 to 10126 computations (47.4% saved)
11 alts after pruning (9 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 878 | 9 | 887 |
| Fresh | 3 | 0 | 3 |
| Picked | 1 | 0 | 1 |
| Done | 3 | 2 | 5 |
| Total | 885 | 11 | 896 |
| Status | Error | Program |
|---|---|---|
| 20.8b | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) | |
| ▶ | 12.6b | (/.f64 1 (expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 b))))) |
| 45.9b | (/.f64 (exp.f64 a) b) | |
| 38.4b | (/.f64 1 (+.f64 2 b)) | |
| 38.3b | (+.f64 (*.f64 a (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/2 b) (+.f64 1 (*.f64 1/4 b)))) (*.f64 1/4 (+.f64 (*.f64 -1/2 b) 1)))) (*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1))) | |
| ▶ | 21.3b | (/.f64 (exp.f64 a) 2) |
| ▶ | 38.5b | (*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1)) |
| ✓ | 12.3b | (/.f64 1 (+.f64 1 (exp.f64 b))) |
| ▶ | 37.2b | (/.f64 1 2) |
| ✓ | 1.0b | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| ▶ | 38.3b | (*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a))) 1) (+.f64 1/2 (*.f64 1/4 a))) |
Compiled 218 to 179 computations (17.9% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (+.f64 1 (exp.f64 b)) | |
| ✓ | 0.0b | (expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 b)))) |
| ✓ | 0.8b | (log1p.f64 (+.f64 1 (exp.f64 b))) |
Compiled 29 to 19 computations (34.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 62.0ms | b | @ | inf | (log1p.f64 (+.f64 1 (exp.f64 b))) |
| 15.0ms | b | @ | -inf | (log1p.f64 (+.f64 1 (exp.f64 b))) |
| 1.0ms | b | @ | 0 | (log1p.f64 (+.f64 1 (exp.f64 b))) |
| 0.0ms | b | @ | 0 | (expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 b)))) |
| 0.0ms | b | @ | -inf | (expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 b)))) |
| 1× | batch-egg-rewrite |
| 556× | pow1_binary64 |
| 516× | add-log-exp_binary64 |
| 516× | expm1-log1p-u_binary64 |
| 515× | log1p-expm1-u_binary64 |
| 505× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 14 |
| 1 | 117 | 14 |
| 2 | 1411 | 14 |
| 1× | node limit |
| Inputs |
|---|
(log1p.f64 (+.f64 1 (exp.f64 b))) |
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 b)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log1p.f64 (+.f64 1 (exp.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (+.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (+.f64 1 (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (+.f64 1 (exp.f64 b)))) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 1 (exp.f64 b)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 1 (exp.f64 b)))) 2) (cbrt.f64 (log1p.f64 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (+.f64 1 (exp.f64 b)))) (sqrt.f64 (log1p.f64 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (+.f64 1 (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (+.f64 1 (exp.f64 b))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (+.f64 1 (exp.f64 b)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (+.f64 1 (exp.f64 b)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (+.f64 1 (exp.f64 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 2 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (+.f64 1 (exp.f64 b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (+.f64 1 (exp.f64 b))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (exp.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 2 (exp.f64 b)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 2 (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 b) 2) (-.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 (sqrt.f64 (+.f64 1 (exp.f64 b))) (sqrt.f64 (+.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (/.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 (pow.f64 (exp.f64 b) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (exp.f64 b)) (-.f64 1 (pow.f64 (exp.f64 b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (+.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.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 (pow.f64 (exp.f64 b) 2))) (neg.f64 (-.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 2 (exp.f64 b)) 3) 1) (+.f64 (*.f64 (+.f64 2 (exp.f64 b)) (+.f64 2 (exp.f64 b))) (+.f64 1 (*.f64 (+.f64 2 (exp.f64 b)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 2 (exp.f64 b)) (+.f64 2 (exp.f64 b))) 1) (+.f64 (+.f64 2 (exp.f64 b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 b) 2) 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 (sqrt.f64 (+.f64 1 (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 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 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 (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (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 |
| 836× | fma-def_binary64 |
| 598× | associate-/l/_binary64 |
| 451× | associate-/r/_binary64 |
| 375× | associate-/l*_binary64 |
| 343× | *-commutative_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 195 |
| 1 | 70 | 191 |
| 2 | 166 | 191 |
| 3 | 482 | 181 |
| 4 | 1254 | 179 |
| 5 | 2332 | 179 |
| 6 | 2917 | 179 |
| 7 | 3199 | 179 |
| 8 | 3835 | 179 |
| 9 | 6657 | 179 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 3) |
(+.f64 (*.f64 1/3 b) (log.f64 3)) |
(+.f64 (*.f64 1/3 b) (+.f64 (*.f64 1/9 (pow.f64 b 2)) (log.f64 3))) |
(+.f64 (*.f64 1/81 (pow.f64 b 3)) (+.f64 (*.f64 1/3 b) (+.f64 (*.f64 1/9 (pow.f64 b 2)) (log.f64 3)))) |
(log.f64 (+.f64 2 (exp.f64 b))) |
(log.f64 (+.f64 2 (exp.f64 b))) |
(log.f64 (+.f64 2 (exp.f64 b))) |
(log.f64 (+.f64 2 (exp.f64 b))) |
(log.f64 (+.f64 2 (exp.f64 b))) |
(log.f64 (+.f64 2 (exp.f64 b))) |
(log.f64 (+.f64 2 (exp.f64 b))) |
(log.f64 (+.f64 2 (exp.f64 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))))) |
(+.f64 1 (exp.f64 b)) |
(+.f64 1 (exp.f64 b)) |
(+.f64 1 (exp.f64 b)) |
(+.f64 1 (exp.f64 b)) |
(+.f64 1 (exp.f64 b)) |
(+.f64 1 (exp.f64 b)) |
(+.f64 1 (exp.f64 b)) |
(+.f64 1 (exp.f64 b)) |
| Outputs |
|---|
(log.f64 3) |
(+.f64 (*.f64 1/3 b) (log.f64 3)) |
(fma.f64 1/3 b (log.f64 3)) |
(+.f64 (*.f64 1/3 b) (+.f64 (*.f64 1/9 (pow.f64 b 2)) (log.f64 3))) |
(fma.f64 1/3 b (fma.f64 1/9 (*.f64 b b) (log.f64 3))) |
(fma.f64 1/3 b (fma.f64 b (*.f64 b 1/9) (log.f64 3))) |
(fma.f64 b (fma.f64 b 1/9 1/3) (log.f64 3)) |
(+.f64 (*.f64 1/81 (pow.f64 b 3)) (+.f64 (*.f64 1/3 b) (+.f64 (*.f64 1/9 (pow.f64 b 2)) (log.f64 3)))) |
(fma.f64 1/81 (pow.f64 b 3) (fma.f64 1/3 b (fma.f64 1/9 (*.f64 b b) (log.f64 3)))) |
(fma.f64 1/3 b (fma.f64 1/81 (pow.f64 b 3) (fma.f64 b (*.f64 b 1/9) (log.f64 3)))) |
(fma.f64 1/81 (pow.f64 b 3) (fma.f64 b (fma.f64 b 1/9 1/3) (log.f64 3))) |
(fma.f64 b (+.f64 1/3 (*.f64 b (fma.f64 b 1/81 1/9))) (log.f64 3)) |
(log.f64 (+.f64 2 (exp.f64 b))) |
(log.f64 (+.f64 2 (exp.f64 b))) |
(log.f64 (+.f64 2 (exp.f64 b))) |
(log.f64 (+.f64 2 (exp.f64 b))) |
(log.f64 (+.f64 2 (exp.f64 b))) |
(log.f64 (+.f64 2 (exp.f64 b))) |
(log.f64 (+.f64 2 (exp.f64 b))) |
(log.f64 (+.f64 2 (exp.f64 b))) |
2 |
(+.f64 2 b) |
(+.f64 b 2) |
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))) |
(+.f64 2 (+.f64 b (*.f64 (*.f64 b b) 1/2))) |
(+.f64 2 (fma.f64 (*.f64 b b) 1/2 b)) |
(+.f64 b (fma.f64 b (*.f64 b 1/2) 2)) |
(fma.f64 (fma.f64 b 1/2 1) b 2) |
(fma.f64 b (fma.f64 b 1/2 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 (*.f64 b b) 1/2)))) |
(+.f64 (fma.f64 (*.f64 b b) 1/2 b) (fma.f64 (pow.f64 b 3) 1/6 2)) |
(+.f64 2 (fma.f64 (pow.f64 b 3) 1/6 (fma.f64 b (*.f64 b 1/2) b))) |
(fma.f64 (fma.f64 b 1/2 1) b (fma.f64 (pow.f64 b 3) 1/6 2)) |
(fma.f64 (*.f64 b b) (fma.f64 b 1/6 1/2) (+.f64 b 2)) |
(+.f64 b (fma.f64 (*.f64 b b) (fma.f64 b 1/6 1/2) 2)) |
(+.f64 2 (fma.f64 (*.f64 b b) (fma.f64 b 1/6 1/2) b)) |
(+.f64 1 (exp.f64 b)) |
(+.f64 (exp.f64 b) 1) |
(+.f64 1 (exp.f64 b)) |
(+.f64 (exp.f64 b) 1) |
(+.f64 1 (exp.f64 b)) |
(+.f64 (exp.f64 b) 1) |
(+.f64 1 (exp.f64 b)) |
(+.f64 (exp.f64 b) 1) |
(+.f64 1 (exp.f64 b)) |
(+.f64 (exp.f64 b) 1) |
(+.f64 1 (exp.f64 b)) |
(+.f64 (exp.f64 b) 1) |
(+.f64 1 (exp.f64 b)) |
(+.f64 (exp.f64 b) 1) |
(+.f64 1 (exp.f64 b)) |
(+.f64 (exp.f64 b) 1) |
Compiled 7 to 7 computations (0% saved)
Compiled 21 to 17 computations (19% saved)
Compiled 10 to 6 computations (40% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (+.f64 1 (exp.f64 a)) | |
| 0.0b | (/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a))) | |
| ✓ | 0.0b | (*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a))) 1) (+.f64 1/2 (*.f64 1/4 a))) |
Compiled 54 to 33 computations (38.9% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | b | @ | 0 | (*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a))) 1) (+.f64 1/2 (*.f64 1/4 a))) |
| 1.0ms | a | @ | inf | (*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a))) 1) (+.f64 1/2 (*.f64 1/4 a))) |
| 1.0ms | a | @ | 0 | (*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a))) 1) (+.f64 1/2 (*.f64 1/4 a))) |
| 1.0ms | a | @ | -inf | (*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a))) 1) (+.f64 1/2 (*.f64 1/4 a))) |
| 0.0ms | b | @ | inf | (*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a))) 1) (+.f64 1/2 (*.f64 1/4 a))) |
| 1× | batch-egg-rewrite |
| 723× | prod-diff_binary64 |
| 432× | fma-def_binary64 |
| 246× | log1p-udef_binary64 |
| 245× | expm1-udef_binary64 |
| 227× | fma-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 23 |
| 1 | 312 | 19 |
| 2 | 4521 | 19 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a))) 1) (+.f64 1/2 (*.f64 1/4 a))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 a 1/4 1/2) (*.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (fma.f64 a 1/4 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 a 1/4 1/2) (*.f64 (fma.f64 a 1/4 1/2) (/.f64 b (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/2 1/2) (*.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))) (*.f64 a 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))) (*.f64 a 1/4)) (fma.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/2 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1/2 1/2) 1) (*.f64 (*.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))) (*.f64 a 1/4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (fma.f64 a 1/4 1/2)) (fma.f64 a 1/4 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 a 1/4 1/2) (/.f64 b (+.f64 1 (exp.f64 a)))) (fma.f64 a 1/4 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))) (fma.f64 a 1/4 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3)) (fma.f64 1/64 (pow.f64 a 3) 1/8)) (*.f64 (+.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2)) (fma.f64 (*.f64 a 1/4) (fma.f64 a 1/4 -1/2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2) -1) (fma.f64 1/64 (pow.f64 a 3) 1/8)) (*.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) -1) (fma.f64 (*.f64 a 1/4) (fma.f64 a 1/4 -1/2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3)) (-.f64 1/4 (*.f64 1/16 (*.f64 a a)))) (*.f64 (+.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2)) (+.f64 1/2 (*.f64 -1/4 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2) -1) (-.f64 1/4 (*.f64 1/16 (*.f64 a a)))) (*.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) -1) (+.f64 1/2 (*.f64 -1/4 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 1/64 (pow.f64 a 3) 1/8) (+.f64 1 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3))) (*.f64 (fma.f64 (*.f64 a 1/4) (fma.f64 a 1/4 -1/2) 1/4) (+.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/4 (*.f64 1/16 (*.f64 a a))) (+.f64 1 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3))) (*.f64 (+.f64 1/2 (*.f64 -1/4 a)) (+.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 1/64 (pow.f64 a 3) 1/8) (+.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2) -1)) (*.f64 (fma.f64 (*.f64 a 1/4) (fma.f64 a 1/4 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| 1× | egg-herbie |
| 556× | distribute-rgt-in_binary64 |
| 537× | distribute-lft-in_binary64 |
| 506× | fma-def_binary64 |
| 314× | *-commutative_binary64 |
| 291× | fma-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 649 |
| 1 | 221 | 501 |
| 2 | 895 | 484 |
| 3 | 3299 | 424 |
| 4 | 6419 | 424 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 1/2 (*.f64 1/4 a)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 b (+.f64 1/2 (*.f64 1/4 a))) (+.f64 1 (exp.f64 a)))) (+.f64 1/2 (*.f64 1/4 a))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 b (+.f64 1/2 (*.f64 1/4 a))) (+.f64 1 (exp.f64 a)))) (+.f64 1/2 (*.f64 1/4 a))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 b (+.f64 1/2 (*.f64 1/4 a))) (+.f64 1 (exp.f64 a)))) (+.f64 1/2 (*.f64 1/4 a))) |
(*.f64 -1 (/.f64 (*.f64 b (+.f64 1/2 (*.f64 1/4 a))) (+.f64 1 (exp.f64 a)))) |
(+.f64 1/2 (+.f64 (*.f64 -1 (/.f64 (*.f64 b (+.f64 1/2 (*.f64 1/4 a))) (+.f64 1 (exp.f64 a)))) (*.f64 1/4 a))) |
(+.f64 1/2 (+.f64 (*.f64 -1 (/.f64 (*.f64 b (+.f64 1/2 (*.f64 1/4 a))) (+.f64 1 (exp.f64 a)))) (*.f64 1/4 a))) |
(+.f64 1/2 (+.f64 (*.f64 -1 (/.f64 (*.f64 b (+.f64 1/2 (*.f64 1/4 a))) (+.f64 1 (exp.f64 a)))) (*.f64 1/4 a))) |
(*.f64 -1 (/.f64 (*.f64 b (+.f64 1/2 (*.f64 1/4 a))) (+.f64 1 (exp.f64 a)))) |
(+.f64 1/2 (+.f64 (*.f64 -1 (/.f64 (*.f64 b (+.f64 1/2 (*.f64 1/4 a))) (+.f64 1 (exp.f64 a)))) (*.f64 1/4 a))) |
(+.f64 1/2 (+.f64 (*.f64 -1 (/.f64 (*.f64 b (+.f64 1/2 (*.f64 1/4 a))) (+.f64 1 (exp.f64 a)))) (*.f64 1/4 a))) |
(+.f64 1/2 (+.f64 (*.f64 -1 (/.f64 (*.f64 b (+.f64 1/2 (*.f64 1/4 a))) (+.f64 1 (exp.f64 a)))) (*.f64 1/4 a))) |
(*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1)) |
(+.f64 (*.f64 a (+.f64 (*.f64 1/8 b) (*.f64 1/4 (+.f64 (*.f64 -1/2 b) 1)))) (*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1))) |
(+.f64 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/16 b) (*.f64 1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))) (+.f64 (*.f64 a (+.f64 (*.f64 1/8 b) (*.f64 1/4 (+.f64 (*.f64 -1/2 b) 1)))) (*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1)))) |
(+.f64 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/16 b) (*.f64 1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))) (+.f64 (*.f64 a (+.f64 (*.f64 1/8 b) (*.f64 1/4 (+.f64 (*.f64 -1/2 b) 1)))) (+.f64 (*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1)) (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/4 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))) (*.f64 1/2 (+.f64 (*.f64 -1/16 b) (+.f64 (*.f64 1/24 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))))))) |
(*.f64 1/4 (*.f64 a (+.f64 1 (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))))) |
(+.f64 (*.f64 1/2 (+.f64 1 (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))))) (*.f64 1/4 (*.f64 a (+.f64 1 (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))))))) |
(+.f64 (*.f64 1/2 (+.f64 1 (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))))) (*.f64 1/4 (*.f64 a (+.f64 1 (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))))))) |
(+.f64 (*.f64 1/2 (+.f64 1 (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))))) (*.f64 1/4 (*.f64 a (+.f64 1 (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))))))) |
(*.f64 1/4 (*.f64 a (+.f64 1 (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))))) |
(+.f64 (*.f64 1/2 (+.f64 1 (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))))) (*.f64 1/4 (*.f64 a (+.f64 1 (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))))))) |
(+.f64 (*.f64 1/2 (+.f64 1 (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))))) (*.f64 1/4 (*.f64 a (+.f64 1 (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))))))) |
(+.f64 (*.f64 1/2 (+.f64 1 (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))))) (*.f64 1/4 (*.f64 a (+.f64 1 (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))))))) |
| Outputs |
|---|
(+.f64 1/2 (*.f64 1/4 a)) |
(fma.f64 1/4 a 1/2) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 b (+.f64 1/2 (*.f64 1/4 a))) (+.f64 1 (exp.f64 a)))) (+.f64 1/2 (*.f64 1/4 a))) |
(fma.f64 -1 (/.f64 b (/.f64 (+.f64 1 (exp.f64 a)) (+.f64 1/2 (*.f64 1/4 a)))) (+.f64 1/2 (*.f64 1/4 a))) |
(-.f64 (fma.f64 1/4 a 1/2) (/.f64 (fma.f64 1/4 a 1/2) (/.f64 (+.f64 1 (exp.f64 a)) b))) |
(*.f64 (fma.f64 1/4 a 1/2) (-.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 b (+.f64 1/2 (*.f64 1/4 a))) (+.f64 1 (exp.f64 a)))) (+.f64 1/2 (*.f64 1/4 a))) |
(fma.f64 -1 (/.f64 b (/.f64 (+.f64 1 (exp.f64 a)) (+.f64 1/2 (*.f64 1/4 a)))) (+.f64 1/2 (*.f64 1/4 a))) |
(-.f64 (fma.f64 1/4 a 1/2) (/.f64 (fma.f64 1/4 a 1/2) (/.f64 (+.f64 1 (exp.f64 a)) b))) |
(*.f64 (fma.f64 1/4 a 1/2) (-.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 b (+.f64 1/2 (*.f64 1/4 a))) (+.f64 1 (exp.f64 a)))) (+.f64 1/2 (*.f64 1/4 a))) |
(fma.f64 -1 (/.f64 b (/.f64 (+.f64 1 (exp.f64 a)) (+.f64 1/2 (*.f64 1/4 a)))) (+.f64 1/2 (*.f64 1/4 a))) |
(-.f64 (fma.f64 1/4 a 1/2) (/.f64 (fma.f64 1/4 a 1/2) (/.f64 (+.f64 1 (exp.f64 a)) b))) |
(*.f64 (fma.f64 1/4 a 1/2) (-.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))) |
(*.f64 -1 (/.f64 (*.f64 b (+.f64 1/2 (*.f64 1/4 a))) (+.f64 1 (exp.f64 a)))) |
(neg.f64 (/.f64 b (/.f64 (+.f64 1 (exp.f64 a)) (+.f64 1/2 (*.f64 1/4 a))))) |
(neg.f64 (/.f64 (fma.f64 1/4 a 1/2) (/.f64 (+.f64 1 (exp.f64 a)) b))) |
(/.f64 (*.f64 (fma.f64 1/4 a 1/2) (neg.f64 b)) (+.f64 1 (exp.f64 a))) |
(*.f64 (fma.f64 1/4 a 1/2) (/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a)))) |
(+.f64 1/2 (+.f64 (*.f64 -1 (/.f64 (*.f64 b (+.f64 1/2 (*.f64 1/4 a))) (+.f64 1 (exp.f64 a)))) (*.f64 1/4 a))) |
(fma.f64 -1 (/.f64 b (/.f64 (+.f64 1 (exp.f64 a)) (+.f64 1/2 (*.f64 1/4 a)))) (+.f64 1/2 (*.f64 1/4 a))) |
(-.f64 (fma.f64 1/4 a 1/2) (/.f64 (fma.f64 1/4 a 1/2) (/.f64 (+.f64 1 (exp.f64 a)) b))) |
(*.f64 (fma.f64 1/4 a 1/2) (-.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))) |
(+.f64 1/2 (+.f64 (*.f64 -1 (/.f64 (*.f64 b (+.f64 1/2 (*.f64 1/4 a))) (+.f64 1 (exp.f64 a)))) (*.f64 1/4 a))) |
(fma.f64 -1 (/.f64 b (/.f64 (+.f64 1 (exp.f64 a)) (+.f64 1/2 (*.f64 1/4 a)))) (+.f64 1/2 (*.f64 1/4 a))) |
(-.f64 (fma.f64 1/4 a 1/2) (/.f64 (fma.f64 1/4 a 1/2) (/.f64 (+.f64 1 (exp.f64 a)) b))) |
(*.f64 (fma.f64 1/4 a 1/2) (-.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))) |
(+.f64 1/2 (+.f64 (*.f64 -1 (/.f64 (*.f64 b (+.f64 1/2 (*.f64 1/4 a))) (+.f64 1 (exp.f64 a)))) (*.f64 1/4 a))) |
(fma.f64 -1 (/.f64 b (/.f64 (+.f64 1 (exp.f64 a)) (+.f64 1/2 (*.f64 1/4 a)))) (+.f64 1/2 (*.f64 1/4 a))) |
(-.f64 (fma.f64 1/4 a 1/2) (/.f64 (fma.f64 1/4 a 1/2) (/.f64 (+.f64 1 (exp.f64 a)) b))) |
(*.f64 (fma.f64 1/4 a 1/2) (-.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))) |
(*.f64 -1 (/.f64 (*.f64 b (+.f64 1/2 (*.f64 1/4 a))) (+.f64 1 (exp.f64 a)))) |
(neg.f64 (/.f64 b (/.f64 (+.f64 1 (exp.f64 a)) (+.f64 1/2 (*.f64 1/4 a))))) |
(neg.f64 (/.f64 (fma.f64 1/4 a 1/2) (/.f64 (+.f64 1 (exp.f64 a)) b))) |
(/.f64 (*.f64 (fma.f64 1/4 a 1/2) (neg.f64 b)) (+.f64 1 (exp.f64 a))) |
(*.f64 (fma.f64 1/4 a 1/2) (/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a)))) |
(+.f64 1/2 (+.f64 (*.f64 -1 (/.f64 (*.f64 b (+.f64 1/2 (*.f64 1/4 a))) (+.f64 1 (exp.f64 a)))) (*.f64 1/4 a))) |
(fma.f64 -1 (/.f64 b (/.f64 (+.f64 1 (exp.f64 a)) (+.f64 1/2 (*.f64 1/4 a)))) (+.f64 1/2 (*.f64 1/4 a))) |
(-.f64 (fma.f64 1/4 a 1/2) (/.f64 (fma.f64 1/4 a 1/2) (/.f64 (+.f64 1 (exp.f64 a)) b))) |
(*.f64 (fma.f64 1/4 a 1/2) (-.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))) |
(+.f64 1/2 (+.f64 (*.f64 -1 (/.f64 (*.f64 b (+.f64 1/2 (*.f64 1/4 a))) (+.f64 1 (exp.f64 a)))) (*.f64 1/4 a))) |
(fma.f64 -1 (/.f64 b (/.f64 (+.f64 1 (exp.f64 a)) (+.f64 1/2 (*.f64 1/4 a)))) (+.f64 1/2 (*.f64 1/4 a))) |
(-.f64 (fma.f64 1/4 a 1/2) (/.f64 (fma.f64 1/4 a 1/2) (/.f64 (+.f64 1 (exp.f64 a)) b))) |
(*.f64 (fma.f64 1/4 a 1/2) (-.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))) |
(+.f64 1/2 (+.f64 (*.f64 -1 (/.f64 (*.f64 b (+.f64 1/2 (*.f64 1/4 a))) (+.f64 1 (exp.f64 a)))) (*.f64 1/4 a))) |
(fma.f64 -1 (/.f64 b (/.f64 (+.f64 1 (exp.f64 a)) (+.f64 1/2 (*.f64 1/4 a)))) (+.f64 1/2 (*.f64 1/4 a))) |
(-.f64 (fma.f64 1/4 a 1/2) (/.f64 (fma.f64 1/4 a 1/2) (/.f64 (+.f64 1 (exp.f64 a)) b))) |
(*.f64 (fma.f64 1/4 a 1/2) (-.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))) |
(*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1)) |
(*.f64 1/2 (fma.f64 -1/2 b 1)) |
(+.f64 1/2 (*.f64 b -1/4)) |
(fma.f64 b -1/4 1/2) |
(+.f64 (*.f64 a (+.f64 (*.f64 1/8 b) (*.f64 1/4 (+.f64 (*.f64 -1/2 b) 1)))) (*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1))) |
(fma.f64 a (fma.f64 1/8 b (*.f64 1/4 (fma.f64 -1/2 b 1))) (*.f64 1/2 (fma.f64 -1/2 b 1))) |
(+.f64 (*.f64 b -1/4) (fma.f64 1/4 a 1/2)) |
(fma.f64 b -1/4 (fma.f64 1/4 a 1/2)) |
(fma.f64 1/4 a (fma.f64 b -1/4 1/2)) |
(+.f64 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/16 b) (*.f64 1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))) (+.f64 (*.f64 a (+.f64 (*.f64 1/8 b) (*.f64 1/4 (+.f64 (*.f64 -1/2 b) 1)))) (*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1)))) |
(fma.f64 (*.f64 a a) (fma.f64 1/16 b (*.f64 1/2 (*.f64 b 0))) (fma.f64 a (fma.f64 1/8 b (*.f64 1/4 (fma.f64 -1/2 b 1))) (*.f64 1/2 (fma.f64 -1/2 b 1)))) |
(fma.f64 (*.f64 a a) (fma.f64 b 1/16 0) (+.f64 (*.f64 b -1/4) (fma.f64 1/4 a 1/2))) |
(fma.f64 1/4 a (fma.f64 a (*.f64 a (*.f64 b 1/16)) (fma.f64 b -1/4 1/2))) |
(fma.f64 1/4 a (fma.f64 (*.f64 a a) (*.f64 b 1/16) (fma.f64 b -1/4 1/2))) |
(+.f64 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/16 b) (*.f64 1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))) (+.f64 (*.f64 a (+.f64 (*.f64 1/8 b) (*.f64 1/4 (+.f64 (*.f64 -1/2 b) 1)))) (+.f64 (*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1)) (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/4 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))) (*.f64 1/2 (+.f64 (*.f64 -1/16 b) (+.f64 (*.f64 1/24 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))))))) |
(fma.f64 (*.f64 a a) (fma.f64 1/16 b (*.f64 1/2 (*.f64 b 0))) (fma.f64 a (fma.f64 1/8 b (*.f64 1/4 (fma.f64 -1/2 b 1))) (fma.f64 1/2 (fma.f64 -1/2 b 1) (*.f64 (pow.f64 a 3) (fma.f64 1/4 (*.f64 b 0) (*.f64 1/2 (fma.f64 -1/16 b (fma.f64 1/24 b (*.f64 -1/2 (*.f64 b 0)))))))))) |
(fma.f64 (*.f64 a a) (fma.f64 b 1/16 0) (fma.f64 1/4 a (fma.f64 (pow.f64 a 3) (fma.f64 1/2 (+.f64 0 (*.f64 b -1/48)) 0) (+.f64 1/2 (*.f64 b -1/4))))) |
(fma.f64 a (*.f64 a (*.f64 b 1/16)) (fma.f64 1/4 a (fma.f64 (pow.f64 a 3) (*.f64 b -1/96) (fma.f64 b -1/4 1/2)))) |
(*.f64 1/4 (*.f64 a (+.f64 1 (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))))) |
(*.f64 (*.f64 1/4 a) (+.f64 1 (neg.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))) |
(*.f64 1/4 (*.f64 a (-.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))))) |
(*.f64 1/4 (-.f64 a (/.f64 (*.f64 a b) (+.f64 1 (exp.f64 a))))) |
(*.f64 1/4 (-.f64 a (/.f64 a (/.f64 (+.f64 1 (exp.f64 a)) b)))) |
(+.f64 (*.f64 1/2 (+.f64 1 (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))))) (*.f64 1/4 (*.f64 a (+.f64 1 (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))))))) |
(fma.f64 -1 (/.f64 b (/.f64 (+.f64 1 (exp.f64 a)) (+.f64 1/2 (*.f64 1/4 a)))) (+.f64 1/2 (*.f64 1/4 a))) |
(-.f64 (fma.f64 1/4 a 1/2) (/.f64 (fma.f64 1/4 a 1/2) (/.f64 (+.f64 1 (exp.f64 a)) b))) |
(*.f64 (fma.f64 1/4 a 1/2) (-.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))) |
(+.f64 (*.f64 1/2 (+.f64 1 (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))))) (*.f64 1/4 (*.f64 a (+.f64 1 (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))))))) |
(fma.f64 -1 (/.f64 b (/.f64 (+.f64 1 (exp.f64 a)) (+.f64 1/2 (*.f64 1/4 a)))) (+.f64 1/2 (*.f64 1/4 a))) |
(-.f64 (fma.f64 1/4 a 1/2) (/.f64 (fma.f64 1/4 a 1/2) (/.f64 (+.f64 1 (exp.f64 a)) b))) |
(*.f64 (fma.f64 1/4 a 1/2) (-.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))) |
(+.f64 (*.f64 1/2 (+.f64 1 (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))))) (*.f64 1/4 (*.f64 a (+.f64 1 (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))))))) |
(fma.f64 -1 (/.f64 b (/.f64 (+.f64 1 (exp.f64 a)) (+.f64 1/2 (*.f64 1/4 a)))) (+.f64 1/2 (*.f64 1/4 a))) |
(-.f64 (fma.f64 1/4 a 1/2) (/.f64 (fma.f64 1/4 a 1/2) (/.f64 (+.f64 1 (exp.f64 a)) b))) |
(*.f64 (fma.f64 1/4 a 1/2) (-.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))) |
(*.f64 1/4 (*.f64 a (+.f64 1 (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))))) |
(*.f64 (*.f64 1/4 a) (+.f64 1 (neg.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))) |
(*.f64 1/4 (*.f64 a (-.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))))) |
(*.f64 1/4 (-.f64 a (/.f64 (*.f64 a b) (+.f64 1 (exp.f64 a))))) |
(*.f64 1/4 (-.f64 a (/.f64 a (/.f64 (+.f64 1 (exp.f64 a)) b)))) |
(+.f64 (*.f64 1/2 (+.f64 1 (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))))) (*.f64 1/4 (*.f64 a (+.f64 1 (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))))))) |
(fma.f64 -1 (/.f64 b (/.f64 (+.f64 1 (exp.f64 a)) (+.f64 1/2 (*.f64 1/4 a)))) (+.f64 1/2 (*.f64 1/4 a))) |
(-.f64 (fma.f64 1/4 a 1/2) (/.f64 (fma.f64 1/4 a 1/2) (/.f64 (+.f64 1 (exp.f64 a)) b))) |
(*.f64 (fma.f64 1/4 a 1/2) (-.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))) |
(+.f64 (*.f64 1/2 (+.f64 1 (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))))) (*.f64 1/4 (*.f64 a (+.f64 1 (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))))))) |
(fma.f64 -1 (/.f64 b (/.f64 (+.f64 1 (exp.f64 a)) (+.f64 1/2 (*.f64 1/4 a)))) (+.f64 1/2 (*.f64 1/4 a))) |
(-.f64 (fma.f64 1/4 a 1/2) (/.f64 (fma.f64 1/4 a 1/2) (/.f64 (+.f64 1 (exp.f64 a)) b))) |
(*.f64 (fma.f64 1/4 a 1/2) (-.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))) |
(+.f64 (*.f64 1/2 (+.f64 1 (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))))) (*.f64 1/4 (*.f64 a (+.f64 1 (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))))))) |
(fma.f64 -1 (/.f64 b (/.f64 (+.f64 1 (exp.f64 a)) (+.f64 1/2 (*.f64 1/4 a)))) (+.f64 1/2 (*.f64 1/4 a))) |
(-.f64 (fma.f64 1/4 a 1/2) (/.f64 (fma.f64 1/4 a 1/2) (/.f64 (+.f64 1 (exp.f64 a)) b))) |
(*.f64 (fma.f64 1/4 a 1/2) (-.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))) |
Compiled 6098 to 4404 computations (27.8% saved)
13 alts after pruning (8 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 306 | 6 | 312 |
| Fresh | 2 | 2 | 4 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 5 | 6 |
| Total | 310 | 13 | 323 |
| Status | Error | Program |
|---|---|---|
| 38.3b | (*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 a 2)) 1) (+.f64 1/2 (*.f64 1/4 a))) | |
| ✓ | 12.3b | (/.f64 1 (+.f64 1 (exp.f64 b))) |
| ▶ | 20.8b | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) |
| 37.5b | (/.f64 1 (expm1.f64 (log1p.f64 2))) | |
| 38.4b | (/.f64 1 (+.f64 b 2)) | |
| ▶ | 45.9b | (/.f64 (exp.f64 a) b) |
| ▶ | 13.5b | (/.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 1 (exp.f64 b)))) 3))) |
| ✓ | 21.3b | (/.f64 (exp.f64 a) 2) |
| ✓ | 38.5b | (*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1)) |
| ✓ | 37.2b | (/.f64 1 2) |
| ▶ | 37.2b | (+.f64 1/2 (*.f64 1/4 a)) |
| ✓ | 1.0b | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| ▶ | 38.4b | (*.f64 (+.f64 (*.f64 b -1/2) 1) (+.f64 1/2 (*.f64 1/4 a))) |
Compiled 194 to 161 computations (17% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 1 (exp.f64 b)))) 3)) |
| ✓ | 0.2b | (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 1 (exp.f64 b)))) 3) |
| ✓ | 0.3b | (cbrt.f64 (log1p.f64 (+.f64 1 (exp.f64 b)))) |
| 0.8b | (log1p.f64 (+.f64 1 (exp.f64 b))) |
Compiled 50 to 36 computations (28% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | b | @ | 0 | (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 1 (exp.f64 b)))) 3) |
| 2.0ms | b | @ | 0 | (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 1 (exp.f64 b)))) 3)) |
| 2.0ms | b | @ | inf | (cbrt.f64 (log1p.f64 (+.f64 1 (exp.f64 b)))) |
| 2.0ms | b | @ | 0 | (cbrt.f64 (log1p.f64 (+.f64 1 (exp.f64 b)))) |
| 2.0ms | b | @ | -inf | (cbrt.f64 (log1p.f64 (+.f64 1 (exp.f64 b)))) |
| 1× | batch-egg-rewrite |
| 718× | pow1_binary64 |
| 675× | add-log-exp_binary64 |
| 674× | expm1-log1p-u_binary64 |
| 673× | log1p-expm1-u_binary64 |
| 659× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 24 |
| 1 | 203 | 24 |
| 2 | 1910 | 24 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (log1p.f64 (+.f64 1 (exp.f64 b)))) |
(pow.f64 (cbrt.f64 (log1p.f64 (+.f64 1 (exp.f64 b)))) 3) |
(expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 1 (exp.f64 b)))) 3)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (log.f64 (+.f64 2 (exp.f64 b))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (log.f64 (+.f64 2 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (+.f64 2 (exp.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 2 (exp.f64 b))))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 2 (exp.f64 b))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 2 (exp.f64 b))))) (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 (exp.f64 b)))) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 2 (exp.f64 b))))) 2) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 2 (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 (+.f64 2 (exp.f64 b))) 1/6) (pow.f64 (log.f64 (+.f64 2 (exp.f64 b))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (log.f64 (+.f64 2 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 (exp.f64 b)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 2 (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (log.f64 (+.f64 2 (exp.f64 b)))) 1/3) (pow.f64 (sqrt.f64 (log.f64 (+.f64 2 (exp.f64 b)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 2 (exp.f64 b))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (+.f64 2 (exp.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 2 (exp.f64 b))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (+.f64 2 (exp.f64 b))) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 (exp.f64 b)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (log.f64 (+.f64 2 (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (log.f64 (+.f64 2 (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (log.f64 (+.f64 2 (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 2 (exp.f64 b)))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (+.f64 2 (exp.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (+.f64 2 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 2 (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (+.f64 2 (exp.f64 b)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 (exp.f64 b)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 (exp.f64 b)))) 2) (cbrt.f64 (log.f64 (+.f64 2 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 2 (exp.f64 b))))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 2 (exp.f64 b))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 (exp.f64 b)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (+.f64 2 (exp.f64 b)))) (sqrt.f64 (log.f64 (+.f64 2 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 (+.f64 2 (exp.f64 b))) 1/6) (*.f64 (pow.f64 (log.f64 (+.f64 2 (exp.f64 b))) 1/6) (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 (exp.f64 b)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 2 (exp.f64 b))))) 2) 3) (cbrt.f64 (log.f64 (+.f64 2 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 2 (exp.f64 b))) 1/6) 3) (pow.f64 (pow.f64 (log.f64 (+.f64 2 (exp.f64 b))) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 (exp.f64 b)))) 2) 1) (cbrt.f64 (log.f64 (+.f64 2 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 (exp.f64 b)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 2 (exp.f64 b))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 2 (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 (exp.f64 b)))) 2) (pow.f64 (log.f64 (+.f64 2 (exp.f64 b))) 1/6)) (pow.f64 (log.f64 (+.f64 2 (exp.f64 b))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (+.f64 2 (exp.f64 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 2 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (+.f64 2 (exp.f64 b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (+.f64 2 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (+.f64 1 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (+.f64 2 (exp.f64 b))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (exp.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 2 (exp.f64 b)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 2 (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 b) 2) (-.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 (sqrt.f64 (+.f64 1 (exp.f64 b))) (sqrt.f64 (+.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (/.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 (pow.f64 (exp.f64 b) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (exp.f64 b)) (-.f64 1 (pow.f64 (exp.f64 b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (+.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.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 (pow.f64 (exp.f64 b) 2))) (neg.f64 (-.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 2 (exp.f64 b)) 3) 1) (+.f64 (*.f64 (+.f64 2 (exp.f64 b)) (+.f64 2 (exp.f64 b))) (+.f64 1 (*.f64 (+.f64 2 (exp.f64 b)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 2 (exp.f64 b)) (+.f64 2 (exp.f64 b))) 1) (+.f64 (+.f64 2 (exp.f64 b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 b) 2) 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 (sqrt.f64 (+.f64 1 (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 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 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 (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (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 |
| 693× | associate-+l+_binary64 |
| 637× | associate-+r+_binary64 |
| 557× | distribute-rgt-in_binary64 |
| 555× | distribute-lft-in_binary64 |
| 391× | *-commutative_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 137 | 2361 |
| 1 | 454 | 2275 |
| 2 | 1667 | 2236 |
| 3 | 7153 | 2225 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (log.f64 3) 1/3) |
(+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 2)) 1/9) b)) (pow.f64 (log.f64 3) 1/3)) |
(+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 2)) 1/9) b)) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 2)) 1/3) (*.f64 (-.f64 1/9 (*.f64 1/27 (pow.f64 (/.f64 1 (log.f64 3)) 1/9))) (pow.f64 b 2)))) (pow.f64 (log.f64 3) 1/3))) |
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 2)) 1/3) (*.f64 (-.f64 1/81 (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 5)) 1/9) (-.f64 1/9 (*.f64 1/27 (pow.f64 (/.f64 1 (log.f64 3)) 1/9))))) (*.f64 1/729 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 2)) 1/3)))) (pow.f64 b 3)))) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 2)) 1/9) b)) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 2)) 1/3) (*.f64 (-.f64 1/9 (*.f64 1/27 (pow.f64 (/.f64 1 (log.f64 3)) 1/9))) (pow.f64 b 2)))) (pow.f64 (log.f64 3) 1/3)))) |
(pow.f64 (log.f64 (+.f64 2 (exp.f64 b))) 1/3) |
(pow.f64 (log.f64 (+.f64 2 (exp.f64 b))) 1/3) |
(pow.f64 (log.f64 (+.f64 2 (exp.f64 b))) 1/3) |
(pow.f64 (log.f64 (+.f64 2 (exp.f64 b))) 1/3) |
(pow.f64 (log.f64 (+.f64 2 (exp.f64 b))) 1/3) |
(pow.f64 (log.f64 (+.f64 2 (exp.f64 b))) 1/3) |
(pow.f64 (log.f64 (+.f64 2 (exp.f64 b))) 1/3) |
(pow.f64 (log.f64 (+.f64 2 (exp.f64 b))) 1/3) |
(*.f64 (pow.f64 1 1/3) (log.f64 3)) |
(+.f64 (*.f64 (+.f64 (*.f64 2/9 (pow.f64 (*.f64 1 (pow.f64 (log.f64 3) 4)) 1/9)) (*.f64 1/9 (pow.f64 (*.f64 1 (pow.f64 (log.f64 3) 4)) 1/9))) b) (*.f64 (pow.f64 1 1/3) (log.f64 3))) |
(+.f64 (*.f64 (pow.f64 b 2) (+.f64 (*.f64 (+.f64 (*.f64 1/81 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 4)) 1/9)) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 3)) 1/3) (-.f64 1/9 (*.f64 1/27 (pow.f64 (/.f64 1 (log.f64 3)) 1/9)))))) (pow.f64 (*.f64 1 (log.f64 3)) 1/3)) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 1/9 (*.f64 1/27 (pow.f64 (/.f64 1 (log.f64 3)) 1/9))))) (*.f64 2/81 (pow.f64 (/.f64 1 (log.f64 3)) 1/9))))) (+.f64 (*.f64 (+.f64 (*.f64 2/9 (pow.f64 (*.f64 1 (pow.f64 (log.f64 3) 4)) 1/9)) (*.f64 1/9 (pow.f64 (*.f64 1 (pow.f64 (log.f64 3) 4)) 1/9))) b) (*.f64 (pow.f64 1 1/3) (log.f64 3)))) |
(+.f64 (*.f64 (pow.f64 b 2) (+.f64 (*.f64 (+.f64 (*.f64 1/81 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 4)) 1/9)) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 3)) 1/3) (-.f64 1/9 (*.f64 1/27 (pow.f64 (/.f64 1 (log.f64 3)) 1/9)))))) (pow.f64 (*.f64 1 (log.f64 3)) 1/3)) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 1/9 (*.f64 1/27 (pow.f64 (/.f64 1 (log.f64 3)) 1/9))))) (*.f64 2/81 (pow.f64 (/.f64 1 (log.f64 3)) 1/9))))) (+.f64 (*.f64 (+.f64 (*.f64 2/9 (pow.f64 (*.f64 1 (pow.f64 (log.f64 3) 4)) 1/9)) (*.f64 1/9 (pow.f64 (*.f64 1 (pow.f64 (log.f64 3) 4)) 1/9))) b) (+.f64 (*.f64 (pow.f64 1 1/3) (log.f64 3)) (*.f64 (pow.f64 b 3) (+.f64 (*.f64 (pow.f64 (*.f64 1 (log.f64 3)) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 3)) 1/3) (-.f64 1/81 (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 5)) 1/9) (-.f64 1/9 (*.f64 1/27 (pow.f64 (/.f64 1 (log.f64 3)) 1/9))))) (*.f64 1/729 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 2)) 1/3)))))) (*.f64 2/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 8)) 1/9) (-.f64 1/9 (*.f64 1/27 (pow.f64 (/.f64 1 (log.f64 3)) 1/9))))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 1/81 (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 5)) 1/9) (-.f64 1/9 (*.f64 1/27 (pow.f64 (/.f64 1 (log.f64 3)) 1/9))))) (*.f64 1/729 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 2)) 1/3)))))) (+.f64 (*.f64 1/9 (*.f64 (+.f64 (*.f64 1/81 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 4)) 1/9)) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 3)) 1/3) (-.f64 1/9 (*.f64 1/27 (pow.f64 (/.f64 1 (log.f64 3)) 1/9)))))) (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 2)) 1/9))) (*.f64 2/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 5)) 1/9) (-.f64 1/9 (*.f64 1/27 (pow.f64 (/.f64 1 (log.f64 3)) 1/9)))))))))))) |
(*.f64 (pow.f64 1 1/3) (log.f64 (+.f64 2 (exp.f64 b)))) |
(*.f64 (pow.f64 1 1/3) (log.f64 (+.f64 2 (exp.f64 b)))) |
(*.f64 (pow.f64 1 1/3) (log.f64 (+.f64 2 (exp.f64 b)))) |
(*.f64 (pow.f64 1 1/3) (log.f64 (+.f64 2 (exp.f64 b)))) |
(*.f64 (pow.f64 1 1/3) (log.f64 (+.f64 2 (exp.f64 b)))) |
(*.f64 (pow.f64 1 1/3) (log.f64 (+.f64 2 (exp.f64 b)))) |
(*.f64 (pow.f64 1 1/3) (log.f64 (+.f64 2 (exp.f64 b)))) |
(*.f64 (pow.f64 1 1/3) (log.f64 (+.f64 2 (exp.f64 b)))) |
(-.f64 (pow.f64 3 (pow.f64 1 1/3)) 1) |
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 2/9 (pow.f64 (*.f64 1 (pow.f64 (log.f64 3) 4)) 1/9)) (*.f64 1/9 (pow.f64 (*.f64 1 (pow.f64 (log.f64 3) 4)) 1/9))) (*.f64 b (pow.f64 3 (pow.f64 1 1/3)))) (pow.f64 3 (pow.f64 1 1/3))) 1) |
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 2/9 (pow.f64 (*.f64 1 (pow.f64 (log.f64 3) 4)) 1/9)) (*.f64 1/9 (pow.f64 (*.f64 1 (pow.f64 (log.f64 3) 4)) 1/9))) (*.f64 b (pow.f64 3 (pow.f64 1 1/3)))) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 1/81 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 4)) 1/9)) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 3)) 1/3) (-.f64 1/9 (*.f64 1/27 (pow.f64 (/.f64 1 (log.f64 3)) 1/9)))))) (pow.f64 (*.f64 1 (log.f64 3)) 1/3)) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 1/9 (*.f64 1/27 (pow.f64 (/.f64 1 (log.f64 3)) 1/9))))) (+.f64 (*.f64 2/81 (pow.f64 (/.f64 1 (log.f64 3)) 1/9)) (*.f64 1/2 (pow.f64 (+.f64 (*.f64 2/9 (pow.f64 (*.f64 1 (pow.f64 (log.f64 3) 4)) 1/9)) (*.f64 1/9 (pow.f64 (*.f64 1 (pow.f64 (log.f64 3) 4)) 1/9))) 2))))) (*.f64 (pow.f64 b 2) (pow.f64 3 (pow.f64 1 1/3)))) (pow.f64 3 (pow.f64 1 1/3)))) 1) |
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 2/9 (pow.f64 (*.f64 1 (pow.f64 (log.f64 3) 4)) 1/9)) (*.f64 1/9 (pow.f64 (*.f64 1 (pow.f64 (log.f64 3) 4)) 1/9))) (*.f64 b (pow.f64 3 (pow.f64 1 1/3)))) (+.f64 (*.f64 (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (*.f64 2/9 (pow.f64 (*.f64 1 (pow.f64 (log.f64 3) 4)) 1/9)) (*.f64 1/9 (pow.f64 (*.f64 1 (pow.f64 (log.f64 3) 4)) 1/9))) 3)) (+.f64 (*.f64 (pow.f64 (*.f64 1 (log.f64 3)) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 3)) 1/3) (-.f64 1/81 (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 5)) 1/9) (-.f64 1/9 (*.f64 1/27 (pow.f64 (/.f64 1 (log.f64 3)) 1/9))))) (*.f64 1/729 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 2)) 1/3)))))) (*.f64 2/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 8)) 1/9) (-.f64 1/9 (*.f64 1/27 (pow.f64 (/.f64 1 (log.f64 3)) 1/9))))))) (+.f64 (*.f64 (+.f64 (*.f64 2/9 (pow.f64 (*.f64 1 (pow.f64 (log.f64 3) 4)) 1/9)) (*.f64 1/9 (pow.f64 (*.f64 1 (pow.f64 (log.f64 3) 4)) 1/9))) (+.f64 (*.f64 (+.f64 (*.f64 1/81 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 4)) 1/9)) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 3)) 1/3) (-.f64 1/9 (*.f64 1/27 (pow.f64 (/.f64 1 (log.f64 3)) 1/9)))))) (pow.f64 (*.f64 1 (log.f64 3)) 1/3)) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 1/9 (*.f64 1/27 (pow.f64 (/.f64 1 (log.f64 3)) 1/9))))) (*.f64 2/81 (pow.f64 (/.f64 1 (log.f64 3)) 1/9))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 1/81 (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 5)) 1/9) (-.f64 1/9 (*.f64 1/27 (pow.f64 (/.f64 1 (log.f64 3)) 1/9))))) (*.f64 1/729 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 2)) 1/3)))))) (+.f64 (*.f64 1/9 (*.f64 (+.f64 (*.f64 1/81 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 4)) 1/9)) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 3)) 1/3) (-.f64 1/9 (*.f64 1/27 (pow.f64 (/.f64 1 (log.f64 3)) 1/9)))))) (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 2)) 1/9))) (*.f64 2/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 5)) 1/9) (-.f64 1/9 (*.f64 1/27 (pow.f64 (/.f64 1 (log.f64 3)) 1/9)))))))))) (*.f64 (pow.f64 b 3) (pow.f64 3 (pow.f64 1 1/3)))) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 1/81 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 4)) 1/9)) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 3)) 1/3) (-.f64 1/9 (*.f64 1/27 (pow.f64 (/.f64 1 (log.f64 3)) 1/9)))))) (pow.f64 (*.f64 1 (log.f64 3)) 1/3)) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 1/9 (*.f64 1/27 (pow.f64 (/.f64 1 (log.f64 3)) 1/9))))) (+.f64 (*.f64 2/81 (pow.f64 (/.f64 1 (log.f64 3)) 1/9)) (*.f64 1/2 (pow.f64 (+.f64 (*.f64 2/9 (pow.f64 (*.f64 1 (pow.f64 (log.f64 3) 4)) 1/9)) (*.f64 1/9 (pow.f64 (*.f64 1 (pow.f64 (log.f64 3) 4)) 1/9))) 2))))) (*.f64 (pow.f64 b 2) (pow.f64 3 (pow.f64 1 1/3)))) (pow.f64 3 (pow.f64 1 1/3))))) 1) |
(-.f64 (exp.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 2 (exp.f64 b))) 3) 1/3)) 1) |
(-.f64 (exp.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 2 (exp.f64 b))) 3) 1/3)) 1) |
(-.f64 (exp.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 2 (exp.f64 b))) 3) 1/3)) 1) |
(-.f64 (exp.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 2 (exp.f64 b))) 3) 1/3)) 1) |
(-.f64 (pow.f64 (+.f64 2 (exp.f64 b)) (pow.f64 1 1/3)) 1) |
(-.f64 (pow.f64 (+.f64 2 (exp.f64 b)) (pow.f64 1 1/3)) 1) |
(-.f64 (pow.f64 (+.f64 2 (exp.f64 b)) (pow.f64 1 1/3)) 1) |
(-.f64 (pow.f64 (+.f64 2 (exp.f64 b)) (pow.f64 1 1/3)) 1) |
| Outputs |
|---|
(pow.f64 (log.f64 3) 1/3) |
(cbrt.f64 (log.f64 3)) |
(+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 2)) 1/9) b)) (pow.f64 (log.f64 3) 1/3)) |
(fma.f64 1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 2)) 1/18)) b) (cbrt.f64 (log.f64 3))) |
(+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 2)) 1/9) b)) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 2)) 1/3) (*.f64 (-.f64 1/9 (*.f64 1/27 (pow.f64 (/.f64 1 (log.f64 3)) 1/9))) (pow.f64 b 2)))) (pow.f64 (log.f64 3) 1/3))) |
(fma.f64 1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 2)) 1/18)) b) (fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 3) 2))) (*.f64 (+.f64 1/9 (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (log.f64 3)) 1/18) (pow.f64 (/.f64 1 (log.f64 3)) 1/18)))) (*.f64 b b))) (cbrt.f64 (log.f64 3)))) |
(fma.f64 1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 2)) 1/18)) b) (fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 3) 2))) (*.f64 (+.f64 1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 3)) 1/18) (pow.f64 (/.f64 1 (log.f64 3)) 1/18)) -1/27)) (*.f64 b b))) (cbrt.f64 (log.f64 3)))) |
(fma.f64 1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 2)) 1/18)) b) (fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 3) 2))) (*.f64 (-.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (log.f64 3)) 1/18) (*.f64 1/27 (pow.f64 (/.f64 1 (log.f64 3)) 1/18)))) (*.f64 b b))) (cbrt.f64 (log.f64 3)))) |
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 2)) 1/3) (*.f64 (-.f64 1/81 (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 5)) 1/9) (-.f64 1/9 (*.f64 1/27 (pow.f64 (/.f64 1 (log.f64 3)) 1/9))))) (*.f64 1/729 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 2)) 1/3)))) (pow.f64 b 3)))) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 2)) 1/9) b)) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 2)) 1/3) (*.f64 (-.f64 1/9 (*.f64 1/27 (pow.f64 (/.f64 1 (log.f64 3)) 1/9))) (pow.f64 b 2)))) (pow.f64 (log.f64 3) 1/3)))) |
(fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 3) 2))) (*.f64 (-.f64 1/81 (fma.f64 2/9 (*.f64 (+.f64 1/9 (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (log.f64 3)) 1/18) (pow.f64 (/.f64 1 (log.f64 3)) 1/18)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 5)) 1/18))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 3) 2))) 1/729))) (pow.f64 b 3))) (fma.f64 1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 2)) 1/18)) b) (fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 3) 2))) (*.f64 (+.f64 1/9 (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (log.f64 3)) 1/18) (pow.f64 (/.f64 1 (log.f64 3)) 1/18)))) (*.f64 b b))) (cbrt.f64 (log.f64 3))))) |
(fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 3) 2))) (*.f64 (-.f64 1/81 (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 3) 2))) 1/729 (*.f64 (+.f64 1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 3)) 1/18) (pow.f64 (/.f64 1 (log.f64 3)) 1/18)) -1/27)) (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 5)) 1/18)))))) (pow.f64 b 3))) (fma.f64 1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 2)) 1/18)) b) (fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 3) 2))) (*.f64 (+.f64 1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 3)) 1/18) (pow.f64 (/.f64 1 (log.f64 3)) 1/18)) -1/27)) (*.f64 b b))) (cbrt.f64 (log.f64 3))))) |
(fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 3) 2))) (*.f64 (-.f64 1/81 (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 3) 2))) 1/729 (*.f64 (-.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (log.f64 3)) 1/18) (*.f64 1/27 (pow.f64 (/.f64 1 (log.f64 3)) 1/18)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 5)) 1/18) (*.f64 2/9 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 5)) 1/18)))))) (pow.f64 b 3))) (fma.f64 1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 2)) 1/18)) b) (fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 3) 2))) (*.f64 (-.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (log.f64 3)) 1/18) (*.f64 1/27 (pow.f64 (/.f64 1 (log.f64 3)) 1/18)))) (*.f64 b b))) (cbrt.f64 (log.f64 3))))) |
(fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 3) 2))) (*.f64 (+.f64 1/81 (fma.f64 (-.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (log.f64 3)) 1/18) (*.f64 1/27 (pow.f64 (/.f64 1 (log.f64 3)) 1/18)))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 5)) 1/18)) -2/9) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 3) 2))) -1/729))) (pow.f64 b 3))) (fma.f64 1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 2)) 1/18)) b) (fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 3) 2))) (*.f64 (-.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (log.f64 3)) 1/18) (*.f64 1/27 (pow.f64 (/.f64 1 (log.f64 3)) 1/18)))) (*.f64 b b))) (cbrt.f64 (log.f64 3))))) |
(pow.f64 (log.f64 (+.f64 2 (exp.f64 b))) 1/3) |
(cbrt.f64 (log.f64 (+.f64 2 (exp.f64 b)))) |
(pow.f64 (log.f64 (+.f64 2 (exp.f64 b))) 1/3) |
(cbrt.f64 (log.f64 (+.f64 2 (exp.f64 b)))) |
(pow.f64 (log.f64 (+.f64 2 (exp.f64 b))) 1/3) |
(cbrt.f64 (log.f64 (+.f64 2 (exp.f64 b)))) |
(pow.f64 (log.f64 (+.f64 2 (exp.f64 b))) 1/3) |
(cbrt.f64 (log.f64 (+.f64 2 (exp.f64 b)))) |
(pow.f64 (log.f64 (+.f64 2 (exp.f64 b))) 1/3) |
(cbrt.f64 (log.f64 (+.f64 2 (exp.f64 b)))) |
(pow.f64 (log.f64 (+.f64 2 (exp.f64 b))) 1/3) |
(cbrt.f64 (log.f64 (+.f64 2 (exp.f64 b)))) |
(pow.f64 (log.f64 (+.f64 2 (exp.f64 b))) 1/3) |
(cbrt.f64 (log.f64 (+.f64 2 (exp.f64 b)))) |
(pow.f64 (log.f64 (+.f64 2 (exp.f64 b))) 1/3) |
(cbrt.f64 (log.f64 (+.f64 2 (exp.f64 b)))) |
(*.f64 (pow.f64 1 1/3) (log.f64 3)) |
(log.f64 3) |
(+.f64 (*.f64 (+.f64 (*.f64 2/9 (pow.f64 (*.f64 1 (pow.f64 (log.f64 3) 4)) 1/9)) (*.f64 1/9 (pow.f64 (*.f64 1 (pow.f64 (log.f64 3) 4)) 1/9))) b) (*.f64 (pow.f64 1 1/3) (log.f64 3))) |
(fma.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 3) 4) 1/18) (pow.f64 (pow.f64 (log.f64 3) 4) 1/18)) 1/3) b (log.f64 3)) |
(fma.f64 b (*.f64 1/3 (*.f64 (pow.f64 (pow.f64 (log.f64 3) 4) 1/18) (pow.f64 (pow.f64 (log.f64 3) 4) 1/18))) (log.f64 3)) |
(+.f64 (*.f64 (pow.f64 b 2) (+.f64 (*.f64 (+.f64 (*.f64 1/81 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 4)) 1/9)) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 3)) 1/3) (-.f64 1/9 (*.f64 1/27 (pow.f64 (/.f64 1 (log.f64 3)) 1/9)))))) (pow.f64 (*.f64 1 (log.f64 3)) 1/3)) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 1/9 (*.f64 1/27 (pow.f64 (/.f64 1 (log.f64 3)) 1/9))))) (*.f64 2/81 (pow.f64 (/.f64 1 (log.f64 3)) 1/9))))) (+.f64 (*.f64 (+.f64 (*.f64 2/9 (pow.f64 (*.f64 1 (pow.f64 (log.f64 3) 4)) 1/9)) (*.f64 1/9 (pow.f64 (*.f64 1 (pow.f64 (log.f64 3) 4)) 1/9))) b) (*.f64 (pow.f64 1 1/3) (log.f64 3)))) |
(fma.f64 (*.f64 b b) (fma.f64 (fma.f64 1/81 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 4)) 1/18)) (*.f64 2/3 (*.f64 (+.f64 1/9 (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (log.f64 3)) 1/18) (pow.f64 (/.f64 1 (log.f64 3)) 1/18)))) (cbrt.f64 (/.f64 1 (log.f64 3)))))) (cbrt.f64 (log.f64 3)) (+.f64 (*.f64 1/3 (+.f64 1/9 (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (log.f64 3)) 1/18) (pow.f64 (/.f64 1 (log.f64 3)) 1/18))))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 3)) 1/18) (pow.f64 (/.f64 1 (log.f64 3)) 1/18)) 2/81))) (fma.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 3) 4) 1/18) (pow.f64 (pow.f64 (log.f64 3) 4) 1/18)) 1/3) b (log.f64 3))) |
(fma.f64 (*.f64 b b) (fma.f64 (fma.f64 1/81 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 4)) 1/18)) (*.f64 (+.f64 1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 3)) 1/18) (pow.f64 (/.f64 1 (log.f64 3)) 1/18)) -1/27)) (*.f64 2/3 (cbrt.f64 (/.f64 1 (log.f64 3)))))) (cbrt.f64 (log.f64 3)) (fma.f64 1/3 (+.f64 1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 3)) 1/18) (pow.f64 (/.f64 1 (log.f64 3)) 1/18)) -1/27)) (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 3)) 1/18) (pow.f64 (/.f64 1 (log.f64 3)) 1/18)) 2/81))) (fma.f64 b (*.f64 1/3 (*.f64 (pow.f64 (pow.f64 (log.f64 3) 4) 1/18) (pow.f64 (pow.f64 (log.f64 3) 4) 1/18))) (log.f64 3))) |
(fma.f64 (*.f64 b b) (fma.f64 (fma.f64 2/3 (*.f64 (-.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (log.f64 3)) 1/18) (*.f64 1/27 (pow.f64 (/.f64 1 (log.f64 3)) 1/18)))) (cbrt.f64 (/.f64 1 (log.f64 3)))) (*.f64 1/81 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 4)) 1/18)))) (cbrt.f64 (log.f64 3)) (fma.f64 1/3 (-.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (log.f64 3)) 1/18) (*.f64 1/27 (pow.f64 (/.f64 1 (log.f64 3)) 1/18)))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 3)) 1/18) (pow.f64 (/.f64 1 (log.f64 3)) 1/18)) 2/81))) (fma.f64 b (*.f64 1/3 (*.f64 (pow.f64 (pow.f64 (log.f64 3) 4) 1/18) (pow.f64 (pow.f64 (log.f64 3) 4) 1/18))) (log.f64 3))) |
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(fma.f64 (*.f64 b b) (fma.f64 (fma.f64 2/3 (*.f64 (-.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (log.f64 3)) 1/18) (*.f64 1/27 (pow.f64 (/.f64 1 (log.f64 3)) 1/18)))) (cbrt.f64 (/.f64 1 (log.f64 3)))) (*.f64 1/81 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 4)) 1/18)))) (cbrt.f64 (log.f64 3)) (fma.f64 1/3 (-.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (log.f64 3)) 1/18) (*.f64 1/27 (pow.f64 (/.f64 1 (log.f64 3)) 1/18)))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 3)) 1/18) (pow.f64 (/.f64 1 (log.f64 3)) 1/18)) 2/81))) (fma.f64 b (*.f64 1/3 (*.f64 (pow.f64 (pow.f64 (log.f64 3) 4) 1/18) (pow.f64 (pow.f64 (log.f64 3) 4) 1/18))) (fma.f64 (pow.f64 b 3) (fma.f64 (cbrt.f64 (log.f64 3)) (fma.f64 2/27 (*.f64 (-.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (log.f64 3)) 1/18) (*.f64 1/27 (pow.f64 (/.f64 1 (log.f64 3)) 1/18)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 8)) 1/18))) (*.f64 (+.f64 1/81 (fma.f64 (-.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (log.f64 3)) 1/18) (*.f64 1/27 (pow.f64 (/.f64 1 (log.f64 3)) 1/18)))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 5)) 1/18)) -2/9) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 3) 2))) -1/729))) (*.f64 2/3 (cbrt.f64 (/.f64 1 (log.f64 3)))))) (fma.f64 1/3 (+.f64 1/81 (fma.f64 (-.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (log.f64 3)) 1/18) (*.f64 1/27 (pow.f64 (/.f64 1 (log.f64 3)) 1/18)))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 5)) 1/18)) -2/9) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 3) 2))) -1/729))) (fma.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 5)) 1/18) (*.f64 (-.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (log.f64 3)) 1/18) (*.f64 1/27 (pow.f64 (/.f64 1 (log.f64 3)) 1/18)))) (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 5)) 1/18))) 2/27 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 2)) 1/18)) (*.f64 1/9 (fma.f64 2/3 (*.f64 (-.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (log.f64 3)) 1/18) (*.f64 1/27 (pow.f64 (/.f64 1 (log.f64 3)) 1/18)))) (cbrt.f64 (/.f64 1 (log.f64 3)))) (*.f64 1/81 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 4)) 1/18))))))))) (log.f64 3)))) |
(*.f64 (pow.f64 1 1/3) (log.f64 (+.f64 2 (exp.f64 b)))) |
(*.f64 1 (log.f64 (+.f64 2 (exp.f64 b)))) |
(log.f64 (+.f64 2 (exp.f64 b))) |
(*.f64 (pow.f64 1 1/3) (log.f64 (+.f64 2 (exp.f64 b)))) |
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(log.f64 (+.f64 2 (exp.f64 b))) |
(*.f64 (pow.f64 1 1/3) (log.f64 (+.f64 2 (exp.f64 b)))) |
(*.f64 1 (log.f64 (+.f64 2 (exp.f64 b)))) |
(log.f64 (+.f64 2 (exp.f64 b))) |
(*.f64 (pow.f64 1 1/3) (log.f64 (+.f64 2 (exp.f64 b)))) |
(*.f64 1 (log.f64 (+.f64 2 (exp.f64 b)))) |
(log.f64 (+.f64 2 (exp.f64 b))) |
(*.f64 (pow.f64 1 1/3) (log.f64 (+.f64 2 (exp.f64 b)))) |
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(log.f64 (+.f64 2 (exp.f64 b))) |
(*.f64 (pow.f64 1 1/3) (log.f64 (+.f64 2 (exp.f64 b)))) |
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(log.f64 (+.f64 2 (exp.f64 b))) |
(*.f64 (pow.f64 1 1/3) (log.f64 (+.f64 2 (exp.f64 b)))) |
(*.f64 1 (log.f64 (+.f64 2 (exp.f64 b)))) |
(log.f64 (+.f64 2 (exp.f64 b))) |
(*.f64 (pow.f64 1 1/3) (log.f64 (+.f64 2 (exp.f64 b)))) |
(*.f64 1 (log.f64 (+.f64 2 (exp.f64 b)))) |
(log.f64 (+.f64 2 (exp.f64 b))) |
(-.f64 (pow.f64 3 (pow.f64 1 1/3)) 1) |
2 |
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(+.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 3) 4) 1/18) (pow.f64 (pow.f64 (log.f64 3) 4) 1/18)) 1/3) (*.f64 b 3)) 2) |
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(+.f64 (*.f64 3 (+.f64 (*.f64 1/3 (*.f64 b (*.f64 (pow.f64 (pow.f64 (log.f64 3) 4) 1/18) (pow.f64 (pow.f64 (log.f64 3) 4) 1/18)))) (*.f64 (*.f64 b b) (+.f64 (*.f64 b (fma.f64 1/6 (*.f64 1/27 (pow.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 3) 4) 1/18) (pow.f64 (pow.f64 (log.f64 3) 4) 1/18)) 3)) (fma.f64 (cbrt.f64 (log.f64 3)) (fma.f64 2/27 (*.f64 (-.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (log.f64 3)) 1/18) (*.f64 1/27 (pow.f64 (/.f64 1 (log.f64 3)) 1/18)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 8)) 1/18))) (*.f64 (-.f64 1/81 (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 3) 2))) 1/729 (*.f64 (-.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (log.f64 3)) 1/18) (*.f64 1/27 (pow.f64 (/.f64 1 (log.f64 3)) 1/18)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 5)) 1/18) (*.f64 2/9 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 5)) 1/18)))))) (*.f64 2/3 (cbrt.f64 (/.f64 1 (log.f64 3)))))) (fma.f64 (*.f64 1/3 (*.f64 (pow.f64 (pow.f64 (log.f64 3) 4) 1/18) (pow.f64 (pow.f64 (log.f64 3) 4) 1/18))) (fma.f64 (fma.f64 2/3 (*.f64 (-.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (log.f64 3)) 1/18) (*.f64 1/27 (pow.f64 (/.f64 1 (log.f64 3)) 1/18)))) (cbrt.f64 (/.f64 1 (log.f64 3)))) (*.f64 1/81 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 4)) 1/18)))) (cbrt.f64 (log.f64 3)) (fma.f64 1/3 (-.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (log.f64 3)) 1/18) (*.f64 1/27 (pow.f64 (/.f64 1 (log.f64 3)) 1/18)))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 3)) 1/18) (pow.f64 (/.f64 1 (log.f64 3)) 1/18)) 2/81))) (fma.f64 1/3 (-.f64 1/81 (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 3) 2))) 1/729 (*.f64 (-.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (log.f64 3)) 1/18) (*.f64 1/27 (pow.f64 (/.f64 1 (log.f64 3)) 1/18)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 5)) 1/18) (*.f64 2/9 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 5)) 1/18)))))) (fma.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 5)) 1/18) (*.f64 (-.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (log.f64 3)) 1/18) (*.f64 1/27 (pow.f64 (/.f64 1 (log.f64 3)) 1/18)))) (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 5)) 1/18))) 2/27 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 2)) 1/18)) (*.f64 1/9 (fma.f64 2/3 (*.f64 (-.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (log.f64 3)) 1/18) (*.f64 1/27 (pow.f64 (/.f64 1 (log.f64 3)) 1/18)))) (cbrt.f64 (/.f64 1 (log.f64 3)))) (*.f64 1/81 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 4)) 1/18)))))))))))) (fma.f64 (fma.f64 2/3 (*.f64 (-.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (log.f64 3)) 1/18) (*.f64 1/27 (pow.f64 (/.f64 1 (log.f64 3)) 1/18)))) (cbrt.f64 (/.f64 1 (log.f64 3)))) (*.f64 1/81 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 4)) 1/18)))) (cbrt.f64 (log.f64 3)) (fma.f64 1/3 (-.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (log.f64 3)) 1/18) (*.f64 1/27 (pow.f64 (/.f64 1 (log.f64 3)) 1/18)))) (fma.f64 1/2 (pow.f64 (*.f64 1/3 (*.f64 (pow.f64 (pow.f64 (log.f64 3) 4) 1/18) (pow.f64 (pow.f64 (log.f64 3) 4) 1/18))) 2) (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 3)) 1/18) (pow.f64 (/.f64 1 (log.f64 3)) 1/18)) 2/81)))))))) 2) |
(+.f64 (*.f64 3 (+.f64 (*.f64 1/3 (*.f64 b (*.f64 (pow.f64 (pow.f64 (log.f64 3) 4) 1/18) (pow.f64 (pow.f64 (log.f64 3) 4) 1/18)))) (*.f64 (*.f64 b b) (+.f64 (*.f64 b (fma.f64 1/6 (*.f64 1/27 (pow.f64 (pow.f64 (pow.f64 (log.f64 3) 4) 1/18) 6)) (fma.f64 (cbrt.f64 (log.f64 3)) (fma.f64 2/27 (*.f64 (-.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (log.f64 3)) 1/18) (*.f64 1/27 (pow.f64 (/.f64 1 (log.f64 3)) 1/18)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 8)) 1/18))) (*.f64 (+.f64 1/81 (fma.f64 (-.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (log.f64 3)) 1/18) (*.f64 1/27 (pow.f64 (/.f64 1 (log.f64 3)) 1/18)))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 5)) 1/18)) -2/9) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 3) 2))) -1/729))) (*.f64 2/3 (cbrt.f64 (/.f64 1 (log.f64 3)))))) (fma.f64 (*.f64 1/3 (*.f64 (pow.f64 (pow.f64 (log.f64 3) 4) 1/18) (pow.f64 (pow.f64 (log.f64 3) 4) 1/18))) (fma.f64 (fma.f64 2/3 (*.f64 (-.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (log.f64 3)) 1/18) (*.f64 1/27 (pow.f64 (/.f64 1 (log.f64 3)) 1/18)))) (cbrt.f64 (/.f64 1 (log.f64 3)))) (*.f64 1/81 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 4)) 1/18)))) (cbrt.f64 (log.f64 3)) (fma.f64 1/3 (-.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (log.f64 3)) 1/18) (*.f64 1/27 (pow.f64 (/.f64 1 (log.f64 3)) 1/18)))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 3)) 1/18) (pow.f64 (/.f64 1 (log.f64 3)) 1/18)) 2/81))) (fma.f64 1/3 (+.f64 1/81 (fma.f64 (-.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (log.f64 3)) 1/18) (*.f64 1/27 (pow.f64 (/.f64 1 (log.f64 3)) 1/18)))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 5)) 1/18)) -2/9) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 3) 2))) -1/729))) (fma.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 5)) 1/18) (*.f64 (-.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (log.f64 3)) 1/18) (*.f64 1/27 (pow.f64 (/.f64 1 (log.f64 3)) 1/18)))) (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 5)) 1/18))) 2/27 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 2)) 1/18)) (*.f64 1/9 (fma.f64 2/3 (*.f64 (-.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (log.f64 3)) 1/18) (*.f64 1/27 (pow.f64 (/.f64 1 (log.f64 3)) 1/18)))) (cbrt.f64 (/.f64 1 (log.f64 3)))) (*.f64 1/81 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 4)) 1/18)))))))))))) (fma.f64 (fma.f64 2/3 (*.f64 (-.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (log.f64 3)) 1/18) (*.f64 1/27 (pow.f64 (/.f64 1 (log.f64 3)) 1/18)))) (cbrt.f64 (/.f64 1 (log.f64 3)))) (*.f64 1/81 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 3) 4)) 1/18)))) (cbrt.f64 (log.f64 3)) (fma.f64 1/3 (-.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (log.f64 3)) 1/18) (*.f64 1/27 (pow.f64 (/.f64 1 (log.f64 3)) 1/18)))) (fma.f64 1/2 (pow.f64 (*.f64 1/3 (*.f64 (pow.f64 (pow.f64 (log.f64 3) 4) 1/18) (pow.f64 (pow.f64 (log.f64 3) 4) 1/18))) 2) (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 3)) 1/18) (pow.f64 (/.f64 1 (log.f64 3)) 1/18)) 2/81)))))))) 2) |
(-.f64 (exp.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 2 (exp.f64 b))) 3) 1/3)) 1) |
(expm1.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 2 (exp.f64 b))) 3))) |
(expm1.f64 (log.f64 (+.f64 2 (exp.f64 b)))) |
(+.f64 1 (exp.f64 b)) |
(+.f64 2 (expm1.f64 b)) |
(-.f64 (exp.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 2 (exp.f64 b))) 3) 1/3)) 1) |
(expm1.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 2 (exp.f64 b))) 3))) |
(expm1.f64 (log.f64 (+.f64 2 (exp.f64 b)))) |
(+.f64 1 (exp.f64 b)) |
(+.f64 2 (expm1.f64 b)) |
(-.f64 (exp.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 2 (exp.f64 b))) 3) 1/3)) 1) |
(expm1.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 2 (exp.f64 b))) 3))) |
(expm1.f64 (log.f64 (+.f64 2 (exp.f64 b)))) |
(+.f64 1 (exp.f64 b)) |
(+.f64 2 (expm1.f64 b)) |
(-.f64 (exp.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 2 (exp.f64 b))) 3) 1/3)) 1) |
(expm1.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 2 (exp.f64 b))) 3))) |
(expm1.f64 (log.f64 (+.f64 2 (exp.f64 b)))) |
(+.f64 1 (exp.f64 b)) |
(+.f64 2 (expm1.f64 b)) |
(-.f64 (pow.f64 (+.f64 2 (exp.f64 b)) (pow.f64 1 1/3)) 1) |
(expm1.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 2 (exp.f64 b))) 3))) |
(expm1.f64 (log.f64 (+.f64 2 (exp.f64 b)))) |
(+.f64 1 (exp.f64 b)) |
(+.f64 2 (expm1.f64 b)) |
(-.f64 (pow.f64 (+.f64 2 (exp.f64 b)) (pow.f64 1 1/3)) 1) |
(expm1.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 2 (exp.f64 b))) 3))) |
(expm1.f64 (log.f64 (+.f64 2 (exp.f64 b)))) |
(+.f64 1 (exp.f64 b)) |
(+.f64 2 (expm1.f64 b)) |
(-.f64 (pow.f64 (+.f64 2 (exp.f64 b)) (pow.f64 1 1/3)) 1) |
(expm1.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 2 (exp.f64 b))) 3))) |
(expm1.f64 (log.f64 (+.f64 2 (exp.f64 b)))) |
(+.f64 1 (exp.f64 b)) |
(+.f64 2 (expm1.f64 b)) |
(-.f64 (pow.f64 (+.f64 2 (exp.f64 b)) (pow.f64 1 1/3)) 1) |
(expm1.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 2 (exp.f64 b))) 3))) |
(expm1.f64 (log.f64 (+.f64 2 (exp.f64 b)))) |
(+.f64 1 (exp.f64 b)) |
(+.f64 2 (expm1.f64 b)) |
Compiled 13 to 10 computations (23.1% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (+.f64 (*.f64 b -1/2) 1) (+.f64 1/2 (*.f64 1/4 a))) |
Compiled 35 to 27 computations (22.9% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | b | @ | 0 | (*.f64 (+.f64 (*.f64 b -1/2) 1) (+.f64 1/2 (*.f64 1/4 a))) |
| 1.0ms | a | @ | 0 | (*.f64 (+.f64 (*.f64 b -1/2) 1) (+.f64 1/2 (*.f64 1/4 a))) |
| 1.0ms | b | @ | inf | (*.f64 (+.f64 (*.f64 b -1/2) 1) (+.f64 1/2 (*.f64 1/4 a))) |
| 0.0ms | a | @ | inf | (*.f64 (+.f64 (*.f64 b -1/2) 1) (+.f64 1/2 (*.f64 1/4 a))) |
| 0.0ms | b | @ | -inf | (*.f64 (+.f64 (*.f64 b -1/2) 1) (+.f64 1/2 (*.f64 1/4 a))) |
| 1× | batch-egg-rewrite |
| 542× | log-prod_binary64 |
| 503× | prod-diff_binary64 |
| 326× | fma-def_binary64 |
| 307× | pow2_binary64 |
| 213× | pow1/3_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 14 |
| 1 | 259 | 12 |
| 2 | 3292 | 12 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (+.f64 (*.f64 b -1/2) 1) (+.f64 1/2 (*.f64 1/4 a))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/4 a 1/2) (*.f64 (*.f64 b -1/2) (fma.f64 1/4 a 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/4 a 1/2) (*.f64 (fma.f64 1/4 a 1/2) (*.f64 b -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (fma.f64 b -1/2 1) (fma.f64 1/4 a 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 b -1/2 1) 1/2) (*.f64 (fma.f64 b -1/2 1) (*.f64 1/4 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 b -1/2 1) (*.f64 1/4 a)) (*.f64 (fma.f64 b -1/2 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (fma.f64 b -1/2 1) 1/2) 1) (*.f64 (*.f64 (fma.f64 b -1/2 1) (*.f64 1/4 a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 b -1/2) (fma.f64 1/4 a 1/2)) (fma.f64 1/4 a 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 1/4 a 1/2) (*.f64 b -1/2)) (fma.f64 1/4 a 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 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(fma.f64 1/4 a 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 1/4 a 1/2)) (sqrt.f64 (fma.f64 1/4 a 1/2)) (*.f64 (fma.f64 1/4 a 1/2) (*.f64 b -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 b -1/2 1)) (*.f64 (sqrt.f64 (fma.f64 b -1/2 1)) 1/2) (*.f64 (fma.f64 b -1/2 1) (*.f64 1/4 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 b -1/2 1)) (*.f64 (sqrt.f64 (fma.f64 b -1/2 1)) (*.f64 1/4 a)) (*.f64 (fma.f64 b -1/2 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/4 a)) (*.f64 (sqrt.f64 (*.f64 1/4 a)) (fma.f64 b -1/2 1)) (*.f64 (fma.f64 b -1/2 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 1/64 (pow.f64 a 3) 1/8) (/.f64 1 (fma.f64 (*.f64 1/4 a) (fma.f64 1/4 a -1/2) 1/4)) (*.f64 (*.f64 b -1/2) (fma.f64 1/4 a 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 1/64 (pow.f64 a 3) 1/8) (/.f64 1 (fma.f64 (*.f64 1/4 a) (fma.f64 1/4 a -1/2) 1/4)) (*.f64 (fma.f64 1/4 a 1/2) (*.f64 b -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1/4 (*.f64 1/16 (*.f64 a a))) (/.f64 1 (+.f64 1/2 (*.f64 -1/4 a))) (*.f64 (*.f64 b -1/2) (fma.f64 1/4 a 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1/4 (*.f64 1/16 (*.f64 a a))) (/.f64 1 (+.f64 1/2 (*.f64 -1/4 a))) (*.f64 (fma.f64 1/4 a 1/2) (*.f64 b -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (fma.f64 b -1/2 1) 1/2) 1 (*.f64 (*.f64 (fma.f64 b -1/2 1) (*.f64 1/4 a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 b -1/2 1) 1/2)) 2) (cbrt.f64 (*.f64 (fma.f64 b -1/2 1) 1/2)) (*.f64 (fma.f64 b -1/2 1) (*.f64 1/4 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 b -1/2 1) (*.f64 1/4 a))) 2) (cbrt.f64 (*.f64 (fma.f64 b -1/2 1) (*.f64 1/4 a))) (*.f64 (fma.f64 b -1/2 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (fma.f64 b -1/2 1) 1/2)) (sqrt.f64 (*.f64 (fma.f64 b -1/2 1) 1/2)) (*.f64 (fma.f64 b -1/2 1) (*.f64 1/4 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (fma.f64 b -1/2 1) (*.f64 1/4 a))) (sqrt.f64 (*.f64 (fma.f64 b -1/2 1) (*.f64 1/4 a))) (*.f64 (fma.f64 b -1/2 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (*.f64 1/4 a)) (sqrt.f64 (fma.f64 b -1/2 1))) (*.f64 (sqrt.f64 (*.f64 1/4 a)) (sqrt.f64 (fma.f64 b -1/2 1))) (*.f64 (fma.f64 b -1/2 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (fma.f64 b -1/2 1)) (sqrt.f64 (*.f64 1/4 a))) (*.f64 (sqrt.f64 (fma.f64 b -1/2 1)) (sqrt.f64 (*.f64 1/4 a))) (*.f64 (fma.f64 b -1/2 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/4 a) (pow.f64 (cbrt.f64 (fma.f64 b -1/2 1)) 2)) (cbrt.f64 (fma.f64 b -1/2 1)) (*.f64 (fma.f64 b -1/2 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/4 a) (sqrt.f64 (fma.f64 b -1/2 1))) (sqrt.f64 (fma.f64 b -1/2 1)) (*.f64 (fma.f64 b -1/2 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (fma.f64 b -1/2 1)) 2)) (cbrt.f64 (fma.f64 b -1/2 1)) (*.f64 (fma.f64 b -1/2 1) (*.f64 1/4 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (sqrt.f64 (fma.f64 b -1/2 1))) (sqrt.f64 (fma.f64 b -1/2 1)) (*.f64 (fma.f64 b -1/2 1) (*.f64 1/4 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (fma.f64 b -1/2 1) 1/4) a (*.f64 (fma.f64 b -1/2 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (fma.f64 b -1/2 1) a) 1/4 (*.f64 (fma.f64 b -1/2 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (fma.f64 b -1/2 1) (pow.f64 (cbrt.f64 (*.f64 1/4 a)) 2)) (cbrt.f64 (*.f64 1/4 a)) (*.f64 (fma.f64 b -1/2 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (fma.f64 b -1/2 1) (sqrt.f64 (*.f64 1/4 a))) (sqrt.f64 (*.f64 1/4 a)) (*.f64 (fma.f64 b -1/2 1) 1/2)))))) |
| 1× | egg-herbie |
| 524× | fma-def_binary64 |
| 62× | associate-*l*_binary64 |
| 46× | associate-*r*_binary64 |
| 38× | distribute-rgt-in_binary64 |
| 36× | associate-+l+_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 423 |
| 1 | 58 | 380 |
| 2 | 167 | 270 |
| 3 | 405 | 266 |
| 4 | 754 | 258 |
| 5 | 832 | 258 |
| 6 | 894 | 258 |
| 7 | 939 | 258 |
| 8 | 945 | 258 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 1/2 (*.f64 1/4 a)) |
(+.f64 1/2 (+.f64 (*.f64 -1/2 (*.f64 b (+.f64 1/2 (*.f64 1/4 a)))) (*.f64 1/4 a))) |
(+.f64 1/2 (+.f64 (*.f64 -1/2 (*.f64 b (+.f64 1/2 (*.f64 1/4 a)))) (*.f64 1/4 a))) |
(+.f64 1/2 (+.f64 (*.f64 -1/2 (*.f64 b (+.f64 1/2 (*.f64 1/4 a)))) (*.f64 1/4 a))) |
(*.f64 -1/2 (*.f64 b (+.f64 1/2 (*.f64 1/4 a)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/2 (*.f64 b (+.f64 1/2 (*.f64 1/4 a)))) (*.f64 1/4 a))) |
(+.f64 1/2 (+.f64 (*.f64 -1/2 (*.f64 b (+.f64 1/2 (*.f64 1/4 a)))) (*.f64 1/4 a))) |
(+.f64 1/2 (+.f64 (*.f64 -1/2 (*.f64 b (+.f64 1/2 (*.f64 1/4 a)))) (*.f64 1/4 a))) |
(*.f64 -1/2 (*.f64 b (+.f64 1/2 (*.f64 1/4 a)))) |
(+.f64 1/2 (+.f64 (*.f64 -1/2 (*.f64 b (+.f64 1/2 (*.f64 1/4 a)))) (*.f64 1/4 a))) |
(+.f64 1/2 (+.f64 (*.f64 -1/2 (*.f64 b (+.f64 1/2 (*.f64 1/4 a)))) (*.f64 1/4 a))) |
(+.f64 1/2 (+.f64 (*.f64 -1/2 (*.f64 b (+.f64 1/2 (*.f64 1/4 a)))) (*.f64 1/4 a))) |
(*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1)) |
(+.f64 (*.f64 1/4 (*.f64 a (+.f64 (*.f64 -1/2 b) 1))) (*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1))) |
(+.f64 (*.f64 1/4 (*.f64 a (+.f64 (*.f64 -1/2 b) 1))) (*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1))) |
(+.f64 (*.f64 1/4 (*.f64 a (+.f64 (*.f64 -1/2 b) 1))) (*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1))) |
(*.f64 1/4 (*.f64 a (+.f64 (*.f64 -1/2 b) 1))) |
(+.f64 (*.f64 1/4 (*.f64 a (+.f64 (*.f64 -1/2 b) 1))) (*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1))) |
(+.f64 (*.f64 1/4 (*.f64 a (+.f64 (*.f64 -1/2 b) 1))) (*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1))) |
(+.f64 (*.f64 1/4 (*.f64 a (+.f64 (*.f64 -1/2 b) 1))) (*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1))) |
(*.f64 1/4 (*.f64 a (+.f64 (*.f64 -1/2 b) 1))) |
(+.f64 (*.f64 1/4 (*.f64 a (+.f64 (*.f64 -1/2 b) 1))) (*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1))) |
(+.f64 (*.f64 1/4 (*.f64 a (+.f64 (*.f64 -1/2 b) 1))) (*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1))) |
(+.f64 (*.f64 1/4 (*.f64 a (+.f64 (*.f64 -1/2 b) 1))) (*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1))) |
| Outputs |
|---|
(+.f64 1/2 (*.f64 1/4 a)) |
(fma.f64 1/4 a 1/2) |
(+.f64 1/2 (+.f64 (*.f64 -1/2 (*.f64 b (+.f64 1/2 (*.f64 1/4 a)))) (*.f64 1/4 a))) |
(+.f64 1/2 (fma.f64 -1/2 (*.f64 (+.f64 1/2 (*.f64 1/4 a)) b) (*.f64 1/4 a))) |
(+.f64 1/2 (fma.f64 1/4 a (*.f64 -1/2 (*.f64 (fma.f64 1/4 a 1/2) b)))) |
(*.f64 (fma.f64 1/4 a 1/2) (fma.f64 -1/2 b 1)) |
(+.f64 1/2 (+.f64 (*.f64 -1/2 (*.f64 b (+.f64 1/2 (*.f64 1/4 a)))) (*.f64 1/4 a))) |
(+.f64 1/2 (fma.f64 -1/2 (*.f64 (+.f64 1/2 (*.f64 1/4 a)) b) (*.f64 1/4 a))) |
(+.f64 1/2 (fma.f64 1/4 a (*.f64 -1/2 (*.f64 (fma.f64 1/4 a 1/2) b)))) |
(*.f64 (fma.f64 1/4 a 1/2) (fma.f64 -1/2 b 1)) |
(+.f64 1/2 (+.f64 (*.f64 -1/2 (*.f64 b (+.f64 1/2 (*.f64 1/4 a)))) (*.f64 1/4 a))) |
(+.f64 1/2 (fma.f64 -1/2 (*.f64 (+.f64 1/2 (*.f64 1/4 a)) b) (*.f64 1/4 a))) |
(+.f64 1/2 (fma.f64 1/4 a (*.f64 -1/2 (*.f64 (fma.f64 1/4 a 1/2) b)))) |
(*.f64 (fma.f64 1/4 a 1/2) (fma.f64 -1/2 b 1)) |
(*.f64 -1/2 (*.f64 b (+.f64 1/2 (*.f64 1/4 a)))) |
(*.f64 (*.f64 -1/2 b) (+.f64 1/2 (*.f64 1/4 a))) |
(*.f64 -1/2 (*.f64 (fma.f64 1/4 a 1/2) b)) |
(*.f64 b (+.f64 -1/4 (*.f64 a -1/8))) |
(*.f64 b (fma.f64 a -1/8 -1/4)) |
(+.f64 1/2 (+.f64 (*.f64 -1/2 (*.f64 b (+.f64 1/2 (*.f64 1/4 a)))) (*.f64 1/4 a))) |
(+.f64 1/2 (fma.f64 -1/2 (*.f64 (+.f64 1/2 (*.f64 1/4 a)) b) (*.f64 1/4 a))) |
(+.f64 1/2 (fma.f64 1/4 a (*.f64 -1/2 (*.f64 (fma.f64 1/4 a 1/2) b)))) |
(*.f64 (fma.f64 1/4 a 1/2) (fma.f64 -1/2 b 1)) |
(+.f64 1/2 (+.f64 (*.f64 -1/2 (*.f64 b (+.f64 1/2 (*.f64 1/4 a)))) (*.f64 1/4 a))) |
(+.f64 1/2 (fma.f64 -1/2 (*.f64 (+.f64 1/2 (*.f64 1/4 a)) b) (*.f64 1/4 a))) |
(+.f64 1/2 (fma.f64 1/4 a (*.f64 -1/2 (*.f64 (fma.f64 1/4 a 1/2) b)))) |
(*.f64 (fma.f64 1/4 a 1/2) (fma.f64 -1/2 b 1)) |
(+.f64 1/2 (+.f64 (*.f64 -1/2 (*.f64 b (+.f64 1/2 (*.f64 1/4 a)))) (*.f64 1/4 a))) |
(+.f64 1/2 (fma.f64 -1/2 (*.f64 (+.f64 1/2 (*.f64 1/4 a)) b) (*.f64 1/4 a))) |
(+.f64 1/2 (fma.f64 1/4 a (*.f64 -1/2 (*.f64 (fma.f64 1/4 a 1/2) b)))) |
(*.f64 (fma.f64 1/4 a 1/2) (fma.f64 -1/2 b 1)) |
(*.f64 -1/2 (*.f64 b (+.f64 1/2 (*.f64 1/4 a)))) |
(*.f64 (*.f64 -1/2 b) (+.f64 1/2 (*.f64 1/4 a))) |
(*.f64 -1/2 (*.f64 (fma.f64 1/4 a 1/2) b)) |
(*.f64 b (+.f64 -1/4 (*.f64 a -1/8))) |
(*.f64 b (fma.f64 a -1/8 -1/4)) |
(+.f64 1/2 (+.f64 (*.f64 -1/2 (*.f64 b (+.f64 1/2 (*.f64 1/4 a)))) (*.f64 1/4 a))) |
(+.f64 1/2 (fma.f64 -1/2 (*.f64 (+.f64 1/2 (*.f64 1/4 a)) b) (*.f64 1/4 a))) |
(+.f64 1/2 (fma.f64 1/4 a (*.f64 -1/2 (*.f64 (fma.f64 1/4 a 1/2) b)))) |
(*.f64 (fma.f64 1/4 a 1/2) (fma.f64 -1/2 b 1)) |
(+.f64 1/2 (+.f64 (*.f64 -1/2 (*.f64 b (+.f64 1/2 (*.f64 1/4 a)))) (*.f64 1/4 a))) |
(+.f64 1/2 (fma.f64 -1/2 (*.f64 (+.f64 1/2 (*.f64 1/4 a)) b) (*.f64 1/4 a))) |
(+.f64 1/2 (fma.f64 1/4 a (*.f64 -1/2 (*.f64 (fma.f64 1/4 a 1/2) b)))) |
(*.f64 (fma.f64 1/4 a 1/2) (fma.f64 -1/2 b 1)) |
(+.f64 1/2 (+.f64 (*.f64 -1/2 (*.f64 b (+.f64 1/2 (*.f64 1/4 a)))) (*.f64 1/4 a))) |
(+.f64 1/2 (fma.f64 -1/2 (*.f64 (+.f64 1/2 (*.f64 1/4 a)) b) (*.f64 1/4 a))) |
(+.f64 1/2 (fma.f64 1/4 a (*.f64 -1/2 (*.f64 (fma.f64 1/4 a 1/2) b)))) |
(*.f64 (fma.f64 1/4 a 1/2) (fma.f64 -1/2 b 1)) |
(*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1)) |
(*.f64 1/2 (fma.f64 -1/2 b 1)) |
(+.f64 1/2 (*.f64 b -1/4)) |
(fma.f64 b -1/4 1/2) |
(+.f64 (*.f64 1/4 (*.f64 a (+.f64 (*.f64 -1/2 b) 1))) (*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1))) |
(+.f64 1/2 (fma.f64 -1/2 (*.f64 (+.f64 1/2 (*.f64 1/4 a)) b) (*.f64 1/4 a))) |
(+.f64 1/2 (fma.f64 1/4 a (*.f64 -1/2 (*.f64 (fma.f64 1/4 a 1/2) b)))) |
(*.f64 (fma.f64 1/4 a 1/2) (fma.f64 -1/2 b 1)) |
(+.f64 (*.f64 1/4 (*.f64 a (+.f64 (*.f64 -1/2 b) 1))) (*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1))) |
(+.f64 1/2 (fma.f64 -1/2 (*.f64 (+.f64 1/2 (*.f64 1/4 a)) b) (*.f64 1/4 a))) |
(+.f64 1/2 (fma.f64 1/4 a (*.f64 -1/2 (*.f64 (fma.f64 1/4 a 1/2) b)))) |
(*.f64 (fma.f64 1/4 a 1/2) (fma.f64 -1/2 b 1)) |
(+.f64 (*.f64 1/4 (*.f64 a (+.f64 (*.f64 -1/2 b) 1))) (*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1))) |
(+.f64 1/2 (fma.f64 -1/2 (*.f64 (+.f64 1/2 (*.f64 1/4 a)) b) (*.f64 1/4 a))) |
(+.f64 1/2 (fma.f64 1/4 a (*.f64 -1/2 (*.f64 (fma.f64 1/4 a 1/2) b)))) |
(*.f64 (fma.f64 1/4 a 1/2) (fma.f64 -1/2 b 1)) |
(*.f64 1/4 (*.f64 a (+.f64 (*.f64 -1/2 b) 1))) |
(*.f64 1/4 (*.f64 a (fma.f64 -1/2 b 1))) |
(*.f64 a (+.f64 1/4 (*.f64 b -1/8))) |
(*.f64 a (fma.f64 b -1/8 1/4)) |
(+.f64 (*.f64 1/4 (*.f64 a (+.f64 (*.f64 -1/2 b) 1))) (*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1))) |
(+.f64 1/2 (fma.f64 -1/2 (*.f64 (+.f64 1/2 (*.f64 1/4 a)) b) (*.f64 1/4 a))) |
(+.f64 1/2 (fma.f64 1/4 a (*.f64 -1/2 (*.f64 (fma.f64 1/4 a 1/2) b)))) |
(*.f64 (fma.f64 1/4 a 1/2) (fma.f64 -1/2 b 1)) |
(+.f64 (*.f64 1/4 (*.f64 a (+.f64 (*.f64 -1/2 b) 1))) (*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1))) |
(+.f64 1/2 (fma.f64 -1/2 (*.f64 (+.f64 1/2 (*.f64 1/4 a)) b) (*.f64 1/4 a))) |
(+.f64 1/2 (fma.f64 1/4 a (*.f64 -1/2 (*.f64 (fma.f64 1/4 a 1/2) b)))) |
(*.f64 (fma.f64 1/4 a 1/2) (fma.f64 -1/2 b 1)) |
(+.f64 (*.f64 1/4 (*.f64 a (+.f64 (*.f64 -1/2 b) 1))) (*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1))) |
(+.f64 1/2 (fma.f64 -1/2 (*.f64 (+.f64 1/2 (*.f64 1/4 a)) b) (*.f64 1/4 a))) |
(+.f64 1/2 (fma.f64 1/4 a (*.f64 -1/2 (*.f64 (fma.f64 1/4 a 1/2) b)))) |
(*.f64 (fma.f64 1/4 a 1/2) (fma.f64 -1/2 b 1)) |
(*.f64 1/4 (*.f64 a (+.f64 (*.f64 -1/2 b) 1))) |
(*.f64 1/4 (*.f64 a (fma.f64 -1/2 b 1))) |
(*.f64 a (+.f64 1/4 (*.f64 b -1/8))) |
(*.f64 a (fma.f64 b -1/8 1/4)) |
(+.f64 (*.f64 1/4 (*.f64 a (+.f64 (*.f64 -1/2 b) 1))) (*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1))) |
(+.f64 1/2 (fma.f64 -1/2 (*.f64 (+.f64 1/2 (*.f64 1/4 a)) b) (*.f64 1/4 a))) |
(+.f64 1/2 (fma.f64 1/4 a (*.f64 -1/2 (*.f64 (fma.f64 1/4 a 1/2) b)))) |
(*.f64 (fma.f64 1/4 a 1/2) (fma.f64 -1/2 b 1)) |
(+.f64 (*.f64 1/4 (*.f64 a (+.f64 (*.f64 -1/2 b) 1))) (*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1))) |
(+.f64 1/2 (fma.f64 -1/2 (*.f64 (+.f64 1/2 (*.f64 1/4 a)) b) (*.f64 1/4 a))) |
(+.f64 1/2 (fma.f64 1/4 a (*.f64 -1/2 (*.f64 (fma.f64 1/4 a 1/2) b)))) |
(*.f64 (fma.f64 1/4 a 1/2) (fma.f64 -1/2 b 1)) |
(+.f64 (*.f64 1/4 (*.f64 a (+.f64 (*.f64 -1/2 b) 1))) (*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1))) |
(+.f64 1/2 (fma.f64 -1/2 (*.f64 (+.f64 1/2 (*.f64 1/4 a)) b) (*.f64 1/4 a))) |
(+.f64 1/2 (fma.f64 1/4 a (*.f64 -1/2 (*.f64 (fma.f64 1/4 a 1/2) b)))) |
(*.f64 (fma.f64 1/4 a 1/2) (fma.f64 -1/2 b 1)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (exp.f64 a) b) |
Compiled 10 to 4 computations (60% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | a | @ | 0 | (/.f64 (exp.f64 a) b) |
| 0.0ms | a | @ | inf | (/.f64 (exp.f64 a) b) |
| 0.0ms | a | @ | -inf | (/.f64 (exp.f64 a) b) |
| 0.0ms | b | @ | -inf | (/.f64 (exp.f64 a) b) |
| 0.0ms | b | @ | 0 | (/.f64 (exp.f64 a) b) |
| 1× | batch-egg-rewrite |
| 528× | pow1_binary64 |
| 504× | add-sqr-sqrt_binary64 |
| 487× | add-log-exp_binary64 |
| 487× | log1p-expm1-u_binary64 |
| 487× | expm1-log1p-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 6 |
| 1 | 100 | 6 |
| 2 | 1305 | 6 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (exp.f64 a) b) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (exp.f64 a) b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 a) (/.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 a) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (exp.f64 a) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (*.f64 (cbrt.f64 (exp.f64 a)) (/.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (exp.f64 a) b)) (pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) b)) 2) (cbrt.f64 (/.f64 (exp.f64 a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 a)) (*.f64 (sqrt.f64 (exp.f64 a)) (/.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (exp.f64 a) b)) (sqrt.f64 (/.f64 (exp.f64 a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (exp.f64 a)) (/.f64 1 (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 b) (exp.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) 1) (/.f64 (cbrt.f64 (exp.f64 a)) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (exp.f64 a)) 1) (/.f64 (sqrt.f64 (exp.f64 a)) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 b) 2)) (/.f64 (exp.f64 a) (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 (/.f64 (exp.f64 a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 b) 2)) (/.f64 (sqrt.f64 (exp.f64 a)) (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 b)) (/.f64 (exp.f64 a) (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (sqrt.f64 b)) (/.f64 (cbrt.f64 (exp.f64 a)) (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (exp.f64 a) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (exp.f64 a) b) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) b)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (exp.f64 a) b)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b (exp.f64 a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (exp.f64 a) (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (exp.f64 a) b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (exp.f64 a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) b) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (exp.f64 a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (exp.f64 a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 a (log.f64 b))))))) |
| 1× | egg-herbie |
| 698× | distribute-rgt-out_binary64 |
| 536× | unswap-sqr_binary64 |
| 525× | associate-*l/_binary64 |
| 515× | associate-*r/_binary64 |
| 493× | distribute-rgt-in_binary64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 64 |
| 1 | 53 | 64 |
| 2 | 114 | 64 |
| 3 | 240 | 64 |
| 4 | 631 | 62 |
| 5 | 2936 | 61 |
| 6 | 5699 | 61 |
| 7 | 6995 | 61 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 b) |
(+.f64 (/.f64 a b) (/.f64 1 b)) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) b)) (+.f64 (/.f64 a b) (/.f64 1 b))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) b)) (+.f64 (/.f64 a b) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 a 3) b)) (/.f64 1 b)))) |
| Outputs |
|---|
(/.f64 1 b) |
(+.f64 (/.f64 a b) (/.f64 1 b)) |
(+.f64 (/.f64 1 b) (/.f64 a b)) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) b)) (+.f64 (/.f64 a b) (/.f64 1 b))) |
(fma.f64 1/2 (/.f64 (*.f64 a a) b) (+.f64 (/.f64 1 b) (/.f64 a b))) |
(+.f64 (/.f64 1 b) (fma.f64 1/2 (/.f64 a (/.f64 b a)) (/.f64 a b))) |
(+.f64 (/.f64 a b) (fma.f64 1/2 (*.f64 (/.f64 a b) a) (/.f64 1 b))) |
(+.f64 (/.f64 1 b) (fma.f64 (/.f64 1/2 b) (*.f64 a a) (/.f64 a b))) |
(+.f64 (/.f64 a b) (fma.f64 (/.f64 a b) (*.f64 a 1/2) (/.f64 1 b))) |
(+.f64 (/.f64 1 b) (*.f64 (+.f64 (*.f64 a 1/2) 1) (/.f64 a b))) |
(+.f64 (/.f64 1 b) (*.f64 (+.f64 1 (*.f64 a 1/2)) (/.f64 a b))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) b)) (+.f64 (/.f64 a b) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 a 3) b)) (/.f64 1 b)))) |
(fma.f64 1/2 (/.f64 (*.f64 a a) b) (+.f64 (/.f64 a b) (fma.f64 1/6 (/.f64 (pow.f64 a 3) b) (/.f64 1 b)))) |
(+.f64 (fma.f64 1/6 (/.f64 (pow.f64 a 3) b) (/.f64 1 b)) (fma.f64 1/2 (/.f64 a (/.f64 b a)) (/.f64 a b))) |
(+.f64 (/.f64 1 b) (fma.f64 1/2 (*.f64 (/.f64 a b) a) (fma.f64 1/6 (/.f64 (pow.f64 a 3) b) (/.f64 a b)))) |
(+.f64 (/.f64 1 b) (fma.f64 1/6 (/.f64 (pow.f64 a 3) b) (fma.f64 (/.f64 1/2 b) (*.f64 a a) (/.f64 a b)))) |
(+.f64 (/.f64 a b) (+.f64 (/.f64 1 b) (*.f64 (*.f64 a (/.f64 a b)) (+.f64 1/2 (*.f64 a 1/6))))) |
(+.f64 (+.f64 (/.f64 1 b) (/.f64 a b)) (*.f64 a (*.f64 (/.f64 a b) (+.f64 1/2 (*.f64 a 1/6))))) |
(+.f64 (+.f64 (/.f64 1 b) (/.f64 a b)) (*.f64 (/.f64 a b) (*.f64 a (+.f64 1/2 (*.f64 a 1/6))))) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (exp.f64 a) 1) |
| ✓ | 0.5b | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) |
Compiled 17 to 9 computations (47.1% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | a | @ | 0 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) |
| 0.0ms | a | @ | -inf | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) |
| 0.0ms | a | @ | inf | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) |
| 0.0ms | a | @ | 0 | (+.f64 (exp.f64 a) 1) |
| 0.0ms | a | @ | -inf | (+.f64 (exp.f64 a) 1) |
| 1× | batch-egg-rewrite |
| 660× | pow1_binary64 |
| 615× | add-log-exp_binary64 |
| 615× | log1p-expm1-u_binary64 |
| 615× | expm1-log1p-u_binary64 |
| 602× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 17 |
| 1 | 125 | 16 |
| 2 | 1707 | 16 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) |
(+.f64 (exp.f64 a) 1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 a) (/.f64 1 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 2) (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (*.f64 (cbrt.f64 (exp.f64 a)) (/.f64 1 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))))) (#(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) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (exp.f64 a)) (/.f64 1 (+.f64 (neg.f64 (exp.f64 a)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (exp.f64 a) 1)) (exp.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) 1) (/.f64 (cbrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) 1)))))) (#(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) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (/.f64 (exp.f64 a) (cbrt.f64 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (/.f64 (sqrt.f64 (exp.f64 a)) (cbrt.f64 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 (exp.f64 a) 1))) (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (sqrt.f64 (+.f64 (exp.f64 a) 1))) (/.f64 (cbrt.f64 (exp.f64 a)) (sqrt.f64 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 a) (+.f64 1 (pow.f64 (exp.f64 a) 3))) (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 a) (fma.f64 (exp.f64 a) (exp.f64 a) -1)) (expm1.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 a)) a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (exp.f64 a) (+.f64 (neg.f64 (exp.f64 a)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 (exp.f64 a) 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (exp.f64 a) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (exp.f64 a) 2) (expm1.f64 a)) (/.f64 1 (expm1.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (exp.f64 a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (exp.f64 a) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2) (cbrt.f64 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)) (sqrt.f64 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (/.f64 1 (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (exp.f64 a) (exp.f64 a) -1) (/.f64 1 (expm1.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 1 (exp.f64 a))) (+.f64 1 (pow.f64 (exp.f64 a) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (expm1.f64 a) (fma.f64 (exp.f64 a) (exp.f64 a) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (exp.f64 a) (exp.f64 a) -1) (expm1.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (neg.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (-.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (exp.f64 a) (exp.f64 a) -1)) (neg.f64 (expm1.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (-.f64 1 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (exp.f64 a) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (cbrt.f64 (exp.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) 1))))) |
| 1× | egg-herbie |
| 1121× | fma-def_binary64 |
| 702× | associate-/l/_binary64 |
| 528× | associate-/r/_binary64 |
| 408× | associate-/l*_binary64 |
| 401× | unswap-sqr_binary64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 215 |
| 1 | 79 | 209 |
| 2 | 189 | 207 |
| 3 | 523 | 202 |
| 4 | 1235 | 202 |
| 5 | 2142 | 200 |
| 6 | 3222 | 200 |
| 7 | 3708 | 200 |
| 8 | 4494 | 200 |
| 9 | 7660 | 200 |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 1/4 a)) |
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a))) |
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (+.f64 (*.f64 1/480 (pow.f64 a 5)) (*.f64 1/4 a)))) |
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) |
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) |
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) |
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) |
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) |
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) |
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) |
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) |
2 |
(+.f64 2 a) |
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a)) |
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (*.f64 1/6 (pow.f64 a 3))))) |
(+.f64 1 (exp.f64 a)) |
(+.f64 1 (exp.f64 a)) |
(+.f64 1 (exp.f64 a)) |
(+.f64 1 (exp.f64 a)) |
(+.f64 1 (exp.f64 a)) |
(+.f64 1 (exp.f64 a)) |
(+.f64 1 (exp.f64 a)) |
(+.f64 1 (exp.f64 a)) |
| Outputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 1/4 a)) |
(fma.f64 1/4 a 1/2) |
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a))) |
(fma.f64 -1/48 (pow.f64 a 3) (+.f64 1/2 (*.f64 1/4 a))) |
(fma.f64 -1/48 (pow.f64 a 3) (fma.f64 1/4 a 1/2)) |
(fma.f64 a (fma.f64 -1/48 (*.f64 a a) 1/4) 1/2) |
(fma.f64 1/4 a (fma.f64 -1/48 (pow.f64 a 3) 1/2)) |
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (+.f64 (*.f64 1/480 (pow.f64 a 5)) (*.f64 1/4 a)))) |
(fma.f64 -1/48 (pow.f64 a 3) (+.f64 1/2 (fma.f64 1/480 (pow.f64 a 5) (*.f64 1/4 a)))) |
(+.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 1/4 a 1/2)) (*.f64 1/480 (pow.f64 a 5))) |
(fma.f64 -1/48 (pow.f64 a 3) (fma.f64 1/4 a (fma.f64 1/480 (pow.f64 a 5) 1/2))) |
(fma.f64 1/480 (pow.f64 a 5) (fma.f64 a (fma.f64 -1/48 (*.f64 a a) 1/4) 1/2)) |
(fma.f64 1/480 (pow.f64 a 5) (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 1/4 a 1/2))) |
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) |
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) |
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) |
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) |
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) |
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) |
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) |
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) |
2 |
(+.f64 2 a) |
(+.f64 a 2) |
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a)) |
(fma.f64 1/2 (*.f64 a a) (+.f64 a 2)) |
(+.f64 a (fma.f64 1/2 (*.f64 a a) 2)) |
(fma.f64 (fma.f64 1/2 a 1) a 2) |
(fma.f64 a (fma.f64 1/2 a 1) 2) |
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (*.f64 1/6 (pow.f64 a 3))))) |
(fma.f64 1/2 (*.f64 a a) (+.f64 2 (+.f64 a (*.f64 (pow.f64 a 3) 1/6)))) |
(+.f64 (fma.f64 (pow.f64 a 3) 1/6 a) (fma.f64 1/2 (*.f64 a a) 2)) |
(fma.f64 (*.f64 a a) (fma.f64 a 1/6 1/2) (+.f64 a 2)) |
(fma.f64 a (fma.f64 a (fma.f64 a 1/6 1/2) 1) 2) |
(+.f64 1 (exp.f64 a)) |
(+.f64 (exp.f64 a) 1) |
(+.f64 1 (exp.f64 a)) |
(+.f64 (exp.f64 a) 1) |
(+.f64 1 (exp.f64 a)) |
(+.f64 (exp.f64 a) 1) |
(+.f64 1 (exp.f64 a)) |
(+.f64 (exp.f64 a) 1) |
(+.f64 1 (exp.f64 a)) |
(+.f64 (exp.f64 a) 1) |
(+.f64 1 (exp.f64 a)) |
(+.f64 (exp.f64 a) 1) |
(+.f64 1 (exp.f64 a)) |
(+.f64 (exp.f64 a) 1) |
(+.f64 1 (exp.f64 a)) |
(+.f64 (exp.f64 a) 1) |
Compiled 7170 to 5773 computations (19.5% saved)
19 alts after pruning (10 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 337 | 7 | 344 |
| Fresh | 0 | 3 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 8 | 9 |
| Total | 338 | 19 | 357 |
| Status | Error | Program |
|---|---|---|
| 38.3b | (*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 a 2)) 1) (+.f64 1/2 (*.f64 1/4 a))) | |
| ✓ | 12.3b | (/.f64 1 (+.f64 1 (exp.f64 b))) |
| 14.1b | (/.f64 1 (expm1.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 2 (exp.f64 b))))) 3) 3))) | |
| 37.2b | 1/2 | |
| ✓ | 37.2b | (+.f64 1/2 (*.f64 1/4 a)) |
| ✓ | 20.8b | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) |
| 37.5b | (/.f64 1 (expm1.f64 (log1p.f64 2))) | |
| ✓ | 1.0b | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 61.9b | (*.f64 1/4 (*.f64 a (+.f64 (*.f64 -1/2 b) 1))) | |
| 38.4b | (/.f64 1 (+.f64 b 2)) | |
| ✓ | 45.9b | (/.f64 (exp.f64 a) b) |
| ✓ | 13.5b | (/.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 1 (exp.f64 b)))) 3))) |
| ✓ | 21.3b | (/.f64 (exp.f64 a) 2) |
| ✓ | 38.5b | (*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1)) |
| 37.4b | (+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a))) | |
| 62.1b | (+.f64 (/.f64 a b) (/.f64 1 b)) | |
| 61.9b | (/.f64 1 b) | |
| 61.7b | (*.f64 -1/2 (*.f64 b (+.f64 1/2 (*.f64 1/4 a)))) | |
| ✓ | 38.4b | (*.f64 (+.f64 (*.f64 b -1/2) 1) (+.f64 1/2 (*.f64 1/4 a))) |
Compiled 179 to 148 computations (17.3% saved)
| Inputs |
|---|
1/2 |
(/.f64 1 b) |
(/.f64 1 2) |
(/.f64 1 (+.f64 b 2)) |
(+.f64 1/2 (*.f64 1/4 a)) |
(/.f64 1 (+.f64 2 b)) |
(+.f64 (/.f64 a b) (/.f64 1 b)) |
(*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1)) |
(*.f64 1/4 (*.f64 a (+.f64 (*.f64 -1/2 b) 1))) |
(*.f64 -1/2 (*.f64 b (+.f64 1/2 (*.f64 1/4 a)))) |
(*.f64 (+.f64 (*.f64 b -1/2) 1) (+.f64 1/2 (*.f64 1/4 a))) |
(*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 a 2)) 1) (+.f64 1/2 (*.f64 1/4 a))) |
(+.f64 (*.f64 a (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/2 b) (+.f64 1 (*.f64 1/4 b)))) (*.f64 1/4 (+.f64 (*.f64 -1/2 b) 1)))) (*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1))) |
(/.f64 (exp.f64 a) b) |
(/.f64 (exp.f64 a) 2) |
(/.f64 1 (+.f64 1 (exp.f64 b))) |
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a))) |
(*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a))) 1) (+.f64 1/2 (*.f64 1/4 a))) |
(/.f64 1 (expm1.f64 (log1p.f64 2))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) |
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 b))) |
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) |
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 b) a))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 1 b))) |
(/.f64 1 (expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 b))))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(-.f64 (+.f64 1 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 1) |
(/.f64 (exp.f64 a) (+.f64 1 (fma.f64 a (*.f64 a 1/2) (+.f64 (exp.f64 b) a)))) |
(*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a))) 1) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))) |
(/.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 1 (exp.f64 b)))) 3))) |
(/.f64 1 (expm1.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 2 (exp.f64 b))))) 3) 3))) |
| Outputs |
|---|
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
5 calls:
| 18.0ms | b |
| 17.0ms | a |
| 6.0ms | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 4.0ms | (exp.f64 b) |
| 4.0ms | (exp.f64 a) |
| Error | Segments | Branch |
|---|---|---|
| 1.0b | 1 | a |
| 1.0b | 1 | b |
| 1.0b | 1 | (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
| 1.0b | 1 | (exp.f64 a) |
| 1.0b | 1 | (exp.f64 b) |
Compiled 302 to 202 computations (33.1% saved)
| Inputs |
|---|
1/2 |
(/.f64 1 b) |
(/.f64 1 2) |
(/.f64 1 (+.f64 b 2)) |
(+.f64 1/2 (*.f64 1/4 a)) |
(/.f64 1 (+.f64 2 b)) |
(+.f64 (/.f64 a b) (/.f64 1 b)) |
(*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1)) |
(*.f64 1/4 (*.f64 a (+.f64 (*.f64 -1/2 b) 1))) |
(*.f64 -1/2 (*.f64 b (+.f64 1/2 (*.f64 1/4 a)))) |
(*.f64 (+.f64 (*.f64 b -1/2) 1) (+.f64 1/2 (*.f64 1/4 a))) |
(*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 a 2)) 1) (+.f64 1/2 (*.f64 1/4 a))) |
(+.f64 (*.f64 a (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/2 b) (+.f64 1 (*.f64 1/4 b)))) (*.f64 1/4 (+.f64 (*.f64 -1/2 b) 1)))) (*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1))) |
(/.f64 (exp.f64 a) b) |
(/.f64 (exp.f64 a) 2) |
(/.f64 1 (+.f64 1 (exp.f64 b))) |
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a))) |
(*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a))) 1) (+.f64 1/2 (*.f64 1/4 a))) |
(/.f64 1 (expm1.f64 (log1p.f64 2))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) |
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 b))) |
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) |
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 b) a))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 1 b))) |
(/.f64 1 (expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 b))))) |
| Outputs |
|---|
(/.f64 1 (+.f64 1 (exp.f64 b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 1 b))) |
(/.f64 1 (+.f64 1 (exp.f64 b))) |
6 calls:
| 47.0ms | b |
| 14.0ms | (exp.f64 b) |
| 14.0ms | a |
| 7.0ms | (exp.f64 b) |
| 3.0ms | (exp.f64 a) |
| Error | Segments | Branch |
|---|---|---|
| 1.6b | 1 | a |
| 0.3b | 3 | b |
| 1.6b | 1 | (exp.f64 a) |
| 1.6b | 1 | (exp.f64 a) |
| 0.3b | 3 | (exp.f64 b) |
| 0.3b | 3 | (exp.f64 b) |
Compiled 224 to 160 computations (28.6% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0000298067102742 | +inf |
| 0.0ms | 0.0 | 0.5203397843071103 |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
1/2 |
(/.f64 1 b) |
(/.f64 1 2) |
(/.f64 1 (+.f64 b 2)) |
(+.f64 1/2 (*.f64 1/4 a)) |
(/.f64 1 (+.f64 2 b)) |
(+.f64 (/.f64 a b) (/.f64 1 b)) |
(*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1)) |
(*.f64 1/4 (*.f64 a (+.f64 (*.f64 -1/2 b) 1))) |
(*.f64 -1/2 (*.f64 b (+.f64 1/2 (*.f64 1/4 a)))) |
(*.f64 (+.f64 (*.f64 b -1/2) 1) (+.f64 1/2 (*.f64 1/4 a))) |
(*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 a 2)) 1) (+.f64 1/2 (*.f64 1/4 a))) |
(+.f64 (*.f64 a (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/2 b) (+.f64 1 (*.f64 1/4 b)))) (*.f64 1/4 (+.f64 (*.f64 -1/2 b) 1)))) (*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1))) |
(/.f64 (exp.f64 a) b) |
(/.f64 (exp.f64 a) 2) |
(/.f64 1 (+.f64 1 (exp.f64 b))) |
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a))) |
(*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a))) 1) (+.f64 1/2 (*.f64 1/4 a))) |
(/.f64 1 (expm1.f64 (log1p.f64 2))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) |
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 b))) |
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) |
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 b) a))) |
| Outputs |
|---|
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 b) a))) |
5 calls:
| 13.0ms | b |
| 12.0ms | a |
| 4.0ms | (exp.f64 a) |
| 4.0ms | (exp.f64 b) |
| 3.0ms | (exp.f64 a) |
| Error | Segments | Branch |
|---|---|---|
| 1.6b | 1 | a |
| 1.6b | 1 | b |
| 1.6b | 1 | (exp.f64 a) |
| 1.6b | 1 | (exp.f64 a) |
| 1.6b | 1 | (exp.f64 b) |
Compiled 203 to 147 computations (27.6% saved)
| Inputs |
|---|
1/2 |
(/.f64 1 b) |
(/.f64 1 2) |
(/.f64 1 (+.f64 b 2)) |
(+.f64 1/2 (*.f64 1/4 a)) |
(/.f64 1 (+.f64 2 b)) |
(+.f64 (/.f64 a b) (/.f64 1 b)) |
(*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1)) |
(*.f64 1/4 (*.f64 a (+.f64 (*.f64 -1/2 b) 1))) |
(*.f64 -1/2 (*.f64 b (+.f64 1/2 (*.f64 1/4 a)))) |
(*.f64 (+.f64 (*.f64 b -1/2) 1) (+.f64 1/2 (*.f64 1/4 a))) |
(*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 a 2)) 1) (+.f64 1/2 (*.f64 1/4 a))) |
(+.f64 (*.f64 a (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/2 b) (+.f64 1 (*.f64 1/4 b)))) (*.f64 1/4 (+.f64 (*.f64 -1/2 b) 1)))) (*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1))) |
(/.f64 (exp.f64 a) b) |
(/.f64 (exp.f64 a) 2) |
(/.f64 1 (+.f64 1 (exp.f64 b))) |
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a))) |
(*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a))) 1) (+.f64 1/2 (*.f64 1/4 a))) |
(/.f64 1 (expm1.f64 (log1p.f64 2))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) |
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 b))) |
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) |
| Outputs |
|---|
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 b))) |
4 calls:
| 13.0ms | a |
| 12.0ms | b |
| 3.0ms | (exp.f64 b) |
| 3.0ms | (exp.f64 a) |
| Error | Segments | Branch |
|---|---|---|
| 1.9b | 1 | a |
| 1.9b | 1 | b |
| 1.9b | 1 | (exp.f64 a) |
| 1.9b | 1 | (exp.f64 b) |
Compiled 190 to 140 computations (26.3% saved)
| Inputs |
|---|
1/2 |
(/.f64 1 b) |
(/.f64 1 2) |
(/.f64 1 (+.f64 b 2)) |
(+.f64 1/2 (*.f64 1/4 a)) |
(/.f64 1 (+.f64 2 b)) |
(+.f64 (/.f64 a b) (/.f64 1 b)) |
(*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1)) |
(*.f64 1/4 (*.f64 a (+.f64 (*.f64 -1/2 b) 1))) |
(*.f64 -1/2 (*.f64 b (+.f64 1/2 (*.f64 1/4 a)))) |
(*.f64 (+.f64 (*.f64 b -1/2) 1) (+.f64 1/2 (*.f64 1/4 a))) |
(*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 a 2)) 1) (+.f64 1/2 (*.f64 1/4 a))) |
(+.f64 (*.f64 a (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/2 b) (+.f64 1 (*.f64 1/4 b)))) (*.f64 1/4 (+.f64 (*.f64 -1/2 b) 1)))) (*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1))) |
(/.f64 (exp.f64 a) b) |
(/.f64 (exp.f64 a) 2) |
(/.f64 1 (+.f64 1 (exp.f64 b))) |
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a))) |
(*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a))) 1) (+.f64 1/2 (*.f64 1/4 a))) |
(/.f64 1 (expm1.f64 (log1p.f64 2))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) |
| Outputs |
|---|
(/.f64 1 (+.f64 1 (exp.f64 b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) |
(/.f64 1 (+.f64 1 (exp.f64 b))) |
4 calls:
| 33.0ms | b |
| 22.0ms | a |
| 6.0ms | (exp.f64 b) |
| 6.0ms | (exp.f64 a) |
| Error | Segments | Branch |
|---|---|---|
| 1.1b | 2 | a |
| 0.6b | 3 | b |
| 1.4b | 2 | (exp.f64 a) |
| 0.6b | 3 | (exp.f64 b) |
Compiled 176 to 134 computations (23.9% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0000000000253082 | 1.0000298067102742 |
| 0.0ms | 0.0 | 0.5203397843071103 |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
1/2 |
(/.f64 1 b) |
(/.f64 1 2) |
(/.f64 1 (+.f64 b 2)) |
(+.f64 1/2 (*.f64 1/4 a)) |
(/.f64 1 (+.f64 2 b)) |
(+.f64 (/.f64 a b) (/.f64 1 b)) |
(*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1)) |
(*.f64 1/4 (*.f64 a (+.f64 (*.f64 -1/2 b) 1))) |
(*.f64 -1/2 (*.f64 b (+.f64 1/2 (*.f64 1/4 a)))) |
(*.f64 (+.f64 (*.f64 b -1/2) 1) (+.f64 1/2 (*.f64 1/4 a))) |
(*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 a 2)) 1) (+.f64 1/2 (*.f64 1/4 a))) |
(+.f64 (*.f64 a (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/2 b) (+.f64 1 (*.f64 1/4 b)))) (*.f64 1/4 (+.f64 (*.f64 -1/2 b) 1)))) (*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1))) |
(/.f64 (exp.f64 a) b) |
(/.f64 (exp.f64 a) 2) |
(/.f64 1 (+.f64 1 (exp.f64 b))) |
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a))) |
(*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a))) 1) (+.f64 1/2 (*.f64 1/4 a))) |
(/.f64 1 (expm1.f64 (log1p.f64 2))) |
| Outputs |
|---|
(/.f64 1 (+.f64 1 (exp.f64 b))) |
(/.f64 (exp.f64 a) 2) |
(/.f64 1 (+.f64 1 (exp.f64 b))) |
4 calls:
| 41.0ms | b |
| 20.0ms | a |
| 7.0ms | (exp.f64 b) |
| 4.0ms | (exp.f64 a) |
| Error | Segments | Branch |
|---|---|---|
| 1.1b | 2 | a |
| 1.1b | 3 | b |
| 1.4b | 2 | (exp.f64 a) |
| 1.1b | 3 | (exp.f64 b) |
Compiled 169 to 131 computations (22.5% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0000000000253082 | 1.0000298067102742 |
| 0.0ms | 0.0 | 0.5203397843071103 |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
1/2 |
(/.f64 1 b) |
(/.f64 1 2) |
(/.f64 1 (+.f64 b 2)) |
(+.f64 1/2 (*.f64 1/4 a)) |
(/.f64 1 (+.f64 2 b)) |
(+.f64 (/.f64 a b) (/.f64 1 b)) |
(*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1)) |
(*.f64 1/4 (*.f64 a (+.f64 (*.f64 -1/2 b) 1))) |
(*.f64 -1/2 (*.f64 b (+.f64 1/2 (*.f64 1/4 a)))) |
(*.f64 (+.f64 (*.f64 b -1/2) 1) (+.f64 1/2 (*.f64 1/4 a))) |
(*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 a 2)) 1) (+.f64 1/2 (*.f64 1/4 a))) |
(+.f64 (*.f64 a (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/2 b) (+.f64 1 (*.f64 1/4 b)))) (*.f64 1/4 (+.f64 (*.f64 -1/2 b) 1)))) (*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1))) |
(/.f64 (exp.f64 a) b) |
(/.f64 (exp.f64 a) 2) |
| Outputs |
|---|
(/.f64 (exp.f64 a) 2) |
3 calls:
| 16.0ms | a |
| 13.0ms | b |
| 3.0ms | (exp.f64 a) |
| Error | Segments | Branch |
|---|---|---|
| 21.3b | 1 | a |
| 21.3b | 1 | b |
| 21.3b | 1 | (exp.f64 a) |
Compiled 128 to 99 computations (22.7% saved)
| Inputs |
|---|
1/2 |
(/.f64 1 b) |
(/.f64 1 2) |
(/.f64 1 (+.f64 b 2)) |
(+.f64 1/2 (*.f64 1/4 a)) |
(/.f64 1 (+.f64 2 b)) |
(+.f64 (/.f64 a b) (/.f64 1 b)) |
(*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1)) |
(*.f64 1/4 (*.f64 a (+.f64 (*.f64 -1/2 b) 1))) |
(*.f64 -1/2 (*.f64 b (+.f64 1/2 (*.f64 1/4 a)))) |
(*.f64 (+.f64 (*.f64 b -1/2) 1) (+.f64 1/2 (*.f64 1/4 a))) |
(*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 a 2)) 1) (+.f64 1/2 (*.f64 1/4 a))) |
(+.f64 (*.f64 a (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/2 b) (+.f64 1 (*.f64 1/4 b)))) (*.f64 1/4 (+.f64 (*.f64 -1/2 b) 1)))) (*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1))) |
(/.f64 (exp.f64 a) b) |
| Outputs |
|---|
(/.f64 (exp.f64 a) b) |
(+.f64 1/2 (*.f64 1/4 a)) |
4 calls:
| 52.0ms | b |
| 28.0ms | a |
| 8.0ms | (exp.f64 a) |
| 7.0ms | (exp.f64 a) |
| Error | Segments | Branch |
|---|---|---|
| 21.1b | 2 | a |
| 30.9b | 4 | b |
| 21.1b | 2 | (exp.f64 a) |
| 21.1b | 2 | (exp.f64 a) |
Compiled 128 to 100 computations (21.9% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 35.0ms | -0.0009089177211026651 | -1.042842068266782e-5 |
Compiled 15 to 10 computations (33.3% saved)
Total -25.8b remaining (-69.4%)
Threshold costs -25.8b (-69.4%)
| Inputs |
|---|
1/2 |
(/.f64 1 b) |
(/.f64 1 2) |
(/.f64 1 (+.f64 b 2)) |
(+.f64 1/2 (*.f64 1/4 a)) |
(/.f64 1 (+.f64 2 b)) |
(+.f64 (/.f64 a b) (/.f64 1 b)) |
(*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1)) |
(*.f64 1/4 (*.f64 a (+.f64 (*.f64 -1/2 b) 1))) |
(*.f64 -1/2 (*.f64 b (+.f64 1/2 (*.f64 1/4 a)))) |
(*.f64 (+.f64 (*.f64 b -1/2) 1) (+.f64 1/2 (*.f64 1/4 a))) |
(*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 a 2)) 1) (+.f64 1/2 (*.f64 1/4 a))) |
(+.f64 (*.f64 a (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/2 b) (+.f64 1 (*.f64 1/4 b)))) (*.f64 1/4 (+.f64 (*.f64 -1/2 b) 1)))) (*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1))) |
| Outputs |
|---|
1/2 |
2 calls:
| 14.0ms | b |
| 14.0ms | a |
| Error | Segments | Branch |
|---|---|---|
| 37.2b | 1 | a |
| 37.2b | 1 | b |
Compiled 116 to 92 computations (20.7% saved)
| 1× | egg-herbie |
| 8× | +-commutative_binary64 |
| 1× | *-commutative_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 197 |
| 1 | 51 | 197 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(if (<=.f64 (exp.f64 b) 0) (/.f64 1 (+.f64 1 (exp.f64 b))) (if (<=.f64 (exp.f64 b) 2) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 1 b))) (/.f64 1 (+.f64 1 (exp.f64 b))))) |
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 b) a))) |
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 b))) |
(if (<=.f64 (exp.f64 b) 0) (/.f64 1 (+.f64 1 (exp.f64 b))) (if (<=.f64 (exp.f64 b) 4503689699363043/4503599627370496) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) (/.f64 1 (+.f64 1 (exp.f64 b))))) |
(if (<=.f64 (exp.f64 b) 0) (/.f64 1 (+.f64 1 (exp.f64 b))) (if (<=.f64 (exp.f64 b) 4503689699363043/4503599627370496) (/.f64 (exp.f64 a) 2) (/.f64 1 (+.f64 1 (exp.f64 b))))) |
(/.f64 (exp.f64 a) 2) |
(if (<=.f64 a -16766572585240178/18446744073709551616) (/.f64 (exp.f64 a) b) (+.f64 1/2 (*.f64 1/4 a))) |
1/2 |
| Outputs |
|---|
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) |
(if (<=.f64 (exp.f64 b) 0) (/.f64 1 (+.f64 1 (exp.f64 b))) (if (<=.f64 (exp.f64 b) 2) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 1 b))) (/.f64 1 (+.f64 1 (exp.f64 b))))) |
(if (<=.f64 (exp.f64 b) 0) (/.f64 1 (+.f64 (exp.f64 b) 1)) (if (<=.f64 (exp.f64 b) 2) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 b 1))) (/.f64 1 (+.f64 (exp.f64 b) 1)))) |
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 b) a))) |
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 a (exp.f64 b)))) |
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 b))) |
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) 1)) |
(if (<=.f64 (exp.f64 b) 0) (/.f64 1 (+.f64 1 (exp.f64 b))) (if (<=.f64 (exp.f64 b) 4503689699363043/4503599627370496) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) (/.f64 1 (+.f64 1 (exp.f64 b))))) |
(if (<=.f64 (exp.f64 b) 0) (/.f64 1 (+.f64 (exp.f64 b) 1)) (if (<=.f64 (exp.f64 b) 4503689699363043/4503599627370496) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) (/.f64 1 (+.f64 (exp.f64 b) 1)))) |
(if (<=.f64 (exp.f64 b) 0) (/.f64 1 (+.f64 1 (exp.f64 b))) (if (<=.f64 (exp.f64 b) 4503689699363043/4503599627370496) (/.f64 (exp.f64 a) 2) (/.f64 1 (+.f64 1 (exp.f64 b))))) |
(if (<=.f64 (exp.f64 b) 0) (/.f64 1 (+.f64 (exp.f64 b) 1)) (if (<=.f64 (exp.f64 b) 4503689699363043/4503599627370496) (/.f64 (exp.f64 a) 2) (/.f64 1 (+.f64 (exp.f64 b) 1)))) |
(/.f64 (exp.f64 a) 2) |
(if (<=.f64 a -16766572585240178/18446744073709551616) (/.f64 (exp.f64 a) b) (+.f64 1/2 (*.f64 1/4 a))) |
(if (<=.f64 a -8383286292620089/9223372036854775808) (/.f64 (exp.f64 a) b) (+.f64 1/2 (*.f64 a 1/4))) |
1/2 |
Compiled 146 to 103 computations (29.5% saved)
| 1× | egg-herbie |
| 763× | distribute-rgt-in_binary64 |
| 740× | distribute-lft-in_binary64 |
| 578× | cancel-sign-sub-inv_binary64 |
| 396× | fma-def_binary64 |
| 396× | fma-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 90 | 686 |
| 1 | 273 | 662 |
| 2 | 875 | 638 |
| 3 | 3997 | 617 |
| 1× | node limit |
Compiled 32 to 24 computations (25% saved)
Compiled 130 to 75 computations (42.3% saved)
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