Time bar (total: 2.4s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 0% | 100% | 0 |
| 0% | 0% | 100% | 1 |
Compiled 53 to 38 computations (28.3% saved)
| 1.1s | 8256× | body | 128 | valid |
Compiled 106 to 76 computations (28.3% saved)
| 2× | egg-herbie |
| 164× | associate-+l+_binary64 |
| 66× | associate-+r+_binary64 |
| 47× | +-commutative_binary64 |
| 1× | swap-a-e |
| 1× | swap-a-d |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 143 |
| 1 | 127 | 143 |
| 2 | 304 | 143 |
| 3 | 350 | 143 |
| 0 | 5 | 5 |
| 1 | 5 | 5 |
| 1× | unsound |
| 1× | saturated |
| Inputs |
|---|
0 |
1 |
2 |
3 |
4 |
| Outputs |
|---|
0 |
1 |
0 |
2 |
0 |
3 |
0 |
4 |
0 |
| Inputs |
|---|
(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) |
(+.f64 (+.f64 (+.f64 (+.f64 e d) c) a) b) |
(+.f64 (+.f64 (+.f64 (+.f64 e d) a) b) c) |
(+.f64 (+.f64 (+.f64 (+.f64 e a) c) b) d) |
(+.f64 (+.f64 (+.f64 (+.f64 a d) c) b) e) |
(+.f64 (+.f64 (+.f64 (+.f64 e d) b) c) a) |
(+.f64 (+.f64 (+.f64 (+.f64 e b) c) d) a) |
(+.f64 (+.f64 (+.f64 (+.f64 b d) c) e) a) |
(+.f64 (+.f64 (+.f64 (+.f64 e c) d) b) a) |
(+.f64 (+.f64 (+.f64 (+.f64 c d) e) b) a) |
(+.f64 (+.f64 (+.f64 (+.f64 d e) c) b) a) |
| Outputs |
|---|
(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) |
(+.f64 a (+.f64 (+.f64 e d) (+.f64 c b))) |
(+.f64 e (+.f64 d (+.f64 a (+.f64 c b)))) |
(+.f64 e (+.f64 b (+.f64 d (+.f64 c a)))) |
(+.f64 (+.f64 (+.f64 (+.f64 e d) c) a) b) |
(+.f64 a (+.f64 (+.f64 e d) (+.f64 c b))) |
(+.f64 e (+.f64 d (+.f64 a (+.f64 c b)))) |
(+.f64 e (+.f64 b (+.f64 d (+.f64 c a)))) |
(+.f64 (+.f64 (+.f64 (+.f64 e d) a) b) c) |
(+.f64 a (+.f64 (+.f64 e d) (+.f64 c b))) |
(+.f64 e (+.f64 d (+.f64 a (+.f64 c b)))) |
(+.f64 e (+.f64 b (+.f64 d (+.f64 c a)))) |
(+.f64 (+.f64 (+.f64 (+.f64 e a) c) b) d) |
(+.f64 a (+.f64 (+.f64 e d) (+.f64 c b))) |
(+.f64 e (+.f64 d (+.f64 a (+.f64 c b)))) |
(+.f64 e (+.f64 b (+.f64 d (+.f64 c a)))) |
(+.f64 (+.f64 (+.f64 (+.f64 a d) c) b) e) |
(+.f64 a (+.f64 (+.f64 e d) (+.f64 c b))) |
(+.f64 e (+.f64 d (+.f64 a (+.f64 c b)))) |
(+.f64 e (+.f64 b (+.f64 d (+.f64 c a)))) |
(+.f64 (+.f64 (+.f64 (+.f64 e d) b) c) a) |
(+.f64 a (+.f64 (+.f64 e d) (+.f64 c b))) |
(+.f64 e (+.f64 d (+.f64 a (+.f64 c b)))) |
(+.f64 e (+.f64 b (+.f64 d (+.f64 c a)))) |
(+.f64 (+.f64 (+.f64 (+.f64 e b) c) d) a) |
(+.f64 a (+.f64 (+.f64 e d) (+.f64 c b))) |
(+.f64 e (+.f64 d (+.f64 a (+.f64 c b)))) |
(+.f64 e (+.f64 b (+.f64 d (+.f64 c a)))) |
(+.f64 (+.f64 (+.f64 (+.f64 b d) c) e) a) |
(+.f64 a (+.f64 (+.f64 e d) (+.f64 c b))) |
(+.f64 e (+.f64 d (+.f64 a (+.f64 c b)))) |
(+.f64 e (+.f64 b (+.f64 d (+.f64 c a)))) |
(+.f64 (+.f64 (+.f64 (+.f64 e c) d) b) a) |
(+.f64 a (+.f64 (+.f64 e d) (+.f64 c b))) |
(+.f64 e (+.f64 d (+.f64 a (+.f64 c b)))) |
(+.f64 e (+.f64 b (+.f64 d (+.f64 c a)))) |
(+.f64 (+.f64 (+.f64 (+.f64 c d) e) b) a) |
(+.f64 a (+.f64 (+.f64 e d) (+.f64 c b))) |
(+.f64 e (+.f64 d (+.f64 a (+.f64 c b)))) |
(+.f64 e (+.f64 b (+.f64 d (+.f64 c a)))) |
(+.f64 (+.f64 (+.f64 (+.f64 d e) c) b) a) |
(+.f64 a (+.f64 (+.f64 e d) (+.f64 c b))) |
(+.f64 e (+.f64 d (+.f64 a (+.f64 c b)))) |
(+.f64 e (+.f64 b (+.f64 d (+.f64 c a)))) |
(sort a b c d e)
Compiled 14 to 9 computations (35.7% saved)
| 1× | egg-herbie |
| 125× | associate-+l+_binary64 |
| 97× | associate-+r+_binary64 |
| 51× | +-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 13 |
| 1 | 20 | 13 |
| 2 | 59 | 13 |
| 3 | 188 | 13 |
| 4 | 339 | 13 |
| 5 | 339 | 13 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) |
| Outputs |
|---|
(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) |
(+.f64 (+.f64 e (+.f64 d c)) (+.f64 b a)) |
(+.f64 e (+.f64 (+.f64 d c) (+.f64 b a))) |
(+.f64 (+.f64 e d) (+.f64 b (+.f64 c a))) |
(+.f64 e (+.f64 c (+.f64 a (+.f64 d b)))) |
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 2 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.2b | (+.f64 e (+.f64 c (+.f64 a (+.f64 d b)))) |
| 0.4b | (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) |
Compiled 79 to 49 computations (38% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (+.f64 c (+.f64 a (+.f64 d b))) |
| ✓ | 0.2b | (+.f64 e (+.f64 c (+.f64 a (+.f64 d b)))) |
| ✓ | 0.2b | (+.f64 a (+.f64 d b)) |
36 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | a | @ | inf | (+.f64 a (+.f64 d b)) |
| 0.0ms | c | @ | inf | (+.f64 e (+.f64 c (+.f64 a (+.f64 d b)))) |
| 0.0ms | e | @ | inf | (+.f64 e (+.f64 c (+.f64 a (+.f64 d b)))) |
| 0.0ms | a | @ | 0 | (+.f64 a (+.f64 d b)) |
| 0.0ms | d | @ | inf | (+.f64 a (+.f64 d b)) |
| 1× | batch-egg-rewrite |
| 426× | fma-neg_binary64 |
| 236× | expm1-udef_binary64 |
| 236× | log1p-udef_binary64 |
| 136× | add-sqr-sqrt_binary64 |
| 135× | *-un-lft-identity_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 30 |
| 1 | 242 | 30 |
| 2 | 3999 | 30 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 a (+.f64 d b)) |
(+.f64 e (+.f64 c (+.f64 a (+.f64 d b)))) |
(+.f64 c (+.f64 a (+.f64 d b))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 d (+.f64 b a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 a a) (-.f64 (-.f64 a d) b)) (/.f64 (pow.f64 (+.f64 d b) 2) (-.f64 (-.f64 a d) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 d (+.f64 b a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 d (+.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 d (+.f64 b a))) (pow.f64 (cbrt.f64 (+.f64 d (+.f64 b a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 d (+.f64 b a))) 2) (cbrt.f64 (+.f64 d (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 d (+.f64 b a))) (sqrt.f64 (+.f64 d (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 a 3) (pow.f64 (+.f64 d b) 3)) (/.f64 1 (fma.f64 a a (*.f64 (+.f64 d b) (-.f64 (+.f64 d b) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 a a) (pow.f64 (+.f64 d b) 2)) (/.f64 1 (-.f64 (-.f64 a d) b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 a a (*.f64 (+.f64 d b) (-.f64 (+.f64 d b) a))) (+.f64 (pow.f64 a 3) (pow.f64 (+.f64 d b) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (-.f64 a d) b) (-.f64 (*.f64 a a) (pow.f64 (+.f64 d b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 a 3) (pow.f64 (+.f64 d b) 3)) (fma.f64 a a (*.f64 (+.f64 d b) (-.f64 (+.f64 d b) a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 a 3) (pow.f64 (+.f64 d b) 3)) (+.f64 (pow.f64 (+.f64 d b) 2) (-.f64 (*.f64 a a) (*.f64 a (+.f64 d b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 a a) (pow.f64 (+.f64 d b) 2)) (-.f64 (-.f64 a d) b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 a 3) (pow.f64 (+.f64 d b) 3))) (neg.f64 (fma.f64 a a (*.f64 (+.f64 d b) (-.f64 (+.f64 d b) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 a a) (pow.f64 (+.f64 d b) 2))) (neg.f64 (-.f64 (-.f64 a d) b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 a d) 3) (pow.f64 b 3)) (+.f64 (*.f64 (+.f64 a d) (+.f64 a d)) (-.f64 (*.f64 b b) (*.f64 (+.f64 a d) b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 d b) 2) (*.f64 a a)) (-.f64 (+.f64 d b) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 a d) (+.f64 a d)) (*.f64 b b)) (-.f64 (+.f64 a d) b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 d (+.f64 b a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 d (+.f64 b a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 d (+.f64 b a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 d (+.f64 b a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 d (+.f64 b a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 d (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 d (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 d (+.f64 b a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 d (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 d (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 a (+.f64 d b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 d b) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 d b) 2)) (cbrt.f64 (+.f64 d b)) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 a a)) (cbrt.f64 a) (+.f64 d b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 d b)) (sqrt.f64 (+.f64 d b)) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (sqrt.f64 a) (+.f64 d b))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 d (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 d (+.f64 b a))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (+.f64 d (+.f64 b a)) (+.f64 e c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 e e) (-.f64 e (+.f64 (+.f64 c (+.f64 a d)) b))) (/.f64 (pow.f64 (+.f64 (+.f64 c (+.f64 a d)) b) 2) (-.f64 e (+.f64 (+.f64 c (+.f64 a d)) b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 d (+.f64 b a)) (+.f64 e c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (+.f64 d (+.f64 b a)) (+.f64 e c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (+.f64 d (+.f64 b a)) (+.f64 e c))) (pow.f64 (cbrt.f64 (+.f64 (+.f64 d (+.f64 b a)) (+.f64 e c))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 d (+.f64 b a)) (+.f64 e c))) 2) (cbrt.f64 (+.f64 (+.f64 d (+.f64 b a)) (+.f64 e c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (+.f64 d (+.f64 b a)) (+.f64 e c))) (sqrt.f64 (+.f64 (+.f64 d (+.f64 b a)) (+.f64 e c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 e 3) (pow.f64 (+.f64 (+.f64 c (+.f64 a d)) b) 3)) (/.f64 1 (fma.f64 e e (*.f64 (+.f64 (+.f64 c (+.f64 a d)) b) (-.f64 (+.f64 (+.f64 c (+.f64 a d)) b) e)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 e e) (pow.f64 (+.f64 (+.f64 c (+.f64 a d)) b) 2)) (/.f64 1 (-.f64 e (+.f64 (+.f64 c (+.f64 a d)) b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 e e (*.f64 (+.f64 (+.f64 c (+.f64 a d)) b) (-.f64 (+.f64 (+.f64 c (+.f64 a d)) b) e))) (+.f64 (pow.f64 e 3) (pow.f64 (+.f64 (+.f64 c (+.f64 a d)) b) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 e (+.f64 (+.f64 c (+.f64 a d)) b)) (-.f64 (*.f64 e e) (pow.f64 (+.f64 (+.f64 c (+.f64 a d)) b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 e 3) (pow.f64 (+.f64 (+.f64 c (+.f64 a d)) b) 3)) (fma.f64 e e (*.f64 (+.f64 (+.f64 c (+.f64 a d)) b) (-.f64 (+.f64 (+.f64 c (+.f64 a d)) b) e))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 e 3) (pow.f64 (+.f64 (+.f64 c (+.f64 a d)) b) 3)) (+.f64 (pow.f64 (+.f64 (+.f64 c (+.f64 a d)) b) 2) (-.f64 (*.f64 e e) (*.f64 e (+.f64 (+.f64 c (+.f64 a d)) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 e e) (pow.f64 (+.f64 (+.f64 c (+.f64 a d)) b) 2)) (-.f64 e (+.f64 (+.f64 c (+.f64 a d)) b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 e 3) (pow.f64 (+.f64 (+.f64 c (+.f64 a d)) b) 3))) (neg.f64 (fma.f64 e e (*.f64 (+.f64 (+.f64 c (+.f64 a d)) b) (-.f64 (+.f64 (+.f64 c (+.f64 a d)) b) e)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 e e) (pow.f64 (+.f64 (+.f64 c (+.f64 a d)) b) 2))) (neg.f64 (-.f64 e (+.f64 (+.f64 c (+.f64 a d)) b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 e c) 3) (pow.f64 (+.f64 d (+.f64 b a)) 3)) (+.f64 (*.f64 (+.f64 e c) (+.f64 e c)) (-.f64 (pow.f64 (+.f64 d (+.f64 b a)) 2) (*.f64 (+.f64 e c) (+.f64 d (+.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 (+.f64 c (+.f64 a d)) b) 2) (*.f64 e e)) (-.f64 (+.f64 (+.f64 c (+.f64 a d)) b) e))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 e c) (+.f64 e c)) (pow.f64 (+.f64 d (+.f64 b a)) 2)) (-.f64 (+.f64 e c) (+.f64 d (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (+.f64 d (+.f64 b a)) (+.f64 e c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (+.f64 d (+.f64 b a)) (+.f64 e c)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (+.f64 d (+.f64 b a)) (+.f64 e c))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (+.f64 d (+.f64 b a)) (+.f64 e c))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (+.f64 d (+.f64 b a)) (+.f64 e c)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (+.f64 d (+.f64 b a)) (+.f64 e c))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 d (+.f64 b a)) (+.f64 e c)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (+.f64 d (+.f64 b a)) (+.f64 e c)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (+.f64 d (+.f64 b a)) (+.f64 e c))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (+.f64 d (+.f64 b a)) (+.f64 e c))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 e (+.f64 (+.f64 c (+.f64 a d)) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (+.f64 c (+.f64 a d)) b) e)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 c (+.f64 a d)) b)) 2) (cbrt.f64 (+.f64 (+.f64 c (+.f64 a d)) b)) e)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 e) 2) (cbrt.f64 e) (+.f64 (+.f64 c (+.f64 a d)) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (+.f64 c (+.f64 a d)) b)) (sqrt.f64 (+.f64 (+.f64 c (+.f64 a d)) b)) e)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 e) (sqrt.f64 e) (+.f64 (+.f64 c (+.f64 a d)) b))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (+.f64 d (+.f64 b a)) (+.f64 e c))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 d (+.f64 b a)) (+.f64 e c))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (+.f64 c (+.f64 a d)) b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 c c) (-.f64 (-.f64 c (+.f64 a d)) b)) (/.f64 (pow.f64 (+.f64 d (+.f64 b a)) 2) (-.f64 (-.f64 c (+.f64 a d)) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 c (+.f64 a d)) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (+.f64 c (+.f64 a d)) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (+.f64 c (+.f64 a d)) b)) (pow.f64 (cbrt.f64 (+.f64 (+.f64 c (+.f64 a d)) b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 c (+.f64 a d)) b)) 2) (cbrt.f64 (+.f64 (+.f64 c (+.f64 a d)) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (+.f64 c (+.f64 a d)) b)) (sqrt.f64 (+.f64 (+.f64 c (+.f64 a d)) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 c 3) (pow.f64 (+.f64 d (+.f64 b a)) 3)) (/.f64 1 (fma.f64 c c (*.f64 (+.f64 d (+.f64 b a)) (-.f64 (+.f64 d (+.f64 b a)) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 c c) (pow.f64 (+.f64 d (+.f64 b a)) 2)) (/.f64 1 (-.f64 (-.f64 c (+.f64 a d)) b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 c c (*.f64 (+.f64 d (+.f64 b a)) (-.f64 (+.f64 d (+.f64 b a)) c))) (+.f64 (pow.f64 c 3) (pow.f64 (+.f64 d (+.f64 b a)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (-.f64 c (+.f64 a d)) b) (-.f64 (*.f64 c c) (pow.f64 (+.f64 d (+.f64 b a)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 c 3) (pow.f64 (+.f64 d (+.f64 b a)) 3)) (fma.f64 c c (*.f64 (+.f64 d (+.f64 b a)) (-.f64 (+.f64 d (+.f64 b a)) c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 c 3) (pow.f64 (+.f64 d (+.f64 b a)) 3)) (+.f64 (pow.f64 (+.f64 d (+.f64 b a)) 2) (-.f64 (*.f64 c c) (*.f64 (+.f64 d (+.f64 b a)) c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 c c) (pow.f64 (+.f64 d (+.f64 b a)) 2)) (-.f64 (-.f64 c (+.f64 a d)) b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 c 3) (pow.f64 (+.f64 d (+.f64 b a)) 3))) (neg.f64 (fma.f64 c c (*.f64 (+.f64 d (+.f64 b a)) (-.f64 (+.f64 d (+.f64 b a)) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 c c) (pow.f64 (+.f64 d (+.f64 b a)) 2))) (neg.f64 (-.f64 (-.f64 c (+.f64 a d)) b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 a c) 3) (pow.f64 (+.f64 d b) 3)) (+.f64 (*.f64 (+.f64 a c) (+.f64 a c)) (-.f64 (pow.f64 (+.f64 d b) 2) (*.f64 (+.f64 a c) (+.f64 d b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 d (+.f64 b a)) 2) (*.f64 c c)) (-.f64 (+.f64 d (+.f64 b a)) c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 a c) (+.f64 a c)) (pow.f64 (+.f64 d b) 2)) (-.f64 (+.f64 a c) (+.f64 d b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (+.f64 c (+.f64 a d)) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (+.f64 c (+.f64 a d)) b)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (+.f64 c (+.f64 a d)) b)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (+.f64 c (+.f64 a d)) b) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (+.f64 c (+.f64 a d)) b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (+.f64 c (+.f64 a d)) b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 c (+.f64 a d)) b))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (+.f64 c (+.f64 a d)) b) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (+.f64 c (+.f64 a d)) b)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (+.f64 c (+.f64 a d)) b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 d (+.f64 b a)) c)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 c (+.f64 d (+.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 c c)) (cbrt.f64 c) (+.f64 d (+.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 d (+.f64 b a))) 2) (cbrt.f64 (+.f64 d (+.f64 b a))) c)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 c) (sqrt.f64 c) (+.f64 d (+.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 d (+.f64 b a))) (sqrt.f64 (+.f64 d (+.f64 b a))) c)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (+.f64 c (+.f64 a d)) b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 c (+.f64 a d)) b)) 1)))))) |
| 1× | egg-herbie |
| 130× | associate-+l+_binary64 |
| 56× | associate-+r+_binary64 |
| 40× | +-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 699 |
| 1 | 57 | 699 |
| 2 | 139 | 699 |
| 3 | 259 | 699 |
| 4 | 270 | 699 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 d b) |
a |
a |
(+.f64 a b) |
d |
d |
(+.f64 a d) |
b |
b |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
e |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
e |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 d (+.f64 b e))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
c |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
c |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 d (+.f64 b e))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
a |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
a |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 b e))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
d |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
d |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d e))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
b |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
b |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 d b)) |
c |
c |
(+.f64 c (+.f64 d b)) |
a |
a |
(+.f64 c (+.f64 a b)) |
d |
d |
(+.f64 c (+.f64 a d)) |
b |
b |
| Outputs |
|---|
(+.f64 d b) |
a |
a |
(+.f64 a b) |
(+.f64 b a) |
d |
d |
(+.f64 a d) |
(+.f64 d a) |
b |
b |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 c (+.f64 (+.f64 d b) a)) |
(+.f64 (+.f64 d b) (+.f64 a c)) |
(+.f64 d (+.f64 b (+.f64 a c))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 (+.f64 b (+.f64 d e)) (+.f64 a c)) |
(+.f64 d (+.f64 b (+.f64 a (+.f64 c e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 (+.f64 b (+.f64 d e)) (+.f64 a c)) |
(+.f64 d (+.f64 b (+.f64 a (+.f64 c e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 (+.f64 b (+.f64 d e)) (+.f64 a c)) |
(+.f64 d (+.f64 b (+.f64 a (+.f64 c e)))) |
e |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 (+.f64 b (+.f64 d e)) (+.f64 a c)) |
(+.f64 d (+.f64 b (+.f64 a (+.f64 c e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 (+.f64 b (+.f64 d e)) (+.f64 a c)) |
(+.f64 d (+.f64 b (+.f64 a (+.f64 c e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 (+.f64 b (+.f64 d e)) (+.f64 a c)) |
(+.f64 d (+.f64 b (+.f64 a (+.f64 c e)))) |
e |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 (+.f64 b (+.f64 d e)) (+.f64 a c)) |
(+.f64 d (+.f64 b (+.f64 a (+.f64 c e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 (+.f64 b (+.f64 d e)) (+.f64 a c)) |
(+.f64 d (+.f64 b (+.f64 a (+.f64 c e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 (+.f64 b (+.f64 d e)) (+.f64 a c)) |
(+.f64 d (+.f64 b (+.f64 a (+.f64 c e)))) |
(+.f64 a (+.f64 d (+.f64 b e))) |
(+.f64 d (+.f64 b (+.f64 a e))) |
(+.f64 b (+.f64 a (+.f64 d e))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 (+.f64 b (+.f64 d e)) (+.f64 a c)) |
(+.f64 d (+.f64 b (+.f64 a (+.f64 c e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 (+.f64 b (+.f64 d e)) (+.f64 a c)) |
(+.f64 d (+.f64 b (+.f64 a (+.f64 c e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 (+.f64 b (+.f64 d e)) (+.f64 a c)) |
(+.f64 d (+.f64 b (+.f64 a (+.f64 c e)))) |
c |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 (+.f64 b (+.f64 d e)) (+.f64 a c)) |
(+.f64 d (+.f64 b (+.f64 a (+.f64 c e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 (+.f64 b (+.f64 d e)) (+.f64 a c)) |
(+.f64 d (+.f64 b (+.f64 a (+.f64 c e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 (+.f64 b (+.f64 d e)) (+.f64 a c)) |
(+.f64 d (+.f64 b (+.f64 a (+.f64 c e)))) |
c |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 (+.f64 b (+.f64 d e)) (+.f64 a c)) |
(+.f64 d (+.f64 b (+.f64 a (+.f64 c e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 (+.f64 b (+.f64 d e)) (+.f64 a c)) |
(+.f64 d (+.f64 b (+.f64 a (+.f64 c e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 (+.f64 b (+.f64 d e)) (+.f64 a c)) |
(+.f64 d (+.f64 b (+.f64 a (+.f64 c e)))) |
(+.f64 c (+.f64 d (+.f64 b e))) |
(+.f64 (+.f64 d b) (+.f64 e c)) |
(+.f64 b (+.f64 d (+.f64 c e))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 (+.f64 b (+.f64 d e)) (+.f64 a c)) |
(+.f64 d (+.f64 b (+.f64 a (+.f64 c e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 (+.f64 b (+.f64 d e)) (+.f64 a c)) |
(+.f64 d (+.f64 b (+.f64 a (+.f64 c e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 (+.f64 b (+.f64 d e)) (+.f64 a c)) |
(+.f64 d (+.f64 b (+.f64 a (+.f64 c e)))) |
a |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 (+.f64 b (+.f64 d e)) (+.f64 a c)) |
(+.f64 d (+.f64 b (+.f64 a (+.f64 c e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 (+.f64 b (+.f64 d e)) (+.f64 a c)) |
(+.f64 d (+.f64 b (+.f64 a (+.f64 c e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 (+.f64 b (+.f64 d e)) (+.f64 a c)) |
(+.f64 d (+.f64 b (+.f64 a (+.f64 c e)))) |
a |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 (+.f64 b (+.f64 d e)) (+.f64 a c)) |
(+.f64 d (+.f64 b (+.f64 a (+.f64 c e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 (+.f64 b (+.f64 d e)) (+.f64 a c)) |
(+.f64 d (+.f64 b (+.f64 a (+.f64 c e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 (+.f64 b (+.f64 d e)) (+.f64 a c)) |
(+.f64 d (+.f64 b (+.f64 a (+.f64 c e)))) |
(+.f64 c (+.f64 a (+.f64 b e))) |
(+.f64 a (+.f64 (+.f64 b e) c)) |
(+.f64 b (+.f64 a (+.f64 c e))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 (+.f64 b (+.f64 d e)) (+.f64 a c)) |
(+.f64 d (+.f64 b (+.f64 a (+.f64 c e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 (+.f64 b (+.f64 d e)) (+.f64 a c)) |
(+.f64 d (+.f64 b (+.f64 a (+.f64 c e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 (+.f64 b (+.f64 d e)) (+.f64 a c)) |
(+.f64 d (+.f64 b (+.f64 a (+.f64 c e)))) |
d |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 (+.f64 b (+.f64 d e)) (+.f64 a c)) |
(+.f64 d (+.f64 b (+.f64 a (+.f64 c e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 (+.f64 b (+.f64 d e)) (+.f64 a c)) |
(+.f64 d (+.f64 b (+.f64 a (+.f64 c e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 (+.f64 b (+.f64 d e)) (+.f64 a c)) |
(+.f64 d (+.f64 b (+.f64 a (+.f64 c e)))) |
d |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 (+.f64 b (+.f64 d e)) (+.f64 a c)) |
(+.f64 d (+.f64 b (+.f64 a (+.f64 c e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 (+.f64 b (+.f64 d e)) (+.f64 a c)) |
(+.f64 d (+.f64 b (+.f64 a (+.f64 c e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 (+.f64 b (+.f64 d e)) (+.f64 a c)) |
(+.f64 d (+.f64 b (+.f64 a (+.f64 c e)))) |
(+.f64 c (+.f64 a (+.f64 d e))) |
(+.f64 (+.f64 c a) (+.f64 d e)) |
(+.f64 a (+.f64 (+.f64 d e) c)) |
(+.f64 d (+.f64 a (+.f64 c e))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 (+.f64 b (+.f64 d e)) (+.f64 a c)) |
(+.f64 d (+.f64 b (+.f64 a (+.f64 c e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 (+.f64 b (+.f64 d e)) (+.f64 a c)) |
(+.f64 d (+.f64 b (+.f64 a (+.f64 c e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 (+.f64 b (+.f64 d e)) (+.f64 a c)) |
(+.f64 d (+.f64 b (+.f64 a (+.f64 c e)))) |
b |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 (+.f64 b (+.f64 d e)) (+.f64 a c)) |
(+.f64 d (+.f64 b (+.f64 a (+.f64 c e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 (+.f64 b (+.f64 d e)) (+.f64 a c)) |
(+.f64 d (+.f64 b (+.f64 a (+.f64 c e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 (+.f64 b (+.f64 d e)) (+.f64 a c)) |
(+.f64 d (+.f64 b (+.f64 a (+.f64 c e)))) |
b |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 (+.f64 b (+.f64 d e)) (+.f64 a c)) |
(+.f64 d (+.f64 b (+.f64 a (+.f64 c e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 (+.f64 b (+.f64 d e)) (+.f64 a c)) |
(+.f64 d (+.f64 b (+.f64 a (+.f64 c e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 (+.f64 b (+.f64 d e)) (+.f64 a c)) |
(+.f64 d (+.f64 b (+.f64 a (+.f64 c e)))) |
(+.f64 a (+.f64 d b)) |
(+.f64 (+.f64 d b) a) |
(+.f64 b (+.f64 d a)) |
(+.f64 d (+.f64 b a)) |
c |
c |
(+.f64 c (+.f64 d b)) |
(+.f64 (+.f64 d b) c) |
(+.f64 d (+.f64 b c)) |
a |
a |
(+.f64 c (+.f64 a b)) |
(+.f64 (+.f64 c a) b) |
(+.f64 b (+.f64 a c)) |
d |
d |
(+.f64 c (+.f64 a d)) |
(+.f64 (+.f64 d a) c) |
(+.f64 d (+.f64 a c)) |
(+.f64 a (+.f64 d c)) |
b |
b |
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 134 | 7 | 141 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 135 | 8 | 143 |
| Status | Error | Program |
|---|---|---|
| 0.4b | (+.f64 e (+.f64 c (expm1.f64 (log1p.f64 (+.f64 d (+.f64 b a)))))) | |
| 0.3b | (+.f64 d (+.f64 b (+.f64 a (+.f64 c e)))) | |
| 0.4b | (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) | |
| ▶ | 0.2b | (*.f64 (+.f64 (+.f64 d (+.f64 b a)) (+.f64 e c)) 1) |
| 0.4b | (+.f64 e (+.f64 c (fma.f64 (cbrt.f64 (pow.f64 (+.f64 d b) 2)) (cbrt.f64 (+.f64 d b)) a))) | |
| 0.2b | (+.f64 e (fma.f64 1 (+.f64 d (+.f64 b a)) c)) | |
| 0.4b | (+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) | |
| 0.3b | (+.f64 e (+.f64 c (/.f64 (-.f64 (*.f64 (+.f64 a d) (+.f64 a d)) (*.f64 b b)) (-.f64 (+.f64 a d) b)))) |
Compiled 2498 to 805 computations (67.8% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (+.f64 d (+.f64 b a)) |
| ✓ | 0.2b | (+.f64 (+.f64 d (+.f64 b a)) (+.f64 e c)) |
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | d | @ | 0 | (+.f64 (+.f64 d (+.f64 b a)) (+.f64 e c)) |
| 0.0ms | c | @ | inf | (+.f64 (+.f64 d (+.f64 b a)) (+.f64 e c)) |
| 0.0ms | d | @ | -inf | (+.f64 (+.f64 d (+.f64 b a)) (+.f64 e c)) |
| 0.0ms | e | @ | inf | (+.f64 (+.f64 d (+.f64 b a)) (+.f64 e c)) |
| 0.0ms | b | @ | inf | (+.f64 (+.f64 d (+.f64 b a)) (+.f64 e c)) |
| 1× | batch-egg-rewrite |
| 433× | fma-neg_binary64 |
| 236× | expm1-udef_binary64 |
| 236× | log1p-udef_binary64 |
| 136× | add-sqr-sqrt_binary64 |
| 135× | *-un-lft-identity_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 20 |
| 1 | 242 | 20 |
| 2 | 4055 | 20 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (+.f64 d (+.f64 b a)) (+.f64 e c)) |
(+.f64 d (+.f64 b a)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (+.f64 b a) (+.f64 d (+.f64 e c))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 b (+.f64 a d)) 2) (+.f64 d (-.f64 (+.f64 b a) (+.f64 e c)))) (/.f64 (pow.f64 (+.f64 e c) 2) (+.f64 d (-.f64 (+.f64 b a) (+.f64 e c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 b a) (+.f64 d (+.f64 e c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (+.f64 b a) (+.f64 d (+.f64 e c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (+.f64 b a) (+.f64 d (+.f64 e c)))) (pow.f64 (cbrt.f64 (+.f64 (+.f64 b a) (+.f64 d (+.f64 e c)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 b a) (+.f64 d (+.f64 e c)))) 2) (cbrt.f64 (+.f64 (+.f64 b a) (+.f64 d (+.f64 e c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (+.f64 b a) (+.f64 d (+.f64 e c)))) (sqrt.f64 (+.f64 (+.f64 b a) (+.f64 d (+.f64 e c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 b (+.f64 a d)) 3) (pow.f64 (+.f64 e c) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 b (+.f64 a d)) 2) (*.f64 (+.f64 e c) (-.f64 (+.f64 e c) (+.f64 b (+.f64 a d)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 b (+.f64 a d)) 2) (pow.f64 (+.f64 e c) 2)) (/.f64 1 (+.f64 d (-.f64 (+.f64 b a) (+.f64 e c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 b (+.f64 a d)) 2) (*.f64 (+.f64 e c) (-.f64 (+.f64 e c) (+.f64 b (+.f64 a d))))) (+.f64 (pow.f64 (+.f64 b (+.f64 a d)) 3) (pow.f64 (+.f64 e c) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 d (-.f64 (+.f64 b a) (+.f64 e c))) (-.f64 (pow.f64 (+.f64 b (+.f64 a d)) 2) (pow.f64 (+.f64 e c) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 b (+.f64 a d)) 3) (pow.f64 (+.f64 e c) 3)) (+.f64 (pow.f64 (+.f64 b (+.f64 a d)) 2) (*.f64 (+.f64 e c) (-.f64 (+.f64 e c) (+.f64 b (+.f64 a d))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 b (+.f64 a d)) 3) (pow.f64 (+.f64 e c) 3)) (+.f64 (pow.f64 (+.f64 e c) 2) (-.f64 (pow.f64 (+.f64 b (+.f64 a d)) 2) (*.f64 (+.f64 b (+.f64 a d)) (+.f64 e c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 b (+.f64 a d)) 2) (pow.f64 (+.f64 e c) 2)) (+.f64 d (-.f64 (+.f64 b a) (+.f64 e c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 b (+.f64 a d)) 3) (pow.f64 (+.f64 e c) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 b (+.f64 a d)) 2) (*.f64 (+.f64 e c) (-.f64 (+.f64 e c) (+.f64 b (+.f64 a d)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 b (+.f64 a d)) 2) (pow.f64 (+.f64 e c) 2))) (neg.f64 (+.f64 d (-.f64 (+.f64 b a) (+.f64 e c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (+.f64 (pow.f64 d 3) (pow.f64 (+.f64 b a) 3)) (fma.f64 e e (*.f64 c (-.f64 c e)))) (*.f64 (fma.f64 d d 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (+.f64 (pow.f64 e 3) (pow.f64 c 3)) (fma.f64 d d (*.f64 (+.f64 b a) (-.f64 (+.f64 b a) d)))) (*.f64 (fma.f64 e e (*.f64 c (-.f64 c e))) (+.f64 (pow.f64 d 3) (pow.f64 (+.f64 b a) 3)))) (*.f64 (fma.f64 e e (*.f64 c (-.f64 c e))) (fma.f64 d d (*.f64 (+.f64 b a) (-.f64 (+.f64 b a) d)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 (+.f64 e c) (-.f64 e c)) (fma.f64 d d (*.f64 (+.f64 b a) (-.f64 (+.f64 b a) d)))) (*.f64 (-.f64 e c) (+.f64 (pow.f64 d 3) (pow.f64 (+.f64 b a) 3)))) (*.f64 (-.f64 e c) (fma.f64 d d (*.f64 (+.f64 b a) (-.f64 (+.f64 b a) d)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (+.f64 (pow.f64 e 3) (pow.f64 c 3)) (-.f64 d (+.f64 b a))) (*.f64 (fma.f64 e e (*.f64 c (-.f64 c e))) (-.f64 (*.f64 d d) (pow.f64 (+.f64 b a) 2)))) (*.f64 (fma.f64 e e (*.f64 c (-.f64 c e))) (-.f64 d (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 (+.f64 e c) (-.f64 e c)) (-.f64 d (+.f64 b a))) (*.f64 (-.f64 e c) (-.f64 (*.f64 d d) (pow.f64 (+.f64 b a) 2)))) (*.f64 (-.f64 e c) (-.f64 d (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 d 3) (pow.f64 (+.f64 b (+.f64 a (+.f64 e c))) 3)) (+.f64 (*.f64 d d) (-.f64 (*.f64 (+.f64 b (+.f64 a (+.f64 e c))) (+.f64 b (+.f64 a (+.f64 e c)))) (*.f64 d (+.f64 b (+.f64 a (+.f64 e c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 d (+.f64 (+.f64 b a) e)) 3) (pow.f64 c 3)) (+.f64 (*.f64 (+.f64 d (+.f64 (+.f64 b a) e)) (+.f64 d (+.f64 (+.f64 b a) e))) (-.f64 (*.f64 c c) (*.f64 (+.f64 d (+.f64 (+.f64 b a) e)) c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 d d) (*.f64 (+.f64 b (+.f64 a (+.f64 e c))) (+.f64 b (+.f64 a (+.f64 e c))))) (-.f64 d (+.f64 b (+.f64 a (+.f64 e c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 e c) 2) (pow.f64 (+.f64 b (+.f64 a d)) 2)) (-.f64 (+.f64 e c) (+.f64 b (+.f64 a d))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 d (+.f64 (+.f64 b a) e)) (+.f64 d (+.f64 (+.f64 b a) e))) (*.f64 c c)) (-.f64 (+.f64 d (+.f64 (+.f64 b a) e)) c))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (+.f64 b a) (+.f64 d (+.f64 e c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (+.f64 b a) (+.f64 d (+.f64 e c))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (+.f64 b a) (+.f64 d (+.f64 e c)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (+.f64 b a) (+.f64 d (+.f64 e c)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (+.f64 b a) (+.f64 d (+.f64 e c))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (+.f64 b a) (+.f64 d (+.f64 e c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 b a) (+.f64 d (+.f64 e c))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (+.f64 b a) (+.f64 d (+.f64 e c))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (+.f64 b a) (+.f64 d (+.f64 e c)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (+.f64 b a) (+.f64 d (+.f64 e c)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 d (+.f64 b (+.f64 a (+.f64 e c))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 b (+.f64 a d)) (+.f64 e c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 e c) (+.f64 b (+.f64 a d)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 d d)) (cbrt.f64 d) (+.f64 b (+.f64 a (+.f64 e c))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 e c)) 2) (cbrt.f64 (+.f64 e c)) (+.f64 b (+.f64 a d)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 b (+.f64 a d))) 2) (cbrt.f64 (+.f64 b (+.f64 a d))) (+.f64 e c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 d) (sqrt.f64 d) (+.f64 b (+.f64 a (+.f64 e c))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 e c)) (sqrt.f64 (+.f64 e c)) (+.f64 b (+.f64 a d)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 b (+.f64 a d))) (sqrt.f64 (+.f64 b (+.f64 a d))) (+.f64 e c))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (+.f64 b a) (+.f64 d (+.f64 e c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 b a) (+.f64 d (+.f64 e c)))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 b (+.f64 a d)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 d d) (-.f64 d (+.f64 b a))) (/.f64 (pow.f64 (+.f64 b a) 2) (-.f64 d (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 b (+.f64 a d)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 b (+.f64 a d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 b (+.f64 a d))) (pow.f64 (cbrt.f64 (+.f64 b (+.f64 a d))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 b (+.f64 a d))) 2) (cbrt.f64 (+.f64 b (+.f64 a d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 b (+.f64 a d))) (sqrt.f64 (+.f64 b (+.f64 a d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 d 3) (pow.f64 (+.f64 b a) 3)) (/.f64 1 (fma.f64 d d (*.f64 (+.f64 b a) (-.f64 (+.f64 b a) d)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 d d) (pow.f64 (+.f64 b a) 2)) (/.f64 1 (-.f64 d (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 d d (*.f64 (+.f64 b a) (-.f64 (+.f64 b a) d))) (+.f64 (pow.f64 d 3) (pow.f64 (+.f64 b a) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 d (+.f64 b a)) (-.f64 (*.f64 d d) (pow.f64 (+.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 d 3) (pow.f64 (+.f64 b a) 3)) (fma.f64 d d (*.f64 (+.f64 b a) (-.f64 (+.f64 b a) d))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 d 3) (pow.f64 (+.f64 b a) 3)) (+.f64 (pow.f64 (+.f64 b a) 2) (-.f64 (*.f64 d d) (*.f64 d (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 d d) (pow.f64 (+.f64 b a) 2)) (-.f64 d (+.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 d 3) (pow.f64 (+.f64 b a) 3))) (neg.f64 (fma.f64 d d (*.f64 (+.f64 b a) (-.f64 (+.f64 b a) d)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 d d) (pow.f64 (+.f64 b a) 2))) (neg.f64 (-.f64 d (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 d b) 3) (pow.f64 a 3)) (+.f64 (*.f64 (+.f64 d b) (+.f64 d b)) (-.f64 (*.f64 a a) (*.f64 (+.f64 d b) a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 b a) 2) (*.f64 d d)) (-.f64 (+.f64 b a) d))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 d b) (+.f64 d b)) (*.f64 a a)) (-.f64 (+.f64 d b) a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 b (+.f64 a d)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 b (+.f64 a d))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 b (+.f64 a d))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 b (+.f64 a d)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 b (+.f64 a d)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 b (+.f64 a d))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 b (+.f64 a d)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 b (+.f64 a d)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 b (+.f64 a d))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 b (+.f64 a d))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 d (+.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 b a) d)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 b a) 2)) (cbrt.f64 (+.f64 b a)) d)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 d d)) (cbrt.f64 d) (+.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 b a)) (sqrt.f64 (+.f64 b a)) d)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 d) (sqrt.f64 d) (+.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 b (+.f64 a d))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 b (+.f64 a d))) 1)))))) |
| 1× | egg-herbie |
| 121× | associate-+l+_binary64 |
| 62× | associate-+r+_binary64 |
| 46× | +-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 852 |
| 1 | 48 | 852 |
| 2 | 128 | 852 |
| 3 | 270 | 852 |
| 4 | 277 | 852 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 c (+.f64 a (+.f64 b e))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
d |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
d |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d e))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
b |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
b |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 d (+.f64 b e))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
a |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
a |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
e |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
e |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 d (+.f64 b e))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
c |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
c |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a b) |
(+.f64 a (+.f64 d b)) |
(+.f64 a (+.f64 d b)) |
(+.f64 a (+.f64 d b)) |
d |
(+.f64 a (+.f64 d b)) |
(+.f64 a (+.f64 d b)) |
(+.f64 a (+.f64 d b)) |
d |
(+.f64 a (+.f64 d b)) |
(+.f64 a (+.f64 d b)) |
(+.f64 a (+.f64 d b)) |
(+.f64 a d) |
(+.f64 a (+.f64 d b)) |
(+.f64 a (+.f64 d b)) |
(+.f64 a (+.f64 d b)) |
b |
(+.f64 a (+.f64 d b)) |
(+.f64 a (+.f64 d b)) |
(+.f64 a (+.f64 d b)) |
b |
(+.f64 a (+.f64 d b)) |
(+.f64 a (+.f64 d b)) |
(+.f64 a (+.f64 d b)) |
(+.f64 d b) |
(+.f64 a (+.f64 d b)) |
(+.f64 a (+.f64 d b)) |
(+.f64 a (+.f64 d b)) |
a |
(+.f64 a (+.f64 d b)) |
(+.f64 a (+.f64 d b)) |
(+.f64 a (+.f64 d b)) |
a |
(+.f64 a (+.f64 d b)) |
(+.f64 a (+.f64 d b)) |
(+.f64 a (+.f64 d b)) |
| Outputs |
|---|
(+.f64 c (+.f64 a (+.f64 b e))) |
(+.f64 (+.f64 c a) (+.f64 b e)) |
(+.f64 (+.f64 a b) (+.f64 e c)) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 (+.f64 a (+.f64 e d)) b)) |
(+.f64 c (+.f64 a (+.f64 b (+.f64 e d)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 (+.f64 a (+.f64 e d)) b)) |
(+.f64 c (+.f64 a (+.f64 b (+.f64 e d)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 (+.f64 a (+.f64 e d)) b)) |
(+.f64 c (+.f64 a (+.f64 b (+.f64 e d)))) |
d |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 (+.f64 a (+.f64 e d)) b)) |
(+.f64 c (+.f64 a (+.f64 b (+.f64 e d)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 (+.f64 a (+.f64 e d)) b)) |
(+.f64 c (+.f64 a (+.f64 b (+.f64 e d)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 (+.f64 a (+.f64 e d)) b)) |
(+.f64 c (+.f64 a (+.f64 b (+.f64 e d)))) |
d |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 (+.f64 a (+.f64 e d)) b)) |
(+.f64 c (+.f64 a (+.f64 b (+.f64 e d)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 (+.f64 a (+.f64 e d)) b)) |
(+.f64 c (+.f64 a (+.f64 b (+.f64 e d)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 (+.f64 a (+.f64 e d)) b)) |
(+.f64 c (+.f64 a (+.f64 b (+.f64 e d)))) |
(+.f64 c (+.f64 a (+.f64 d e))) |
(+.f64 c (+.f64 a (+.f64 e d))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 (+.f64 a (+.f64 e d)) b)) |
(+.f64 c (+.f64 a (+.f64 b (+.f64 e d)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 (+.f64 a (+.f64 e d)) b)) |
(+.f64 c (+.f64 a (+.f64 b (+.f64 e d)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 (+.f64 a (+.f64 e d)) b)) |
(+.f64 c (+.f64 a (+.f64 b (+.f64 e d)))) |
b |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 (+.f64 a (+.f64 e d)) b)) |
(+.f64 c (+.f64 a (+.f64 b (+.f64 e d)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 (+.f64 a (+.f64 e d)) b)) |
(+.f64 c (+.f64 a (+.f64 b (+.f64 e d)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 (+.f64 a (+.f64 e d)) b)) |
(+.f64 c (+.f64 a (+.f64 b (+.f64 e d)))) |
b |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 (+.f64 a (+.f64 e d)) b)) |
(+.f64 c (+.f64 a (+.f64 b (+.f64 e d)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 (+.f64 a (+.f64 e d)) b)) |
(+.f64 c (+.f64 a (+.f64 b (+.f64 e d)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 (+.f64 a (+.f64 e d)) b)) |
(+.f64 c (+.f64 a (+.f64 b (+.f64 e d)))) |
(+.f64 c (+.f64 d (+.f64 b e))) |
(+.f64 c (+.f64 (+.f64 b e) d)) |
(+.f64 (+.f64 b d) (+.f64 e c)) |
(+.f64 (+.f64 b e) (+.f64 c d)) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 (+.f64 a (+.f64 e d)) b)) |
(+.f64 c (+.f64 a (+.f64 b (+.f64 e d)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 (+.f64 a (+.f64 e d)) b)) |
(+.f64 c (+.f64 a (+.f64 b (+.f64 e d)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 (+.f64 a (+.f64 e d)) b)) |
(+.f64 c (+.f64 a (+.f64 b (+.f64 e d)))) |
a |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 (+.f64 a (+.f64 e d)) b)) |
(+.f64 c (+.f64 a (+.f64 b (+.f64 e d)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 (+.f64 a (+.f64 e d)) b)) |
(+.f64 c (+.f64 a (+.f64 b (+.f64 e d)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 (+.f64 a (+.f64 e d)) b)) |
(+.f64 c (+.f64 a (+.f64 b (+.f64 e d)))) |
a |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 (+.f64 a (+.f64 e d)) b)) |
(+.f64 c (+.f64 a (+.f64 b (+.f64 e d)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 (+.f64 a (+.f64 e d)) b)) |
(+.f64 c (+.f64 a (+.f64 b (+.f64 e d)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 (+.f64 a (+.f64 e d)) b)) |
(+.f64 c (+.f64 a (+.f64 b (+.f64 e d)))) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 c (+.f64 (+.f64 a d) b)) |
(+.f64 c (+.f64 a (+.f64 b d))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 (+.f64 a (+.f64 e d)) b)) |
(+.f64 c (+.f64 a (+.f64 b (+.f64 e d)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 (+.f64 a (+.f64 e d)) b)) |
(+.f64 c (+.f64 a (+.f64 b (+.f64 e d)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 (+.f64 a (+.f64 e d)) b)) |
(+.f64 c (+.f64 a (+.f64 b (+.f64 e d)))) |
e |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 (+.f64 a (+.f64 e d)) b)) |
(+.f64 c (+.f64 a (+.f64 b (+.f64 e d)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 (+.f64 a (+.f64 e d)) b)) |
(+.f64 c (+.f64 a (+.f64 b (+.f64 e d)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 (+.f64 a (+.f64 e d)) b)) |
(+.f64 c (+.f64 a (+.f64 b (+.f64 e d)))) |
e |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 (+.f64 a (+.f64 e d)) b)) |
(+.f64 c (+.f64 a (+.f64 b (+.f64 e d)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 (+.f64 a (+.f64 e d)) b)) |
(+.f64 c (+.f64 a (+.f64 b (+.f64 e d)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 (+.f64 a (+.f64 e d)) b)) |
(+.f64 c (+.f64 a (+.f64 b (+.f64 e d)))) |
(+.f64 a (+.f64 d (+.f64 b e))) |
(+.f64 (+.f64 a d) (+.f64 b e)) |
(+.f64 (+.f64 a (+.f64 e d)) b) |
(+.f64 a (+.f64 b (+.f64 e d))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 (+.f64 a (+.f64 e d)) b)) |
(+.f64 c (+.f64 a (+.f64 b (+.f64 e d)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 (+.f64 a (+.f64 e d)) b)) |
(+.f64 c (+.f64 a (+.f64 b (+.f64 e d)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 (+.f64 a (+.f64 e d)) b)) |
(+.f64 c (+.f64 a (+.f64 b (+.f64 e d)))) |
c |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 (+.f64 a (+.f64 e d)) b)) |
(+.f64 c (+.f64 a (+.f64 b (+.f64 e d)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 (+.f64 a (+.f64 e d)) b)) |
(+.f64 c (+.f64 a (+.f64 b (+.f64 e d)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 (+.f64 a (+.f64 e d)) b)) |
(+.f64 c (+.f64 a (+.f64 b (+.f64 e d)))) |
c |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 (+.f64 a (+.f64 e d)) b)) |
(+.f64 c (+.f64 a (+.f64 b (+.f64 e d)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 (+.f64 a (+.f64 e d)) b)) |
(+.f64 c (+.f64 a (+.f64 b (+.f64 e d)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 (+.f64 a (+.f64 e d)) b)) |
(+.f64 c (+.f64 a (+.f64 b (+.f64 e d)))) |
(+.f64 a b) |
(+.f64 a (+.f64 d b)) |
(+.f64 (+.f64 a d) b) |
(+.f64 a (+.f64 b d)) |
(+.f64 a (+.f64 d b)) |
(+.f64 (+.f64 a d) b) |
(+.f64 a (+.f64 b d)) |
(+.f64 a (+.f64 d b)) |
(+.f64 (+.f64 a d) b) |
(+.f64 a (+.f64 b d)) |
d |
(+.f64 a (+.f64 d b)) |
(+.f64 (+.f64 a d) b) |
(+.f64 a (+.f64 b d)) |
(+.f64 a (+.f64 d b)) |
(+.f64 (+.f64 a d) b) |
(+.f64 a (+.f64 b d)) |
(+.f64 a (+.f64 d b)) |
(+.f64 (+.f64 a d) b) |
(+.f64 a (+.f64 b d)) |
d |
(+.f64 a (+.f64 d b)) |
(+.f64 (+.f64 a d) b) |
(+.f64 a (+.f64 b d)) |
(+.f64 a (+.f64 d b)) |
(+.f64 (+.f64 a d) b) |
(+.f64 a (+.f64 b d)) |
(+.f64 a (+.f64 d b)) |
(+.f64 (+.f64 a d) b) |
(+.f64 a (+.f64 b d)) |
(+.f64 a d) |
(+.f64 a (+.f64 d b)) |
(+.f64 (+.f64 a d) b) |
(+.f64 a (+.f64 b d)) |
(+.f64 a (+.f64 d b)) |
(+.f64 (+.f64 a d) b) |
(+.f64 a (+.f64 b d)) |
(+.f64 a (+.f64 d b)) |
(+.f64 (+.f64 a d) b) |
(+.f64 a (+.f64 b d)) |
b |
(+.f64 a (+.f64 d b)) |
(+.f64 (+.f64 a d) b) |
(+.f64 a (+.f64 b d)) |
(+.f64 a (+.f64 d b)) |
(+.f64 (+.f64 a d) b) |
(+.f64 a (+.f64 b d)) |
(+.f64 a (+.f64 d b)) |
(+.f64 (+.f64 a d) b) |
(+.f64 a (+.f64 b d)) |
b |
(+.f64 a (+.f64 d b)) |
(+.f64 (+.f64 a d) b) |
(+.f64 a (+.f64 b d)) |
(+.f64 a (+.f64 d b)) |
(+.f64 (+.f64 a d) b) |
(+.f64 a (+.f64 b d)) |
(+.f64 a (+.f64 d b)) |
(+.f64 (+.f64 a d) b) |
(+.f64 a (+.f64 b d)) |
(+.f64 d b) |
(+.f64 b d) |
(+.f64 a (+.f64 d b)) |
(+.f64 (+.f64 a d) b) |
(+.f64 a (+.f64 b d)) |
(+.f64 a (+.f64 d b)) |
(+.f64 (+.f64 a d) b) |
(+.f64 a (+.f64 b d)) |
(+.f64 a (+.f64 d b)) |
(+.f64 (+.f64 a d) b) |
(+.f64 a (+.f64 b d)) |
a |
(+.f64 a (+.f64 d b)) |
(+.f64 (+.f64 a d) b) |
(+.f64 a (+.f64 b d)) |
(+.f64 a (+.f64 d b)) |
(+.f64 (+.f64 a d) b) |
(+.f64 a (+.f64 b d)) |
(+.f64 a (+.f64 d b)) |
(+.f64 (+.f64 a d) b) |
(+.f64 a (+.f64 b d)) |
a |
(+.f64 a (+.f64 d b)) |
(+.f64 (+.f64 a d) b) |
(+.f64 a (+.f64 b d)) |
(+.f64 a (+.f64 d b)) |
(+.f64 (+.f64 a d) b) |
(+.f64 a (+.f64 b d)) |
(+.f64 a (+.f64 d b)) |
(+.f64 (+.f64 a d) b) |
(+.f64 a (+.f64 b d)) |
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 108 | 2 | 110 |
| Fresh | 2 | 5 | 7 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 111 | 7 | 118 |
| Status | Error | Program |
|---|---|---|
| 0.4b | (+.f64 e (+.f64 c (expm1.f64 (log1p.f64 (+.f64 d (+.f64 b a)))))) | |
| 0.3b | (+.f64 d (+.f64 b (+.f64 a (+.f64 c e)))) | |
| 0.2b | (+.f64 e (fma.f64 1 (+.f64 d (+.f64 b a)) c)) | |
| 0.4b | (+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) | |
| 0.4b | (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) | |
| 0.3b | (*.f64 (*.f64 (+.f64 (+.f64 b a) (+.f64 d (+.f64 e c))) 1) 1) | |
| ▶ | 0.2b | (*.f64 (+.f64 (+.f64 a (+.f64 d b)) (+.f64 e c)) 1) |
Compiled 2440 to 890 computations (63.5% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (+.f64 (+.f64 a (+.f64 d b)) (+.f64 e c)) |
| 0.2b | (+.f64 a (+.f64 d b)) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | a | @ | 0 | (+.f64 (+.f64 a (+.f64 d b)) (+.f64 e c)) |
| 0.0ms | d | @ | inf | (+.f64 (+.f64 a (+.f64 d b)) (+.f64 e c)) |
| 0.0ms | b | @ | inf | (+.f64 (+.f64 a (+.f64 d b)) (+.f64 e c)) |
| 0.0ms | b | @ | -inf | (+.f64 (+.f64 a (+.f64 d b)) (+.f64 e c)) |
| 0.0ms | e | @ | inf | (+.f64 (+.f64 a (+.f64 d b)) (+.f64 e c)) |
| 1× | batch-egg-rewrite |
| 433× | fma-neg_binary64 |
| 236× | expm1-udef_binary64 |
| 236× | log1p-udef_binary64 |
| 136× | add-sqr-sqrt_binary64 |
| 135× | *-un-lft-identity_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 13 |
| 1 | 242 | 13 |
| 2 | 4055 | 13 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (+.f64 a (+.f64 d b)) (+.f64 e c)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (+.f64 d b) (+.f64 a (+.f64 e c))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 d (+.f64 b a)) 2) (+.f64 a (-.f64 (+.f64 d b) (+.f64 e c)))) (/.f64 (pow.f64 (+.f64 e c) 2) (+.f64 a (-.f64 (+.f64 d b) (+.f64 e c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 d b) (+.f64 a (+.f64 e c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (+.f64 d b) (+.f64 a (+.f64 e c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (+.f64 d b) (+.f64 a (+.f64 e c)))) (pow.f64 (cbrt.f64 (+.f64 (+.f64 d b) (+.f64 a (+.f64 e c)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 d b) (+.f64 a (+.f64 e c)))) 2) (cbrt.f64 (+.f64 (+.f64 d b) (+.f64 a (+.f64 e c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (+.f64 d b) (+.f64 a (+.f64 e c)))) (sqrt.f64 (+.f64 (+.f64 d b) (+.f64 a (+.f64 e c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 d (+.f64 b a)) 3) (pow.f64 (+.f64 e c) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 d (+.f64 b a)) 2) (*.f64 (+.f64 e c) (-.f64 (+.f64 e c) (+.f64 d (+.f64 b a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 d (+.f64 b a)) 2) (pow.f64 (+.f64 e c) 2)) (/.f64 1 (+.f64 a (-.f64 (+.f64 d b) (+.f64 e c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 d (+.f64 b a)) 2) (*.f64 (+.f64 e c) (-.f64 (+.f64 e c) (+.f64 d (+.f64 b a))))) (+.f64 (pow.f64 (+.f64 d (+.f64 b a)) 3) (pow.f64 (+.f64 e c) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 a (-.f64 (+.f64 d b) (+.f64 e c))) (-.f64 (pow.f64 (+.f64 d (+.f64 b a)) 2) (pow.f64 (+.f64 e c) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 d (+.f64 b a)) 3) (pow.f64 (+.f64 e c) 3)) (+.f64 (pow.f64 (+.f64 d (+.f64 b a)) 2) (*.f64 (+.f64 e c) (-.f64 (+.f64 e c) (+.f64 d (+.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 d (+.f64 b a)) 3) (pow.f64 (+.f64 e c) 3)) (+.f64 (pow.f64 (+.f64 e c) 2) (-.f64 (pow.f64 (+.f64 d (+.f64 b a)) 2) (*.f64 (+.f64 d (+.f64 b a)) (+.f64 e c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 d (+.f64 b a)) 2) (pow.f64 (+.f64 e c) 2)) (+.f64 a (-.f64 (+.f64 d b) (+.f64 e c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 d (+.f64 b a)) 3) (pow.f64 (+.f64 e c) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 d (+.f64 b a)) 2) (*.f64 (+.f64 e c) (-.f64 (+.f64 e c) (+.f64 d (+.f64 b a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 d (+.f64 b a)) 2) (pow.f64 (+.f64 e c) 2))) (neg.f64 (+.f64 a (-.f64 (+.f64 d b) (+.f64 e c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (+.f64 (pow.f64 a 3) (pow.f64 (+.f64 d b) 3)) (fma.f64 e e (*.f64 c (-.f64 c e)))) (*.f64 (fma.f64 a a (*.f64 (+.f64 d b) (-.f64 (+.f64 d b) a))) (+.f64 (pow.f64 e 3) (pow.f64 c 3)))) (*.f64 (fma.f64 a a (*.f64 (+.f64 d b) (-.f64 (+.f64 d b) a))) (fma.f64 e e (*.f64 c (-.f64 c e)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (-.f64 (*.f64 a a) (pow.f64 (+.f64 d b) 2)) (fma.f64 e e (*.f64 c (-.f64 c e)))) (*.f64 (-.f64 a (+.f64 d b)) (+.f64 (pow.f64 e 3) (pow.f64 c 3)))) (*.f64 (-.f64 a (+.f64 d b)) (fma.f64 e e (*.f64 c (-.f64 c e)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (+.f64 (pow.f64 a 3) (pow.f64 (+.f64 d b) 3)) (-.f64 e c)) (*.f64 (fma.f64 a a (*.f64 (+.f64 d b) (-.f64 (+.f64 d b) a))) (*.f64 (+.f64 e c) (-.f64 e c)))) (*.f64 (fma.f64 a a (*.f64 (+.f64 d b) (-.f64 (+.f64 d b) a))) (-.f64 e c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (-.f64 (*.f64 a a) (pow.f64 (+.f64 d b) 2)) (-.f64 e c)) (*.f64 (-.f64 a (+.f64 d b)) (*.f64 (+.f64 e c) (-.f64 e c)))) (*.f64 (-.f64 a (+.f64 d b)) (-.f64 e c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (+.f64 (pow.f64 e 3) (pow.f64 c 3)) (fma.f64 a a (*.f64 (+.f64 d b) (-.f64 (+.f64 d b) a)))) (*.f64 (fma.f64 e e (*.f64 c (-.f64 c e))) (+.f64 (pow.f64 a 3) (pow.f64 (+.f64 d b) 3)))) (*.f64 (fma.f64 e e (*.f64 c (-.f64 c e))) (fma.f64 a a (*.f64 (+.f64 d b) (-.f64 (+.f64 d b) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 (+.f64 e c) (-.f64 e c)) (fma.f64 a a (*.f64 (+.f64 d b) (-.f64 (+.f64 d b) a)))) (*.f64 (-.f64 e c) (+.f64 (pow.f64 a 3) (pow.f64 (+.f64 d b) 3)))) (*.f64 (-.f64 e c) (fma.f64 a a (*.f64 (+.f64 d b) (-.f64 (+.f64 d b) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (+.f64 (pow.f64 e 3) (pow.f64 c 3)) (-.f64 a (+.f64 d b))) (*.f64 (fma.f64 e e (*.f64 c (-.f64 c e))) (-.f64 (*.f64 a a) (pow.f64 (+.f64 d b) 2)))) (*.f64 (fma.f64 e e (*.f64 c (-.f64 c e))) (-.f64 a (+.f64 d b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 (+.f64 e c) (-.f64 e c)) (-.f64 a (+.f64 d b))) (*.f64 (-.f64 e c) (-.f64 (*.f64 a a) (pow.f64 (+.f64 d b) 2)))) (*.f64 (-.f64 e c) (-.f64 a (+.f64 d b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 a 3) (pow.f64 (+.f64 d (+.f64 b (+.f64 e c))) 3)) (+.f64 (*.f64 a a) (-.f64 (*.f64 (+.f64 d (+.f64 b (+.f64 e c))) (+.f64 d (+.f64 b (+.f64 e c)))) (*.f64 a (+.f64 d (+.f64 b (+.f64 e c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 a (+.f64 (+.f64 d b) e)) 3) (pow.f64 c 3)) (+.f64 (*.f64 (+.f64 a (+.f64 (+.f64 d b) e)) (+.f64 a (+.f64 (+.f64 d b) e))) (-.f64 (*.f64 c c) (*.f64 (+.f64 a (+.f64 (+.f64 d b) e)) c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 a a) (*.f64 (+.f64 d (+.f64 b (+.f64 e c))) (+.f64 d (+.f64 b (+.f64 e c))))) (-.f64 a (+.f64 d (+.f64 b (+.f64 e c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 e c) 2) (pow.f64 (+.f64 d (+.f64 b a)) 2)) (-.f64 (+.f64 e c) (+.f64 d (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 a (+.f64 (+.f64 d b) e)) (+.f64 a (+.f64 (+.f64 d b) e))) (*.f64 c c)) (-.f64 (+.f64 a (+.f64 (+.f64 d b) e)) c))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (+.f64 d b) (+.f64 a (+.f64 e c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (+.f64 d b) (+.f64 a (+.f64 e c))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (+.f64 d b) (+.f64 a (+.f64 e c)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (+.f64 d b) (+.f64 a (+.f64 e c)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (+.f64 d b) (+.f64 a (+.f64 e c))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (+.f64 d b) (+.f64 a (+.f64 e c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 d b) (+.f64 a (+.f64 e c))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (+.f64 d b) (+.f64 a (+.f64 e c))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (+.f64 d b) (+.f64 a (+.f64 e c)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (+.f64 d b) (+.f64 a (+.f64 e c)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 a (+.f64 d (+.f64 b (+.f64 e c))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 d (+.f64 b a)) (+.f64 e c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 e c) (+.f64 d (+.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 a a)) (cbrt.f64 a) (+.f64 d (+.f64 b (+.f64 e c))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 e c)) 2) (cbrt.f64 (+.f64 e c)) (+.f64 d (+.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 d (+.f64 b a))) 2) (cbrt.f64 (+.f64 d (+.f64 b a))) (+.f64 e c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (sqrt.f64 a) (+.f64 d (+.f64 b (+.f64 e c))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 e c)) (sqrt.f64 (+.f64 e c)) (+.f64 d (+.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 d (+.f64 b a))) (sqrt.f64 (+.f64 d (+.f64 b a))) (+.f64 e c))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (+.f64 d b) (+.f64 a (+.f64 e c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 d b) (+.f64 a (+.f64 e c)))) 1)))))) |
| 1× | egg-herbie |
| 117× | associate-+l+_binary64 |
| 60× | associate-+r+_binary64 |
| 49× | +-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 645 |
| 1 | 46 | 645 |
| 2 | 131 | 645 |
| 3 | 268 | 645 |
| 4 | 279 | 645 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 c (+.f64 d (+.f64 b e))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
a |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
a |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 b e))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
d |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
d |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d e))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
b |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
b |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
e |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
e |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 d (+.f64 b e))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
c |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
c |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
| Outputs |
|---|
(+.f64 c (+.f64 d (+.f64 b e))) |
(+.f64 (+.f64 c d) (+.f64 b e)) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 d (+.f64 b (+.f64 e a)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 d (+.f64 b (+.f64 e a)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 d (+.f64 b (+.f64 e a)))) |
a |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 d (+.f64 b (+.f64 e a)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 d (+.f64 b (+.f64 e a)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 d (+.f64 b (+.f64 e a)))) |
a |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 d (+.f64 b (+.f64 e a)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 d (+.f64 b (+.f64 e a)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 d (+.f64 b (+.f64 e a)))) |
(+.f64 c (+.f64 a (+.f64 b e))) |
(+.f64 c (+.f64 (+.f64 a b) e)) |
(+.f64 c (+.f64 b (+.f64 e a))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 d (+.f64 b (+.f64 e a)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 d (+.f64 b (+.f64 e a)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 d (+.f64 b (+.f64 e a)))) |
d |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 d (+.f64 b (+.f64 e a)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 d (+.f64 b (+.f64 e a)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 d (+.f64 b (+.f64 e a)))) |
d |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 d (+.f64 b (+.f64 e a)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 d (+.f64 b (+.f64 e a)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 d (+.f64 b (+.f64 e a)))) |
(+.f64 c (+.f64 a (+.f64 d e))) |
(+.f64 c (+.f64 (+.f64 a d) e)) |
(+.f64 c (+.f64 d (+.f64 e a))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 d (+.f64 b (+.f64 e a)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 d (+.f64 b (+.f64 e a)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 d (+.f64 b (+.f64 e a)))) |
b |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 d (+.f64 b (+.f64 e a)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 d (+.f64 b (+.f64 e a)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 d (+.f64 b (+.f64 e a)))) |
b |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 d (+.f64 b (+.f64 e a)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 d (+.f64 b (+.f64 e a)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 d (+.f64 b (+.f64 e a)))) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 c (+.f64 (+.f64 a d) b)) |
(+.f64 c (+.f64 d (+.f64 b a))) |
(+.f64 c (+.f64 b (+.f64 d a))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 d (+.f64 b (+.f64 e a)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 d (+.f64 b (+.f64 e a)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 d (+.f64 b (+.f64 e a)))) |
e |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 d (+.f64 b (+.f64 e a)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 d (+.f64 b (+.f64 e a)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 d (+.f64 b (+.f64 e a)))) |
e |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 d (+.f64 b (+.f64 e a)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 d (+.f64 b (+.f64 e a)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 d (+.f64 b (+.f64 e a)))) |
(+.f64 a (+.f64 d (+.f64 b e))) |
(+.f64 (+.f64 a d) (+.f64 b e)) |
(+.f64 d (+.f64 b (+.f64 e a))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 d (+.f64 b (+.f64 e a)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 d (+.f64 b (+.f64 e a)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 d (+.f64 b (+.f64 e a)))) |
c |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 d (+.f64 b (+.f64 e a)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 d (+.f64 b (+.f64 e a)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 d (+.f64 b (+.f64 e a)))) |
c |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 d (+.f64 b (+.f64 e a)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 d (+.f64 b (+.f64 e a)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 d (+.f64 b (+.f64 e a)))) |
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 112 | 0 | 112 |
| Fresh | 0 | 6 | 6 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 112 | 7 | 119 |
| Status | Error | Program |
|---|---|---|
| 0.4b | (+.f64 e (+.f64 c (expm1.f64 (log1p.f64 (+.f64 d (+.f64 b a)))))) | |
| 0.3b | (+.f64 d (+.f64 b (+.f64 a (+.f64 c e)))) | |
| ▶ | 0.2b | (+.f64 e (fma.f64 1 (+.f64 d (+.f64 b a)) c)) |
| 0.4b | (+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) | |
| 0.4b | (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) | |
| 0.3b | (*.f64 (*.f64 (+.f64 (+.f64 b a) (+.f64 d (+.f64 e c))) 1) 1) | |
| ✓ | 0.2b | (*.f64 (+.f64 (+.f64 a (+.f64 d b)) (+.f64 e c)) 1) |
Compiled 2432 to 886 computations (63.6% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (+.f64 d (+.f64 b a)) | |
| ✓ | 0.2b | (+.f64 e (fma.f64 1 (+.f64 d (+.f64 b a)) c)) |
| ✓ | 0.2b | (fma.f64 1 (+.f64 d (+.f64 b a)) c) |
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | c | @ | -inf | (fma.f64 1 (+.f64 d (+.f64 b a)) c) |
| 1.0ms | d | @ | 0 | (fma.f64 1 (+.f64 d (+.f64 b a)) c) |
| 0.0ms | c | @ | 0 | (fma.f64 1 (+.f64 d (+.f64 b a)) c) |
| 0.0ms | d | @ | inf | (fma.f64 1 (+.f64 d (+.f64 b a)) c) |
| 0.0ms | a | @ | 0 | (fma.f64 1 (+.f64 d (+.f64 b a)) c) |
| 1× | batch-egg-rewrite |
| 597× | fma-def_binary64 |
| 302× | fma-neg_binary64 |
| 225× | expm1-udef_binary64 |
| 225× | log1p-udef_binary64 |
| 130× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 23 |
| 1 | 241 | 23 |
| 2 | 3523 | 23 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 1 (+.f64 d (+.f64 b a)) c) |
(+.f64 e (fma.f64 1 (+.f64 d (+.f64 b a)) c)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 d (+.f64 (+.f64 b a) c))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 b a) (+.f64 d c))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 d (+.f64 b a)) c)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 c (+.f64 d (+.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 d b) (+.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 d (+.f64 (+.f64 b a) c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 d (+.f64 (+.f64 b a) c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 d (+.f64 (+.f64 b a) c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 d (+.f64 (+.f64 b a) c))) (pow.f64 (cbrt.f64 (+.f64 d (+.f64 (+.f64 b a) c))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 d (+.f64 (+.f64 b a) c))) 2) (cbrt.f64 (+.f64 d (+.f64 (+.f64 b a) c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 d (+.f64 (+.f64 b a) c))) (sqrt.f64 (+.f64 d (+.f64 (+.f64 b a) c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 d (+.f64 b a)) 3) (pow.f64 c 3)) (+.f64 (pow.f64 (+.f64 d (+.f64 b a)) 2) (-.f64 (*.f64 c c) (*.f64 (+.f64 d (+.f64 b a)) c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 d (+.f64 b a)) 2) (*.f64 c c)) (-.f64 (+.f64 d (+.f64 b a)) c))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 d (+.f64 (+.f64 b a) c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 d (+.f64 (+.f64 b a) c))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 d (+.f64 (+.f64 b a) c))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 d (+.f64 (+.f64 b a) c)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 d (+.f64 (+.f64 b a) c)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 d (+.f64 (+.f64 b a) c))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 d (+.f64 (+.f64 b a) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 d (+.f64 (+.f64 b a) c)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 d (+.f64 (+.f64 b a) c))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 d (+.f64 (+.f64 b a) c))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 d (+.f64 (+.f64 b a) c))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 d (+.f64 (+.f64 b a) c))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (+.f64 d (+.f64 b a)) (+.f64 c e)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 e e) (-.f64 e (+.f64 d (+.f64 (+.f64 b a) c)))) (/.f64 (pow.f64 (+.f64 d (+.f64 (+.f64 b a) c)) 2) (-.f64 e (+.f64 d (+.f64 (+.f64 b a) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (+.f64 d (+.f64 b a)) (+.f64 c e)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 d (+.f64 b a)) (+.f64 c e)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (+.f64 d (+.f64 b a)) (+.f64 c e))) (pow.f64 (cbrt.f64 (+.f64 (+.f64 d (+.f64 b a)) (+.f64 c e))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 d (+.f64 b a)) (+.f64 c e))) 2) (cbrt.f64 (+.f64 (+.f64 d (+.f64 b a)) (+.f64 c e))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (+.f64 d (+.f64 b a)) (+.f64 c e))) (sqrt.f64 (+.f64 (+.f64 d (+.f64 b a)) (+.f64 c e))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 e 3) (pow.f64 (+.f64 d (+.f64 (+.f64 b a) c)) 3)) (/.f64 1 (fma.f64 (+.f64 d (+.f64 (+.f64 b a) c)) (-.f64 (+.f64 d (+.f64 (+.f64 b a) c)) e) (*.f64 e e))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 e e) (pow.f64 (+.f64 d (+.f64 (+.f64 b a) c)) 2)) (/.f64 1 (-.f64 e (+.f64 d (+.f64 (+.f64 b a) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (+.f64 d (+.f64 (+.f64 b a) c)) (-.f64 (+.f64 d (+.f64 (+.f64 b a) c)) e) (*.f64 e e)) (+.f64 (pow.f64 e 3) (pow.f64 (+.f64 d (+.f64 (+.f64 b a) c)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 e (+.f64 d (+.f64 (+.f64 b a) c))) (-.f64 (*.f64 e e) (pow.f64 (+.f64 d (+.f64 (+.f64 b a) c)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 e 3) (pow.f64 (+.f64 d (+.f64 (+.f64 b a) c)) 3)) (fma.f64 (+.f64 d (+.f64 (+.f64 b a) c)) (-.f64 (+.f64 d (+.f64 (+.f64 b a) c)) e) (*.f64 e e)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 e 3) (pow.f64 (+.f64 d (+.f64 (+.f64 b a) c)) 3)) (+.f64 (pow.f64 (+.f64 d (+.f64 (+.f64 b a) c)) 2) (-.f64 (*.f64 e e) (*.f64 (+.f64 d (+.f64 (+.f64 b a) c)) e))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 e e) (pow.f64 (+.f64 d (+.f64 (+.f64 b a) c)) 2)) (-.f64 e (+.f64 d (+.f64 (+.f64 b a) c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 e 3) (pow.f64 (+.f64 d (+.f64 (+.f64 b a) c)) 3))) (neg.f64 (fma.f64 (+.f64 d (+.f64 (+.f64 b a) c)) (-.f64 (+.f64 d (+.f64 (+.f64 b a) c)) e) (*.f64 e e))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 e e) (pow.f64 (+.f64 d (+.f64 (+.f64 b a) c)) 2))) (neg.f64 (-.f64 e (+.f64 d (+.f64 (+.f64 b a) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 d (+.f64 (+.f64 b a) c)) 2) (*.f64 e e)) (-.f64 (+.f64 d (+.f64 (+.f64 b a) c)) e))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (+.f64 d (+.f64 b a)) (+.f64 c e)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (+.f64 d (+.f64 b a)) (+.f64 c e)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (+.f64 d (+.f64 b a)) (+.f64 c e))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (+.f64 d (+.f64 b a)) (+.f64 c e))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (+.f64 d (+.f64 b a)) (+.f64 c e)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (+.f64 d (+.f64 b a)) (+.f64 c e))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 d (+.f64 b a)) (+.f64 c e)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (+.f64 d (+.f64 b a)) (+.f64 c e)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (+.f64 d (+.f64 b a)) (+.f64 c e))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (+.f64 d (+.f64 b a)) (+.f64 c e))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 d (+.f64 b a)) (+.f64 c e))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 d (+.f64 (+.f64 b a) c)) e)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 e (+.f64 d (+.f64 (+.f64 b a) c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 d (+.f64 b a)) 1 (+.f64 c e))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 d (+.f64 (+.f64 b a) c)) 1 e)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 e 1 (+.f64 d (+.f64 (+.f64 b a) c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 d (+.f64 (+.f64 b a) c))) (pow.f64 (cbrt.f64 (+.f64 d (+.f64 (+.f64 b a) c))) 2) e)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 d (+.f64 (+.f64 b a) c))) 2) (cbrt.f64 (+.f64 d (+.f64 (+.f64 b a) c))) e)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 e) (pow.f64 (cbrt.f64 e) 2) (+.f64 d (+.f64 (+.f64 b a) c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 e) 2) (cbrt.f64 e) (+.f64 d (+.f64 (+.f64 b a) c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 d (+.f64 b a))) (pow.f64 (cbrt.f64 (+.f64 d (+.f64 b a))) 2) (+.f64 c e))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 d (+.f64 b a))) 2) (cbrt.f64 (+.f64 d (+.f64 b a))) (+.f64 c e))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 d (+.f64 (+.f64 b a) c))) (sqrt.f64 (+.f64 d (+.f64 (+.f64 b a) c))) e)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 e) (sqrt.f64 e) (+.f64 d (+.f64 (+.f64 b a) c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 d (+.f64 b a))) (sqrt.f64 (+.f64 d (+.f64 b a))) (+.f64 c e))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 d 3) (pow.f64 (+.f64 b a) 3)) (/.f64 1 (fma.f64 (+.f64 b a) (-.f64 (+.f64 b a) d) (*.f64 d d))) (+.f64 c e))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 d d) (pow.f64 (+.f64 b a) 2)) (/.f64 1 (-.f64 d (+.f64 b a))) (+.f64 c e))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (+.f64 d (+.f64 b a)) (+.f64 c e))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 d (+.f64 b a)) (+.f64 c e))) 1)))))) |
| 1× | egg-herbie |
| 120× | associate-+l+_binary64 |
| 56× | associate-+r+_binary64 |
| 38× | +-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 1041 |
| 1 | 57 | 1041 |
| 2 | 139 | 1041 |
| 3 | 252 | 1041 |
| 4 | 256 | 1041 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 c (+.f64 a b)) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 c (+.f64 a (+.f64 d b))) |
d |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 c (+.f64 a (+.f64 d b))) |
d |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 c (+.f64 a d)) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 c (+.f64 a (+.f64 d b))) |
b |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 c (+.f64 a (+.f64 d b))) |
b |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 c (+.f64 a (+.f64 d b))) |
a |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 c (+.f64 a (+.f64 d b))) |
a |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 a (+.f64 d b)) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 c (+.f64 a (+.f64 d b))) |
c |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 c (+.f64 a (+.f64 d b))) |
c |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
e |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
e |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 b e))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
d |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
d |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d e))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
b |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
b |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 d (+.f64 b e))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
a |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
a |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 d (+.f64 b e))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
c |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
c |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
| Outputs |
|---|
(+.f64 c (+.f64 a b)) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 c (+.f64 a (+.f64 b d))) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 c (+.f64 a (+.f64 b d))) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 c (+.f64 a (+.f64 b d))) |
d |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 c (+.f64 a (+.f64 b d))) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 c (+.f64 a (+.f64 b d))) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 c (+.f64 a (+.f64 b d))) |
d |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 c (+.f64 a (+.f64 b d))) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 c (+.f64 a (+.f64 b d))) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 c (+.f64 a (+.f64 b d))) |
(+.f64 c (+.f64 a d)) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 c (+.f64 a (+.f64 b d))) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 c (+.f64 a (+.f64 b d))) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 c (+.f64 a (+.f64 b d))) |
b |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 c (+.f64 a (+.f64 b d))) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 c (+.f64 a (+.f64 b d))) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 c (+.f64 a (+.f64 b d))) |
b |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 c (+.f64 a (+.f64 b d))) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 c (+.f64 a (+.f64 b d))) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 c (+.f64 a (+.f64 b d))) |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 b d)) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 c (+.f64 a (+.f64 b d))) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 c (+.f64 a (+.f64 b d))) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 c (+.f64 a (+.f64 b d))) |
a |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 c (+.f64 a (+.f64 b d))) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 c (+.f64 a (+.f64 b d))) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 c (+.f64 a (+.f64 b d))) |
a |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 c (+.f64 a (+.f64 b d))) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 c (+.f64 a (+.f64 b d))) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 c (+.f64 a (+.f64 b d))) |
(+.f64 a (+.f64 d b)) |
(+.f64 a (+.f64 b d)) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 c (+.f64 a (+.f64 b d))) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 c (+.f64 a (+.f64 b d))) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 c (+.f64 a (+.f64 b d))) |
c |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 c (+.f64 a (+.f64 b d))) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 c (+.f64 a (+.f64 b d))) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 c (+.f64 a (+.f64 b d))) |
c |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 c (+.f64 a (+.f64 b d))) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 c (+.f64 a (+.f64 b d))) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 c (+.f64 a (+.f64 b d))) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 c (+.f64 a (+.f64 b d))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 (+.f64 b d) (+.f64 e c))) |
(+.f64 c (+.f64 a (+.f64 b (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 (+.f64 b d) (+.f64 e c))) |
(+.f64 c (+.f64 a (+.f64 b (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 (+.f64 b d) (+.f64 e c))) |
(+.f64 c (+.f64 a (+.f64 b (+.f64 d e)))) |
e |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 (+.f64 b d) (+.f64 e c))) |
(+.f64 c (+.f64 a (+.f64 b (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 (+.f64 b d) (+.f64 e c))) |
(+.f64 c (+.f64 a (+.f64 b (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 (+.f64 b d) (+.f64 e c))) |
(+.f64 c (+.f64 a (+.f64 b (+.f64 d e)))) |
e |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 (+.f64 b d) (+.f64 e c))) |
(+.f64 c (+.f64 a (+.f64 b (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 (+.f64 b d) (+.f64 e c))) |
(+.f64 c (+.f64 a (+.f64 b (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 (+.f64 b d) (+.f64 e c))) |
(+.f64 c (+.f64 a (+.f64 b (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 b e))) |
(+.f64 (+.f64 a b) (+.f64 e c)) |
(+.f64 c (+.f64 b (+.f64 a e))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 (+.f64 b d) (+.f64 e c))) |
(+.f64 c (+.f64 a (+.f64 b (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 (+.f64 b d) (+.f64 e c))) |
(+.f64 c (+.f64 a (+.f64 b (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 (+.f64 b d) (+.f64 e c))) |
(+.f64 c (+.f64 a (+.f64 b (+.f64 d e)))) |
d |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 (+.f64 b d) (+.f64 e c))) |
(+.f64 c (+.f64 a (+.f64 b (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 (+.f64 b d) (+.f64 e c))) |
(+.f64 c (+.f64 a (+.f64 b (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 (+.f64 b d) (+.f64 e c))) |
(+.f64 c (+.f64 a (+.f64 b (+.f64 d e)))) |
d |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 (+.f64 b d) (+.f64 e c))) |
(+.f64 c (+.f64 a (+.f64 b (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 (+.f64 b d) (+.f64 e c))) |
(+.f64 c (+.f64 a (+.f64 b (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 (+.f64 b d) (+.f64 e c))) |
(+.f64 c (+.f64 a (+.f64 b (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d e))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 (+.f64 b d) (+.f64 e c))) |
(+.f64 c (+.f64 a (+.f64 b (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 (+.f64 b d) (+.f64 e c))) |
(+.f64 c (+.f64 a (+.f64 b (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 (+.f64 b d) (+.f64 e c))) |
(+.f64 c (+.f64 a (+.f64 b (+.f64 d e)))) |
b |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 (+.f64 b d) (+.f64 e c))) |
(+.f64 c (+.f64 a (+.f64 b (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 (+.f64 b d) (+.f64 e c))) |
(+.f64 c (+.f64 a (+.f64 b (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 (+.f64 b d) (+.f64 e c))) |
(+.f64 c (+.f64 a (+.f64 b (+.f64 d e)))) |
b |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 (+.f64 b d) (+.f64 e c))) |
(+.f64 c (+.f64 a (+.f64 b (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 (+.f64 b d) (+.f64 e c))) |
(+.f64 c (+.f64 a (+.f64 b (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 (+.f64 b d) (+.f64 e c))) |
(+.f64 c (+.f64 a (+.f64 b (+.f64 d e)))) |
(+.f64 c (+.f64 d (+.f64 b e))) |
(+.f64 (+.f64 b d) (+.f64 e c)) |
(+.f64 c (+.f64 b (+.f64 d e))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 (+.f64 b d) (+.f64 e c))) |
(+.f64 c (+.f64 a (+.f64 b (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 (+.f64 b d) (+.f64 e c))) |
(+.f64 c (+.f64 a (+.f64 b (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 (+.f64 b d) (+.f64 e c))) |
(+.f64 c (+.f64 a (+.f64 b (+.f64 d e)))) |
a |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 (+.f64 b d) (+.f64 e c))) |
(+.f64 c (+.f64 a (+.f64 b (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 (+.f64 b d) (+.f64 e c))) |
(+.f64 c (+.f64 a (+.f64 b (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 (+.f64 b d) (+.f64 e c))) |
(+.f64 c (+.f64 a (+.f64 b (+.f64 d e)))) |
a |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 (+.f64 b d) (+.f64 e c))) |
(+.f64 c (+.f64 a (+.f64 b (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 (+.f64 b d) (+.f64 e c))) |
(+.f64 c (+.f64 a (+.f64 b (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 (+.f64 b d) (+.f64 e c))) |
(+.f64 c (+.f64 a (+.f64 b (+.f64 d e)))) |
(+.f64 a (+.f64 d (+.f64 b e))) |
(+.f64 a (+.f64 b (+.f64 d e))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 (+.f64 b d) (+.f64 e c))) |
(+.f64 c (+.f64 a (+.f64 b (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 (+.f64 b d) (+.f64 e c))) |
(+.f64 c (+.f64 a (+.f64 b (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 (+.f64 b d) (+.f64 e c))) |
(+.f64 c (+.f64 a (+.f64 b (+.f64 d e)))) |
c |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 (+.f64 b d) (+.f64 e c))) |
(+.f64 c (+.f64 a (+.f64 b (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 (+.f64 b d) (+.f64 e c))) |
(+.f64 c (+.f64 a (+.f64 b (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 (+.f64 b d) (+.f64 e c))) |
(+.f64 c (+.f64 a (+.f64 b (+.f64 d e)))) |
c |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 (+.f64 b d) (+.f64 e c))) |
(+.f64 c (+.f64 a (+.f64 b (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 (+.f64 b d) (+.f64 e c))) |
(+.f64 c (+.f64 a (+.f64 b (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 (+.f64 b d) (+.f64 e c))) |
(+.f64 c (+.f64 a (+.f64 b (+.f64 d e)))) |
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 135 | 1 | 136 |
| Fresh | 2 | 3 | 5 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 138 | 5 | 143 |
| Status | Error | Program |
|---|---|---|
| 0.3b | (+.f64 d (+.f64 b (+.f64 a (+.f64 c e)))) | |
| 0.4b | (fma.f64 (sqrt.f64 e) (sqrt.f64 e) (+.f64 d (+.f64 (+.f64 b a) c))) | |
| 0.4b | (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) | |
| 0.3b | (*.f64 (*.f64 (+.f64 (+.f64 b a) (+.f64 d (+.f64 e c))) 1) 1) | |
| ✓ | 0.2b | (*.f64 (+.f64 (+.f64 a (+.f64 d b)) (+.f64 e c)) 1) |
Compiled 2109 to 655 computations (68.9% saved)
Total 0.2b remaining (91.8%)
Threshold costs 0.2b (91.8%)
Compiled 1095 to 387 computations (64.7% saved)
| 1× | egg-herbie |
| 4× | +-commutative_binary64 |
| 1× | *-commutative_binary64 |
| 1× | *-rgt-identity_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 13 |
| 1 | 19 | 13 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (+.f64 (+.f64 a (+.f64 d b)) (+.f64 e c)) 1) |
| Outputs |
|---|
(*.f64 (+.f64 (+.f64 a (+.f64 d b)) (+.f64 e c)) 1) |
(+.f64 (+.f64 a (+.f64 d b)) (+.f64 e c)) |
| 1× | fuel |
(sort a b c d e)
Compiled 135 to 88 computations (34.8% saved)
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