Time bar (total: 2.5s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 0% | 100% | 0 |
| 0% | 0% | 100% | 1 |
Compiled 53 to 38 computations (28.3% saved)
| 1.2s | 8256× | body | 128 | valid |
| 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 a (+.f64 d b)) |
| ✓ | 0.2b | (+.f64 e (+.f64 c (+.f64 a (+.f64 d b)))) |
36 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | e | @ | inf | (+.f64 e (+.f64 c (+.f64 a (+.f64 d b)))) |
| 0.0ms | e | @ | 0 | (+.f64 e (+.f64 c (+.f64 a (+.f64 d b)))) |
| 0.0ms | a | @ | inf | (+.f64 e (+.f64 c (+.f64 a (+.f64 d b)))) |
| 0.0ms | b | @ | inf | (+.f64 e (+.f64 c (+.f64 a (+.f64 d b)))) |
| 0.0ms | d | @ | inf | (+.f64 e (+.f64 c (+.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 e (+.f64 c (+.f64 a (+.f64 d b)))) |
(+.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 e (+.f64 a (+.f64 (+.f64 d b) c))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 e e) (-.f64 e (+.f64 a (+.f64 (+.f64 d b) c)))) (/.f64 (pow.f64 (+.f64 a (+.f64 (+.f64 d b) c)) 2) (-.f64 e (+.f64 a (+.f64 (+.f64 d b) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 e (+.f64 a (+.f64 (+.f64 d b) c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 e (+.f64 a (+.f64 (+.f64 d b) c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 e (+.f64 a (+.f64 (+.f64 d b) c)))) (pow.f64 (cbrt.f64 (+.f64 e (+.f64 a (+.f64 (+.f64 d b) c)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 e (+.f64 a (+.f64 (+.f64 d b) c)))) 2) (cbrt.f64 (+.f64 e (+.f64 a (+.f64 (+.f64 d b) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 e (+.f64 a (+.f64 (+.f64 d b) c)))) (sqrt.f64 (+.f64 e (+.f64 a (+.f64 (+.f64 d b) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 e 3) (pow.f64 (+.f64 a (+.f64 (+.f64 d b) c)) 3)) (/.f64 1 (fma.f64 e e (*.f64 (+.f64 a (+.f64 (+.f64 d b) c)) (-.f64 (+.f64 a (+.f64 (+.f64 d b) c)) e)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 e e) (pow.f64 (+.f64 a (+.f64 (+.f64 d b) c)) 2)) (/.f64 1 (-.f64 e (+.f64 a (+.f64 (+.f64 d b) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 e e (*.f64 (+.f64 a (+.f64 (+.f64 d b) c)) (-.f64 (+.f64 a (+.f64 (+.f64 d b) c)) e))) (+.f64 (pow.f64 e 3) (pow.f64 (+.f64 a (+.f64 (+.f64 d b) c)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 e (+.f64 a (+.f64 (+.f64 d b) c))) (-.f64 (*.f64 e e) (pow.f64 (+.f64 a (+.f64 (+.f64 d b) c)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 e 3) (pow.f64 (+.f64 a (+.f64 (+.f64 d b) c)) 3)) (fma.f64 e e (*.f64 (+.f64 a (+.f64 (+.f64 d b) c)) (-.f64 (+.f64 a (+.f64 (+.f64 d b) c)) e))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 e 3) (pow.f64 (+.f64 a (+.f64 (+.f64 d b) c)) 3)) (+.f64 (pow.f64 (+.f64 a (+.f64 (+.f64 d b) c)) 2) (-.f64 (*.f64 e e) (*.f64 e (+.f64 a (+.f64 (+.f64 d b) c))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 e e) (pow.f64 (+.f64 a (+.f64 (+.f64 d b) c)) 2)) (-.f64 e (+.f64 a (+.f64 (+.f64 d b) c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 e 3) (pow.f64 (+.f64 a (+.f64 (+.f64 d b) c)) 3))) (neg.f64 (fma.f64 e e (*.f64 (+.f64 a (+.f64 (+.f64 d b) c)) (-.f64 (+.f64 a (+.f64 (+.f64 d b) c)) e)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 e e) (pow.f64 (+.f64 a (+.f64 (+.f64 d b) c)) 2))) (neg.f64 (-.f64 e (+.f64 a (+.f64 (+.f64 d b) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 e c) 3) (pow.f64 (+.f64 a (+.f64 d b)) 3)) (+.f64 (*.f64 (+.f64 e c) (+.f64 e c)) (-.f64 (pow.f64 (+.f64 a (+.f64 d b)) 2) (*.f64 (+.f64 e c) (+.f64 a (+.f64 d b))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 a (+.f64 (+.f64 d b) c)) 2) (*.f64 e e)) (-.f64 (+.f64 a (+.f64 (+.f64 d b) c)) e))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 e c) (+.f64 e c)) (pow.f64 (+.f64 a (+.f64 d b)) 2)) (-.f64 (+.f64 e c) (+.f64 a (+.f64 d b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 e (+.f64 a (+.f64 (+.f64 d b) c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 e (+.f64 a (+.f64 (+.f64 d b) c))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 e (+.f64 a (+.f64 (+.f64 d b) c)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 e (+.f64 a (+.f64 (+.f64 d b) c)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 e (+.f64 a (+.f64 (+.f64 d b) c))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 e (+.f64 a (+.f64 (+.f64 d b) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 e (+.f64 a (+.f64 (+.f64 d b) c))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 e (+.f64 a (+.f64 (+.f64 d b) c))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 e (+.f64 a (+.f64 (+.f64 d b) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 e (+.f64 a (+.f64 (+.f64 d b) c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 a (+.f64 (+.f64 d b) c)) e)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 e e)) (cbrt.f64 e) (+.f64 a (+.f64 (+.f64 d b) c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 a (+.f64 (+.f64 d b) c))) 2) (cbrt.f64 (+.f64 a (+.f64 (+.f64 d b) c))) e)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 e) (sqrt.f64 e) (+.f64 a (+.f64 (+.f64 d b) c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 a (+.f64 (+.f64 d b) c))) (sqrt.f64 (+.f64 a (+.f64 (+.f64 d b) c))) e)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 e (+.f64 a (+.f64 (+.f64 d b) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 e (+.f64 a (+.f64 (+.f64 d b) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 e (+.f64 a (+.f64 (+.f64 d b) c)))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 a (+.f64 d b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 a a) (-.f64 a (+.f64 d b))) (/.f64 (pow.f64 (+.f64 d b) 2) (-.f64 a (+.f64 d b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 a (+.f64 d b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 a (+.f64 d b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 a (+.f64 d b))) (cbrt.f64 (pow.f64 (+.f64 a (+.f64 d b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 a (+.f64 d b)) 2)) (cbrt.f64 (+.f64 a (+.f64 d b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 a (+.f64 d b))) (sqrt.f64 (+.f64 a (+.f64 d b))))))) (#(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 a (+.f64 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 a (+.f64 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 a (+.f64 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 a (+.f64 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 a (+.f64 d b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 a (+.f64 d b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 a (+.f64 d b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 a (+.f64 d b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 a (+.f64 d b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 a (+.f64 d b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 a (+.f64 d b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 a (+.f64 d b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 a (+.f64 d b))))))) (#(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 (pow.f64 (cbrt.f64 (+.f64 d b)) 2) (cbrt.f64 (+.f64 d b)) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (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 expm1.f64 (log1p.f64 (+.f64 a (+.f64 d b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 a (+.f64 d b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 a (+.f64 d b))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 a (+.f64 (+.f64 d b) c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 c c) (-.f64 c (+.f64 a (+.f64 d b)))) (/.f64 (pow.f64 (+.f64 a (+.f64 d b)) 2) (-.f64 c (+.f64 a (+.f64 d b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 a (+.f64 (+.f64 d b) c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 a (+.f64 (+.f64 d b) c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 a (+.f64 (+.f64 d b) c))) (pow.f64 (cbrt.f64 (+.f64 a (+.f64 (+.f64 d b) c))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 a (+.f64 (+.f64 d b) c))) 2) (cbrt.f64 (+.f64 a (+.f64 (+.f64 d b) c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 a (+.f64 (+.f64 d b) c))) (sqrt.f64 (+.f64 a (+.f64 (+.f64 d b) c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 c 3) (pow.f64 (+.f64 a (+.f64 d b)) 3)) (/.f64 1 (fma.f64 c c (*.f64 (+.f64 a (+.f64 d b)) (-.f64 (+.f64 a (+.f64 d b)) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 c c) (pow.f64 (+.f64 a (+.f64 d b)) 2)) (/.f64 1 (-.f64 c (+.f64 a (+.f64 d b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 c c (*.f64 (+.f64 a (+.f64 d b)) (-.f64 (+.f64 a (+.f64 d b)) c))) (+.f64 (pow.f64 c 3) (pow.f64 (+.f64 a (+.f64 d b)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 c (+.f64 a (+.f64 d b))) (-.f64 (*.f64 c c) (pow.f64 (+.f64 a (+.f64 d b)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 c 3) (pow.f64 (+.f64 a (+.f64 d b)) 3)) (fma.f64 c c (*.f64 (+.f64 a (+.f64 d b)) (-.f64 (+.f64 a (+.f64 d b)) c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 c 3) (pow.f64 (+.f64 a (+.f64 d b)) 3)) (+.f64 (pow.f64 (+.f64 a (+.f64 d b)) 2) (-.f64 (*.f64 c c) (*.f64 c (+.f64 a (+.f64 d b))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 c c) (pow.f64 (+.f64 a (+.f64 d b)) 2)) (-.f64 c (+.f64 a (+.f64 d b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 c 3) (pow.f64 (+.f64 a (+.f64 d b)) 3))) (neg.f64 (fma.f64 c c (*.f64 (+.f64 a (+.f64 d b)) (-.f64 (+.f64 a (+.f64 d b)) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 c c) (pow.f64 (+.f64 a (+.f64 d b)) 2))) (neg.f64 (-.f64 c (+.f64 a (+.f64 d b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 c a) 3) (pow.f64 (+.f64 d b) 3)) (+.f64 (*.f64 (+.f64 c a) (+.f64 c a)) (-.f64 (pow.f64 (+.f64 d b) 2) (*.f64 (+.f64 c a) (+.f64 d b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 a (+.f64 d b)) 2) (*.f64 c c)) (-.f64 (+.f64 a (+.f64 d b)) c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 c a) (+.f64 c a)) (pow.f64 (+.f64 d b) 2)) (-.f64 (+.f64 c a) (+.f64 d b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 a (+.f64 (+.f64 d b) c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 a (+.f64 (+.f64 d b) c))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 a (+.f64 (+.f64 d b) c))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 a (+.f64 (+.f64 d b) c)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 a (+.f64 (+.f64 d b) c)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 a (+.f64 (+.f64 d b) c))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 a (+.f64 (+.f64 d b) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 a (+.f64 (+.f64 d b) c)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 a (+.f64 (+.f64 d b) c))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 c (+.f64 a (+.f64 d b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 a (+.f64 d b)) c)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 a (+.f64 d b)) 2)) (cbrt.f64 (+.f64 a (+.f64 d b))) c)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 c) 2) (cbrt.f64 c) (+.f64 a (+.f64 d b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 a (+.f64 d b))) (sqrt.f64 (+.f64 a (+.f64 d b))) c)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 c) (sqrt.f64 c) (+.f64 a (+.f64 d b)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 a (+.f64 (+.f64 d b) c))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 a (+.f64 (+.f64 d b) c))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 a (+.f64 (+.f64 d b) c))) 1)))))) |
| 1× | egg-herbie |
| 125× | associate-+l+_binary64 |
| 56× | associate-+r+_binary64 |
| 37× | +-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 699 |
| 1 | 57 | 699 |
| 2 | 139 | 699 |
| 3 | 253 | 699 |
| 4 | 262 | 699 |
| 1× | saturated |
| Inputs |
|---|
(+.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 d b) |
a |
a |
(+.f64 a b) |
d |
d |
(+.f64 a d) |
b |
b |
(+.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 c (+.f64 a (+.f64 d b))) |
(+.f64 (+.f64 a (+.f64 b c)) d) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
e |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
e |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 a (+.f64 d (+.f64 b e))) |
(+.f64 b (+.f64 a (+.f64 d e))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
c |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
c |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 c (+.f64 d (+.f64 b e))) |
(+.f64 (+.f64 d b) (+.f64 c e)) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
a |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
a |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 b e))) |
(+.f64 (+.f64 c a) (+.f64 b e)) |
(+.f64 (+.f64 b e) (+.f64 c a)) |
(+.f64 b (+.f64 a (+.f64 c e))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
d |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
d |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d e))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
b |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
b |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 d b) |
a |
a |
(+.f64 a b) |
d |
d |
(+.f64 a d) |
b |
b |
(+.f64 a (+.f64 d b)) |
c |
c |
(+.f64 c (+.f64 d b)) |
a |
a |
(+.f64 c (+.f64 a b)) |
(+.f64 a (+.f64 b c)) |
(+.f64 a (+.f64 c b)) |
d |
d |
(+.f64 c (+.f64 a d)) |
(+.f64 d (+.f64 c a)) |
b |
b |
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 132 | 4 | 136 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 133 | 5 | 138 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.3b | (fma.f64 (sqrt.f64 e) (sqrt.f64 e) (+.f64 a (+.f64 (+.f64 d b) c))) |
| 0.3b | (+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) | |
| 0.4b | (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) | |
| 0.3b | (+.f64 e (+.f64 c (expm1.f64 (log1p.f64 (+.f64 a (+.f64 d b)))))) | |
| 0.3b | (+.f64 e (+.f64 c (pow.f64 (sqrt.f64 (+.f64 a (+.f64 d b))) 2))) |
Compiled 2335 to 722 computations (69.1% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (+.f64 (+.f64 d b) c) |
| ✓ | 0.2b | (+.f64 a (+.f64 (+.f64 d b) c)) |
| ✓ | 0.3b | (fma.f64 (sqrt.f64 e) (sqrt.f64 e) (+.f64 a (+.f64 (+.f64 d b) c))) |
36 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | e | @ | 0 | (fma.f64 (sqrt.f64 e) (sqrt.f64 e) (+.f64 a (+.f64 (+.f64 d b) c))) |
| 1.0ms | e | @ | inf | (fma.f64 (sqrt.f64 e) (sqrt.f64 e) (+.f64 a (+.f64 (+.f64 d b) c))) |
| 1.0ms | e | @ | -inf | (fma.f64 (sqrt.f64 e) (sqrt.f64 e) (+.f64 a (+.f64 (+.f64 d b) c))) |
| 0.0ms | a | @ | 0 | (fma.f64 (sqrt.f64 e) (sqrt.f64 e) (+.f64 a (+.f64 (+.f64 d b) c))) |
| 0.0ms | c | @ | 0 | (fma.f64 (sqrt.f64 e) (sqrt.f64 e) (+.f64 a (+.f64 (+.f64 d b) c))) |
| 1× | batch-egg-rewrite |
| 704× | fma-def_binary64 |
| 344× | fma-neg_binary64 |
| 235× | expm1-udef_binary64 |
| 235× | log1p-udef_binary64 |
| 136× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 30 |
| 1 | 250 | 30 |
| 2 | 3761 | 30 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (sqrt.f64 e) (sqrt.f64 e) (+.f64 a (+.f64 (+.f64 d b) c))) |
(+.f64 a (+.f64 (+.f64 d b) c)) |
(+.f64 (+.f64 d b) c) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 e (+.f64 a (+.f64 d (+.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 a (+.f64 d (+.f64 b c))) e)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 e a) (+.f64 d (+.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 e (+.f64 d (+.f64 b c))) a)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 e (+.f64 a (+.f64 d b))) c)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (+.f64 e a) (+.f64 d (+.f64 b c))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 e a) (+.f64 d (+.f64 b c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (+.f64 e a) (+.f64 d (+.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (+.f64 e a) (+.f64 d (+.f64 b c)))) (pow.f64 (cbrt.f64 (+.f64 (+.f64 e a) (+.f64 d (+.f64 b c)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 e a) (+.f64 d (+.f64 b c)))) 2) (cbrt.f64 (+.f64 (+.f64 e a) (+.f64 d (+.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (+.f64 e a) (+.f64 d (+.f64 b c)))) (sqrt.f64 (+.f64 (+.f64 e a) (+.f64 d (+.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 e 3) (pow.f64 (+.f64 a (+.f64 d (+.f64 b c))) 3)) (fma.f64 e e (-.f64 (pow.f64 (+.f64 a (+.f64 d (+.f64 b c))) 2) (*.f64 e (+.f64 a (+.f64 d (+.f64 b c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 e e) (pow.f64 (+.f64 a (+.f64 d (+.f64 b c))) 2)) (-.f64 e (+.f64 a (+.f64 d (+.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (+.f64 e a) (+.f64 d (+.f64 b c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (+.f64 e a) (+.f64 d (+.f64 b c))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (+.f64 e a) (+.f64 d (+.f64 b c)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (+.f64 e a) (+.f64 d (+.f64 b c)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (+.f64 e a) (+.f64 d (+.f64 b c))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (+.f64 e a) (+.f64 d (+.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 e a) (+.f64 d (+.f64 b c))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (+.f64 e a) (+.f64 d (+.f64 b c))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (+.f64 e a) (+.f64 d (+.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (+.f64 e a) (+.f64 d (+.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (+.f64 e a) (+.f64 d (+.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 e a) (+.f64 d (+.f64 b c)))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 a (+.f64 d (+.f64 b c))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 a a) (-.f64 a (+.f64 d (+.f64 b c)))) (/.f64 (pow.f64 (+.f64 d (+.f64 b c)) 2) (-.f64 a (+.f64 d (+.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 a (+.f64 d (+.f64 b c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 a (+.f64 d (+.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 a (+.f64 d (+.f64 b c)))) (pow.f64 (cbrt.f64 (+.f64 a (+.f64 d (+.f64 b c)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 a (+.f64 d (+.f64 b c)))) 2) (cbrt.f64 (+.f64 a (+.f64 d (+.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 a (+.f64 d (+.f64 b c)))) (sqrt.f64 (+.f64 a (+.f64 d (+.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 a 3) (pow.f64 (+.f64 d (+.f64 b c)) 3)) (/.f64 1 (fma.f64 (+.f64 d (+.f64 b c)) (-.f64 (+.f64 d (+.f64 b c)) a) (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 a a) (pow.f64 (+.f64 d (+.f64 b c)) 2)) (/.f64 1 (-.f64 a (+.f64 d (+.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (+.f64 d (+.f64 b c)) (-.f64 (+.f64 d (+.f64 b c)) a) (*.f64 a a)) (+.f64 (pow.f64 a 3) (pow.f64 (+.f64 d (+.f64 b c)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 a (+.f64 d (+.f64 b c))) (-.f64 (*.f64 a a) (pow.f64 (+.f64 d (+.f64 b c)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 a 3) (pow.f64 (+.f64 d (+.f64 b c)) 3)) (fma.f64 (+.f64 d (+.f64 b c)) (-.f64 (+.f64 d (+.f64 b c)) a) (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 a 3) (pow.f64 (+.f64 d (+.f64 b c)) 3)) (+.f64 (pow.f64 (+.f64 d (+.f64 b c)) 2) (-.f64 (*.f64 a a) (*.f64 a (+.f64 d (+.f64 b c))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 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(+.f64 d (+.f64 b c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 a (+.f64 d (+.f64 b c))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 a (+.f64 d (+.f64 b c)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 a (+.f64 d (+.f64 b c)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 a (+.f64 d (+.f64 b c))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 a (+.f64 d (+.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 a (+.f64 d (+.f64 b c))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 a (+.f64 d (+.f64 b c))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 a (+.f64 d (+.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a 1 (+.f64 d (+.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 d 1 (+.f64 (+.f64 b c) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 d b) 1 (+.f64 c a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 c 1 (+.f64 a (+.f64 d b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 d (+.f64 b c)) 1 a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 a (+.f64 d (+.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 d (+.f64 (+.f64 b c) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 d b) (+.f64 c a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 c (+.f64 a (+.f64 d b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 d (+.f64 b c)) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 a (+.f64 d b)) c)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 c) (pow.f64 (cbrt.f64 c) 2) (+.f64 a (+.f64 d b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 c) 2) (cbrt.f64 c) (+.f64 a (+.f64 d b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 d) (pow.f64 (cbrt.f64 d) 2) (+.f64 (+.f64 b c) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 d) 2) (cbrt.f64 d) (+.f64 (+.f64 b c) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 d (+.f64 b c))) (cbrt.f64 (pow.f64 (+.f64 d (+.f64 b c)) 2)) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 d (+.f64 b c)) 2)) (cbrt.f64 (+.f64 d (+.f64 b c))) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 d b)) (pow.f64 (cbrt.f64 (+.f64 d b)) 2) (+.f64 c a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 d b)) 2) (cbrt.f64 (+.f64 d b)) (+.f64 c a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 a) (pow.f64 (cbrt.f64 a) 2) (+.f64 d (+.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (+.f64 d (+.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 c) (sqrt.f64 c) (+.f64 a (+.f64 d b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 d) (sqrt.f64 d) (+.f64 (+.f64 b c) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 d (+.f64 b c))) (sqrt.f64 (+.f64 d (+.f64 b c))) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 d b)) (sqrt.f64 (+.f64 d b)) (+.f64 c a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (sqrt.f64 a) (+.f64 d (+.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (+.f64 d b) 3) (pow.f64 c 3)) (/.f64 1 (fma.f64 c (-.f64 c (+.f64 d b)) (pow.f64 (+.f64 d b) 2))) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 d 3) (pow.f64 b 3)) (/.f64 1 (fma.f64 b (-.f64 b d) (*.f64 d d))) (+.f64 c a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (+.f64 d b) 2) (*.f64 c c)) (/.f64 1 (+.f64 d (-.f64 b c))) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 d b) (-.f64 d b)) (/.f64 1 (-.f64 d b)) (+.f64 c a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 a (+.f64 d b)) 1 c)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (+.f64 a (+.f64 d b))) (cbrt.f64 (+.f64 a (+.f64 d b)))) (cbrt.f64 (+.f64 a (+.f64 d b))) c)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 a (+.f64 d b))) (sqrt.f64 (+.f64 a (+.f64 d b))) c)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 a (+.f64 d (+.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 a (+.f64 d (+.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 a (+.f64 d (+.f64 b c)))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 d (+.f64 b c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 d b) 2) (+.f64 d (-.f64 b c))) (/.f64 (*.f64 c c) (+.f64 d (-.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 d (+.f64 b c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 d (+.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 d (+.f64 b c))) (cbrt.f64 (pow.f64 (+.f64 d (+.f64 b c)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 d (+.f64 b c)) 2)) (cbrt.f64 (+.f64 d (+.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 d (+.f64 b c))) (sqrt.f64 (+.f64 d (+.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 d b) 3) (pow.f64 c 3)) (/.f64 1 (fma.f64 c (-.f64 c (+.f64 d b)) (pow.f64 (+.f64 d b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 d b) 2) (*.f64 c c)) (/.f64 1 (+.f64 d (-.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 c (-.f64 c (+.f64 d b)) (pow.f64 (+.f64 d b) 2)) (+.f64 (pow.f64 (+.f64 d b) 3) (pow.f64 c 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 d (-.f64 b c)) (-.f64 (pow.f64 (+.f64 d b) 2) (*.f64 c c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 d b) 3) (pow.f64 c 3)) (fma.f64 c (-.f64 c (+.f64 d b)) (pow.f64 (+.f64 d b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 d b) 3) (pow.f64 c 3)) (fma.f64 c c (-.f64 (pow.f64 (+.f64 d b) 2) (*.f64 (+.f64 d b) c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 d b) 2) (*.f64 c c)) (+.f64 d (-.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 d b) 3) (pow.f64 c 3))) (neg.f64 (fma.f64 c (-.f64 c (+.f64 d b)) (pow.f64 (+.f64 d b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 d b) 2) (*.f64 c c))) (neg.f64 (+.f64 d (-.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 d 3) (pow.f64 (+.f64 b c) 3)) (fma.f64 d d (-.f64 (*.f64 (+.f64 b c) (+.f64 b c)) (*.f64 d (+.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 d d) (*.f64 (+.f64 b c) (+.f64 b c))) (-.f64 d (+.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 c c) (pow.f64 (+.f64 d b) 2)) (-.f64 c (+.f64 d b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 d (+.f64 b c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 d (+.f64 b c))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 d (+.f64 b c))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 d (+.f64 b c)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 d (+.f64 b c)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 d (+.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 d (+.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 d (+.f64 b c)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 d (+.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 d 1 (+.f64 b c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 d 1 (*.f64 (+.f64 b c) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b 1 (+.f64 d c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 d b) 1 c)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 c 1 (+.f64 d b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 d (+.f64 b c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 d (*.f64 (+.f64 b c) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 b (+.f64 d c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 d b) c)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 c (+.f64 d b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 b c) d)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 c) (pow.f64 (cbrt.f64 c) 2) (+.f64 d b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 c) 2) (cbrt.f64 c) (+.f64 d b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 d) (pow.f64 (cbrt.f64 d) 2) (+.f64 b c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 d) (pow.f64 (cbrt.f64 d) 2) (*.f64 (+.f64 b c) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 d) 2) (cbrt.f64 d) (+.f64 b c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 d) 2) (cbrt.f64 d) (*.f64 (+.f64 b c) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 b) (cbrt.f64 (*.f64 b b)) (+.f64 d c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 b b)) (cbrt.f64 b) (+.f64 d c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 d b)) (pow.f64 (cbrt.f64 (+.f64 d b)) 2) c)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 d b)) 2) (cbrt.f64 (+.f64 d b)) c)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 c) (sqrt.f64 c) (+.f64 d b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 d) (sqrt.f64 d) (+.f64 b c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 d) (sqrt.f64 d) (*.f64 (+.f64 b c) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b) (sqrt.f64 b) (+.f64 d c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 d b)) (sqrt.f64 (+.f64 d b)) c)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 d 3) (pow.f64 b 3)) (/.f64 1 (fma.f64 b (-.f64 b d) (*.f64 d d))) c)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 d b) (-.f64 d b)) (/.f64 1 (-.f64 d b)) c)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (+.f64 b c)) (cbrt.f64 (+.f64 b c))) (cbrt.f64 (+.f64 b c)) d)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 b c)) (sqrt.f64 (+.f64 b c)) d)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 d (+.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 d (+.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 d (+.f64 b c))) 1)))))) |
| 1× | egg-herbie |
| 118× | associate-+l+_binary64 |
| 54× | associate-+r+_binary64 |
| 32× | +-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 1129 |
| 1 | 60 | 1129 |
| 2 | 137 | 1129 |
| 3 | 239 | 1129 |
| 4 | 242 | 1129 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.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 (+.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 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 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 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 b) |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
d |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
d |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
(+.f64 c d) |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
b |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
b |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
(+.f64 d b) |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
c |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
c |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
| Outputs |
|---|
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 a (+.f64 c (+.f64 d b))) |
(+.f64 c (+.f64 d (+.f64 b e))) |
(+.f64 b (+.f64 c (+.f64 d e))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 c (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 c (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 c (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
a |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 c (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 c (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 c (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
a |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 c (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 c (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 c (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 b e))) |
(+.f64 c (+.f64 b (+.f64 a e))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 c (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 c (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 c (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
d |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 c (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 c (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 c (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
d |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 c (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 c (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 c (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d e))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 c (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 c (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 c (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
b |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 c (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 c (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 c (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
b |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 c (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 c (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 c (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 a (+.f64 d (+.f64 b e))) |
(+.f64 b (+.f64 a (+.f64 d e))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 c (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 c (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 c (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
c |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 c (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 c (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 c (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
c |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 c (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 c (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 c (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 a (+.f64 c (+.f64 d b))) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 a (+.f64 c (+.f64 d b))) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 a (+.f64 c (+.f64 d b))) |
a |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 a (+.f64 c (+.f64 d b))) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 a (+.f64 c (+.f64 d b))) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 a (+.f64 c (+.f64 d b))) |
a |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 a (+.f64 c (+.f64 d b))) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 a (+.f64 c (+.f64 d b))) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 a (+.f64 c (+.f64 d b))) |
(+.f64 c (+.f64 a b)) |
(+.f64 a (+.f64 c b)) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 a (+.f64 c (+.f64 d b))) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 a (+.f64 c (+.f64 d b))) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 a (+.f64 c (+.f64 d b))) |
d |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 a (+.f64 c (+.f64 d b))) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 a (+.f64 c (+.f64 d b))) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 a (+.f64 c (+.f64 d b))) |
d |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 a (+.f64 c (+.f64 d b))) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 a (+.f64 c (+.f64 d b))) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 a (+.f64 c (+.f64 d b))) |
(+.f64 c (+.f64 a d)) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 a (+.f64 c (+.f64 d b))) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 a (+.f64 c (+.f64 d b))) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 a (+.f64 c (+.f64 d b))) |
b |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 a (+.f64 c (+.f64 d b))) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 a (+.f64 c (+.f64 d b))) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 a (+.f64 c (+.f64 d b))) |
b |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 a (+.f64 c (+.f64 d b))) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 a (+.f64 c (+.f64 d b))) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 a (+.f64 c (+.f64 d b))) |
(+.f64 a (+.f64 d b)) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 a (+.f64 c (+.f64 d b))) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 a (+.f64 c (+.f64 d b))) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 a (+.f64 c (+.f64 d b))) |
c |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 a (+.f64 c (+.f64 d b))) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 a (+.f64 c (+.f64 d b))) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 a (+.f64 c (+.f64 d b))) |
c |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 a (+.f64 c (+.f64 d b))) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 a (+.f64 c (+.f64 d b))) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 a (+.f64 c (+.f64 d b))) |
(+.f64 c b) |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
d |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
d |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
(+.f64 c d) |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
b |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
b |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
(+.f64 d b) |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
c |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
c |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 172 | 1 | 173 |
| Fresh | 1 | 3 | 4 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 173 | 5 | 178 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.3b | (fma.f64 (sqrt.f64 e) (sqrt.f64 e) (+.f64 a (+.f64 (+.f64 d b) c))) |
| 0.3b | (+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) | |
| ▶ | 0.2b | (+.f64 (+.f64 e a) (+.f64 d (+.f64 b c))) |
| 0.4b | (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) | |
| 0.3b | (+.f64 e (+.f64 c (expm1.f64 (log1p.f64 (+.f64 a (+.f64 d b)))))) |
Compiled 3036 to 865 computations (71.5% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (+.f64 d (+.f64 b c)) |
| ✓ | 0.2b | (+.f64 (+.f64 e a) (+.f64 d (+.f64 b c))) |
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | e | @ | 0 | (+.f64 (+.f64 e a) (+.f64 d (+.f64 b c))) |
| 0.0ms | a | @ | inf | (+.f64 (+.f64 e a) (+.f64 d (+.f64 b c))) |
| 0.0ms | a | @ | -inf | (+.f64 (+.f64 e a) (+.f64 d (+.f64 b c))) |
| 0.0ms | e | @ | -inf | (+.f64 (+.f64 e a) (+.f64 d (+.f64 b c))) |
| 0.0ms | b | @ | inf | (+.f64 (+.f64 e a) (+.f64 d (+.f64 b 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 | 4042 | 20 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (+.f64 e a) (+.f64 d (+.f64 b c))) |
(+.f64 d (+.f64 b c)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 e (+.f64 a (+.f64 b (+.f64 c d)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 e a) 2) (+.f64 e (-.f64 a (+.f64 b (+.f64 c d))))) (/.f64 (pow.f64 (+.f64 b (+.f64 c d)) 2) (+.f64 e (-.f64 a (+.f64 b (+.f64 c d))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 e (+.f64 a (+.f64 b (+.f64 c d)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 e (+.f64 a (+.f64 b (+.f64 c d)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 e (+.f64 a (+.f64 b (+.f64 c d))))) (pow.f64 (cbrt.f64 (+.f64 e (+.f64 a (+.f64 b (+.f64 c d))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 e (+.f64 a (+.f64 b (+.f64 c d))))) 2) (cbrt.f64 (+.f64 e (+.f64 a (+.f64 b (+.f64 c d))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 e (+.f64 a (+.f64 b (+.f64 c d))))) (sqrt.f64 (+.f64 e (+.f64 a (+.f64 b (+.f64 c d))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 e a) 3) (pow.f64 (+.f64 b (+.f64 c d)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 e a) 2) (*.f64 (+.f64 b (+.f64 c d)) (-.f64 (+.f64 b (+.f64 c d)) (+.f64 e a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 e a) 2) (pow.f64 (+.f64 b (+.f64 c d)) 2)) (/.f64 1 (+.f64 e (-.f64 a (+.f64 b (+.f64 c d))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 e a) 2) (*.f64 (+.f64 b (+.f64 c d)) (-.f64 (+.f64 b (+.f64 c d)) (+.f64 e a)))) (+.f64 (pow.f64 (+.f64 e a) 3) (pow.f64 (+.f64 b (+.f64 c d)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 e (-.f64 a (+.f64 b (+.f64 c d)))) (-.f64 (pow.f64 (+.f64 e a) 2) (pow.f64 (+.f64 b (+.f64 c d)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 e a) 3) (pow.f64 (+.f64 b (+.f64 c d)) 3)) (+.f64 (pow.f64 (+.f64 e a) 2) (*.f64 (+.f64 b (+.f64 c d)) (-.f64 (+.f64 b 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (+.f64 (pow.f64 d 3) (pow.f64 (+.f64 b c) 3)) (fma.f64 e e (*.f64 a (-.f64 a e)))) (*.f64 (fma.f64 d d (*.f64 (+.f64 b c) (-.f64 (+.f64 b c) d))) (+.f64 (pow.f64 e 3) (pow.f64 a 3)))) (*.f64 (fma.f64 d d (*.f64 (+.f64 b c) (-.f64 (+.f64 b c) d))) (fma.f64 e e (*.f64 a (-.f64 a e)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (-.f64 (*.f64 d d) (pow.f64 (+.f64 b c) 2)) (fma.f64 e e (*.f64 a (-.f64 a e)))) (*.f64 (-.f64 (-.f64 d c) b) (+.f64 (pow.f64 e 3) (pow.f64 a 3)))) (*.f64 (-.f64 (-.f64 d c) b) (fma.f64 e e (*.f64 a (-.f64 a e)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (+.f64 (pow.f64 d 3) (pow.f64 (+.f64 b c) 3)) (-.f64 e a)) (*.f64 (fma.f64 d d (*.f64 (+.f64 b c) (-.f64 (+.f64 b c) d))) (-.f64 (*.f64 e e) (*.f64 a a)))) (*.f64 (fma.f64 d d (*.f64 (+.f64 b c) (-.f64 (+.f64 b c) d))) (-.f64 e a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (-.f64 (*.f64 d d) 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 e (+.f64 a d)) (+.f64 e (+.f64 a d))) (pow.f64 (+.f64 b c) 2)) (-.f64 (+.f64 e (+.f64 a d)) (+.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 e (+.f64 a (+.f64 b (+.f64 c d)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 e (+.f64 a (+.f64 b (+.f64 c d)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 e (+.f64 a (+.f64 b (+.f64 c d))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 e (+.f64 a (+.f64 b (+.f64 c d))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 e (+.f64 a (+.f64 b (+.f64 c d)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 e (+.f64 a (+.f64 b (+.f64 c d))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 e (+.f64 a (+.f64 b (+.f64 c d)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 e (+.f64 a (+.f64 b (+.f64 c d)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 e (+.f64 a (+.f64 b (+.f64 c d))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 e (+.f64 a (+.f64 b (+.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 e a) (+.f64 b (+.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 b (+.f64 c d)) (+.f64 e a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 e e)) (cbrt.f64 e) (+.f64 a (+.f64 b (+.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 b (+.f64 c d))) 2) (cbrt.f64 (+.f64 b (+.f64 c d))) (+.f64 e a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 e a)) 2) (cbrt.f64 (+.f64 e a)) (+.f64 b (+.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 e) (sqrt.f64 e) (+.f64 a (+.f64 b (+.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 b (+.f64 c d))) (sqrt.f64 (+.f64 b (+.f64 c d))) (+.f64 e a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 e a)) (sqrt.f64 (+.f64 e a)) (+.f64 b (+.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 e (+.f64 a (+.f64 b (+.f64 c d))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 e (+.f64 a (+.f64 b (+.f64 c d))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 e (+.f64 a (+.f64 b (+.f64 c d))))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 b (+.f64 c d)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 d d) (-.f64 (-.f64 d c) b)) (/.f64 (pow.f64 (+.f64 b c) 2) (-.f64 (-.f64 d c) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 b (+.f64 c d)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 b (+.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 b (+.f64 c d))) (pow.f64 (cbrt.f64 (+.f64 b (+.f64 c d))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 b (+.f64 c d))) 2) (cbrt.f64 (+.f64 b (+.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 b (+.f64 c d))) (sqrt.f64 (+.f64 b (+.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 d 3) (pow.f64 (+.f64 b c) 3)) (/.f64 1 (fma.f64 d d (*.f64 (+.f64 b c) (-.f64 (+.f64 b c) d)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 d d) (pow.f64 (+.f64 b c) 2)) (/.f64 1 (-.f64 (-.f64 d c) b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 d d (*.f64 (+.f64 b c) (-.f64 (+.f64 b c) d))) (+.f64 (pow.f64 d 3) (pow.f64 (+.f64 b c) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (-.f64 d c) b) (-.f64 (*.f64 d d) (pow.f64 (+.f64 b c) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 d 3) (pow.f64 (+.f64 b c) 3)) (fma.f64 d d (*.f64 (+.f64 b c) (-.f64 (+.f64 b c) d))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 d 3) (pow.f64 (+.f64 b c) 3)) (+.f64 (pow.f64 (+.f64 b c) 2) (-.f64 (*.f64 d d) (*.f64 d (+.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 d d) (pow.f64 (+.f64 b c) 2)) (-.f64 (-.f64 d c) b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 d 3) (pow.f64 (+.f64 b c) 3))) (neg.f64 (fma.f64 d d (*.f64 (+.f64 b c) (-.f64 (+.f64 b c) d)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 d d) (pow.f64 (+.f64 b c) 2))) (neg.f64 (-.f64 (-.f64 d c) b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 d b) 3) (pow.f64 c 3)) (+.f64 (*.f64 (+.f64 d b) (+.f64 d b)) (-.f64 (*.f64 c c) (*.f64 (+.f64 d b) c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 b c) 2) (*.f64 d d)) (-.f64 (+.f64 b c) d))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 d b) (+.f64 d b)) (*.f64 c c)) (-.f64 (+.f64 d b) c))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 b (+.f64 c d)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 b (+.f64 c d))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 b (+.f64 c d))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 b (+.f64 c d)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 b (+.f64 c d)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 b (+.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 b (+.f64 c d)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 b (+.f64 c d)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 b (+.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 d (+.f64 b c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 b c) d)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 b c) 2)) (cbrt.f64 (+.f64 b c)) d)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 d d)) (cbrt.f64 d) (+.f64 b c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 b c)) (sqrt.f64 (+.f64 b c)) d)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 d) (sqrt.f64 d) (+.f64 b c))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 b (+.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 b (+.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 b (+.f64 c d))) 1)))))) |
| 1× | egg-herbie |
| 124× | associate-+l+_binary64 |
| 58× | associate-+r+_binary64 |
| 46× | +-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 852 |
| 1 | 52 | 852 |
| 2 | 134 | 852 |
| 3 | 261 | 852 |
| 4 | 272 | 852 |
| 1× | saturated |
| Inputs |
|---|
(+.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 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 (+.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 b) |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
d |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
d |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
(+.f64 c d) |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
b |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
b |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
(+.f64 d b) |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
c |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
c |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
| Outputs |
|---|
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 (+.f64 c a) (+.f64 d b)) |
(+.f64 (+.f64 d b) (+.f64 c a)) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
e |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
e |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 c (+.f64 d (+.f64 b e))) |
(+.f64 e (+.f64 c (+.f64 d b))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
a |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
a |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 b e))) |
(+.f64 (+.f64 b e) (+.f64 c a)) |
(+.f64 b (+.f64 c (+.f64 a e))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
d |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
d |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d e))) |
(+.f64 c (+.f64 (+.f64 a d) e)) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
b |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
b |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 a (+.f64 d (+.f64 b e))) |
(+.f64 (+.f64 a d) (+.f64 b e)) |
(+.f64 b (+.f64 a (+.f64 d e))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
c |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
c |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e))) |
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e)))) |
(+.f64 c b) |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
d |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
d |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
(+.f64 c d) |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
b |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
b |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
(+.f64 d b) |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
c |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
c |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
5 alts after pruning (3 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 107 | 1 | 108 |
| Fresh | 1 | 2 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 108 | 5 | 113 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.3b | (fma.f64 (sqrt.f64 e) (sqrt.f64 e) (+.f64 a (+.f64 (+.f64 d b) c))) |
| 0.3b | (+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) | |
| ▶ | 0.2b | (fma.f64 1 e (+.f64 a (+.f64 b (+.f64 c d)))) |
| ✓ | 0.2b | (+.f64 (+.f64 e a) (+.f64 d (+.f64 b c))) |
| 0.4b | (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) |
Compiled 2103 to 606 computations (71.2% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (+.f64 b (+.f64 c d)) |
| ✓ | 0.2b | (+.f64 a (+.f64 b (+.f64 c d))) |
| ✓ | 0.2b | (fma.f64 1 e (+.f64 a (+.f64 b (+.f64 c d)))) |
36 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | e | @ | inf | (fma.f64 1 e (+.f64 a (+.f64 b (+.f64 c d)))) |
| 1.0ms | e | @ | 0 | (fma.f64 1 e (+.f64 a (+.f64 b (+.f64 c d)))) |
| 0.0ms | e | @ | -inf | (fma.f64 1 e (+.f64 a (+.f64 b (+.f64 c d)))) |
| 0.0ms | a | @ | 0 | (fma.f64 1 e (+.f64 a (+.f64 b (+.f64 c d)))) |
| 0.0ms | b | @ | 0 | (fma.f64 1 e (+.f64 a (+.f64 b (+.f64 c d)))) |
| 1× | batch-egg-rewrite |
| 649× | fma-def_binary64 |
| 338× | fma-neg_binary64 |
| 227× | expm1-udef_binary64 |
| 227× | log1p-udef_binary64 |
| 131× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 30 |
| 1 | 243 | 30 |
| 2 | 3612 | 30 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 1 e (+.f64 a (+.f64 b (+.f64 c d)))) |
(+.f64 a (+.f64 b (+.f64 c d))) |
(+.f64 b (+.f64 c d)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 e (+.f64 a (+.f64 d (+.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 a (+.f64 d (+.f64 b c))) e)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 e a) (+.f64 d (+.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 e (+.f64 d (+.f64 b c))) a)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 e (+.f64 a b)) (+.f64 c d))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (+.f64 e a) (+.f64 d (+.f64 b c))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (+.f64 e a) (+.f64 d (+.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 e a) (+.f64 d (+.f64 b c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (+.f64 e a) (+.f64 d (+.f64 b c)))) (pow.f64 (cbrt.f64 (+.f64 (+.f64 e a) (+.f64 d (+.f64 b c)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 e a) (+.f64 d (+.f64 b c)))) 2) (cbrt.f64 (+.f64 (+.f64 e a) (+.f64 d (+.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (+.f64 e a) (+.f64 d (+.f64 b c)))) (sqrt.f64 (+.f64 (+.f64 e a) (+.f64 d (+.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 e 3) (pow.f64 (+.f64 a (+.f64 d (+.f64 b c))) 3)) (fma.f64 e e (-.f64 (pow.f64 (+.f64 a (+.f64 d (+.f64 b c))) 2) (*.f64 e (+.f64 a (+.f64 d (+.f64 b c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 e e) (pow.f64 (+.f64 a (+.f64 d (+.f64 b c))) 2)) (-.f64 e (+.f64 a (+.f64 d (+.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (+.f64 e a) (+.f64 d (+.f64 b c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (+.f64 e a) (+.f64 d (+.f64 b c))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (+.f64 e a) (+.f64 d (+.f64 b c)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (+.f64 e a) (+.f64 d (+.f64 b c)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (+.f64 e a) (+.f64 d (+.f64 b c))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (+.f64 e a) (+.f64 d (+.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 e a) (+.f64 d (+.f64 b c))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (+.f64 e a) (+.f64 d (+.f64 b c))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (+.f64 e a) (+.f64 d (+.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (+.f64 e a) (+.f64 d (+.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (+.f64 e a) (+.f64 d (+.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 e a) (+.f64 d (+.f64 b c)))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 a (+.f64 d (+.f64 b c))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 a a) (-.f64 a (+.f64 d (+.f64 b c)))) (/.f64 (pow.f64 (+.f64 d (+.f64 b c)) 2) (-.f64 a (+.f64 d (+.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 a (+.f64 d (+.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 a (+.f64 d (+.f64 b c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 a (+.f64 d (+.f64 b c)))) (pow.f64 (cbrt.f64 (+.f64 a (+.f64 d (+.f64 b c)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 a (+.f64 d (+.f64 b c)))) 2) (cbrt.f64 (+.f64 a (+.f64 d (+.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 a (+.f64 d (+.f64 b c)))) (sqrt.f64 (+.f64 a (+.f64 d (+.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 a 3) (pow.f64 (+.f64 d (+.f64 b c)) 3)) (/.f64 1 (fma.f64 (+.f64 d (+.f64 b c)) (-.f64 (+.f64 d (+.f64 b c)) a) (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 a a) (pow.f64 (+.f64 d (+.f64 b c)) 2)) (/.f64 1 (-.f64 a (+.f64 d (+.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (+.f64 d (+.f64 b c)) (-.f64 (+.f64 d (+.f64 b c)) a) (*.f64 a a)) (+.f64 (pow.f64 a 3) (pow.f64 (+.f64 d (+.f64 b c)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 a (+.f64 d (+.f64 b c))) (-.f64 (*.f64 a a) (pow.f64 (+.f64 d (+.f64 b c)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 a 3) (pow.f64 (+.f64 d (+.f64 b c)) 3)) (fma.f64 (+.f64 d (+.f64 b c)) (-.f64 (+.f64 d (+.f64 b c)) a) (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 a 3) (pow.f64 (+.f64 d (+.f64 b c)) 3)) (+.f64 (pow.f64 (+.f64 d (+.f64 b c)) 2) (-.f64 (*.f64 a a) (*.f64 a (+.f64 d (+.f64 b c))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 a a) (pow.f64 (+.f64 d (+.f64 b c)) 2)) (-.f64 a (+.f64 d (+.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 a 3) (pow.f64 (+.f64 d (+.f64 b c)) 3))) (neg.f64 (fma.f64 (+.f64 d (+.f64 b c)) (-.f64 (+.f64 d (+.f64 b c)) a) (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 a a) (pow.f64 (+.f64 d (+.f64 b c)) 2))) (neg.f64 (-.f64 a (+.f64 d (+.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 a b) 3) (pow.f64 (+.f64 c d) 3)) (fma.f64 (+.f64 a b) (+.f64 a b) (-.f64 (pow.f64 (+.f64 c d) 2) (*.f64 (+.f64 a b) (+.f64 c d)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 d (+.f64 b c)) 2) (*.f64 a a)) (-.f64 (+.f64 d (+.f64 b c)) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 a b) (+.f64 a b)) (pow.f64 (+.f64 c d) 2)) (-.f64 (+.f64 a b) (+.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 a (+.f64 d (+.f64 b c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 a (+.f64 d (+.f64 b c))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 a (+.f64 d (+.f64 b c)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 a (+.f64 d (+.f64 b c)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 a (+.f64 d (+.f64 b c))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 a (+.f64 d (+.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 a (+.f64 d (+.f64 b c))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 a (+.f64 d (+.f64 b c))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 a (+.f64 d (+.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 a (+.f64 d (+.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 b (+.f64 (+.f64 c d) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 c d) (+.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 d (+.f64 b c)) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 b c) (+.f64 d a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 a b) (+.f64 c d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a 1 (+.f64 d (+.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b 1 (+.f64 (+.f64 c d) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 c d) 1 (+.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 d (+.f64 b c)) 1 a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 c d)) (pow.f64 (cbrt.f64 (+.f64 c d)) 2) (+.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 c d)) 2) (cbrt.f64 (+.f64 c d)) (+.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 b) (pow.f64 (cbrt.f64 b) 2) (+.f64 (+.f64 c d) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (+.f64 (+.f64 c d) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 d (+.f64 b c))) (pow.f64 (cbrt.f64 (+.f64 d (+.f64 b c))) 2) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 d (+.f64 b c))) 2) (cbrt.f64 (+.f64 d (+.f64 b c))) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 a) (pow.f64 (cbrt.f64 a) 2) (+.f64 d (+.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (+.f64 d (+.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 c d)) (sqrt.f64 (+.f64 c d)) (+.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b) (sqrt.f64 b) (+.f64 (+.f64 c d) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 d (+.f64 b c))) (sqrt.f64 (+.f64 d (+.f64 b c))) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (sqrt.f64 a) (+.f64 d (+.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 b 3) (pow.f64 (+.f64 c d) 3)) (/.f64 1 (fma.f64 b b (*.f64 (+.f64 c d) (-.f64 (+.f64 c d) b)))) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 c 3) (pow.f64 d 3)) (/.f64 1 (fma.f64 d (-.f64 d c) (*.f64 c c))) (+.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 b b) (pow.f64 (+.f64 c d) 2)) (/.f64 1 (-.f64 b (+.f64 c d))) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 c c) (*.f64 d d)) (/.f64 1 (-.f64 c d)) (+.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 a b) 1 (+.f64 c d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (+.f64 b c)) (cbrt.f64 (+.f64 b c))) (cbrt.f64 (+.f64 b c)) (+.f64 d a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (+.f64 a b)) (cbrt.f64 (+.f64 a b))) (cbrt.f64 (+.f64 a b)) (+.f64 c d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 b c)) (sqrt.f64 (+.f64 b c)) (+.f64 d a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 a b)) (sqrt.f64 (+.f64 a b)) (+.f64 c d))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 a (+.f64 d (+.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 a (+.f64 d (+.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 a (+.f64 d (+.f64 b c)))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 d (+.f64 b c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 b b) (-.f64 b (+.f64 c d))) (/.f64 (pow.f64 (+.f64 c d) 2) (-.f64 b (+.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 d (+.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 d (+.f64 b c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 d (+.f64 b c))) (pow.f64 (cbrt.f64 (+.f64 d (+.f64 b c))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 d (+.f64 b c))) 2) (cbrt.f64 (+.f64 d (+.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 d (+.f64 b c))) (sqrt.f64 (+.f64 d (+.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 b 3) (pow.f64 (+.f64 c d) 3)) (/.f64 1 (fma.f64 b b (*.f64 (+.f64 c d) (-.f64 (+.f64 c d) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 b b) (pow.f64 (+.f64 c d) 2)) (/.f64 1 (-.f64 b (+.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 b b (*.f64 (+.f64 c d) (-.f64 (+.f64 c d) b))) (+.f64 (pow.f64 b 3) (pow.f64 (+.f64 c d) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 b (+.f64 c d)) (-.f64 (*.f64 b b) (pow.f64 (+.f64 c d) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 b 3) (pow.f64 (+.f64 c d) 3)) (fma.f64 b b (*.f64 (+.f64 c d) (-.f64 (+.f64 c d) b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 b 3) (pow.f64 (+.f64 c d) 3)) (+.f64 (pow.f64 (+.f64 c d) 2) (-.f64 (*.f64 b b) (*.f64 b (+.f64 c d)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 b b) (pow.f64 (+.f64 c d) 2)) (-.f64 b (+.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 b 3) (pow.f64 (+.f64 c d) 3))) (neg.f64 (fma.f64 b b (*.f64 (+.f64 c d) (-.f64 (+.f64 c d) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 b b) (pow.f64 (+.f64 c d) 2))) (neg.f64 (-.f64 b (+.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 b c) 3) (pow.f64 d 3)) (fma.f64 (+.f64 b c) (+.f64 b c) (-.f64 (*.f64 d d) (*.f64 (+.f64 b c) d))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 c d) 2) (*.f64 b b)) (-.f64 (+.f64 c d) b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 b c) (+.f64 b c)) (*.f64 d d)) (-.f64 (+.f64 b c) d))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 d (+.f64 b c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 d (+.f64 b c))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 d (+.f64 b c))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 d (+.f64 b c)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 d (+.f64 b c)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 d (+.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 d (+.f64 b c)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 d (+.f64 b c)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 d (+.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 b (+.f64 c d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 c (+.f64 d b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 d (+.f64 b c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 c d) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 b c) d)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b 1 (+.f64 c d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 c 1 (+.f64 d b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 d 1 (+.f64 b c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 c d) 1 b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 c d)) (pow.f64 (cbrt.f64 (+.f64 c d)) 2) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 c d)) 2) (cbrt.f64 (+.f64 c d)) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 b) (pow.f64 (cbrt.f64 b) 2) (+.f64 c d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (+.f64 c d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 c) (pow.f64 (cbrt.f64 c) 2) (+.f64 d b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 c) 2) (cbrt.f64 c) (+.f64 d b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 d) (pow.f64 (cbrt.f64 d) 2) (+.f64 b c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 d) 2) (cbrt.f64 d) (+.f64 b c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 c d)) (sqrt.f64 (+.f64 c d)) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b) (sqrt.f64 b) (+.f64 c d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 c) (sqrt.f64 c) (+.f64 d b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 d) (sqrt.f64 d) (+.f64 b c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 c 3) (pow.f64 d 3)) (/.f64 1 (fma.f64 d (-.f64 d c) (*.f64 c c))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 c c) (*.f64 d d)) (/.f64 1 (-.f64 c d)) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 b c) 1 d)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (+.f64 b c)) (cbrt.f64 (+.f64 b c))) (cbrt.f64 (+.f64 b c)) d)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 b c)) (sqrt.f64 (+.f64 b c)) d)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 d (+.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 d (+.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 d (+.f64 b c))) 1)))))) |
| 1× | egg-herbie |
| 120× | associate-+l+_binary64 |
| 54× | associate-+r+_binary64 |
| 33× | +-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 1248 |
| 1 | 60 | 1248 |
| 2 | 137 | 1248 |
| 3 | 240 | 1248 |
| 4 | 246 | 1248 |
| 1× | saturated |
| Inputs |
|---|
(+.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 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 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 (+.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 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 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 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 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 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 d) |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
b |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
b |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
(+.f64 d b) |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
c |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
c |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
(+.f64 c b) |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
d |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
d |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
| Outputs |
|---|
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 (+.f64 c (+.f64 a b)) d) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 b (+.f64 d (+.f64 c e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 b (+.f64 d (+.f64 c e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 b (+.f64 d (+.f64 c e)))) |
e |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 b (+.f64 d (+.f64 c e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 b (+.f64 d (+.f64 c e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 b (+.f64 d (+.f64 c e)))) |
e |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 b (+.f64 d (+.f64 c e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 b (+.f64 d (+.f64 c e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 b (+.f64 d (+.f64 c e)))) |
(+.f64 c (+.f64 d (+.f64 b e))) |
(+.f64 b (+.f64 d (+.f64 c e))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 b (+.f64 d (+.f64 c e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 b (+.f64 d (+.f64 c e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 b (+.f64 d (+.f64 c e)))) |
a |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 b (+.f64 d (+.f64 c e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 b (+.f64 d (+.f64 c e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 b (+.f64 d (+.f64 c e)))) |
a |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 b (+.f64 d (+.f64 c e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 b (+.f64 d (+.f64 c e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 b (+.f64 d (+.f64 c e)))) |
(+.f64 c (+.f64 a (+.f64 d e))) |
(+.f64 a (+.f64 (+.f64 d e) c)) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 b (+.f64 d (+.f64 c e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 b (+.f64 d (+.f64 c e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 b (+.f64 d (+.f64 c e)))) |
b |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 b (+.f64 d (+.f64 c e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 b (+.f64 d (+.f64 c e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 b (+.f64 d (+.f64 c e)))) |
b |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 b (+.f64 d (+.f64 c e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 b (+.f64 d (+.f64 c e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 b (+.f64 d (+.f64 c e)))) |
(+.f64 a (+.f64 d (+.f64 b e))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 b (+.f64 d (+.f64 c e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 b (+.f64 d (+.f64 c e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 b (+.f64 d (+.f64 c e)))) |
c |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 b (+.f64 d (+.f64 c e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 b (+.f64 d (+.f64 c e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 b (+.f64 d (+.f64 c e)))) |
c |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 b (+.f64 d (+.f64 c e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 b (+.f64 d (+.f64 c e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 b (+.f64 d (+.f64 c e)))) |
(+.f64 c (+.f64 a (+.f64 b e))) |
(+.f64 (+.f64 a b) (+.f64 e c)) |
(+.f64 b (+.f64 c (+.f64 a e))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 b (+.f64 d (+.f64 c e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 b (+.f64 d (+.f64 c e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 b (+.f64 d (+.f64 c e)))) |
d |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 b (+.f64 d (+.f64 c e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 b (+.f64 d (+.f64 c e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 b (+.f64 d (+.f64 c e)))) |
d |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 b (+.f64 d (+.f64 c e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 b (+.f64 d (+.f64 c e)))) |
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) |
(+.f64 a (+.f64 b (+.f64 d (+.f64 c e)))) |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 (+.f64 c (+.f64 a b)) d) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 (+.f64 c (+.f64 a b)) d) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 (+.f64 c (+.f64 a b)) d) |
a |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 (+.f64 c (+.f64 a b)) d) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 (+.f64 c (+.f64 a b)) d) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 (+.f64 c (+.f64 a b)) d) |
a |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 (+.f64 c (+.f64 a b)) d) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 (+.f64 c (+.f64 a b)) d) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 (+.f64 c (+.f64 a b)) d) |
(+.f64 c (+.f64 a d)) |
(+.f64 d (+.f64 c a)) |
(+.f64 a (+.f64 c d)) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 (+.f64 c (+.f64 a b)) d) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 (+.f64 c (+.f64 a b)) d) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 (+.f64 c (+.f64 a b)) d) |
b |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 (+.f64 c (+.f64 a b)) d) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 (+.f64 c (+.f64 a b)) d) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 (+.f64 c (+.f64 a b)) d) |
b |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 (+.f64 c (+.f64 a b)) d) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 (+.f64 c (+.f64 a b)) d) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 (+.f64 c (+.f64 a b)) d) |
(+.f64 a (+.f64 d b)) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 (+.f64 c (+.f64 a b)) d) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 (+.f64 c (+.f64 a b)) d) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 (+.f64 c (+.f64 a b)) d) |
c |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 (+.f64 c (+.f64 a b)) d) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 (+.f64 c (+.f64 a b)) d) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 (+.f64 c (+.f64 a b)) d) |
c |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 (+.f64 c (+.f64 a b)) d) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 (+.f64 c (+.f64 a b)) d) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 (+.f64 c (+.f64 a b)) d) |
(+.f64 c (+.f64 a b)) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 (+.f64 c (+.f64 a b)) d) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 (+.f64 c (+.f64 a b)) d) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 (+.f64 c (+.f64 a b)) d) |
d |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 (+.f64 c (+.f64 a b)) d) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 (+.f64 c (+.f64 a b)) d) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 (+.f64 c (+.f64 a b)) d) |
d |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 (+.f64 c (+.f64 a b)) d) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 (+.f64 c (+.f64 a b)) d) |
(+.f64 c (+.f64 a (+.f64 d b))) |
(+.f64 (+.f64 c (+.f64 a b)) d) |
(+.f64 c d) |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
b |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
b |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
(+.f64 d b) |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
c |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
c |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
(+.f64 c b) |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
d |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
d |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
(+.f64 c (+.f64 d b)) |
5 alts after pruning (2 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 168 | 0 | 168 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 168 | 5 | 173 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.3b | (fma.f64 (sqrt.f64 e) (sqrt.f64 e) (+.f64 a (+.f64 (+.f64 d b) c))) |
| 0.3b | (+.f64 c (+.f64 a (+.f64 d (+.f64 b e)))) | |
| ✓ | 0.2b | (fma.f64 1 e (+.f64 a (+.f64 b (+.f64 c d)))) |
| ✓ | 0.2b | (+.f64 (+.f64 e a) (+.f64 d (+.f64 b c))) |
| 0.4b | (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) |
Compiled 2620 to 908 computations (65.3% saved)
Total -0.5b remaining (-218.6%)
Threshold costs -0.5b (-218.6%)
Compiled 666 to 213 computations (68% saved)
| 1× | egg-herbie |
| 4× | +-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 13 |
| 1 | 14 | 13 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (+.f64 e a) (+.f64 d (+.f64 b c))) |
| Outputs |
|---|
(+.f64 (+.f64 e a) (+.f64 d (+.f64 b c))) |
| 1× | fuel |
(sort a b c d e)
Compiled 105 to 54 computations (48.6% saved)
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