Time bar (total: 1.4s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 0 |
| 100% | 0% | 0% | 100% | 0% | 0% | 0% | 1 |
Compiled 42 to 30 computations (28.6% saved)
| 1.2s | 8256× | body | 256 | valid |
| 2× | egg-herbie |
| 192× | fma-def |
| 88× | distribute-lft-in |
| 80× | +-commutative |
| 50× | *-commutative |
| 38× | distribute-rgt-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 133 |
| 1 | 81 | 133 |
| 2 | 154 | 133 |
| 3 | 244 | 133 |
| 4 | 290 | 133 |
| 0 | 4 | 4 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
1 |
2 |
3 |
| Outputs |
|---|
0 |
1 |
2 |
3 |
| Inputs |
|---|
(*.f64 a (+.f64 (+.f64 b c) d)) |
(*.f64 b (+.f64 (+.f64 a c) d)) |
(*.f64 c (+.f64 (+.f64 b a) d)) |
(*.f64 d (+.f64 (+.f64 b c) a)) |
(*.f64 a (+.f64 (+.f64 c b) d)) |
(*.f64 a (+.f64 (+.f64 d c) b)) |
(*.f64 a (+.f64 (+.f64 b d) c)) |
| Outputs |
|---|
(*.f64 a (+.f64 (+.f64 b c) d)) |
(*.f64 a (+.f64 b (+.f64 c d))) |
(*.f64 b (+.f64 (+.f64 a c) d)) |
(*.f64 b (+.f64 d (+.f64 a c))) |
(*.f64 b (+.f64 a (+.f64 c d))) |
(*.f64 c (+.f64 (+.f64 b a) d)) |
(*.f64 c (+.f64 b (+.f64 a d))) |
(*.f64 d (+.f64 (+.f64 b c) a)) |
(*.f64 d (+.f64 a (+.f64 b c))) |
(*.f64 a (+.f64 (+.f64 c b) d)) |
(*.f64 a (+.f64 b (+.f64 c d))) |
(*.f64 a (+.f64 (+.f64 b c) d)) |
(*.f64 a (+.f64 (+.f64 d c) b)) |
(*.f64 a (+.f64 b (+.f64 c d))) |
(*.f64 a (+.f64 (+.f64 b c) d)) |
(*.f64 a (+.f64 (+.f64 b d) c)) |
(*.f64 a (+.f64 b (+.f64 c d))) |
(*.f64 a (+.f64 (+.f64 b c) d)) |
Compiled 15 to 11 computations (26.7% saved)
| 1× | egg-herbie |
| 48× | fma-def |
| 24× | +-commutative |
| 18× | distribute-lft-in |
| 14× | *-commutative |
| 12× | distribute-rgt-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 19 |
| 1 | 20 | 19 |
| 2 | 43 | 19 |
| 3 | 68 | 19 |
| 4 | 83 | 19 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 a (+.f64 (+.f64 b c) d)) |
| Outputs |
|---|
(*.f64 a (+.f64 (+.f64 b c) d)) |
(*.f64 a (+.f64 c (+.f64 b d))) |
Compiled 18 to 10 computations (44.4% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 1 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 1 | 2 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 99.9% | (*.f64 a (+.f64 (+.f64 b c) d)) |
Compiled 11 to 7 computations (36.4% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 99.9% | (*.f64 a (+.f64 (+.f64 b c) d)) |
Compiled 23 to 7 computations (69.6% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | b | @ | -inf | (*.f64 a (+.f64 (+.f64 b c) d)) |
| 0.0ms | a | @ | -inf | (*.f64 a (+.f64 (+.f64 b c) d)) |
| 0.0ms | a | @ | inf | (*.f64 a (+.f64 (+.f64 b c) d)) |
| 0.0ms | a | @ | 0 | (*.f64 a (+.f64 (+.f64 b c) d)) |
| 0.0ms | b | @ | inf | (*.f64 a (+.f64 (+.f64 b c) d)) |
| 1× | batch-egg-rewrite |
| 1230× | associate-*r/ |
| 1100× | *-commutative |
| 1044× | associate-*l/ |
| 1024× | distribute-lft-in |
| 278× | associate-+l+ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 19 |
| 1 | 205 | 19 |
| 2 | 3041 | 19 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 a (+.f64 (+.f64 b c) d)) |
| Outputs |
|---|
((((x +.f64 (*.f64 a d) (*.f64 a (+.f64 b c))))) (((x +.f64 (*.f64 a (+.f64 b c)) (*.f64 a d)))) (((x +.f64 (*.f64 a (+.f64 c d)) (*.f64 a b)))) (((x +.f64 (*.f64 a b) (*.f64 a (+.f64 c d))))) (((x +.f64 (*.f64 a c) (+.f64 (*.f64 a b) (*.f64 a d))))) (((x +.f64 (*.f64 a c) (*.f64 a (+.f64 b d))))) (((x +.f64 (+.f64 (*.f64 a d) (*.f64 a b)) (*.f64 a c)))) (((x +.f64 (*.f64 a (+.f64 b d)) (*.f64 a c)))) (((x +.f64 (*.f64 1 (*.f64 a b)) (*.f64 1 (*.f64 a (+.f64 c d)))))) (((x -.f64 (exp.f64 (log1p.f64 (*.f64 a (+.f64 b (+.f64 c d))))) 1))) (((x /.f64 a (/.f64 1 (+.f64 b (+.f64 c d)))))) (((x /.f64 (-.f64 (pow.f64 (+.f64 b c) 2) (*.f64 d d)) (/.f64 (-.f64 (+.f64 b c) d) a)))) (((x /.f64 (+.f64 (pow.f64 (+.f64 b c) 3) (pow.f64 d 3)) (/.f64 (+.f64 (pow.f64 (+.f64 b c) 2) (*.f64 d (-.f64 d (+.f64 b c)))) a)))) (((x /.f64 (*.f64 a (-.f64 (pow.f64 (+.f64 b c) 2) (*.f64 d d))) (-.f64 (+.f64 b c) d)))) (((x /.f64 (*.f64 a (+.f64 (pow.f64 (+.f64 b c) 3) (pow.f64 d 3))) (+.f64 (pow.f64 (+.f64 b c) 2) (*.f64 d (-.f64 d (+.f64 b c))))))) (((x /.f64 (-.f64 (*.f64 (*.f64 a (+.f64 b c)) (*.f64 a (+.f64 b c))) (*.f64 (*.f64 a d) (*.f64 a d))) (-.f64 (*.f64 a (+.f64 b c)) (*.f64 a d))))) (((x /.f64 (+.f64 (pow.f64 (*.f64 a (+.f64 b c)) 3) (pow.f64 (*.f64 a d) 3)) (+.f64 (*.f64 (*.f64 a (+.f64 b c)) (*.f64 a (+.f64 b c))) (-.f64 (*.f64 (*.f64 a d) (*.f64 a d)) (*.f64 (*.f64 a d) (*.f64 a (+.f64 b c)))))))) (((x /.f64 (*.f64 a (-.f64 (*.f64 b b) (*.f64 (+.f64 c d) (+.f64 c d)))) (-.f64 b (+.f64 c d))))) (((x /.f64 (*.f64 a (-.f64 (*.f64 d d) (pow.f64 (+.f64 b c) 2))) (-.f64 d (+.f64 b c))))) (((x /.f64 (*.f64 a (+.f64 (pow.f64 b 3) (pow.f64 (+.f64 c d) 3))) (-.f64 (+.f64 (*.f64 b b) (*.f64 (+.f64 c d) (+.f64 c d))) (*.f64 b (+.f64 c d)))))) (((x /.f64 (*.f64 a (neg.f64 (-.f64 (pow.f64 (+.f64 b c) 2) (*.f64 d d)))) (neg.f64 (-.f64 (+.f64 b c) d))))) (((x /.f64 (*.f64 a (neg.f64 (+.f64 (pow.f64 (+.f64 b c) 3) (pow.f64 d 3)))) (neg.f64 (+.f64 (pow.f64 (+.f64 b c) 2) (*.f64 d (-.f64 d (+.f64 b c)))))))) (((x /.f64 (*.f64 1 (*.f64 a (-.f64 (pow.f64 (+.f64 b c) 2) (*.f64 d d)))) (-.f64 (+.f64 b c) d)))) (((x /.f64 (*.f64 1 (*.f64 a (+.f64 (pow.f64 (+.f64 b c) 3) (pow.f64 d 3)))) (+.f64 (pow.f64 (+.f64 b c) 2) (*.f64 d (-.f64 d (+.f64 b c))))))) (((x /.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 a (+.f64 b c)) (*.f64 a (+.f64 b c))) (*.f64 (*.f64 a d) (*.f64 a d)))) (-.f64 (*.f64 a (+.f64 b c)) (*.f64 a d))))) (((x /.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 a (+.f64 b c)) 3) (pow.f64 (*.f64 a d) 3))) (+.f64 (*.f64 (*.f64 a (+.f64 b c)) (*.f64 a (+.f64 b c))) (-.f64 (*.f64 (*.f64 a d) (*.f64 a d)) (*.f64 (*.f64 a d) (*.f64 a (+.f64 b c)))))))) (((x /.f64 (*.f64 (*.f64 a (sqrt.f64 (+.f64 b (+.f64 c d)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 b c) 3) (pow.f64 d 3)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 b c) 2) (*.f64 d (-.f64 d (+.f64 b c)))))))) (((x /.f64 (*.f64 (*.f64 a (sqrt.f64 (+.f64 b (+.f64 c d)))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 b c) 2) (*.f64 d d)))) (sqrt.f64 (-.f64 (+.f64 b c) d))))) (((x /.f64 (*.f64 (*.f64 a (pow.f64 (cbrt.f64 (+.f64 b (+.f64 c d))) 2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 b c) 3) (pow.f64 d 3)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 b c) 2) (*.f64 d (-.f64 d (+.f64 b c)))))))) (((x /.f64 (*.f64 (*.f64 a (pow.f64 (cbrt.f64 (+.f64 b (+.f64 c d))) 2)) (cbrt.f64 (-.f64 (pow.f64 (+.f64 b c) 2) (*.f64 d d)))) (cbrt.f64 (-.f64 (+.f64 b c) d))))) (((x /.f64 (*.f64 (-.f64 (*.f64 b b) (*.f64 (+.f64 c d) (+.f64 c d))) a) (-.f64 b (+.f64 c d))))) (((x /.f64 (*.f64 (-.f64 (*.f64 d d) (pow.f64 (+.f64 b c) 2)) a) (-.f64 d (+.f64 b c))))) (((x /.f64 (*.f64 (+.f64 (pow.f64 b 3) (pow.f64 (+.f64 c d) 3)) a) (-.f64 (+.f64 (*.f64 b b) (*.f64 (+.f64 c d) (+.f64 c d))) (*.f64 b (+.f64 c d)))))) (((x /.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 b c) 2) (*.f64 d d))) a) (neg.f64 (-.f64 (+.f64 b c) d))))) (((x /.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 b c) 3) (pow.f64 d 3))) a) (neg.f64 (+.f64 (pow.f64 (+.f64 b c) 2) (*.f64 d (-.f64 d (+.f64 b c)))))))) (((x /.f64 (*.f64 (*.f64 a (-.f64 (pow.f64 (+.f64 b c) 2) (*.f64 d d))) 1) (-.f64 (+.f64 b c) d)))) (((x /.f64 (*.f64 (*.f64 a (+.f64 (pow.f64 (+.f64 b c) 3) (pow.f64 d 3))) 1) (+.f64 (pow.f64 (+.f64 b c) 2) (*.f64 d (-.f64 d (+.f64 b c))))))) (((x /.f64 (*.f64 (-.f64 (*.f64 (*.f64 a (+.f64 b c)) (*.f64 a (+.f64 b c))) (*.f64 (*.f64 a d) (*.f64 a d))) 1) (-.f64 (*.f64 a (+.f64 b c)) (*.f64 a d))))) (((x /.f64 (*.f64 (+.f64 (pow.f64 (*.f64 a (+.f64 b c)) 3) (pow.f64 (*.f64 a d) 3)) 1) (+.f64 (*.f64 (*.f64 a (+.f64 b c)) (*.f64 a (+.f64 b c))) (-.f64 (*.f64 (*.f64 a d) (*.f64 a d)) (*.f64 (*.f64 a d) (*.f64 a (+.f64 b c)))))))) (((x /.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 b c) 3) (pow.f64 d 3))) (*.f64 a (sqrt.f64 (+.f64 b (+.f64 c d))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 b c) 2) (*.f64 d (-.f64 d (+.f64 b c)))))))) (((x /.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 b c) 2) (*.f64 d d))) (*.f64 a (sqrt.f64 (+.f64 b (+.f64 c d))))) (sqrt.f64 (-.f64 (+.f64 b c) d))))) (((x /.f64 (/.f64 (*.f64 a (-.f64 (pow.f64 (+.f64 b c) 2) (*.f64 d d))) 1) (-.f64 (+.f64 b c) d)))) (((x /.f64 (/.f64 (*.f64 a (-.f64 (pow.f64 (+.f64 b c) 2) (*.f64 d d))) (sqrt.f64 (-.f64 (+.f64 b c) d))) (sqrt.f64 (-.f64 (+.f64 b c) d))))) (((x /.f64 (/.f64 (*.f64 a (-.f64 (pow.f64 (+.f64 b c) 2) (*.f64 d d))) (*.f64 (cbrt.f64 (-.f64 (+.f64 b c) d)) (cbrt.f64 (-.f64 (+.f64 b c) d)))) (cbrt.f64 (-.f64 (+.f64 b c) d))))) (((x /.f64 (/.f64 (*.f64 a (-.f64 (pow.f64 (+.f64 b c) 2) (*.f64 d d))) (+.f64 (sqrt.f64 (+.f64 b c)) (sqrt.f64 d))) (-.f64 (sqrt.f64 (+.f64 b c)) (sqrt.f64 d))))) (((x /.f64 (/.f64 (*.f64 a (+.f64 (pow.f64 (+.f64 b c) 3) (pow.f64 d 3))) 1) (+.f64 (pow.f64 (+.f64 b c) 2) (*.f64 d (-.f64 d (+.f64 b c))))))) (((x /.f64 (/.f64 (*.f64 a (+.f64 (pow.f64 (+.f64 b c) 3) (pow.f64 d 3))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 b c) 2) (*.f64 d (-.f64 d (+.f64 b c)))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 b c) 2) (*.f64 d (-.f64 d (+.f64 b c)))))))) (((x /.f64 (/.f64 (*.f64 a (+.f64 (pow.f64 (+.f64 b c) 3) (pow.f64 d 3))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 b c) 2) (*.f64 d (-.f64 d (+.f64 b c))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 b c) 2) (*.f64 d (-.f64 d (+.f64 b c))))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 b c) 2) (*.f64 d (-.f64 d (+.f64 b c)))))))) (((x pow.f64 (*.f64 a (+.f64 b (+.f64 c d))) 1))) (((x pow.f64 (sqrt.f64 (*.f64 a (+.f64 b (+.f64 c d)))) 2))) (((x pow.f64 (cbrt.f64 (*.f64 a (+.f64 b (+.f64 c d)))) 3))) (((x pow.f64 (pow.f64 (*.f64 a (+.f64 b (+.f64 c d))) 3) 1/3))) (((x sqrt.f64 (pow.f64 (*.f64 a (+.f64 b (+.f64 c d))) 2)))) (((x log.f64 (pow.f64 (exp.f64 a) (+.f64 b (+.f64 c d)))))) (((x log.f64 (+.f64 1 (expm1.f64 (*.f64 a (+.f64 b (+.f64 c d)))))))) (((x cbrt.f64 (pow.f64 (*.f64 a (+.f64 b (+.f64 c d))) 3)))) (((x cbrt.f64 (*.f64 (pow.f64 (+.f64 b (+.f64 c d)) 3) (pow.f64 a 3))))) (((x expm1.f64 (log1p.f64 (*.f64 a (+.f64 b (+.f64 c d))))))) (((x exp.f64 (log.f64 (*.f64 a (+.f64 b (+.f64 c d))))))) (((x log1p.f64 (expm1.f64 (*.f64 a (+.f64 b (+.f64 c d))))))) (((x fma.f64 a (+.f64 b c) (*.f64 a d)))) (((x fma.f64 (+.f64 b c) a (*.f64 a d))))) |
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