Time bar (total: 1.7s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.9% | 0.1% | 0 |
| 0% | 99.9% | 0.1% | 1 |
| 0% | 99.9% | 0.1% | 2 |
| 0% | 99.9% | 0.1% | 3 |
| 0% | 99.9% | 0.1% | 4 |
| 0% | 99.9% | 0.1% | 5 |
| 0% | 99.9% | 0.1% | 6 |
| 12.5% | 87.4% | 0.1% | 7 |
| 18.7% | 81.1% | 0.1% | 8 |
| 28.1% | 71.8% | 0.1% | 9 |
| 42.1% | 57.7% | 0.1% | 10 |
| 49.1% | 50.7% | 0.1% | 11 |
| 57.3% | 42.5% | 0.1% | 12 |
| 66.9% | 33% | 0.1% | 13 |
| 71.7% | 28.2% | 0.1% | 14 |
Compiled 15 to 9 computations (40% saved)
| 796.0ms | 7709× | body | 128 | valid |
| 80.0ms | 191× | body | 1024 | valid |
| 38.0ms | 164× | body | 512 | valid |
| 32.0ms | 86× | body | 2048 | valid |
| 19.0ms | 106× | body | 256 | valid |
| 1.0ms | 11× | body | 128 | invalid |
| 2× | egg-herbie |
| 319× | associate-+l+_binary64 |
| 158× | fma-def_binary64 |
| 151× | associate-+r+_binary64 |
| 25× | +-commutative_binary64 |
| 9× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 64 |
| 1 | 73 | 52 |
| 2 | 204 | 44 |
| 3 | 532 | 44 |
| 4 | 731 | 36 |
| 5 | 765 | 36 |
| 6 | 782 | 36 |
| 7 | 782 | 36 |
| 0 | 3 | 3 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
1 |
2 |
| Outputs |
|---|
0 |
1 |
2 |
| Inputs |
|---|
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) |
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 y x) x) y) z) y) |
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 z y) y) z) x) z) |
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x z) z) x) y) x) |
| Outputs |
|---|
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) |
(+.f64 (+.f64 x (+.f64 x (+.f64 y y))) (+.f64 x z)) |
(+.f64 x (+.f64 (*.f64 2 (+.f64 x y)) z)) |
(+.f64 x (fma.f64 2 (+.f64 x y) z)) |
(+.f64 x (fma.f64 (+.f64 x y) 2 z)) |
(fma.f64 3 x (fma.f64 y 2 z)) |
(fma.f64 x 3 (fma.f64 y 2 z)) |
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 y x) x) y) z) y) |
(+.f64 y (+.f64 (+.f64 x (+.f64 y y)) (+.f64 x z))) |
(+.f64 y (+.f64 (*.f64 2 (+.f64 x y)) z)) |
(+.f64 y (fma.f64 2 (+.f64 x y) z)) |
(+.f64 y (fma.f64 (+.f64 x y) 2 z)) |
(fma.f64 x 2 (fma.f64 3 y z)) |
(fma.f64 x 2 (fma.f64 y 3 z)) |
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 z y) y) z) x) z) |
(+.f64 z (+.f64 x (+.f64 z (+.f64 y (+.f64 y z))))) |
(+.f64 x (+.f64 (*.f64 2 (+.f64 y z)) z)) |
(fma.f64 2 (+.f64 y z) (+.f64 x z)) |
(+.f64 (fma.f64 y 2 x) (*.f64 3 z)) |
(fma.f64 y 2 (fma.f64 3 z x)) |
(fma.f64 y 2 (fma.f64 z 3 x)) |
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x z) z) x) y) x) |
(+.f64 x (+.f64 y (+.f64 x (+.f64 x (+.f64 z z))))) |
(+.f64 x (+.f64 y (*.f64 2 (+.f64 x z)))) |
(+.f64 y (fma.f64 2 (+.f64 x z) x)) |
(+.f64 y (fma.f64 (+.f64 x z) 2 x)) |
(fma.f64 3 x (fma.f64 z 2 y)) |
(fma.f64 x 3 (fma.f64 z 2 y)) |
Compiled 14 to 8 computations (42.9% saved)
| 1× | egg-herbie |
| 123× | associate-+l+_binary64 |
| 62× | associate-+r+_binary64 |
| 54× | fma-def_binary64 |
| 15× | +-commutative_binary64 |
| 4× | *-commutative_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 16 |
| 1 | 22 | 13 |
| 2 | 67 | 11 |
| 3 | 181 | 11 |
| 4 | 292 | 9 |
| 5 | 320 | 9 |
| 6 | 326 | 9 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) |
| Outputs |
|---|
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) |
(+.f64 x (+.f64 (+.f64 x (+.f64 y y)) (+.f64 x z))) |
(+.f64 (*.f64 2 (+.f64 x y)) (+.f64 x z)) |
(+.f64 x (fma.f64 2 (+.f64 x y) z)) |
(+.f64 x (fma.f64 (+.f64 x y) 2 z)) |
(fma.f64 y 2 (fma.f64 3 x z)) |
(fma.f64 x 3 (fma.f64 y 2 z)) |
Compiled 21 to 12 computations (42.9% saved)
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 1 | 2 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 2 | 1 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0b | (fma.f64 x 3 (fma.f64 y 2 z)) |
Compiled 20 to 14 computations (30% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (fma.f64 x 3 (fma.f64 y 2 z)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (fma.f64 x 3 (fma.f64 y 2 z)) |
| 1.0ms | x | @ | -inf | (fma.f64 x 3 (fma.f64 y 2 z)) |
| 1.0ms | z | @ | inf | (fma.f64 x 3 (fma.f64 y 2 z)) |
| 1.0ms | y | @ | 0 | (fma.f64 x 3 (fma.f64 y 2 z)) |
| 0.0ms | x | @ | inf | (fma.f64 x 3 (fma.f64 y 2 z)) |
| 1× | batch-egg-rewrite |
| 713× | pow1_binary64 |
| 656× | add-log-exp_binary64 |
| 655× | log1p-expm1-u_binary64 |
| 655× | expm1-log1p-u_binary64 |
| 80× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 9 |
| 1 | 161 | 9 |
| 2 | 1761 | 9 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 x 3 (fma.f64 y 2 z)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 y 2 z) (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 3) (fma.f64 y 2 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 3) 1) (fma.f64 y 2 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 x 3) (*.f64 y 2)) z)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x 3 (fma.f64 y 2 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 3 (fma.f64 y 2 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 3 (fma.f64 y 2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 3 (fma.f64 y 2 z))) (pow.f64 (cbrt.f64 (fma.f64 x 3 (fma.f64 y 2 z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 3 (fma.f64 y 2 z))) 2) (cbrt.f64 (fma.f64 x 3 (fma.f64 y 2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 3 (fma.f64 y 2 z))) (sqrt.f64 (fma.f64 x 3 (fma.f64 y 2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x 3) 3) (pow.f64 (fma.f64 y 2 z) 3)) (+.f64 (*.f64 (*.f64 x 3) (*.f64 x 3)) (-.f64 (pow.f64 (fma.f64 y 2 z) 2) (*.f64 (*.f64 x 3) (fma.f64 y 2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x 3) (*.f64 x 3)) (pow.f64 (fma.f64 y 2 z) 2)) (-.f64 (*.f64 x 3) (fma.f64 y 2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 3 (fma.f64 y 2 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 3 (fma.f64 y 2 z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 3 (fma.f64 y 2 z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 3 (fma.f64 y 2 z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 3 (fma.f64 y 2 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 3 (fma.f64 y 2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 3 (fma.f64 y 2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 3 (fma.f64 y 2 z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 3 (fma.f64 y 2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 3 (fma.f64 y 2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 3 (fma.f64 y 2 z)))))))) |
| 1× | egg-herbie |
| 12× | fma-def_binary64 |
| 4× | +-commutative_binary64 |
| 2× | *-commutative_binary64 |
| 2× | associate-+r+_binary64 |
| 2× | associate-+l+_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 279 |
| 1 | 23 | 279 |
| 2 | 32 | 279 |
| 3 | 34 | 279 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (*.f64 2 y) z) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(*.f64 3 x) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(*.f64 3 x) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(+.f64 (*.f64 3 x) z) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(*.f64 2 y) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(*.f64 2 y) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
z |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
z |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
| Outputs |
|---|
(+.f64 (*.f64 2 y) z) |
(fma.f64 2 y z) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 3 x z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 3 x z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 3 x z)) |
(*.f64 3 x) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 3 x z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 3 x z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 3 x z)) |
(*.f64 3 x) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 3 x z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 3 x z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 3 x z)) |
(+.f64 (*.f64 3 x) z) |
(fma.f64 3 x z) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 3 x z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 3 x z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 3 x z)) |
(*.f64 2 y) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 3 x z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 3 x z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 3 x z)) |
(*.f64 2 y) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 3 x z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 3 x z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 3 x z)) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(fma.f64 3 x (*.f64 2 y)) |
(fma.f64 2 y (*.f64 3 x)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 3 x z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 3 x z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 3 x z)) |
z |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 3 x z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 3 x z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 3 x z)) |
z |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 3 x z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 3 x z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 3 x z)) |
Compiled 342 to 232 computations (32.2% saved)
1 alts after pruning (0 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 34 | 0 | 34 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 34 | 1 | 35 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0b | (fma.f64 x 3 (fma.f64 y 2 z)) |
Compiled 10 to 7 computations (30% saved)
Total -0.0b remaining (-∞%)
Threshold costs -0.0b (-∞%)
| Inputs |
|---|
(fma.f64 x 3 (fma.f64 y 2 z)) |
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) |
| Outputs |
|---|
(fma.f64 x 3 (fma.f64 y 2 z)) |
| Time | Error | Segments | Branch |
| 3.0ms | 0b | 1 | x |
| 3.0ms | 0b | 1 | y |
| 4.0ms | 0b | 1 | z |
| 3.0ms | 0b | 1 | (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) |
Compiled 47 to 29 computations (38.3% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 9 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 x 3 (fma.f64 y 2 z)) |
| Outputs |
|---|
(fma.f64 x 3 (fma.f64 y 2 z)) |
| 1× | done |
Compiled 20 to 14 computations (30% saved)
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