Time bar (total: 1.1s)
| 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 |
| 25% | 74.9% | 0.1% | 5 |
| 37.5% | 62.4% | 0.1% | 6 |
| 50% | 48.4% | 1.7% | 7 |
| 59.3% | 35.9% | 4.8% | 8 |
| 67.1% | 25% | 7.9% | 9 |
| 72.6% | 18.3% | 9.1% | 10 |
| 76.9% | 12.5% | 10.6% | 11 |
| 79.8% | 9.3% | 10.9% | 12 |
| 82% | 6.2% | 11.7% | 13 |
| 83.6% | 4.7% | 11.8% | 14 |
Compiled 10 to 6 computations (40% saved)
| 713.0ms | 8253× | body | 128 | valid |
| 6.0ms | 70× | body | 128 | invalid |
| 1.0ms | 3× | body | 1024 | valid |
Compiled 20 to 12 computations (40% saved)
| 2× | egg-herbie |
| 50× | fma-def_binary64 |
| 7× | +-commutative_binary64 |
| 5× | *-commutative_binary64 |
| 5× | associate-*l*_binary64 |
| 4× | distribute-lft-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 16 |
| 1 | 21 | 16 |
| 2 | 34 | 16 |
| 3 | 42 | 16 |
| 4 | 56 | 16 |
| 5 | 68 | 16 |
| 6 | 94 | 16 |
| 7 | 109 | 16 |
| 8 | 111 | 16 |
| 0 | 2 | 2 |
| 1 | 2 | 2 |
| 1× | unsound |
| 1× | saturated |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
0 |
| Inputs |
|---|
(+.f64 (+.f64 (*.f64 x y) x) y) |
(+.f64 (+.f64 (*.f64 y x) y) x) |
| Outputs |
|---|
(+.f64 (+.f64 (*.f64 x y) x) y) |
(+.f64 y (fma.f64 x y x)) |
(+.f64 x (fma.f64 x y y)) |
(fma.f64 x y (+.f64 x y)) |
(+.f64 (+.f64 (*.f64 y x) y) x) |
(+.f64 y (fma.f64 x y x)) |
(+.f64 x (fma.f64 x y y)) |
(fma.f64 x y (+.f64 x y)) |
(sort x y)
Compiled 9 to 5 computations (44.4% saved)
| 1× | egg-herbie |
| 48× | fma-def_binary64 |
| 6× | +-commutative_binary64 |
| 6× | *-commutative_binary64 |
| 6× | distribute-rgt-in_binary64 |
| 4× | associate-*r*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 8 |
| 1 | 12 | 8 |
| 2 | 25 | 8 |
| 3 | 35 | 8 |
| 4 | 45 | 8 |
| 5 | 58 | 8 |
| 6 | 80 | 8 |
| 7 | 102 | 8 |
| 8 | 109 | 8 |
| 9 | 110 | 8 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (+.f64 (*.f64 x y) x) y) |
| Outputs |
|---|
(+.f64 (+.f64 (*.f64 x y) x) y) |
(+.f64 y (fma.f64 x y x)) |
(+.f64 x (fma.f64 x y y)) |
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 |
|---|---|---|
| ▶ | 0.0b | (+.f64 x (fma.f64 x y y)) |
Compiled 31 to 15 computations (51.6% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 x (fma.f64 x y y)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (+.f64 x (fma.f64 x y y)) |
| 1.0ms | x | @ | 0 | (+.f64 x (fma.f64 x y y)) |
| 1.0ms | x | @ | inf | (+.f64 x (fma.f64 x y y)) |
| 1.0ms | y | @ | -inf | (+.f64 x (fma.f64 x y y)) |
| 0.0ms | y | @ | inf | (+.f64 x (fma.f64 x y y)) |
| 1× | batch-egg-rewrite |
| 643× | pow1_binary64 |
| 599× | add-log-exp_binary64 |
| 599× | log1p-expm1-u_binary64 |
| 599× | expm1-log1p-u_binary64 |
| 60× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 8 |
| 1 | 110 | 8 |
| 2 | 1573 | 8 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 x (fma.f64 x y y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x (fma.f64 x y y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (fma.f64 x y y))) (/.f64 (pow.f64 (fma.f64 x y y) 2) (-.f64 x (fma.f64 x y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (fma.f64 x y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (fma.f64 x y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (fma.f64 x y y))) (cbrt.f64 (pow.f64 (+.f64 x (fma.f64 x y y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 x (fma.f64 x y y)) 2)) (cbrt.f64 (+.f64 x (fma.f64 x y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (fma.f64 x y y))) (sqrt.f64 (+.f64 x (fma.f64 x y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x y y) 3)) (/.f64 1 (fma.f64 x x (*.f64 (fma.f64 x y y) (-.f64 (fma.f64 x y y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 x y y) 2)) (/.f64 1 (-.f64 x (fma.f64 x y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (fma.f64 x y y) (-.f64 (fma.f64 x y y) x))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x y y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (fma.f64 x y y)) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 x y y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x y y) 3)) (fma.f64 x x (*.f64 (fma.f64 x y y) (-.f64 (fma.f64 x y y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x y y) 3)) (+.f64 (pow.f64 (fma.f64 x y y) 2) (-.f64 (*.f64 x x) (*.f64 x (fma.f64 x y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 x y y) 2)) (-.f64 x (fma.f64 x y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x y y) 3))) (neg.f64 (fma.f64 x x (*.f64 (fma.f64 x y y) (-.f64 (fma.f64 x y y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 x y y) 2))) (neg.f64 (-.f64 x (fma.f64 x y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 x y y) 2) (*.f64 x x)) (-.f64 (fma.f64 x y y) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (fma.f64 x y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (fma.f64 x y y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (fma.f64 x y y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (fma.f64 x y y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (fma.f64 x y y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (fma.f64 x y y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x (fma.f64 x y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (fma.f64 x y y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (fma.f64 x y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x y y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (fma.f64 x y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x y y)) 2) (cbrt.f64 (fma.f64 x y y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 x y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x y y)) (sqrt.f64 (fma.f64 x y y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (fma.f64 x y y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (fma.f64 x y y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (fma.f64 x y y)))))))) |
| 1× | egg-herbie |
| 48× | fma-def_binary64 |
| 5× | +-commutative_binary64 |
| 5× | *-commutative_binary64 |
| 5× | associate-*l*_binary64 |
| 4× | distribute-lft-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 174 |
| 1 | 23 | 170 |
| 2 | 45 | 166 |
| 3 | 62 | 166 |
| 4 | 90 | 166 |
| 5 | 105 | 166 |
| 6 | 107 | 166 |
| 1× | saturated |
| Inputs |
|---|
y |
(+.f64 (*.f64 y x) (+.f64 y x)) |
(+.f64 (*.f64 y x) (+.f64 y x)) |
(+.f64 (*.f64 y x) (+.f64 y x)) |
(*.f64 (+.f64 1 y) x) |
(+.f64 (*.f64 y x) (+.f64 y x)) |
(+.f64 (*.f64 y x) (+.f64 y x)) |
(+.f64 (*.f64 y x) (+.f64 y x)) |
(*.f64 (+.f64 1 y) x) |
(+.f64 (*.f64 y x) (+.f64 y x)) |
(+.f64 (*.f64 y x) (+.f64 y x)) |
(+.f64 (*.f64 y x) (+.f64 y x)) |
x |
(+.f64 (*.f64 y x) (+.f64 y x)) |
(+.f64 (*.f64 y x) (+.f64 y x)) |
(+.f64 (*.f64 y x) (+.f64 y x)) |
(*.f64 (+.f64 1 x) y) |
(+.f64 (*.f64 y x) (+.f64 y x)) |
(+.f64 (*.f64 y x) (+.f64 y x)) |
(+.f64 (*.f64 y x) (+.f64 y x)) |
(*.f64 (+.f64 1 x) y) |
(+.f64 (*.f64 y x) (+.f64 y x)) |
(+.f64 (*.f64 y x) (+.f64 y x)) |
(+.f64 (*.f64 y x) (+.f64 y x)) |
| Outputs |
|---|
y |
(+.f64 (*.f64 y x) (+.f64 y x)) |
(fma.f64 y x (+.f64 y x)) |
(+.f64 x (fma.f64 y x y)) |
(+.f64 y (fma.f64 y x x)) |
(+.f64 (*.f64 y x) (+.f64 y x)) |
(fma.f64 y x (+.f64 y x)) |
(+.f64 x (fma.f64 y x y)) |
(+.f64 y (fma.f64 y x x)) |
(+.f64 (*.f64 y x) (+.f64 y x)) |
(fma.f64 y x (+.f64 y x)) |
(+.f64 x (fma.f64 y x y)) |
(+.f64 y (fma.f64 y x x)) |
(*.f64 (+.f64 1 y) x) |
(*.f64 x (+.f64 y 1)) |
(fma.f64 y x x) |
(+.f64 (*.f64 y x) (+.f64 y x)) |
(fma.f64 y x (+.f64 y x)) |
(+.f64 x (fma.f64 y x y)) |
(+.f64 y (fma.f64 y x x)) |
(+.f64 (*.f64 y x) (+.f64 y x)) |
(fma.f64 y x (+.f64 y x)) |
(+.f64 x (fma.f64 y x y)) |
(+.f64 y (fma.f64 y x x)) |
(+.f64 (*.f64 y x) (+.f64 y x)) |
(fma.f64 y x (+.f64 y x)) |
(+.f64 x (fma.f64 y x y)) |
(+.f64 y (fma.f64 y x x)) |
(*.f64 (+.f64 1 y) x) |
(*.f64 x (+.f64 y 1)) |
(fma.f64 y x x) |
(+.f64 (*.f64 y x) (+.f64 y x)) |
(fma.f64 y x (+.f64 y x)) |
(+.f64 x (fma.f64 y x y)) |
(+.f64 y (fma.f64 y x x)) |
(+.f64 (*.f64 y x) (+.f64 y x)) |
(fma.f64 y x (+.f64 y x)) |
(+.f64 x (fma.f64 y x y)) |
(+.f64 y (fma.f64 y x x)) |
(+.f64 (*.f64 y x) (+.f64 y x)) |
(fma.f64 y x (+.f64 y x)) |
(+.f64 x (fma.f64 y x y)) |
(+.f64 y (fma.f64 y x x)) |
x |
(+.f64 (*.f64 y x) (+.f64 y x)) |
(fma.f64 y x (+.f64 y x)) |
(+.f64 x (fma.f64 y x y)) |
(+.f64 y (fma.f64 y x x)) |
(+.f64 (*.f64 y x) (+.f64 y x)) |
(fma.f64 y x (+.f64 y x)) |
(+.f64 x (fma.f64 y x y)) |
(+.f64 y (fma.f64 y x x)) |
(+.f64 (*.f64 y x) (+.f64 y x)) |
(fma.f64 y x (+.f64 y x)) |
(+.f64 x (fma.f64 y x y)) |
(+.f64 y (fma.f64 y x x)) |
(*.f64 (+.f64 1 x) y) |
(*.f64 y (+.f64 x 1)) |
(fma.f64 y x y) |
(+.f64 (*.f64 y x) (+.f64 y x)) |
(fma.f64 y x (+.f64 y x)) |
(+.f64 x (fma.f64 y x y)) |
(+.f64 y (fma.f64 y x x)) |
(+.f64 (*.f64 y x) (+.f64 y x)) |
(fma.f64 y x (+.f64 y x)) |
(+.f64 x (fma.f64 y x y)) |
(+.f64 y (fma.f64 y x x)) |
(+.f64 (*.f64 y x) (+.f64 y x)) |
(fma.f64 y x (+.f64 y x)) |
(+.f64 x (fma.f64 y x y)) |
(+.f64 y (fma.f64 y x x)) |
(*.f64 (+.f64 1 x) y) |
(*.f64 y (+.f64 x 1)) |
(fma.f64 y x y) |
(+.f64 (*.f64 y x) (+.f64 y x)) |
(fma.f64 y x (+.f64 y x)) |
(+.f64 x (fma.f64 y x y)) |
(+.f64 y (fma.f64 y x x)) |
(+.f64 (*.f64 y x) (+.f64 y x)) |
(fma.f64 y x (+.f64 y x)) |
(+.f64 x (fma.f64 y x y)) |
(+.f64 y (fma.f64 y x x)) |
(+.f64 (*.f64 y x) (+.f64 y x)) |
(fma.f64 y x (+.f64 y x)) |
(+.f64 x (fma.f64 y x y)) |
(+.f64 y (fma.f64 y x x)) |
2 alts after pruning (1 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 41 | 1 | 42 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 41 | 2 | 43 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.0b | (+.f64 y (fma.f64 y x x)) |
| ✓ | 0.0b | (+.f64 x (fma.f64 x y y)) |
Compiled 539 to 165 computations (69.4% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 y (fma.f64 y x x)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (+.f64 y (fma.f64 y x x)) |
| 0.0ms | y | @ | -inf | (+.f64 y (fma.f64 y x x)) |
| 0.0ms | x | @ | -inf | (+.f64 y (fma.f64 y x x)) |
| 0.0ms | x | @ | inf | (+.f64 y (fma.f64 y x x)) |
| 0.0ms | x | @ | 0 | (+.f64 y (fma.f64 y x x)) |
| 1× | batch-egg-rewrite |
| 643× | pow1_binary64 |
| 599× | add-log-exp_binary64 |
| 599× | log1p-expm1-u_binary64 |
| 599× | expm1-log1p-u_binary64 |
| 60× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 8 |
| 1 | 110 | 8 |
| 2 | 1573 | 8 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 y (fma.f64 y x x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 y (fma.f64 y x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 y y) (-.f64 y (fma.f64 y x x))) (/.f64 (pow.f64 (fma.f64 y x x) 2) (-.f64 y (fma.f64 y x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y (fma.f64 y x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 y (fma.f64 y x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 y (fma.f64 y x x))) (cbrt.f64 (pow.f64 (+.f64 y (fma.f64 y x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 y (fma.f64 y x x)) 2)) (cbrt.f64 (+.f64 y (fma.f64 y x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 y (fma.f64 y x x))) (sqrt.f64 (+.f64 y (fma.f64 y x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 y 3) (pow.f64 (fma.f64 y x x) 3)) (/.f64 1 (fma.f64 y y (*.f64 (fma.f64 y x x) (-.f64 (fma.f64 y x x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 y y) (pow.f64 (fma.f64 y x x) 2)) (/.f64 1 (-.f64 y (fma.f64 y x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 y y (*.f64 (fma.f64 y x x) (-.f64 (fma.f64 y x x) y))) (+.f64 (pow.f64 y 3) (pow.f64 (fma.f64 y x x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 y (fma.f64 y x x)) (-.f64 (*.f64 y y) (pow.f64 (fma.f64 y x x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 y 3) (pow.f64 (fma.f64 y x x) 3)) (fma.f64 y y (*.f64 (fma.f64 y x x) (-.f64 (fma.f64 y x x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 y 3) (pow.f64 (fma.f64 y x x) 3)) (+.f64 (pow.f64 (fma.f64 y x x) 2) (-.f64 (*.f64 y y) (*.f64 y (fma.f64 y x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 y y) (pow.f64 (fma.f64 y x x) 2)) (-.f64 y (fma.f64 y x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 y 3) (pow.f64 (fma.f64 y x x) 3))) (neg.f64 (fma.f64 y y (*.f64 (fma.f64 y x x) (-.f64 (fma.f64 y x x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 (fma.f64 y x x) 2))) (neg.f64 (-.f64 y (fma.f64 y x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 y x x) 2) (*.f64 y y)) (-.f64 (fma.f64 y x x) y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 y (fma.f64 y x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 y (fma.f64 y x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 y (fma.f64 y x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 y (fma.f64 y x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 y (fma.f64 y x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 y (fma.f64 y x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 y (fma.f64 y x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 y (fma.f64 y x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 y (fma.f64 y x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 y x x) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 y y)) (cbrt.f64 y) (fma.f64 y x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y x x)) 2) (cbrt.f64 (fma.f64 y x x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 y) (fma.f64 y x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 y x x)) (sqrt.f64 (fma.f64 y x x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 y (fma.f64 y x x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 y (fma.f64 y x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 y (fma.f64 y x x)))))))) |
| 1× | egg-herbie |
| 48× | fma-def_binary64 |
| 5× | +-commutative_binary64 |
| 5× | *-commutative_binary64 |
| 5× | associate-*l*_binary64 |
| 4× | distribute-lft-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 174 |
| 1 | 23 | 170 |
| 2 | 45 | 166 |
| 3 | 62 | 166 |
| 4 | 90 | 166 |
| 5 | 105 | 166 |
| 6 | 107 | 166 |
| 1× | saturated |
| Inputs |
|---|
x |
(+.f64 (*.f64 y x) (+.f64 y x)) |
(+.f64 (*.f64 y x) (+.f64 y x)) |
(+.f64 (*.f64 y x) (+.f64 y x)) |
(*.f64 (+.f64 1 x) y) |
(+.f64 (*.f64 y x) (+.f64 y x)) |
(+.f64 (*.f64 y x) (+.f64 y x)) |
(+.f64 (*.f64 y x) (+.f64 y x)) |
(*.f64 (+.f64 1 x) y) |
(+.f64 (*.f64 y x) (+.f64 y x)) |
(+.f64 (*.f64 y x) (+.f64 y x)) |
(+.f64 (*.f64 y x) (+.f64 y x)) |
y |
(+.f64 (*.f64 y x) (+.f64 y x)) |
(+.f64 (*.f64 y x) (+.f64 y x)) |
(+.f64 (*.f64 y x) (+.f64 y x)) |
(*.f64 (+.f64 1 y) x) |
(+.f64 (*.f64 y x) (+.f64 y x)) |
(+.f64 (*.f64 y x) (+.f64 y x)) |
(+.f64 (*.f64 y x) (+.f64 y x)) |
(*.f64 (+.f64 1 y) x) |
(+.f64 (*.f64 y x) (+.f64 y x)) |
(+.f64 (*.f64 y x) (+.f64 y x)) |
(+.f64 (*.f64 y x) (+.f64 y x)) |
| Outputs |
|---|
x |
(+.f64 (*.f64 y x) (+.f64 y x)) |
(fma.f64 y x (+.f64 x y)) |
(+.f64 x (fma.f64 x y y)) |
(+.f64 (*.f64 y x) (+.f64 y x)) |
(fma.f64 y x (+.f64 x y)) |
(+.f64 x (fma.f64 x y y)) |
(+.f64 (*.f64 y x) (+.f64 y x)) |
(fma.f64 y x (+.f64 x y)) |
(+.f64 x (fma.f64 x y y)) |
(*.f64 (+.f64 1 x) y) |
(*.f64 y (+.f64 x 1)) |
(fma.f64 x y y) |
(+.f64 (*.f64 y x) (+.f64 y x)) |
(fma.f64 y x (+.f64 x y)) |
(+.f64 x (fma.f64 x y y)) |
(+.f64 (*.f64 y x) (+.f64 y x)) |
(fma.f64 y x (+.f64 x y)) |
(+.f64 x (fma.f64 x y y)) |
(+.f64 (*.f64 y x) (+.f64 y x)) |
(fma.f64 y x (+.f64 x y)) |
(+.f64 x (fma.f64 x y y)) |
(*.f64 (+.f64 1 x) y) |
(*.f64 y (+.f64 x 1)) |
(fma.f64 x y y) |
(+.f64 (*.f64 y x) (+.f64 y x)) |
(fma.f64 y x (+.f64 x y)) |
(+.f64 x (fma.f64 x y y)) |
(+.f64 (*.f64 y x) (+.f64 y x)) |
(fma.f64 y x (+.f64 x y)) |
(+.f64 x (fma.f64 x y y)) |
(+.f64 (*.f64 y x) (+.f64 y x)) |
(fma.f64 y x (+.f64 x y)) |
(+.f64 x (fma.f64 x y y)) |
y |
(+.f64 (*.f64 y x) (+.f64 y x)) |
(fma.f64 y x (+.f64 x y)) |
(+.f64 x (fma.f64 x y y)) |
(+.f64 (*.f64 y x) (+.f64 y x)) |
(fma.f64 y x (+.f64 x y)) |
(+.f64 x (fma.f64 x y y)) |
(+.f64 (*.f64 y x) (+.f64 y x)) |
(fma.f64 y x (+.f64 x y)) |
(+.f64 x (fma.f64 x y y)) |
(*.f64 (+.f64 1 y) x) |
(*.f64 x (+.f64 y 1)) |
(fma.f64 x y x) |
(+.f64 (*.f64 y x) (+.f64 y x)) |
(fma.f64 y x (+.f64 x y)) |
(+.f64 x (fma.f64 x y y)) |
(+.f64 (*.f64 y x) (+.f64 y x)) |
(fma.f64 y x (+.f64 x y)) |
(+.f64 x (fma.f64 x y y)) |
(+.f64 (*.f64 y x) (+.f64 y x)) |
(fma.f64 y x (+.f64 x y)) |
(+.f64 x (fma.f64 x y y)) |
(*.f64 (+.f64 1 y) x) |
(*.f64 x (+.f64 y 1)) |
(fma.f64 x y x) |
(+.f64 (*.f64 y x) (+.f64 y x)) |
(fma.f64 y x (+.f64 x y)) |
(+.f64 x (fma.f64 x y y)) |
(+.f64 (*.f64 y x) (+.f64 y x)) |
(fma.f64 y x (+.f64 x y)) |
(+.f64 x (fma.f64 x y y)) |
(+.f64 (*.f64 y x) (+.f64 y x)) |
(fma.f64 y x (+.f64 x y)) |
(+.f64 x (fma.f64 x y y)) |
2 alts after pruning (0 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 42 | 0 | 42 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 42 | 2 | 44 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 y (fma.f64 y x x)) |
| ✓ | 0.0b | (+.f64 x (fma.f64 x y y)) |
Compiled 531 to 161 computations (69.7% saved)
Total 0.0b remaining (89.4%)
Threshold costs 0.0b (89.4%)
Compiled 64 to 26 computations (59.4% saved)
| 1× | egg-herbie |
| 1× | +-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 8 |
| 1 | 6 | 8 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 y (fma.f64 y x x)) |
| Outputs |
|---|
(+.f64 y (fma.f64 y x x)) |
| 1× | done |
(sort x y)
Compiled 48 to 24 computations (50% saved)
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