Time bar (total: 5.4s)
| 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 |
| 25% | 62.4% | 12.6% | 6 |
| 25% | 43.7% | 31.3% | 7 |
| 31.2% | 31.2% | 37.6% | 8 |
| 39% | 23.4% | 37.6% | 9 |
| 42.9% | 16.4% | 40.7% | 10 |
| 47.2% | 12.1% | 40.7% | 11 |
| 49.4% | 8.4% | 42.2% | 12 |
Compiled 14 to 9 computations (35.7% saved)
| 1.0s | 8256× | body | 256 | valid |
| 21.0ms | 225× | body | 256 | invalid |
| 2× | egg-herbie |
| 26× | fma-def_binary64 |
| 11× | +-commutative_binary64 |
| 6× | associate-+r+_binary64 |
| 6× | associate-+l+_binary64 |
| 4× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 26 |
| 1 | 28 | 22 |
| 2 | 62 | 22 |
| 3 | 76 | 22 |
| 0 | 2 | 2 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
| Inputs |
|---|
(+.f64 (+.f64 (*.f64 x 2) (*.f64 x x)) (*.f64 y y)) |
(+.f64 (+.f64 (*.f64 y 2) (*.f64 y y)) (*.f64 x x)) |
| Outputs |
|---|
(+.f64 (+.f64 (*.f64 x 2) (*.f64 x x)) (*.f64 y y)) |
(+.f64 (*.f64 x (+.f64 2 x)) (*.f64 y y)) |
(fma.f64 x (+.f64 x 2) (*.f64 y y)) |
(+.f64 (+.f64 (*.f64 y 2) (*.f64 y y)) (*.f64 x x)) |
(+.f64 (*.f64 x x) (*.f64 y (+.f64 2 y))) |
(fma.f64 x x (*.f64 y (+.f64 2 y))) |
Compiled 15 to 10 computations (33.3% saved)
| 1× | egg-herbie |
| 14× | fma-def_binary64 |
| 6× | +-commutative_binary64 |
| 3× | associate-+r+_binary64 |
| 3× | associate-+l+_binary64 |
| 2× | *-commutative_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 13 |
| 1 | 17 | 11 |
| 2 | 34 | 11 |
| 3 | 42 | 11 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (+.f64 (*.f64 x 2) (*.f64 x x)) (*.f64 y y)) |
| Outputs |
|---|
(+.f64 (+.f64 (*.f64 x 2) (*.f64 x x)) (*.f64 y y)) |
(+.f64 (*.f64 x (+.f64 2 x)) (*.f64 y y)) |
(fma.f64 x (+.f64 x 2) (*.f64 y y)) |
Compiled 21 to 11 computations (47.6% saved)
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 |
|---|---|---|
| ▶ | 0.0b | (fma.f64 x (+.f64 x 2) (*.f64 y y)) |
| ▶ | 0.0b | (+.f64 (+.f64 (*.f64 x 2) (*.f64 x x)) (*.f64 y y)) |
Compiled 23 to 14 computations (39.1% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (+.f64 (*.f64 x 2) (*.f64 x x)) (*.f64 y y)) |
| ✓ | 0.0b | (+.f64 (*.f64 x 2) (*.f64 x x)) |
Compiled 32 to 14 computations (56.3% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (+.f64 (*.f64 x 2) (*.f64 x x)) |
| 1.0ms | x | @ | inf | (+.f64 (*.f64 x 2) (*.f64 x x)) |
| 1.0ms | y | @ | 0 | (+.f64 (+.f64 (*.f64 x 2) (*.f64 x x)) (*.f64 y y)) |
| 0.0ms | y | @ | inf | (+.f64 (+.f64 (*.f64 x 2) (*.f64 x x)) (*.f64 y y)) |
| 0.0ms | x | @ | -inf | (+.f64 (*.f64 x 2) (*.f64 x x)) |
| 1× | batch-egg-rewrite |
| 577× | fma-def_binary64 |
| 467× | log-prod_binary64 |
| 356× | pow-prod-down_binary64 |
| 280× | fma-neg_binary64 |
| 262× | pow2_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 20 |
| 1 | 203 | 18 |
| 2 | 2909 | 18 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 x 2) (*.f64 x x)) |
(+.f64 (+.f64 (*.f64 x 2) (*.f64 x x)) (*.f64 y y)) |
| Outputs |
|---|
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x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x x)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2) (-.f64 (*.f64 x (+.f64 x 2)) (*.f64 y y))) (/.f64 (pow.f64 y 4) (-.f64 (*.f64 x (+.f64 x 2)) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2))) (pow.f64 (cbrt.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2))) 2) (cbrt.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 y (hypot.f64 x (sqrt.f64 (+.f64 x x)))) (hypot.f64 y (hypot.f64 x (sqrt.f64 (+.f64 x x)))))))) 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(*.f64 x x) 4) (pow.f64 (pow.f64 (hypot.f64 x y) 2) 2)) (-.f64 (+.f64 x x) (pow.f64 (hypot.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 y 4) (pow.f64 (*.f64 x (+.f64 x 2)) 2)) (-.f64 (*.f64 y y) (*.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 y (hypot.f64 x (sqrt.f64 (+.f64 x x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 y y) (-.f64 (*.f64 y y) (*.f64 x (+.f64 x 2))) (pow.f64 (*.f64 x (+.f64 x 2)) 2)) (+.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) (pow.f64 y 6))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (*.f64 x (+.f64 x 2)) (*.f64 y y)) (-.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2) (pow.f64 y 4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x x))) (exp.f64 (pow.f64 (hypot.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x x))) (pow.f64 (exp.f64 1) (pow.f64 (hypot.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 x 2)))) (pow.f64 (exp.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)) (+.f64 1 (expm1.f64 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 x 2)))) (+.f64 1 (expm1.f64 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 y y))) (pow.f64 (exp.f64 x) (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 y) y) (+.f64 1 (expm1.f64 (*.f64 x (+.f64 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 y y))) (+.f64 1 (expm1.f64 (*.f64 x (+.f64 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (pow.f64 (hypot.f64 x y) 2)) (pow.f64 (exp.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (pow.f64 (hypot.f64 x y) 2)) (+.f64 1 (expm1.f64 (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 1) (pow.f64 (hypot.f64 x y) 2)) (+.f64 1 (expm1.f64 (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 y (hypot.f64 x (sqrt.f64 (+.f64 x x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x (fma.f64 x 2 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 2 (pow.f64 (hypot.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 2 (*.f64 (pow.f64 (hypot.f64 x y) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (+.f64 x 2) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 x (pow.f64 (hypot.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 x (*.f64 (pow.f64 (hypot.f64 x y) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x x) 1 (pow.f64 (hypot.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x x) 1 (*.f64 (pow.f64 (hypot.f64 x y) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 1 (fma.f64 x 2 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (+.f64 x 2)) 1 (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y y (*.f64 x (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y y) 1 (*.f64 x (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x x) (pow.f64 (hypot.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x x) (*.f64 (pow.f64 (hypot.f64 x y) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x x) (fma.f64 x 2 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (+.f64 x 2)) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y y) (*.f64 x (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (hypot.f64 x y) 2) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (pow.f64 y 4)) (*.f64 x (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 y 4)) (pow.f64 (cbrt.f64 y) 2) (*.f64 x (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)) (fma.f64 x 2 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (+.f64 x 2)) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 2) (pow.f64 (hypot.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 2) (*.f64 (pow.f64 (hypot.f64 x y) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (fma.f64 x 2 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2) (cbrt.f64 (*.f64 x (+.f64 x 2))) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (pow.f64 (hypot.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (*.f64 (pow.f64 (hypot.f64 x y) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (cbrt.f64 (+.f64 x x)) (pow.f64 (hypot.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (cbrt.f64 (+.f64 x x)) (*.f64 (pow.f64 (hypot.f64 x y) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (fma.f64 x 2 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 x 2)) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 2) (pow.f64 (hypot.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 2) (*.f64 (pow.f64 (hypot.f64 x y) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 x (sqrt.f64 (+.f64 x x))) (hypot.f64 x (sqrt.f64 (+.f64 x x))) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (pow.f64 y 3/2) (*.f64 x (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 (+.f64 x x)) (pow.f64 (hypot.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 (+.f64 x x)) (*.f64 (pow.f64 (hypot.f64 x y) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (/.f64 1 (-.f64 (fma.f64 (*.f64 x x) 4 (pow.f64 x 4)) (*.f64 2 (pow.f64 x 3)))) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 (*.f64 x x) 4) (pow.f64 x 4)) (/.f64 1 (*.f64 x (-.f64 2 x))) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x 2) x (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 y 3/2) (sqrt.f64 y) (*.f64 x (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) 2)) 2) (cbrt.f64 (pow.f64 (hypot.f64 x y) 2)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 x y) (hypot.f64 x y) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) (fma.f64 x 2 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 5) (cbrt.f64 y) (*.f64 x (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 5) (cbrt.f64 x) (fma.f64 x 2 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (pow.f64 (hypot.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (pow.f64 (hypot.f64 x y) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 x) (pow.f64 (hypot.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (pow.f64 (hypot.f64 x y) 2) 1)))))) |
| 1× | egg-herbie |
| 1204× | sqr-pow_binary64 |
| 666× | cube-prod_binary64 |
| 661× | fabs-mul_binary64 |
| 514× | pow-sqr_binary64 |
| 511× | fma-def_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 346 |
| 1 | 28 | 304 |
| 2 | 55 | 289 |
| 3 | 88 | 289 |
| 4 | 190 | 289 |
| 5 | 496 | 289 |
| 6 | 1665 | 289 |
| 7 | 2348 | 289 |
| 8 | 2680 | 289 |
| 9 | 2940 | 289 |
| 10 | 3281 | 289 |
| 11 | 3787 | 289 |
| 12 | 4446 | 289 |
| 13 | 5240 | 289 |
| 14 | 6169 | 289 |
| 15 | 6690 | 289 |
| 16 | 7105 | 289 |
| 17 | 7498 | 289 |
| 18 | 7623 | 289 |
| 19 | 7669 | 289 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 2 x) |
(+.f64 (*.f64 2 x) (pow.f64 x 2)) |
(+.f64 (*.f64 2 x) (pow.f64 x 2)) |
(+.f64 (*.f64 2 x) (pow.f64 x 2)) |
(pow.f64 x 2) |
(+.f64 (*.f64 2 x) (pow.f64 x 2)) |
(+.f64 (*.f64 2 x) (pow.f64 x 2)) |
(+.f64 (*.f64 2 x) (pow.f64 x 2)) |
(pow.f64 x 2) |
(+.f64 (*.f64 2 x) (pow.f64 x 2)) |
(+.f64 (*.f64 2 x) (pow.f64 x 2)) |
(+.f64 (*.f64 2 x) (pow.f64 x 2)) |
(pow.f64 y 2) |
(+.f64 (*.f64 2 x) (pow.f64 y 2)) |
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(pow.f64 x 2) |
(+.f64 (*.f64 2 x) (pow.f64 x 2)) |
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(pow.f64 x 2) |
(+.f64 (*.f64 2 x) (pow.f64 x 2)) |
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(+.f64 (*.f64 2 x) (pow.f64 x 2)) |
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(pow.f64 y 2) |
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(pow.f64 y 2) |
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2))) |
| Outputs |
|---|
(*.f64 2 x) |
(+.f64 (*.f64 2 x) (pow.f64 x 2)) |
(fma.f64 2 x (*.f64 x x)) |
(*.f64 x (+.f64 x 2)) |
(*.f64 x (+.f64 2 x)) |
(+.f64 (*.f64 2 x) (pow.f64 x 2)) |
(fma.f64 2 x (*.f64 x x)) |
(*.f64 x (+.f64 x 2)) |
(*.f64 x (+.f64 2 x)) |
(+.f64 (*.f64 2 x) (pow.f64 x 2)) |
(fma.f64 2 x (*.f64 x x)) |
(*.f64 x (+.f64 x 2)) |
(*.f64 x (+.f64 2 x)) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (*.f64 2 x) (pow.f64 x 2)) |
(fma.f64 2 x (*.f64 x x)) |
(*.f64 x (+.f64 x 2)) |
(*.f64 x (+.f64 2 x)) |
(+.f64 (*.f64 2 x) (pow.f64 x 2)) |
(fma.f64 2 x (*.f64 x x)) |
(*.f64 x (+.f64 x 2)) |
(*.f64 x (+.f64 2 x)) |
(+.f64 (*.f64 2 x) (pow.f64 x 2)) |
(fma.f64 2 x (*.f64 x x)) |
(*.f64 x (+.f64 x 2)) |
(*.f64 x (+.f64 2 x)) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (*.f64 2 x) (pow.f64 x 2)) |
(fma.f64 2 x (*.f64 x x)) |
(*.f64 x (+.f64 x 2)) |
(*.f64 x (+.f64 2 x)) |
(+.f64 (*.f64 2 x) (pow.f64 x 2)) |
(fma.f64 2 x (*.f64 x x)) |
(*.f64 x (+.f64 x 2)) |
(*.f64 x (+.f64 2 x)) |
(+.f64 (*.f64 2 x) (pow.f64 x 2)) |
(fma.f64 2 x (*.f64 x x)) |
(*.f64 x (+.f64 x 2)) |
(*.f64 x (+.f64 2 x)) |
(pow.f64 y 2) |
(*.f64 y y) |
(+.f64 (*.f64 2 x) (pow.f64 y 2)) |
(fma.f64 2 x (*.f64 y y)) |
(fma.f64 y y (*.f64 2 x)) |
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(+.f64 (fma.f64 2 x (*.f64 y y)) (*.f64 x x)) |
(fma.f64 2 x (fma.f64 x x (*.f64 y y))) |
(fma.f64 x (+.f64 2 x) (*.f64 y y)) |
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(+.f64 (fma.f64 2 x (*.f64 y y)) (*.f64 x x)) |
(fma.f64 2 x (fma.f64 x x (*.f64 y y))) |
(fma.f64 x (+.f64 2 x) (*.f64 y y)) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (*.f64 2 x) (pow.f64 x 2)) |
(fma.f64 2 x (*.f64 x x)) |
(*.f64 x (+.f64 x 2)) |
(*.f64 x (+.f64 2 x)) |
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(+.f64 (fma.f64 2 x (*.f64 y y)) (*.f64 x x)) |
(fma.f64 2 x (fma.f64 x x (*.f64 y y))) |
(fma.f64 x (+.f64 2 x) (*.f64 y y)) |
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(+.f64 (fma.f64 2 x (*.f64 y y)) (*.f64 x x)) |
(fma.f64 2 x (fma.f64 x x (*.f64 y y))) |
(fma.f64 x (+.f64 2 x) (*.f64 y y)) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (*.f64 2 x) (pow.f64 x 2)) |
(fma.f64 2 x (*.f64 x x)) |
(*.f64 x (+.f64 x 2)) |
(*.f64 x (+.f64 2 x)) |
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(+.f64 (fma.f64 2 x (*.f64 y y)) (*.f64 x x)) |
(fma.f64 2 x (fma.f64 x x (*.f64 y y))) |
(fma.f64 x (+.f64 2 x) (*.f64 y y)) |
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(+.f64 (fma.f64 2 x (*.f64 y y)) (*.f64 x x)) |
(fma.f64 2 x (fma.f64 x x (*.f64 y y))) |
(fma.f64 x (+.f64 2 x) (*.f64 y y)) |
(+.f64 (*.f64 2 x) (pow.f64 x 2)) |
(fma.f64 2 x (*.f64 x x)) |
(*.f64 x (+.f64 x 2)) |
(*.f64 x (+.f64 2 x)) |
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(+.f64 (fma.f64 2 x (*.f64 y y)) (*.f64 x x)) |
(fma.f64 2 x (fma.f64 x x (*.f64 y y))) |
(fma.f64 x (+.f64 2 x) (*.f64 y y)) |
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(+.f64 (fma.f64 2 x (*.f64 y y)) (*.f64 x x)) |
(fma.f64 2 x (fma.f64 x x (*.f64 y y))) |
(fma.f64 x (+.f64 2 x) (*.f64 y y)) |
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(+.f64 (fma.f64 2 x (*.f64 y y)) (*.f64 x x)) |
(fma.f64 2 x (fma.f64 x x (*.f64 y y))) |
(fma.f64 x (+.f64 2 x) (*.f64 y y)) |
(pow.f64 y 2) |
(*.f64 y y) |
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(+.f64 (fma.f64 2 x (*.f64 y y)) (*.f64 x x)) |
(fma.f64 2 x (fma.f64 x x (*.f64 y y))) |
(fma.f64 x (+.f64 2 x) (*.f64 y y)) |
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(+.f64 (fma.f64 2 x (*.f64 y y)) (*.f64 x x)) |
(fma.f64 2 x (fma.f64 x x (*.f64 y y))) |
(fma.f64 x (+.f64 2 x) (*.f64 y y)) |
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(+.f64 (fma.f64 2 x (*.f64 y y)) (*.f64 x x)) |
(fma.f64 2 x (fma.f64 x x (*.f64 y y))) |
(fma.f64 x (+.f64 2 x) (*.f64 y y)) |
(pow.f64 y 2) |
(*.f64 y y) |
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(+.f64 (fma.f64 2 x (*.f64 y y)) (*.f64 x x)) |
(fma.f64 2 x (fma.f64 x x (*.f64 y y))) |
(fma.f64 x (+.f64 2 x) (*.f64 y y)) |
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(+.f64 (fma.f64 2 x (*.f64 y y)) (*.f64 x x)) |
(fma.f64 2 x (fma.f64 x x (*.f64 y y))) |
(fma.f64 x (+.f64 2 x) (*.f64 y y)) |
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(+.f64 (fma.f64 2 x (*.f64 y y)) (*.f64 x x)) |
(fma.f64 2 x (fma.f64 x x (*.f64 y y))) |
(fma.f64 x (+.f64 2 x) (*.f64 y y)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (fma.f64 x (+.f64 x 2) (*.f64 y y)) |
Compiled 19 to 9 computations (52.6% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (fma.f64 x (+.f64 x 2) (*.f64 y y)) |
| 1.0ms | y | @ | 0 | (fma.f64 x (+.f64 x 2) (*.f64 y y)) |
| 1.0ms | x | @ | 0 | (fma.f64 x (+.f64 x 2) (*.f64 y y)) |
| 1.0ms | x | @ | -inf | (fma.f64 x (+.f64 x 2) (*.f64 y y)) |
| 0.0ms | y | @ | inf | (fma.f64 x (+.f64 x 2) (*.f64 y y)) |
| 1× | batch-egg-rewrite |
| 742× | pow1_binary64 |
| 690× | add-log-exp_binary64 |
| 689× | log1p-expm1-u_binary64 |
| 689× | expm1-log1p-u_binary64 |
| 675× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 11 |
| 1 | 150 | 11 |
| 2 | 1860 | 11 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 x (+.f64 x 2) (*.f64 y y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y y) (*.f64 x (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (+.f64 x 2)) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (+.f64 x 2)) 1) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x (+.f64 x 2) (*.f64 y y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (+.f64 x 2) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y))) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y))) 2) (cbrt.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y))) (sqrt.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) (pow.f64 (*.f64 y y) 3)) (+.f64 (*.f64 (*.f64 x (+.f64 x 2)) (*.f64 x (+.f64 x 2))) (-.f64 (pow.f64 y 4) (*.f64 (*.f64 x (+.f64 x 2)) (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (+.f64 x 2)) (*.f64 x (+.f64 x 2))) (pow.f64 y 4)) (-.f64 (*.f64 x (+.f64 x 2)) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (+.f64 x 2) (*.f64 y y)))))))) |
| 1× | egg-herbie |
| 796× | sqr-pow_binary64 |
| 666× | cube-prod_binary64 |
| 663× | fabs-mul_binary64 |
| 514× | pow-sqr_binary64 |
| 505× | fma-def_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 262 |
| 1 | 34 | 214 |
| 2 | 59 | 214 |
| 3 | 87 | 214 |
| 4 | 192 | 214 |
| 5 | 511 | 214 |
| 6 | 1715 | 214 |
| 7 | 2370 | 214 |
| 8 | 2701 | 214 |
| 9 | 2961 | 214 |
| 10 | 3300 | 214 |
| 11 | 3806 | 214 |
| 12 | 4467 | 214 |
| 13 | 5261 | 214 |
| 14 | 6190 | 214 |
| 15 | 6711 | 214 |
| 16 | 7124 | 214 |
| 17 | 7517 | 214 |
| 18 | 7644 | 214 |
| 19 | 7690 | 214 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 y 2) |
(+.f64 (*.f64 2 x) (pow.f64 y 2)) |
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(pow.f64 x 2) |
(+.f64 (*.f64 2 x) (pow.f64 x 2)) |
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(pow.f64 x 2) |
(+.f64 (*.f64 2 x) (pow.f64 x 2)) |
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(*.f64 (+.f64 2 x) x) |
(+.f64 (pow.f64 y 2) (*.f64 (+.f64 2 x) x)) |
(+.f64 (pow.f64 y 2) (*.f64 (+.f64 2 x) x)) |
(+.f64 (pow.f64 y 2) (*.f64 (+.f64 2 x) x)) |
(pow.f64 y 2) |
(+.f64 (pow.f64 y 2) (*.f64 (+.f64 2 x) x)) |
(+.f64 (pow.f64 y 2) (*.f64 (+.f64 2 x) x)) |
(+.f64 (pow.f64 y 2) (*.f64 (+.f64 2 x) x)) |
(pow.f64 y 2) |
(+.f64 (pow.f64 y 2) (*.f64 (+.f64 2 x) x)) |
(+.f64 (pow.f64 y 2) (*.f64 (+.f64 2 x) x)) |
(+.f64 (pow.f64 y 2) (*.f64 (+.f64 2 x) x)) |
| Outputs |
|---|
(pow.f64 y 2) |
(*.f64 y y) |
(+.f64 (*.f64 2 x) (pow.f64 y 2)) |
(fma.f64 2 x (*.f64 y y)) |
(fma.f64 y y (*.f64 2 x)) |
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(+.f64 (fma.f64 2 x (*.f64 y y)) (*.f64 x x)) |
(fma.f64 y y (*.f64 x (+.f64 2 x))) |
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(+.f64 (fma.f64 2 x (*.f64 y y)) (*.f64 x x)) |
(fma.f64 y y (*.f64 x (+.f64 2 x))) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (*.f64 2 x) (pow.f64 x 2)) |
(fma.f64 2 x (*.f64 x x)) |
(*.f64 x (+.f64 2 x)) |
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(+.f64 (fma.f64 2 x (*.f64 y y)) (*.f64 x x)) |
(fma.f64 y y (*.f64 x (+.f64 2 x))) |
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(+.f64 (fma.f64 2 x (*.f64 y y)) (*.f64 x x)) |
(fma.f64 y y (*.f64 x (+.f64 2 x))) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (*.f64 2 x) (pow.f64 x 2)) |
(fma.f64 2 x (*.f64 x x)) |
(*.f64 x (+.f64 2 x)) |
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(+.f64 (fma.f64 2 x (*.f64 y y)) (*.f64 x x)) |
(fma.f64 y y (*.f64 x (+.f64 2 x))) |
(+.f64 (*.f64 2 x) (+.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(+.f64 (fma.f64 2 x (*.f64 y y)) (*.f64 x x)) |
(fma.f64 y y (*.f64 x (+.f64 2 x))) |
(*.f64 (+.f64 2 x) x) |
(fma.f64 2 x (*.f64 x x)) |
(*.f64 x (+.f64 2 x)) |
(+.f64 (pow.f64 y 2) (*.f64 (+.f64 2 x) x)) |
(+.f64 (fma.f64 2 x (*.f64 y y)) (*.f64 x x)) |
(fma.f64 y y (*.f64 x (+.f64 2 x))) |
(+.f64 (pow.f64 y 2) (*.f64 (+.f64 2 x) x)) |
(+.f64 (fma.f64 2 x (*.f64 y y)) (*.f64 x x)) |
(fma.f64 y y (*.f64 x (+.f64 2 x))) |
(+.f64 (pow.f64 y 2) (*.f64 (+.f64 2 x) x)) |
(+.f64 (fma.f64 2 x (*.f64 y y)) (*.f64 x x)) |
(fma.f64 y y (*.f64 x (+.f64 2 x))) |
(pow.f64 y 2) |
(*.f64 y y) |
(+.f64 (pow.f64 y 2) (*.f64 (+.f64 2 x) x)) |
(+.f64 (fma.f64 2 x (*.f64 y y)) (*.f64 x x)) |
(fma.f64 y y (*.f64 x (+.f64 2 x))) |
(+.f64 (pow.f64 y 2) (*.f64 (+.f64 2 x) x)) |
(+.f64 (fma.f64 2 x (*.f64 y y)) (*.f64 x x)) |
(fma.f64 y y (*.f64 x (+.f64 2 x))) |
(+.f64 (pow.f64 y 2) (*.f64 (+.f64 2 x) x)) |
(+.f64 (fma.f64 2 x (*.f64 y y)) (*.f64 x x)) |
(fma.f64 y y (*.f64 x (+.f64 2 x))) |
(pow.f64 y 2) |
(*.f64 y y) |
(+.f64 (pow.f64 y 2) (*.f64 (+.f64 2 x) x)) |
(+.f64 (fma.f64 2 x (*.f64 y y)) (*.f64 x x)) |
(fma.f64 y y (*.f64 x (+.f64 2 x))) |
(+.f64 (pow.f64 y 2) (*.f64 (+.f64 2 x) x)) |
(+.f64 (fma.f64 2 x (*.f64 y y)) (*.f64 x x)) |
(fma.f64 y y (*.f64 x (+.f64 2 x))) |
(+.f64 (pow.f64 y 2) (*.f64 (+.f64 2 x) x)) |
(+.f64 (fma.f64 2 x (*.f64 y y)) (*.f64 x x)) |
(fma.f64 y y (*.f64 x (+.f64 2 x))) |
Compiled 3036 to 1583 computations (47.9% saved)
7 alts after pruning (5 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 206 | 5 | 211 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 206 | 7 | 213 |
| Status | Error | Program |
|---|---|---|
| ▶ | 34.7b | (*.f64 y y) |
| ✓ | 0.0b | (fma.f64 x (+.f64 x 2) (*.f64 y y)) |
| ▶ | 19.2b | (+.f64 (*.f64 x x) (*.f64 y y)) |
| ✓ | 0.0b | (+.f64 (+.f64 (*.f64 x 2) (*.f64 x x)) (*.f64 y y)) |
| ▶ | 16.8b | (+.f64 (*.f64 2 x) (*.f64 y y)) |
| ▶ | 27.6b | (*.f64 (+.f64 2 x) x) |
| ▶ | 46.1b | (*.f64 x x) |
Compiled 93 to 58 computations (37.6% saved)
Compiled 18 to 9 computations (50% saved)
Compiled 6 to 3 computations (50% saved)
Compiled 6 to 3 computations (50% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (+.f64 2 x) x) |
Compiled 12 to 8 computations (33.3% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (*.f64 (+.f64 2 x) x) |
| 1.0ms | x | @ | 0 | (*.f64 (+.f64 2 x) x) |
| 1.0ms | x | @ | inf | (*.f64 (+.f64 2 x) x) |
| 1× | batch-egg-rewrite |
| 583× | pow1_binary64 |
| 547× | add-log-exp_binary64 |
| 546× | log1p-expm1-u_binary64 |
| 546× | expm1-log1p-u_binary64 |
| 538× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 7 |
| 1 | 111 | 7 |
| 2 | 1433 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (+.f64 2 x) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) (*.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 x) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (+.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 8 (pow.f64 x 3)) x) (+.f64 4 (*.f64 x (-.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 4 (*.f64 x x)) x) (-.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 8 (pow.f64 x 3))) (+.f64 4 (*.f64 x (-.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 4 (*.f64 x x))) (-.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (+.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (+.f64 2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (+.f64 2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (+.f64 2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (+.f64 2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (+.f64 2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (+.f64 2 x)))))))) |
| 1× | egg-herbie |
| 1082× | sqr-pow_binary64 |
| 560× | cube-prod_binary64 |
| 556× | fabs-mul_binary64 |
| 523× | pow-sqr_binary64 |
| 481× | fma-def_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 84 |
| 1 | 14 | 75 |
| 2 | 28 | 75 |
| 3 | 50 | 75 |
| 4 | 109 | 75 |
| 5 | 311 | 75 |
| 6 | 1042 | 75 |
| 7 | 2192 | 75 |
| 8 | 2539 | 75 |
| 9 | 2731 | 75 |
| 10 | 2941 | 75 |
| 11 | 3251 | 75 |
| 12 | 3660 | 75 |
| 13 | 4145 | 75 |
| 14 | 4717 | 75 |
| 15 | 5413 | 75 |
| 16 | 6261 | 75 |
| 17 | 6654 | 75 |
| 18 | 6942 | 75 |
| 19 | 7218 | 75 |
| 20 | 7290 | 75 |
| 21 | 7326 | 75 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 2 x) |
(+.f64 (*.f64 2 x) (pow.f64 x 2)) |
(+.f64 (*.f64 2 x) (pow.f64 x 2)) |
(+.f64 (*.f64 2 x) (pow.f64 x 2)) |
(pow.f64 x 2) |
(+.f64 (*.f64 2 x) (pow.f64 x 2)) |
(+.f64 (*.f64 2 x) (pow.f64 x 2)) |
(+.f64 (*.f64 2 x) (pow.f64 x 2)) |
(pow.f64 x 2) |
(+.f64 (*.f64 2 x) (pow.f64 x 2)) |
(+.f64 (*.f64 2 x) (pow.f64 x 2)) |
(+.f64 (*.f64 2 x) (pow.f64 x 2)) |
| Outputs |
|---|
(*.f64 2 x) |
(+.f64 (*.f64 2 x) (pow.f64 x 2)) |
(fma.f64 2 x (*.f64 x x)) |
(*.f64 x (+.f64 2 x)) |
(+.f64 (*.f64 2 x) (pow.f64 x 2)) |
(fma.f64 2 x (*.f64 x x)) |
(*.f64 x (+.f64 2 x)) |
(+.f64 (*.f64 2 x) (pow.f64 x 2)) |
(fma.f64 2 x (*.f64 x x)) |
(*.f64 x (+.f64 2 x)) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (*.f64 2 x) (pow.f64 x 2)) |
(fma.f64 2 x (*.f64 x x)) |
(*.f64 x (+.f64 2 x)) |
(+.f64 (*.f64 2 x) (pow.f64 x 2)) |
(fma.f64 2 x (*.f64 x x)) |
(*.f64 x (+.f64 2 x)) |
(+.f64 (*.f64 2 x) (pow.f64 x 2)) |
(fma.f64 2 x (*.f64 x x)) |
(*.f64 x (+.f64 2 x)) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (*.f64 2 x) (pow.f64 x 2)) |
(fma.f64 2 x (*.f64 x x)) |
(*.f64 x (+.f64 2 x)) |
(+.f64 (*.f64 2 x) (pow.f64 x 2)) |
(fma.f64 2 x (*.f64 x x)) |
(*.f64 x (+.f64 2 x)) |
(+.f64 (*.f64 2 x) (pow.f64 x 2)) |
(fma.f64 2 x (*.f64 x x)) |
(*.f64 x (+.f64 2 x)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 x x) (*.f64 y y)) |
Compiled 17 to 5 computations (70.6% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (+.f64 (*.f64 x x) (*.f64 y y)) |
| 1.0ms | x | @ | inf | (+.f64 (*.f64 x x) (*.f64 y y)) |
| 0.0ms | y | @ | inf | (+.f64 (*.f64 x x) (*.f64 y y)) |
| 0.0ms | x | @ | -inf | (+.f64 (*.f64 x x) (*.f64 y y)) |
| 0.0ms | y | @ | -inf | (+.f64 (*.f64 x x) (*.f64 y y)) |
| 1× | batch-egg-rewrite |
| 650× | pow1_binary64 |
| 606× | add-log-exp_binary64 |
| 606× | log1p-expm1-u_binary64 |
| 606× | expm1-log1p-u_binary64 |
| 589× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 8 |
| 1 | 129 | 7 |
| 2 | 1751 | 7 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 x x) (*.f64 y y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (hypot.f64 x y) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 x 4) (-.f64 (*.f64 x x) (*.f64 y y))) (/.f64 (pow.f64 y 4) (-.f64 (*.f64 x x) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 x y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (hypot.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) 2)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) 2)) 2) (cbrt.f64 (pow.f64 (hypot.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 x y) (hypot.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 6) (pow.f64 y 6)) (/.f64 1 (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 y 4) (pow.f64 (*.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) (/.f64 1 (-.f64 (*.f64 x x) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 y 4) (pow.f64 (*.f64 x y) 2))) (+.f64 (pow.f64 x 6) (pow.f64 y 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (-.f64 (pow.f64 x 4) (pow.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 6) (pow.f64 y 6)) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 y 4) (pow.f64 (*.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 6) (pow.f64 y 6)) (+.f64 (pow.f64 y 4) (-.f64 (pow.f64 x 4) (pow.f64 (*.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) (-.f64 (*.f64 x x) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 6) (pow.f64 y 6))) (neg.f64 (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 y 4) (pow.f64 (*.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4))) (neg.f64 (-.f64 (*.f64 x x) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 y 4) (pow.f64 x 4)) (-.f64 (*.f64 y y) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 x y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (hypot.f64 x y) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 x y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 x y) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (hypot.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 x y) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (hypot.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y y (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x x) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y y) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 y 4)) (pow.f64 (cbrt.f64 y) 2) (*.f64 x x)))))) |
| 1× | egg-herbie |
| 1204× | sqr-pow_binary64 |
| 754× | cube-prod_binary64 |
| 743× | fabs-mul_binary64 |
| 514× | pow-sqr_binary64 |
| 346× | unpow3_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 204 |
| 1 | 16 | 168 |
| 2 | 29 | 168 |
| 3 | 47 | 168 |
| 4 | 99 | 168 |
| 5 | 295 | 168 |
| 6 | 1113 | 168 |
| 7 | 1389 | 168 |
| 8 | 1679 | 168 |
| 9 | 1930 | 168 |
| 10 | 2269 | 168 |
| 11 | 2762 | 168 |
| 12 | 3421 | 168 |
| 13 | 4211 | 168 |
| 14 | 5133 | 168 |
| 15 | 5654 | 168 |
| 16 | 6071 | 168 |
| 17 | 6462 | 168 |
| 18 | 6583 | 168 |
| 19 | 6627 | 168 |
| 20 | 7796 | 168 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 y 2) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(pow.f64 x 2) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(pow.f64 x 2) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(pow.f64 x 2) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(pow.f64 y 2) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(pow.f64 y 2) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
| Outputs |
|---|
(pow.f64 y 2) |
(*.f64 y y) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (*.f64 y y) (*.f64 x x)) |
(fma.f64 y y (*.f64 x x)) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (*.f64 y y) (*.f64 x x)) |
(fma.f64 y y (*.f64 x x)) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (*.f64 y y) (*.f64 x x)) |
(fma.f64 y y (*.f64 x x)) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (*.f64 y y) (*.f64 x x)) |
(fma.f64 y y (*.f64 x x)) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (*.f64 y y) (*.f64 x x)) |
(fma.f64 y y (*.f64 x x)) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (*.f64 y y) (*.f64 x x)) |
(fma.f64 y y (*.f64 x x)) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (*.f64 y y) (*.f64 x x)) |
(fma.f64 y y (*.f64 x x)) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (*.f64 y y) (*.f64 x x)) |
(fma.f64 y y (*.f64 x x)) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (*.f64 y y) (*.f64 x x)) |
(fma.f64 y y (*.f64 x x)) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (*.f64 y y) (*.f64 x x)) |
(fma.f64 y y (*.f64 x x)) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (*.f64 y y) (*.f64 x x)) |
(fma.f64 y y (*.f64 x x)) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (*.f64 y y) (*.f64 x x)) |
(fma.f64 y y (*.f64 x x)) |
(pow.f64 y 2) |
(*.f64 y y) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (*.f64 y y) (*.f64 x x)) |
(fma.f64 y y (*.f64 x x)) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (*.f64 y y) (*.f64 x x)) |
(fma.f64 y y (*.f64 x x)) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (*.f64 y y) (*.f64 x x)) |
(fma.f64 y y (*.f64 x x)) |
(pow.f64 y 2) |
(*.f64 y y) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (*.f64 y y) (*.f64 x x)) |
(fma.f64 y y (*.f64 x x)) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (*.f64 y y) (*.f64 x x)) |
(fma.f64 y y (*.f64 x x)) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (*.f64 y y) (*.f64 x x)) |
(fma.f64 y y (*.f64 x x)) |
Compiled 593 to 347 computations (41.5% saved)
8 alts after pruning (3 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 57 | 3 | 60 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 2 | 4 | 6 |
| Total | 59 | 8 | 67 |
| Status | Error | Program |
|---|---|---|
| ▶ | 27.6b | (+.f64 (*.f64 x x) (*.f64 2 x)) |
| ✓ | 34.7b | (*.f64 y y) |
| ✓ | 19.2b | (+.f64 (*.f64 x x) (*.f64 y y)) |
| ▶ | 44.3b | (*.f64 2 x) |
| ✓ | 16.8b | (+.f64 (*.f64 2 x) (*.f64 y y)) |
| ✓ | 27.6b | (*.f64 (+.f64 2 x) x) |
| ▶ | 19.2b | (fma.f64 x x (*.f64 y y)) |
| ✓ | 46.1b | (*.f64 x x) |
Compiled 57 to 36 computations (36.8% saved)
Compiled 7 to 5 computations (28.6% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 x x) (*.f64 2 x)) |
Compiled 17 to 9 computations (47.1% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (+.f64 (*.f64 x x) (*.f64 2 x)) |
| 1.0ms | x | @ | inf | (+.f64 (*.f64 x x) (*.f64 2 x)) |
| 0.0ms | x | @ | -inf | (+.f64 (*.f64 x x) (*.f64 2 x)) |
| 1× | batch-egg-rewrite |
| 683× | pow1_binary64 |
| 641× | add-log-exp_binary64 |
| 640× | log1p-expm1-u_binary64 |
| 640× | expm1-log1p-u_binary64 |
| 627× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 133 | 7 |
| 2 | 1793 | 7 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 x x) (*.f64 2 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (+.f64 x 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 x 4) (*.f64 x (-.f64 x 2))) (/.f64 (*.f64 (*.f64 x x) 4) (*.f64 x (-.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (+.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2) (cbrt.f64 (*.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 x (sqrt.f64 (*.f64 x 2))) (hypot.f64 x (sqrt.f64 (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) 8)) (/.f64 1 (+.f64 (pow.f64 x 4) (-.f64 (*.f64 (*.f64 x x) 4) (*.f64 (pow.f64 x 3) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 4) (*.f64 (*.f64 x x) 4)) (/.f64 1 (*.f64 x (-.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (-.f64 (*.f64 (*.f64 x x) 4) (*.f64 (pow.f64 x 3) 2))) (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) 8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x (-.f64 x 2)) (-.f64 (pow.f64 x 4) (*.f64 (*.f64 x x) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) 8)) (+.f64 (pow.f64 x 4) (-.f64 (*.f64 (*.f64 x x) 4) (*.f64 (pow.f64 x 3) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) 8)) (+.f64 (*.f64 (*.f64 x x) 4) (-.f64 (pow.f64 x 4) (*.f64 (pow.f64 x 3) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 4) (*.f64 (*.f64 x x) 4)) (*.f64 x (-.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) 8))) (neg.f64 (+.f64 (pow.f64 x 4) (-.f64 (*.f64 (*.f64 x x) 4) (*.f64 (pow.f64 x 3) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 4) (*.f64 (*.f64 x x) 4))) (neg.f64 (*.f64 x (-.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x x) 4) (pow.f64 x 4)) (-.f64 (*.f64 x 2) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (+.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 x (sqrt.f64 (*.f64 x 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x (*.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 2 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 x (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x x) (*.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 2) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 x x)) (*.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2) (cbrt.f64 (*.f64 x 2)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 2)) (sqrt.f64 (*.f64 x 2)) (*.f64 x x)))))) |
| 1× | egg-herbie |
| 1082× | sqr-pow_binary64 |
| 560× | cube-prod_binary64 |
| 556× | fabs-mul_binary64 |
| 523× | pow-sqr_binary64 |
| 481× | fma-def_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 84 |
| 1 | 14 | 75 |
| 2 | 28 | 75 |
| 3 | 50 | 75 |
| 4 | 109 | 75 |
| 5 | 311 | 75 |
| 6 | 1042 | 75 |
| 7 | 2192 | 75 |
| 8 | 2539 | 75 |
| 9 | 2731 | 75 |
| 10 | 2941 | 75 |
| 11 | 3251 | 75 |
| 12 | 3660 | 75 |
| 13 | 4145 | 75 |
| 14 | 4717 | 75 |
| 15 | 5413 | 75 |
| 16 | 6261 | 75 |
| 17 | 6654 | 75 |
| 18 | 6942 | 75 |
| 19 | 7218 | 75 |
| 20 | 7290 | 75 |
| 21 | 7326 | 75 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 2 x) |
(+.f64 (*.f64 2 x) (pow.f64 x 2)) |
(+.f64 (*.f64 2 x) (pow.f64 x 2)) |
(+.f64 (*.f64 2 x) (pow.f64 x 2)) |
(pow.f64 x 2) |
(+.f64 (*.f64 2 x) (pow.f64 x 2)) |
(+.f64 (*.f64 2 x) (pow.f64 x 2)) |
(+.f64 (*.f64 2 x) (pow.f64 x 2)) |
(pow.f64 x 2) |
(+.f64 (*.f64 2 x) (pow.f64 x 2)) |
(+.f64 (*.f64 2 x) (pow.f64 x 2)) |
(+.f64 (*.f64 2 x) (pow.f64 x 2)) |
| Outputs |
|---|
(*.f64 2 x) |
(+.f64 (*.f64 2 x) (pow.f64 x 2)) |
(fma.f64 2 x (*.f64 x x)) |
(*.f64 x (+.f64 2 x)) |
(+.f64 (*.f64 2 x) (pow.f64 x 2)) |
(fma.f64 2 x (*.f64 x x)) |
(*.f64 x (+.f64 2 x)) |
(+.f64 (*.f64 2 x) (pow.f64 x 2)) |
(fma.f64 2 x (*.f64 x x)) |
(*.f64 x (+.f64 2 x)) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (*.f64 2 x) (pow.f64 x 2)) |
(fma.f64 2 x (*.f64 x x)) |
(*.f64 x (+.f64 2 x)) |
(+.f64 (*.f64 2 x) (pow.f64 x 2)) |
(fma.f64 2 x (*.f64 x x)) |
(*.f64 x (+.f64 2 x)) |
(+.f64 (*.f64 2 x) (pow.f64 x 2)) |
(fma.f64 2 x (*.f64 x x)) |
(*.f64 x (+.f64 2 x)) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (*.f64 2 x) (pow.f64 x 2)) |
(fma.f64 2 x (*.f64 x x)) |
(*.f64 x (+.f64 2 x)) |
(+.f64 (*.f64 2 x) (pow.f64 x 2)) |
(fma.f64 2 x (*.f64 x x)) |
(*.f64 x (+.f64 2 x)) |
(+.f64 (*.f64 2 x) (pow.f64 x 2)) |
(fma.f64 2 x (*.f64 x x)) |
(*.f64 x (+.f64 2 x)) |
Compiled 13 to 4 computations (69.2% saved)
Compiled 502 to 333 computations (33.7% saved)
8 alts after pruning (0 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 44 | 0 | 44 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 7 | 7 |
| Total | 44 | 8 | 52 |
| Status | Error | Program |
|---|---|---|
| ✓ | 27.6b | (+.f64 (*.f64 x x) (*.f64 2 x)) |
| ✓ | 34.7b | (*.f64 y y) |
| ✓ | 19.2b | (+.f64 (*.f64 x x) (*.f64 y y)) |
| ✓ | 44.3b | (*.f64 2 x) |
| ✓ | 16.8b | (+.f64 (*.f64 2 x) (*.f64 y y)) |
| ✓ | 27.6b | (*.f64 (+.f64 2 x) x) |
| ✓ | 19.2b | (fma.f64 x x (*.f64 y y)) |
| ✓ | 46.1b | (*.f64 x x) |
Compiled 57 to 36 computations (36.8% saved)
| Inputs |
|---|
(*.f64 2 x) |
(*.f64 y y) |
(*.f64 x x) |
(*.f64 (+.f64 2 x) x) |
(+.f64 (*.f64 x x) (*.f64 2 x)) |
(+.f64 (*.f64 x x) (*.f64 y y)) |
(+.f64 (*.f64 2 x) (*.f64 y y)) |
(+.f64 (+.f64 (*.f64 x 2) (*.f64 x x)) (*.f64 y y)) |
(fma.f64 x x (*.f64 y y)) |
(fma.f64 x (+.f64 x 2) (*.f64 y y)) |
| Outputs |
|---|
(fma.f64 x (+.f64 x 2) (*.f64 y y)) |
6 calls:
| 74.0ms | y |
| 16.0ms | (*.f64 y y) |
| 9.0ms | (+.f64 (*.f64 x 2) (*.f64 x x)) |
| 8.0ms | (+.f64 (*.f64 x 2) (*.f64 x x)) |
| 8.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | x |
| 0.0b | 1 | y |
| 0.0b | 1 | (+.f64 (+.f64 (*.f64 x 2) (*.f64 x x)) (*.f64 y y)) |
| 0.0b | 1 | (+.f64 (*.f64 x 2) (*.f64 x x)) |
| 0.0b | 1 | (+.f64 (*.f64 x 2) (*.f64 x x)) |
| 0.0b | 1 | (*.f64 y y) |
Compiled 104 to 51 computations (51% saved)
| Inputs |
|---|
(*.f64 2 x) |
(*.f64 y y) |
(*.f64 x x) |
(*.f64 (+.f64 2 x) x) |
(+.f64 (*.f64 x x) (*.f64 2 x)) |
(+.f64 (*.f64 x x) (*.f64 y y)) |
(+.f64 (*.f64 2 x) (*.f64 y y)) |
(+.f64 (+.f64 (*.f64 x 2) (*.f64 x x)) (*.f64 y y)) |
(fma.f64 x x (*.f64 y y)) |
| Outputs |
|---|
(+.f64 (+.f64 (*.f64 x 2) (*.f64 x x)) (*.f64 y y)) |
5 calls:
| 168.0ms | y |
| 9.0ms | (+.f64 (*.f64 x 2) (*.f64 x x)) |
| 6.0ms | (+.f64 (+.f64 (*.f64 x 2) (*.f64 x x)) (*.f64 y y)) |
| 6.0ms | x |
| 5.0ms | (*.f64 y y) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | x |
| 0.0b | 1 | y |
| 0.0b | 1 | (+.f64 (+.f64 (*.f64 x 2) (*.f64 x x)) (*.f64 y y)) |
| 0.0b | 1 | (+.f64 (*.f64 x 2) (*.f64 x x)) |
| 0.0b | 1 | (*.f64 y y) |
Compiled 87 to 42 computations (51.7% saved)
| Inputs |
|---|
(*.f64 2 x) |
(*.f64 y y) |
(*.f64 x x) |
(*.f64 (+.f64 2 x) x) |
(+.f64 (*.f64 x x) (*.f64 2 x)) |
(+.f64 (*.f64 x x) (*.f64 y y)) |
(+.f64 (*.f64 2 x) (*.f64 y y)) |
| Outputs |
|---|
(+.f64 (*.f64 x x) (*.f64 y y)) |
(+.f64 (*.f64 2 x) (*.f64 y y)) |
(+.f64 (*.f64 x x) (*.f64 y y)) |
3 calls:
| 163.0ms | y |
| 16.0ms | x |
| 10.0ms | (*.f64 y y) |
| Error | Segments | Branch |
|---|---|---|
| 1.6b | 3 | x |
| 2.1b | 3 | y |
| 2.3b | 2 | (*.f64 y y) |
Compiled 48 to 23 computations (52.1% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 269.0ms | 2.653666071327896e-11 | 7.642671166661549 |
| 177.0ms | -7798.089763353559 | -59.42469275338465 |
Compiled 18 to 12 computations (33.3% saved)
| Inputs |
|---|
(*.f64 2 x) |
(*.f64 y y) |
(*.f64 x x) |
(*.f64 (+.f64 2 x) x) |
(+.f64 (*.f64 x x) (*.f64 2 x)) |
(+.f64 (*.f64 x x) (*.f64 y y)) |
| Outputs |
|---|
(+.f64 (*.f64 x x) (*.f64 y y)) |
(+.f64 (*.f64 x x) (*.f64 2 x)) |
(+.f64 (*.f64 x x) (*.f64 y y)) |
3 calls:
| 59.0ms | x |
| 31.0ms | y |
| 21.0ms | (*.f64 y y) |
| Error | Segments | Branch |
|---|---|---|
| 13.9b | 7 | x |
| 2.1b | 3 | y |
| 2.3b | 2 | (*.f64 y y) |
Compiled 41 to 20 computations (51.2% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 1.4999802173120513e-87 | 1.8827211628113101e-81 |
| 19.0ms | -1.1593907907873194e-53 | -6.002566801243023e-56 |
Compiled 18 to 12 computations (33.3% saved)
| Inputs |
|---|
(*.f64 2 x) |
(*.f64 y y) |
(*.f64 x x) |
(*.f64 (+.f64 2 x) x) |
(+.f64 (*.f64 x x) (*.f64 2 x)) |
| Outputs |
|---|
(*.f64 y y) |
(*.f64 (+.f64 2 x) x) |
(*.f64 y y) |
(+.f64 (*.f64 x x) (*.f64 2 x)) |
(*.f64 y y) |
3 calls:
| 36.0ms | x |
| 21.0ms | y |
| 11.0ms | (*.f64 y y) |
| Error | Segments | Branch |
|---|---|---|
| 16.6b | 9 | x |
| 5.7b | 5 | y |
| 6.1b | 4 | (*.f64 y y) |
Compiled 34 to 19 computations (44.1% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 31.0ms | 1.0909908214281765e-48 | 9.206629707002561e-41 |
| 20.0ms | -1.1593907907873194e-53 | -6.002566801243023e-56 |
| 54.0ms | -4.242225852482202e-12 | -3.375563927982765e-12 |
| 19.0ms | -215985320980887.78 | -9103.933062544867 |
Compiled 18 to 12 computations (33.3% saved)
| Inputs |
|---|
(*.f64 2 x) |
(*.f64 y y) |
(*.f64 x x) |
(*.f64 (+.f64 2 x) x) |
| Outputs |
|---|
(*.f64 y y) |
(*.f64 (+.f64 2 x) x) |
(*.f64 y y) |
(*.f64 (+.f64 2 x) x) |
(*.f64 y y) |
3 calls:
| 91.0ms | x |
| 77.0ms | (*.f64 y y) |
| 47.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 16.6b | 9 | x |
| 5.7b | 5 | y |
| 6.1b | 4 | (*.f64 y y) |
Compiled 27 to 16 computations (40.7% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 35.0ms | 1.0909908214281765e-48 | 9.206629707002561e-41 |
| 78.0ms | -1.1593907907873194e-53 | -6.002566801243023e-56 |
| 59.0ms | -4.242225852482202e-12 | -3.375563927982765e-12 |
| 60.0ms | -215985320980887.78 | -9103.933062544867 |
Compiled 18 to 12 computations (33.3% saved)
| Inputs |
|---|
(*.f64 2 x) |
(*.f64 y y) |
(*.f64 x x) |
| Outputs |
|---|
(*.f64 y y) |
(*.f64 x x) |
(*.f64 y y) |
(*.f64 x x) |
(*.f64 2 x) |
(*.f64 x x) |
(*.f64 y y) |
3 calls:
| 99.0ms | y |
| 61.0ms | (*.f64 y y) |
| 38.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 17.2b | 12 | x |
| 14.5b | 7 | y |
| 15.8b | 5 | (*.f64 y y) |
Compiled 22 to 13 computations (40.9% saved)
| 6× | binary-search |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 1.7831774463707052e-78 | 2.2536377683369477e-77 |
| 19.0ms | 4.617822764299996e-140 | 1.017587659903881e-136 |
| 22.0ms | -4.390927486027955e-94 | -3.4764441599046574e-97 |
| 20.0ms | -1.1593907907873194e-53 | -6.002566801243023e-56 |
| 21.0ms | -4.242225852482202e-12 | -3.375563927982765e-12 |
| 22.0ms | -215985320980887.78 | -9103.933062544867 |
Compiled 18 to 12 computations (33.3% saved)
Total -43.1b remaining (-231.6%)
Threshold costs -43.1b (-231.6%)
| Inputs |
|---|
(*.f64 2 x) |
(*.f64 y y) |
| Outputs |
|---|
(*.f64 y y) |
(*.f64 2 x) |
(*.f64 y y) |
3 calls:
| 24.0ms | x |
| 9.0ms | y |
| 7.0ms | (*.f64 y y) |
| Error | Segments | Branch |
|---|---|---|
| 29.5b | 7 | x |
| 18.6b | 3 | y |
| 18.9b | 2 | (*.f64 y y) |
Compiled 19 to 12 computations (36.8% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 1.8827211628113101e-81 | 1.629031281293684e-79 |
| 17.0ms | -7.778144112658781e-92 | -4.390927486027955e-94 |
Compiled 18 to 12 computations (33.3% saved)
| 1× | egg-herbie |
| 5× | +-commutative_binary64 |
| 2× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 306 |
| 1 | 70 | 306 |
| 1× | done |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 x (+.f64 x 2) (*.f64 y y)) |
(+.f64 (+.f64 (*.f64 x 2) (*.f64 x x)) (*.f64 y y)) |
(if (<=.f64 x -4287045184624117/549755813888) (+.f64 (*.f64 x x) (*.f64 y y)) (if (<=.f64 x 2102450867577559296/79228162514264337593543950336) (+.f64 (*.f64 2 x) (*.f64 y y)) (+.f64 (*.f64 x x) (*.f64 y y)))) |
(if (<=.f64 y -2500569110880939/215679573337205118357336120696157045389097155380324579848828881993728) (+.f64 (*.f64 x x) (*.f64 y y)) (if (<=.f64 y 13760810209670705152/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (+.f64 (*.f64 x x) (*.f64 2 x)) (+.f64 (*.f64 x x) (*.f64 y y)))) |
(if (<=.f64 y -6911530271388409/32) (*.f64 y y) (if (<=.f64 y -336103759262673472/79228162514264337593543950336) (*.f64 (+.f64 2 x) x) (if (<=.f64 y -2500569110880939/215679573337205118357336120696157045389097155380324579848828881993728) (*.f64 y y) (if (<=.f64 y 3590460737311341/3291009114642412084309938365114701009965471731267159726697218048) (+.f64 (*.f64 x x) (*.f64 2 x)) (*.f64 y y))))) |
(if (<=.f64 y -6911530271388409/32) (*.f64 y y) (if (<=.f64 y -336103759262673472/79228162514264337593543950336) (*.f64 (+.f64 2 x) x) (if (<=.f64 y -2500569110880939/215679573337205118357336120696157045389097155380324579848828881993728) (*.f64 y y) (if (<=.f64 y 3590460737311341/3291009114642412084309938365114701009965471731267159726697218048) (*.f64 (+.f64 2 x) x) (*.f64 y y))))) |
(if (<=.f64 y -6911530271388409/32) (*.f64 y y) (if (<=.f64 y -336103759262673472/79228162514264337593543950336) (*.f64 x x) (if (<=.f64 y -2500569110880939/215679573337205118357336120696157045389097155380324579848828881993728) (*.f64 y y) (if (<=.f64 y -4124912071523483/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904) (*.f64 x x) (if (<=.f64 y 2476595227130037/53631231719770388398296099992823384509917463282369573510894245774887056120294187907207497192667613710760127432745944203415015531247786279785734596024336384) (*.f64 2 x) (if (<=.f64 y 3808843908194380288/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (*.f64 x x) (*.f64 y y))))))) |
(if (<=.f64 y -1427133020588339/18347988927920572092886567162416695526372519913346248989900710715095383008707878464560148424881005492436992) (*.f64 y y) (if (<=.f64 y 8042935992037799/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152) (*.f64 2 x) (*.f64 y y))) |
(*.f64 2 x) |
| Outputs |
|---|
(fma.f64 x (+.f64 x 2) (*.f64 y y)) |
(+.f64 (+.f64 (*.f64 x 2) (*.f64 x x)) (*.f64 y y)) |
(+.f64 (*.f64 y y) (+.f64 (*.f64 x x) (*.f64 x 2))) |
(if (<=.f64 x -4287045184624117/549755813888) (+.f64 (*.f64 x x) (*.f64 y y)) (if (<=.f64 x 2102450867577559296/79228162514264337593543950336) (+.f64 (*.f64 2 x) (*.f64 y y)) (+.f64 (*.f64 x x) (*.f64 y y)))) |
(if (<=.f64 x -4287045184624117/549755813888) (+.f64 (*.f64 y y) (*.f64 x x)) (if (<=.f64 x 8212698701474841/309485009821345068724781056) (+.f64 (*.f64 y y) (*.f64 x 2)) (+.f64 (*.f64 y y) (*.f64 x x)))) |
(if (<=.f64 y -2500569110880939/215679573337205118357336120696157045389097155380324579848828881993728) (+.f64 (*.f64 x x) (*.f64 y y)) (if (<=.f64 y 13760810209670705152/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (+.f64 (*.f64 x x) (*.f64 2 x)) (+.f64 (*.f64 x x) (*.f64 y y)))) |
(if (<=.f64 y -2500569110880939/215679573337205118357336120696157045389097155380324579848828881993728) (+.f64 (*.f64 y y) (*.f64 x x)) (if (<=.f64 y 3359572805095387/2239744742177804210557442280568444278121645497234649534899989100963791871180160945380877493271607115776) (+.f64 (*.f64 x x) (*.f64 x 2)) (+.f64 (*.f64 y y) (*.f64 x x)))) |
(if (<=.f64 y -6911530271388409/32) (*.f64 y y) (if (<=.f64 y -336103759262673472/79228162514264337593543950336) (*.f64 (+.f64 2 x) x) (if (<=.f64 y -2500569110880939/215679573337205118357336120696157045389097155380324579848828881993728) (*.f64 y y) (if (<=.f64 y 3590460737311341/3291009114642412084309938365114701009965471731267159726697218048) (+.f64 (*.f64 x x) (*.f64 2 x)) (*.f64 y y))))) |
(if (<=.f64 y -6911530271388409/32) (*.f64 y y) (if (<=.f64 y -5251621238479273/1237940039285380274899124224) (*.f64 x (+.f64 x 2)) (if (<=.f64 y -2500569110880939/215679573337205118357336120696157045389097155380324579848828881993728) (*.f64 y y) (if (<=.f64 y 3590460737311341/3291009114642412084309938365114701009965471731267159726697218048) (+.f64 (*.f64 x x) (*.f64 x 2)) (*.f64 y y))))) |
(if (<=.f64 y -6911530271388409/32) (*.f64 y y) (if (<=.f64 y -336103759262673472/79228162514264337593543950336) (*.f64 (+.f64 2 x) x) (if (<=.f64 y -2500569110880939/215679573337205118357336120696157045389097155380324579848828881993728) (*.f64 y y) (if (<=.f64 y 3590460737311341/3291009114642412084309938365114701009965471731267159726697218048) (*.f64 (+.f64 2 x) x) (*.f64 y y))))) |
(if (<=.f64 y -6911530271388409/32) (*.f64 y y) (if (<=.f64 y -5251621238479273/1237940039285380274899124224) (*.f64 x (+.f64 x 2)) (if (<=.f64 y -2500569110880939/215679573337205118357336120696157045389097155380324579848828881993728) (*.f64 y y) (if (<=.f64 y 3590460737311341/3291009114642412084309938365114701009965471731267159726697218048) (*.f64 x (+.f64 x 2)) (*.f64 y y))))) |
(if (<=.f64 y -6911530271388409/32) (*.f64 y y) (if (<=.f64 y -336103759262673472/79228162514264337593543950336) (*.f64 x x) (if (<=.f64 y -2500569110880939/215679573337205118357336120696157045389097155380324579848828881993728) (*.f64 y y) (if (<=.f64 y -4124912071523483/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904) (*.f64 x x) (if (<=.f64 y 2476595227130037/53631231719770388398296099992823384509917463282369573510894245774887056120294187907207497192667613710760127432745944203415015531247786279785734596024336384) (*.f64 2 x) (if (<=.f64 y 3808843908194380288/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (*.f64 x x) (*.f64 y y))))))) |
(if (<=.f64 y -6911530271388409/32) (*.f64 y y) (if (<=.f64 y -5251621238479273/1237940039285380274899124224) (*.f64 x x) (if (<=.f64 y -2500569110880939/215679573337205118357336120696157045389097155380324579848828881993728) (*.f64 y y) (if (<=.f64 y -4124912071523483/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904) (*.f64 x x) (if (<=.f64 y 2476595227130037/53631231719770388398296099992823384509917463282369573510894245774887056120294187907207497192667613710760127432745944203415015531247786279785734596024336384) (*.f64 x 2) (if (<=.f64 y 7439148258192149/4171849679533027504677776769862406473833407270227837441302815640277772901915313574263597826048) (*.f64 x x) (*.f64 y y))))))) |
(if (<=.f64 y -1427133020588339/18347988927920572092886567162416695526372519913346248989900710715095383008707878464560148424881005492436992) (*.f64 y y) (if (<=.f64 y 8042935992037799/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152) (*.f64 2 x) (*.f64 y y))) |
(if (<=.f64 y -1427133020588339/18347988927920572092886567162416695526372519913346248989900710715095383008707878464560148424881005492436992) (*.f64 y y) (if (<=.f64 y 8042935992037799/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152) (*.f64 x 2) (*.f64 y y))) |
(*.f64 2 x) |
(*.f64 x 2) |
Compiled 232 to 124 computations (46.6% saved)
| 1× | egg-herbie |
| 14× | fma-def_binary64 |
| 6× | +-commutative_binary64 |
| 3× | associate-+r+_binary64 |
| 3× | associate-+l+_binary64 |
| 2× | *-commutative_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 13 |
| 1 | 17 | 11 |
| 2 | 34 | 11 |
| 3 | 42 | 11 |
| 1× | saturated |
Compiled 44 to 27 computations (38.6% saved)
Compiled 216 to 96 computations (55.6% saved)
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