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 |
| 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 |
Compiled 15 to 9 computations (40% saved)
| 1.0s | 7785× | body | 256 | valid |
| 51.0ms | 202× | body | 1024 | valid |
| 34.0ms | 181× | body | 512 | valid |
| 26.0ms | 88× | body | 2048 | valid |
| 1.0ms | 13× | body | 256 | invalid |
| 2× | egg-herbie |
| 330× | associate-+l+_binary64 |
| 163× | associate-+r+_binary64 |
| 158× | fma-def_binary64 |
| 26× | +-commutative_binary64 |
| 9× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 64 |
| 1 | 73 | 52 |
| 2 | 204 | 44 |
| 3 | 542 | 44 |
| 4 | 755 | 36 |
| 5 | 789 | 36 |
| 6 | 806 | 36 |
| 7 | 806 | 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 x (+.f64 (+.f64 x (+.f64 y y)) (+.f64 x z))) |
(+.f64 x (+.f64 (*.f64 2 (+.f64 x y)) z)) |
(+.f64 z (fma.f64 2 (+.f64 x y) x)) |
(+.f64 (fma.f64 y 2 z) (*.f64 3 x)) |
(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 (+.f64 x (+.f64 x (+.f64 y y))) (+.f64 y z)) |
(+.f64 y (+.f64 (*.f64 2 (+.f64 x y)) z)) |
(+.f64 z (fma.f64 2 (+.f64 x y) y)) |
(+.f64 (fma.f64 x 2 z) (*.f64 3 y)) |
(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 z (+.f64 x (*.f64 2 (+.f64 y z)))) |
(+.f64 x (fma.f64 2 (+.f64 y z) z)) |
(+.f64 x (fma.f64 (+.f64 y z) 2 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)))) |
(fma.f64 2 (+.f64 x z) (+.f64 x y)) |
(+.f64 (fma.f64 z 2 y) (*.f64 3 x)) |
(fma.f64 3 x (fma.f64 z 2 y)) |
(fma.f64 x 3 (fma.f64 z 2 y)) |
Compiled 17 to 11 computations (35.3% saved)
| 1× | egg-herbie |
| 123× | associate-+l+_binary64 |
| 65× | associate-+r+_binary64 |
| 54× | fma-def_binary64 |
| 16× | +-commutative_binary64 |
| 4× | *-commutative_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 16 |
| 1 | 22 | 13 |
| 2 | 67 | 11 |
| 3 | 177 | 11 |
| 4 | 297 | 9 |
| 5 | 323 | 9 |
| 6 | 329 | 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 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 y 2 (fma.f64 3 x z)) |
(fma.f64 x 3 (fma.f64 y 2 z)) |
Compiled 21 to 12 computations (42.9% 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 |
|---|---|---|
| ▶ | 0b | (fma.f64 x 3 (fma.f64 y 2 z)) |
| ▶ | 0.1b | (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) |
Compiled 24 to 15 computations (37.5% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) |
| ✓ | 0.0b | (+.f64 (+.f64 x y) y) |
| ✓ | 0.0b | (+.f64 (+.f64 (+.f64 x y) y) x) |
Compiled 41 to 8 computations (80.5% saved)
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | z | @ | inf | (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) |
| 1.0ms | y | @ | inf | (+.f64 (+.f64 (+.f64 x y) y) x) |
| 1.0ms | z | @ | 0 | (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) |
| 1.0ms | x | @ | inf | (+.f64 (+.f64 (+.f64 x y) y) x) |
| 1.0ms | x | @ | 0 | (+.f64 (+.f64 (+.f64 x y) y) x) |
| 1× | batch-egg-rewrite |
| 583× | log-prod_binary64 |
| 540× | fma-neg_binary64 |
| 228× | expm1-udef_binary64 |
| 228× | log1p-udef_binary64 |
| 217× | pow3_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 33 |
| 1 | 233 | 27 |
| 2 | 4117 | 27 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (+.f64 (+.f64 x y) y) x) |
(+.f64 (+.f64 x y) y) |
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x y) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 x (+.f64 y y)) 2) (+.f64 (+.f64 x y) (-.f64 y x))) (/.f64 (*.f64 x x) (+.f64 (+.f64 x y) (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (+.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (+.f64 x y) 2)) (pow.f64 (cbrt.f64 (*.f64 (+.f64 x y) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x y) 2)) 2) (cbrt.f64 (*.f64 (+.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x y)) (+.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 2)) (cbrt.f64 (pow.f64 (+.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 2)) (+.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (+.f64 x y) 2)) (sqrt.f64 (*.f64 (+.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x y)) (+.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (+.f64 y y)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x (+.f64 y y)) 2) (*.f64 x (-.f64 x (+.f64 x (+.f64 y y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 x (+.f64 y y)) 2) (*.f64 x x)) (/.f64 1 (+.f64 (+.f64 x y) (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x (+.f64 y y)) 2) (*.f64 x (-.f64 x (+.f64 x (+.f64 y y))))) (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (+.f64 y y)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (+.f64 x y) (-.f64 y x)) (-.f64 (pow.f64 (+.f64 x (+.f64 y y)) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (+.f64 y y)) 3)) (+.f64 (pow.f64 (+.f64 x (+.f64 y y)) 2) (*.f64 x (-.f64 x (+.f64 x (+.f64 y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (+.f64 y y)) 3)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (+.f64 x (+.f64 y y)) 2) (*.f64 x (+.f64 x (+.f64 y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x (+.f64 y y)) 2) (*.f64 x x)) (+.f64 (+.f64 x y) (-.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (+.f64 y y)) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 x (+.f64 y y)) 2) (*.f64 x (-.f64 x (+.f64 x (+.f64 y y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x (+.f64 y y)) 2) (*.f64 x x))) (neg.f64 (+.f64 (+.f64 x y) (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 x x (*.f64 y (-.f64 y x)))) (*.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (+.f64 (pow.f64 x 3) (pow.f64 y 3)))) (*.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (fma.f64 x x (*.f64 y (-.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (fma.f64 x x (*.f64 y (-.f64 y x)))) (*.f64 (-.f64 x y) (+.f64 (pow.f64 x 3) (pow.f64 y 3)))) (*.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (-.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) (-.f64 x y)) (*.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (-.f64 (*.f64 x x) (*.f64 y y)))) (*.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (-.f64 x y)) (*.f64 (-.f64 x y) (-.f64 (*.f64 x x) (*.f64 y y)))) (*.f64 (-.f64 x y) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (+.f64 x y) 3)) (+.f64 (pow.f64 (+.f64 x y) 2) (-.f64 (pow.f64 (+.f64 x y) 2) (pow.f64 (+.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x y) 2) (pow.f64 (+.f64 x y) 2)) (-.f64 (+.f64 x y) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (+.f64 y y)) 2)) (-.f64 x (+.f64 x (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 x y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 x y) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 x y) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 x y) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x (+.f64 y y)) 2) (*.f64 x (-.f64 x (+.f64 x (+.f64 y y))))) (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (+.f64 y y)) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (+.f64 x y) (-.f64 y x)) (-.f64 (pow.f64 (+.f64 x (+.f64 y y)) 2) (*.f64 x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 x y) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (+.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (+.f64 x (+.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (+.f64 x (+.f64 y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (+.f64 x (+.f64 y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x y))) (exp.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (+.f64 x y)) (+.f64 1 (expm1.f64 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x y))) (+.f64 1 (expm1.f64 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x (+.f64 y y)))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (+.f64 x (+.f64 y y))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x (+.f64 y y)))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 x y) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x y) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (+.f64 x (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x y) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x (+.f64 y y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 y y))) 2) (cbrt.f64 (+.f64 x (+.f64 y y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 x (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 2)) (cbrt.f64 (+.f64 x y)) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x (+.f64 y y))) (sqrt.f64 (+.f64 x (+.f64 y y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 x (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)) (+.f64 x y)))))) |
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| 1× | egg-herbie |
| 42× | fma-def_binary64 |
| 21× | associate-+l+_binary64 |
| 15× | associate-+r+_binary64 |
| 14× | +-commutative_binary64 |
| 5× | *-commutative_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 537 |
| 1 | 59 | 536 |
| 2 | 108 | 534 |
| 3 | 126 | 534 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 2 y) |
(+.f64 (*.f64 2 x) (*.f64 2 y)) |
(+.f64 (*.f64 2 x) (*.f64 2 y)) |
(+.f64 (*.f64 2 x) (*.f64 2 y)) |
(*.f64 2 x) |
(+.f64 (*.f64 2 y) (*.f64 2 x)) |
(+.f64 (*.f64 2 y) (*.f64 2 x)) |
(+.f64 (*.f64 2 y) (*.f64 2 x)) |
(*.f64 2 x) |
(+.f64 (*.f64 2 y) (*.f64 2 x)) |
(+.f64 (*.f64 2 y) (*.f64 2 x)) |
(+.f64 (*.f64 2 y) (*.f64 2 x)) |
(*.f64 2 x) |
(+.f64 (*.f64 2 y) (*.f64 2 x)) |
(+.f64 (*.f64 2 y) (*.f64 2 x)) |
(+.f64 (*.f64 2 y) (*.f64 2 x)) |
(*.f64 2 y) |
(+.f64 (*.f64 2 x) (*.f64 2 y)) |
(+.f64 (*.f64 2 x) (*.f64 2 y)) |
(+.f64 (*.f64 2 x) (*.f64 2 y)) |
(*.f64 2 y) |
(+.f64 (*.f64 2 x) (*.f64 2 y)) |
(+.f64 (*.f64 2 x) (*.f64 2 y)) |
(+.f64 (*.f64 2 x) (*.f64 2 y)) |
(*.f64 2 y) |
(+.f64 (*.f64 2 y) x) |
(+.f64 (*.f64 2 y) x) |
(+.f64 (*.f64 2 y) x) |
x |
(+.f64 (*.f64 2 y) x) |
(+.f64 (*.f64 2 y) x) |
(+.f64 (*.f64 2 y) x) |
x |
(+.f64 (*.f64 2 y) x) |
(+.f64 (*.f64 2 y) x) |
(+.f64 (*.f64 2 y) x) |
x |
(+.f64 (*.f64 2 y) x) |
(+.f64 (*.f64 2 y) x) |
(+.f64 (*.f64 2 y) x) |
(*.f64 2 y) |
(+.f64 (*.f64 2 y) x) |
(+.f64 (*.f64 2 y) x) |
(+.f64 (*.f64 2 y) x) |
(*.f64 2 y) |
(+.f64 (*.f64 2 y) x) |
(+.f64 (*.f64 2 y) x) |
(+.f64 (*.f64 2 y) 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 (*.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 2 x) (+.f64 z x)) |
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 x) (+.f64 z x))) |
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 x) (+.f64 z x))) |
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 x) (+.f64 z x))) |
(*.f64 2 y) |
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x))) |
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x))) |
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x))) |
(*.f64 2 y) |
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x))) |
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x))) |
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x))) |
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 x) x)) |
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x))) |
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x))) |
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x))) |
z |
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x))) |
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x))) |
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x))) |
z |
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x))) |
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x))) |
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x))) |
| Outputs |
|---|
(*.f64 2 y) |
(+.f64 (*.f64 2 x) (*.f64 2 y)) |
(*.f64 2 (+.f64 x y)) |
(*.f64 2 (+.f64 y x)) |
(+.f64 (*.f64 2 x) (*.f64 2 y)) |
(*.f64 2 (+.f64 x y)) |
(*.f64 2 (+.f64 y x)) |
(+.f64 (*.f64 2 x) (*.f64 2 y)) |
(*.f64 2 (+.f64 x y)) |
(*.f64 2 (+.f64 y x)) |
(*.f64 2 x) |
(+.f64 (*.f64 2 y) (*.f64 2 x)) |
(*.f64 2 (+.f64 x y)) |
(*.f64 2 (+.f64 y x)) |
(+.f64 (*.f64 2 y) (*.f64 2 x)) |
(*.f64 2 (+.f64 x y)) |
(*.f64 2 (+.f64 y x)) |
(+.f64 (*.f64 2 y) (*.f64 2 x)) |
(*.f64 2 (+.f64 x y)) |
(*.f64 2 (+.f64 y x)) |
(*.f64 2 x) |
(+.f64 (*.f64 2 y) (*.f64 2 x)) |
(*.f64 2 (+.f64 x y)) |
(*.f64 2 (+.f64 y x)) |
(+.f64 (*.f64 2 y) (*.f64 2 x)) |
(*.f64 2 (+.f64 x y)) |
(*.f64 2 (+.f64 y x)) |
(+.f64 (*.f64 2 y) (*.f64 2 x)) |
(*.f64 2 (+.f64 x y)) |
(*.f64 2 (+.f64 y x)) |
(*.f64 2 x) |
(+.f64 (*.f64 2 y) (*.f64 2 x)) |
(*.f64 2 (+.f64 x y)) |
(*.f64 2 (+.f64 y x)) |
(+.f64 (*.f64 2 y) (*.f64 2 x)) |
(*.f64 2 (+.f64 x y)) |
(*.f64 2 (+.f64 y x)) |
(+.f64 (*.f64 2 y) (*.f64 2 x)) |
(*.f64 2 (+.f64 x y)) |
(*.f64 2 (+.f64 y x)) |
(*.f64 2 y) |
(+.f64 (*.f64 2 x) (*.f64 2 y)) |
(*.f64 2 (+.f64 x y)) |
(*.f64 2 (+.f64 y x)) |
(+.f64 (*.f64 2 x) (*.f64 2 y)) |
(*.f64 2 (+.f64 x y)) |
(*.f64 2 (+.f64 y x)) |
(+.f64 (*.f64 2 x) (*.f64 2 y)) |
(*.f64 2 (+.f64 x y)) |
(*.f64 2 (+.f64 y x)) |
(*.f64 2 y) |
(+.f64 (*.f64 2 x) (*.f64 2 y)) |
(*.f64 2 (+.f64 x y)) |
(*.f64 2 (+.f64 y x)) |
(+.f64 (*.f64 2 x) (*.f64 2 y)) |
(*.f64 2 (+.f64 x y)) |
(*.f64 2 (+.f64 y x)) |
(+.f64 (*.f64 2 x) (*.f64 2 y)) |
(*.f64 2 (+.f64 x y)) |
(*.f64 2 (+.f64 y x)) |
(*.f64 2 y) |
(+.f64 (*.f64 2 y) x) |
(fma.f64 2 y x) |
(+.f64 (*.f64 2 y) x) |
(fma.f64 2 y x) |
(+.f64 (*.f64 2 y) x) |
(fma.f64 2 y x) |
x |
(+.f64 (*.f64 2 y) x) |
(fma.f64 2 y x) |
(+.f64 (*.f64 2 y) x) |
(fma.f64 2 y x) |
(+.f64 (*.f64 2 y) x) |
(fma.f64 2 y x) |
x |
(+.f64 (*.f64 2 y) x) |
(fma.f64 2 y x) |
(+.f64 (*.f64 2 y) x) |
(fma.f64 2 y x) |
(+.f64 (*.f64 2 y) x) |
(fma.f64 2 y x) |
x |
(+.f64 (*.f64 2 y) x) |
(fma.f64 2 y x) |
(+.f64 (*.f64 2 y) x) |
(fma.f64 2 y x) |
(+.f64 (*.f64 2 y) x) |
(fma.f64 2 y x) |
(*.f64 2 y) |
(+.f64 (*.f64 2 y) x) |
(fma.f64 2 y x) |
(+.f64 (*.f64 2 y) x) |
(fma.f64 2 y x) |
(+.f64 (*.f64 2 y) x) |
(fma.f64 2 y x) |
(*.f64 2 y) |
(+.f64 (*.f64 2 y) x) |
(fma.f64 2 y x) |
(+.f64 (*.f64 2 y) x) |
(fma.f64 2 y x) |
(+.f64 (*.f64 2 y) x) |
(fma.f64 2 y x) |
(+.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 x 3 (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 x 3 z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 x 3 (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 x 3 z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 x 3 (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 x 3 z)) |
(*.f64 3 x) |
(*.f64 x 3) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 x 3 (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 x 3 z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 x 3 (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 x 3 z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 x 3 (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 x 3 z)) |
(*.f64 3 x) |
(*.f64 x 3) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 x 3 (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 x 3 z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 x 3 (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 x 3 z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 x 3 (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 x 3 z)) |
(+.f64 (*.f64 2 x) (+.f64 z x)) |
(fma.f64 2 x (+.f64 x z)) |
(+.f64 z (*.f64 x 3)) |
(fma.f64 x 3 z) |
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 x) (+.f64 z x))) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 x 3 (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 x 3 z)) |
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 x) (+.f64 z x))) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 x 3 (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 x 3 z)) |
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 x) (+.f64 z x))) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 x 3 (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 x 3 z)) |
(*.f64 2 y) |
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x))) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 x 3 (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 x 3 z)) |
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x))) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 x 3 (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 x 3 z)) |
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x))) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 x 3 (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 x 3 z)) |
(*.f64 2 y) |
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x))) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 x 3 (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 x 3 z)) |
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x))) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 x 3 (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 x 3 z)) |
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x))) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 x 3 (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 x 3 z)) |
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 x) x)) |
(fma.f64 2 y (*.f64 x 3)) |
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x))) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 x 3 (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 x 3 z)) |
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x))) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 x 3 (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 x 3 z)) |
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x))) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 x 3 (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 x 3 z)) |
z |
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x))) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 x 3 (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 x 3 z)) |
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x))) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 x 3 (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 x 3 z)) |
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x))) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 x 3 (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 x 3 z)) |
z |
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x))) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 x 3 (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 x 3 z)) |
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x))) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 x 3 (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 x 3 z)) |
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x))) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 x 3 (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 x 3 z)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (fma.f64 x 3 (fma.f64 y 2 z)) |
Compiled 19 to 11 computations (42.1% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | 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 | y | @ | 0 | (fma.f64 x 3 (fma.f64 y 2 z)) |
| 1.0ms | y | @ | -inf | (fma.f64 x 3 (fma.f64 y 2 z)) |
| 1.0ms | y | @ | 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 |
| 644× | add-exp-log_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 (+.f64 1 (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 cbrt.f64 (pow.f64 (fma.f64 x 3 (fma.f64 y 2 z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.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 exp.f64 (log.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)) |
(+.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 3787 to 1758 computations (53.6% saved)
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 219 | 9 | 228 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 0 | 1 |
| Total | 221 | 9 | 230 |
| Status | Error | Program |
|---|---|---|
| 43.8b | (*.f64 x 3) | |
| 42.4b | z | |
| ▶ | 21.1b | (fma.f64 3 x (*.f64 2 y)) |
| ▶ | 21.1b | (+.f64 (*.f64 3 x) (*.f64 2 y)) |
| ▶ | 39.9b | (*.f64 2 y) |
| ▶ | 23.3b | (+.f64 (*.f64 3 x) z) |
| ▶ | 19.4b | (+.f64 (*.f64 2 y) z) |
| 23.3b | (fma.f64 x 3 z) | |
| 23.3b | (+.f64 (*.f64 2 x) (+.f64 z x)) |
Compiled 132 to 101 computations (23.5% saved)
Compiled 14 to 9 computations (35.7% saved)
Compiled 8 to 6 computations (25% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 3 x) z) |
Compiled 14 to 9 computations (35.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (+.f64 (*.f64 3 x) z) |
| 0.0ms | z | @ | 0 | (+.f64 (*.f64 3 x) z) |
| 0.0ms | x | @ | inf | (+.f64 (*.f64 3 x) z) |
| 0.0ms | x | @ | -inf | (+.f64 (*.f64 3 x) z) |
| 0.0ms | z | @ | inf | (+.f64 (*.f64 3 x) z) |
| 1× | batch-egg-rewrite |
| 680× | pow1_binary64 |
| 633× | add-log-exp_binary64 |
| 633× | log1p-expm1-u_binary64 |
| 633× | expm1-log1p-u_binary64 |
| 620× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 5 |
| 1 | 130 | 5 |
| 2 | 1711 | 5 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 3 x) z) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 3 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 3 x) 2) (-.f64 (*.f64 3 x) z)) (/.f64 (*.f64 z z) (-.f64 (*.f64 3 x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 3 x z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 3 x z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 3 x z)) (pow.f64 (cbrt.f64 (fma.f64 3 x z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 3 x z)) 2) (cbrt.f64 (fma.f64 3 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 3 x z)) (sqrt.f64 (fma.f64 3 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 3 x) 3) (pow.f64 z 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 3 x) 2) (*.f64 z (-.f64 z (*.f64 3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 3 x) 2) (*.f64 z z)) (/.f64 1 (-.f64 (*.f64 3 x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 3 x) 2) (*.f64 z (-.f64 z (*.f64 3 x)))) (+.f64 (pow.f64 (*.f64 3 x) 3) (pow.f64 z 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 3 x) z) (-.f64 (pow.f64 (*.f64 3 x) 2) (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 3 x) 3) (pow.f64 z 3)) (+.f64 (pow.f64 (*.f64 3 x) 2) (*.f64 z (-.f64 z (*.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 3 x) 3) (pow.f64 z 3)) (+.f64 (*.f64 z z) (-.f64 (pow.f64 (*.f64 3 x) 2) (*.f64 x (*.f64 3 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 3 x) 2) (*.f64 z z)) (-.f64 (*.f64 3 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 3 x) 3) (pow.f64 z 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 3 x) 2) (*.f64 z (-.f64 z (*.f64 3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 3 x) 2) (*.f64 z z))) (neg.f64 (-.f64 (*.f64 3 x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 3 x) 2)) (-.f64 z (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 3 x z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 3 x z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 3 x z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 3 x z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 3 x z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 3 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 3 x z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 3 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 3 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 3 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 x z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 3 z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 3 x) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 z (*.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z) (*.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 3 x)) 2) (cbrt.f64 (*.f64 3 x)) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 3 x)) (sqrt.f64 (*.f64 3 x)) z))))) |
| 1× | egg-herbie |
| 1× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 15 |
| 1 | 6 | 15 |
| 1× | saturated |
| Inputs |
|---|
z |
(*.f64 3 x) |
(*.f64 3 x) |
(*.f64 3 x) |
z |
z |
| Outputs |
|---|
z |
(*.f64 3 x) |
(*.f64 3 x) |
(*.f64 3 x) |
z |
z |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 3 x) (*.f64 2 y)) |
Compiled 20 to 14 computations (30% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (+.f64 (*.f64 3 x) (*.f64 2 y)) |
| 0.0ms | x | @ | -inf | (+.f64 (*.f64 3 x) (*.f64 2 y)) |
| 0.0ms | y | @ | -inf | (+.f64 (*.f64 3 x) (*.f64 2 y)) |
| 0.0ms | y | @ | 0 | (+.f64 (*.f64 3 x) (*.f64 2 y)) |
| 0.0ms | x | @ | inf | (+.f64 (*.f64 3 x) (*.f64 2 y)) |
| 1× | batch-egg-rewrite |
| 843× | pow1_binary64 |
| 785× | add-log-exp_binary64 |
| 784× | log1p-expm1-u_binary64 |
| 784× | expm1-log1p-u_binary64 |
| 770× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 8 |
| 1 | 171 | 8 |
| 2 | 2162 | 8 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 3 x (*.f64 2 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 9 (*.f64 x x)) (+.f64 (*.f64 3 x) (*.f64 -2 y))) (/.f64 (*.f64 4 (*.f64 y y)) (+.f64 (*.f64 3 x) (*.f64 -2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 3 x (*.f64 2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 3 x (*.f64 2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 3 x (*.f64 2 y))) (pow.f64 (cbrt.f64 (fma.f64 3 x (*.f64 2 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 3 x (*.f64 2 y))) 2) (cbrt.f64 (fma.f64 3 x (*.f64 2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 3 x (*.f64 2 y))) (sqrt.f64 (fma.f64 3 x (*.f64 2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 27 (pow.f64 x 3)) (*.f64 8 (pow.f64 y 3))) (/.f64 1 (+.f64 (*.f64 9 (*.f64 x x)) (*.f64 (*.f64 2 y) (-.f64 (*.f64 2 y) (*.f64 3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 4 (*.f64 y y))) (/.f64 1 (+.f64 (*.f64 3 x) (*.f64 -2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 9 (*.f64 x x)) (*.f64 (*.f64 2 y) (-.f64 (*.f64 2 y) (*.f64 3 x)))) (+.f64 (*.f64 27 (pow.f64 x 3)) (*.f64 8 (pow.f64 y 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 3 x) (*.f64 -2 y)) (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 4 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 27 (pow.f64 x 3)) (*.f64 8 (pow.f64 y 3))) (+.f64 (*.f64 9 (*.f64 x x)) (*.f64 (*.f64 2 y) (-.f64 (*.f64 2 y) (*.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 27 (pow.f64 x 3)) (*.f64 8 (pow.f64 y 3))) (+.f64 (*.f64 4 (*.f64 y y)) (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 3 (*.f64 x (*.f64 2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 4 (*.f64 y y))) (+.f64 (*.f64 3 x) (*.f64 -2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 27 (pow.f64 x 3)) (*.f64 8 (pow.f64 y 3)))) (neg.f64 (+.f64 (*.f64 9 (*.f64 x x)) (*.f64 (*.f64 2 y) (-.f64 (*.f64 2 y) (*.f64 3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 4 (*.f64 y y)))) (neg.f64 (+.f64 (*.f64 3 x) (*.f64 -2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 4 (*.f64 y y)) (*.f64 9 (*.f64 x x))) (-.f64 (*.f64 2 y) (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 3 x (*.f64 2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 3 x (*.f64 2 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 3 x (*.f64 2 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 3 x (*.f64 2 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 3 x (*.f64 2 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 3 x (*.f64 2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 3 x (*.f64 2 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 3 x (*.f64 2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 3 x (*.f64 2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 3 x (*.f64 2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 x (*.f64 2 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 3 (*.f64 2 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 y (*.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 2 (*.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 3 x) (*.f64 2 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 2 y) (*.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 2 y)) 2) (cbrt.f64 (*.f64 2 y)) (*.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 3 x)) 2) (cbrt.f64 (*.f64 3 x)) (*.f64 2 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 2 y)) (sqrt.f64 (*.f64 2 y)) (*.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 3 x)) (sqrt.f64 (*.f64 3 x)) (*.f64 2 y)))))) |
| 1× | egg-herbie |
| 2× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 24 |
| 1 | 9 | 24 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 2 y) |
(*.f64 3 x) |
(*.f64 3 x) |
(*.f64 3 x) |
(*.f64 2 y) |
(*.f64 2 y) |
| Outputs |
|---|
(*.f64 2 y) |
(*.f64 3 x) |
(*.f64 3 x) |
(*.f64 3 x) |
(*.f64 2 y) |
(*.f64 2 y) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (fma.f64 3 x (*.f64 2 y)) |
Compiled 16 to 11 computations (31.3% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (fma.f64 3 x (*.f64 2 y)) |
| 0.0ms | x | @ | 0 | (fma.f64 3 x (*.f64 2 y)) |
| 0.0ms | y | @ | inf | (fma.f64 3 x (*.f64 2 y)) |
| 0.0ms | y | @ | -inf | (fma.f64 3 x (*.f64 2 y)) |
| 0.0ms | x | @ | inf | (fma.f64 3 x (*.f64 2 y)) |
| 1× | batch-egg-rewrite |
| 606× | pow1_binary64 |
| 559× | add-log-exp_binary64 |
| 558× | log1p-expm1-u_binary64 |
| 558× | expm1-log1p-u_binary64 |
| 549× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 8 |
| 1 | 141 | 8 |
| 2 | 1527 | 8 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 3 x (*.f64 2 y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 y) (*.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 x) (*.f64 2 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 3 x) 1) (*.f64 2 y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 3 x (*.f64 2 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 3 x (*.f64 2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 3 x (*.f64 2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 3 x (*.f64 2 y))) (pow.f64 (cbrt.f64 (fma.f64 3 x (*.f64 2 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 3 x (*.f64 2 y))) 2) (cbrt.f64 (fma.f64 3 x (*.f64 2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 3 x (*.f64 2 y))) (sqrt.f64 (fma.f64 3 x (*.f64 2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 3 x) 3) (pow.f64 (*.f64 2 y) 3)) (+.f64 (*.f64 (*.f64 3 x) (*.f64 3 x)) (-.f64 (*.f64 (*.f64 y y) 4) (*.f64 (*.f64 3 x) (*.f64 2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 3 x) (*.f64 3 x)) (*.f64 (*.f64 y y) 4)) (-.f64 (*.f64 3 x) (*.f64 2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 3 x (*.f64 2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 3 x (*.f64 2 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 3 x (*.f64 2 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 3 x (*.f64 2 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 3 x (*.f64 2 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 3 x (*.f64 2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 3 x (*.f64 2 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 3 x (*.f64 2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 3 x (*.f64 2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 3 x (*.f64 2 y)))))))) |
| 1× | egg-herbie |
| 4× | fma-def_binary64 |
| 2× | *-commutative_binary64 |
| 1× | +-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 168 |
| 1 | 12 | 168 |
| 2 | 15 | 168 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 2 y) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(*.f64 3 x) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(*.f64 3 x) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(*.f64 3 x) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(*.f64 2 y) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(*.f64 2 y) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
| Outputs |
|---|
(*.f64 2 y) |
(+.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 2 y)) |
(fma.f64 3 x (*.f64 2 y)) |
(fma.f64 2 y (*.f64 3 x)) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(fma.f64 3 x (*.f64 2 y)) |
(fma.f64 2 y (*.f64 3 x)) |
(*.f64 3 x) |
(+.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 2 y)) |
(fma.f64 3 x (*.f64 2 y)) |
(fma.f64 2 y (*.f64 3 x)) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(fma.f64 3 x (*.f64 2 y)) |
(fma.f64 2 y (*.f64 3 x)) |
(*.f64 3 x) |
(+.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 2 y)) |
(fma.f64 3 x (*.f64 2 y)) |
(fma.f64 2 y (*.f64 3 x)) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(fma.f64 3 x (*.f64 2 y)) |
(fma.f64 2 y (*.f64 3 x)) |
(*.f64 3 x) |
(+.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 2 y)) |
(fma.f64 3 x (*.f64 2 y)) |
(fma.f64 2 y (*.f64 3 x)) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(fma.f64 3 x (*.f64 2 y)) |
(fma.f64 2 y (*.f64 3 x)) |
(*.f64 2 y) |
(+.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 2 y)) |
(fma.f64 3 x (*.f64 2 y)) |
(fma.f64 2 y (*.f64 3 x)) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(fma.f64 3 x (*.f64 2 y)) |
(fma.f64 2 y (*.f64 3 x)) |
(*.f64 2 y) |
(+.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 2 y)) |
(fma.f64 3 x (*.f64 2 y)) |
(fma.f64 2 y (*.f64 3 x)) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(fma.f64 3 x (*.f64 2 y)) |
(fma.f64 2 y (*.f64 3 x)) |
Compiled 1205 to 856 computations (29% saved)
10 alts after pruning (5 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 99 | 1 | 100 |
| Fresh | 0 | 4 | 4 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 4 | 4 |
| Total | 99 | 10 | 109 |
| Status | Error | Program |
|---|---|---|
| ▶ | 43.8b | (*.f64 x 3) |
| 42.4b | z | |
| ✓ | 21.1b | (fma.f64 3 x (*.f64 2 y)) |
| ✓ | 21.1b | (+.f64 (*.f64 3 x) (*.f64 2 y)) |
| ✓ | 39.9b | (*.f64 2 y) |
| ✓ | 23.3b | (+.f64 (*.f64 3 x) z) |
| ▶ | 47.9b | (/.f64 (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 4 (*.f64 y y))) (+.f64 (*.f64 3 x) (*.f64 -2 y))) |
| ✓ | 19.4b | (+.f64 (*.f64 2 y) z) |
| ▶ | 23.3b | (fma.f64 x 3 z) |
| ▶ | 23.3b | (+.f64 (*.f64 2 x) (+.f64 z x)) |
Compiled 90 to 68 computations (24.4% saved)
Compiled 8 to 6 computations (25% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 2 x) (+.f64 z x)) |
Compiled 19 to 10 computations (47.4% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | z | @ | -inf | (+.f64 (*.f64 2 x) (+.f64 z x)) |
| 0.0ms | x | @ | 0 | (+.f64 (*.f64 2 x) (+.f64 z x)) |
| 0.0ms | x | @ | inf | (+.f64 (*.f64 2 x) (+.f64 z x)) |
| 0.0ms | x | @ | -inf | (+.f64 (*.f64 2 x) (+.f64 z x)) |
| 0.0ms | z | @ | 0 | (+.f64 (*.f64 2 x) (+.f64 z x)) |
| 1× | batch-egg-rewrite |
| 972× | pow1_binary64 |
| 910× | add-log-exp_binary64 |
| 909× | log1p-expm1-u_binary64 |
| 909× | expm1-log1p-u_binary64 |
| 87× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 8 |
| 1 | 163 | 8 |
| 2 | 2412 | 8 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 2 x) (+.f64 z x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x (fma.f64 2 x z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 x x) 4) (-.f64 (*.f64 2 x) (+.f64 x z))) (/.f64 (pow.f64 (+.f64 x z) 2) (-.f64 (*.f64 2 x) (+.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (fma.f64 2 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (fma.f64 2 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (fma.f64 2 x z))) (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 2 x z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 2 x z))) 2) (cbrt.f64 (+.f64 x (fma.f64 2 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (fma.f64 2 x z))) (sqrt.f64 (+.f64 x (fma.f64 2 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 8 (pow.f64 x 3)) (pow.f64 (+.f64 x z) 3)) (/.f64 1 (+.f64 (*.f64 (*.f64 x x) 4) (*.f64 (+.f64 x z) (-.f64 (+.f64 x z) (*.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (*.f64 x x) 4) (pow.f64 (+.f64 x z) 2)) (/.f64 1 (-.f64 (*.f64 2 x) (+.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 x x) 4) (*.f64 (+.f64 x z) (-.f64 (+.f64 x z) (*.f64 2 x)))) (+.f64 (*.f64 8 (pow.f64 x 3)) (pow.f64 (+.f64 x z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 2 x) (+.f64 x z)) (-.f64 (*.f64 (*.f64 x x) 4) (pow.f64 (+.f64 x z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 8 (pow.f64 x 3)) (pow.f64 (+.f64 x z) 3)) (+.f64 (*.f64 (*.f64 x x) 4) (*.f64 (+.f64 x z) (-.f64 (+.f64 x z) (*.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 8 (pow.f64 x 3)) (pow.f64 (+.f64 x z) 3)) (+.f64 (pow.f64 (+.f64 x z) 2) (-.f64 (*.f64 (*.f64 x x) 4) (*.f64 (*.f64 2 x) (+.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x x) 4) (pow.f64 (+.f64 x z) 2)) (-.f64 (*.f64 2 x) (+.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 8 (pow.f64 x 3)) (pow.f64 (+.f64 x z) 3))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) 4) (*.f64 (+.f64 x z) (-.f64 (+.f64 x z) (*.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) 4) (pow.f64 (+.f64 x z) 2))) (neg.f64 (-.f64 (*.f64 2 x) (+.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 2 x z) 3) (pow.f64 x 3)) (+.f64 (*.f64 (fma.f64 2 x z) (fma.f64 2 x z)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 2 x z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x z) 2) (*.f64 (*.f64 x x) 4)) (-.f64 (+.f64 x z) (*.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (fma.f64 2 x z) (fma.f64 2 x z)) (*.f64 x x)) (-.f64 (fma.f64 2 x z) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (fma.f64 2 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (fma.f64 2 x z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (fma.f64 2 x z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (fma.f64 2 x z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (fma.f64 2 x z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (fma.f64 2 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x (fma.f64 2 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (fma.f64 2 x z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (fma.f64 2 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (fma.f64 2 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (fma.f64 2 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 x (+.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 2 (+.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 2 x) (+.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x z) (*.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x z)) 2) (cbrt.f64 (+.f64 x z)) (*.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 2 x)) 2) (cbrt.f64 (*.f64 2 x)) (+.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x z)) (sqrt.f64 (+.f64 x z)) (*.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 2 x)) (sqrt.f64 (*.f64 2 x)) (+.f64 x z)))))) |
| 1× | egg-herbie |
| 8× | +-commutative_binary64 |
| 8× | fma-def_binary64 |
| 2× | *-commutative_binary64 |
| 2× | associate-+r+_binary64 |
| 2× | associate-+l+_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 60 |
| 1 | 17 | 60 |
| 2 | 29 | 60 |
| 3 | 37 | 60 |
| 1× | saturated |
| Inputs |
|---|
z |
(+.f64 (*.f64 3 x) z) |
(+.f64 (*.f64 3 x) z) |
(+.f64 (*.f64 3 x) z) |
(*.f64 3 x) |
(+.f64 (*.f64 3 x) z) |
(+.f64 (*.f64 3 x) z) |
(+.f64 (*.f64 3 x) z) |
(*.f64 3 x) |
(+.f64 (*.f64 3 x) z) |
(+.f64 (*.f64 3 x) z) |
(+.f64 (*.f64 3 x) z) |
(+.f64 (*.f64 2 x) x) |
z |
z |
| Outputs |
|---|
z |
(+.f64 (*.f64 3 x) z) |
(fma.f64 3 x z) |
(+.f64 (*.f64 3 x) z) |
(fma.f64 3 x z) |
(+.f64 (*.f64 3 x) z) |
(fma.f64 3 x z) |
(*.f64 3 x) |
(+.f64 (*.f64 3 x) z) |
(fma.f64 3 x z) |
(+.f64 (*.f64 3 x) z) |
(fma.f64 3 x z) |
(+.f64 (*.f64 3 x) z) |
(fma.f64 3 x z) |
(*.f64 3 x) |
(+.f64 (*.f64 3 x) z) |
(fma.f64 3 x z) |
(+.f64 (*.f64 3 x) z) |
(fma.f64 3 x z) |
(+.f64 (*.f64 3 x) z) |
(fma.f64 3 x z) |
(+.f64 (*.f64 2 x) x) |
(*.f64 3 x) |
z |
z |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 3 x) (*.f64 -2 y)) |
| ✓ | 0.1b | (*.f64 9 (*.f64 x x)) |
| ✓ | 3.7b | (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 4 (*.f64 y y))) |
| ✓ | 33.4b | (/.f64 (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 4 (*.f64 y y))) (+.f64 (*.f64 3 x) (*.f64 -2 y))) |
Compiled 68 to 38 computations (44.1% saved)
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | inf | (/.f64 (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 4 (*.f64 y y))) (+.f64 (*.f64 3 x) (*.f64 -2 y))) |
| 1.0ms | y | @ | -inf | (/.f64 (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 4 (*.f64 y y))) (+.f64 (*.f64 3 x) (*.f64 -2 y))) |
| 1.0ms | x | @ | 0 | (/.f64 (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 4 (*.f64 y y))) (+.f64 (*.f64 3 x) (*.f64 -2 y))) |
| 1.0ms | y | @ | 0 | (/.f64 (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 4 (*.f64 y y))) (+.f64 (*.f64 3 x) (*.f64 -2 y))) |
| 1.0ms | x | @ | inf | (/.f64 (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 4 (*.f64 y y))) (+.f64 (*.f64 3 x) (*.f64 -2 y))) |
| 1× | batch-egg-rewrite |
| 804× | log-prod_binary64 |
| 471× | fma-neg_binary64 |
| 261× | expm1-udef_binary64 |
| 261× | log1p-udef_binary64 |
| 209× | log-pow_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 75 |
| 1 | 365 | 34 |
| 2 | 5339 | 34 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 4 (*.f64 y y))) (+.f64 (*.f64 3 x) (*.f64 -2 y))) |
(-.f64 (*.f64 9 (*.f64 x x)) (*.f64 4 (*.f64 y y))) |
(*.f64 9 (*.f64 x x)) |
(+.f64 (*.f64 3 x) (*.f64 -2 y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 3) (*.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 3) (neg.f64 (*.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 3) (*.f64 (neg.f64 y) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 3) (*.f64 -1 (*.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 3) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 y -2)) 2)) (cbrt.f64 (*.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 3) (*.f64 (neg.f64 (sqrt.f64 (*.f64 y -2))) (sqrt.f64 (*.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y -2) (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 9 (/.f64 (*.f64 x x) (fma.f64 x 3 (*.f64 y -2)))) (neg.f64 (*.f64 4 (/.f64 (*.f64 y y) (fma.f64 x 3 (*.f64 y -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 3 (*.f64 y -2)) (fma.f64 2 y (*.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 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y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 3)) (sqrt.f64 (*.f64 x 3)) (*.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 3)) (sqrt.f64 (*.f64 x 3)) (neg.f64 (*.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 3) (neg.f64 (*.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y -2)) (sqrt.f64 (*.f64 y -2)) (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 9 (/.f64 (*.f64 x x) (fma.f64 x 3 (*.f64 y -2))))) (cbrt.f64 (*.f64 9 (/.f64 (*.f64 x x) (fma.f64 x 3 (*.f64 y -2)))))) (cbrt.f64 (*.f64 9 (/.f64 (*.f64 x x) (fma.f64 x 3 (*.f64 y -2))))) (neg.f64 (*.f64 4 (/.f64 (*.f64 y y) (fma.f64 x 3 (*.f64 y -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 9 x)) (sqrt.f64 x) (neg.f64 (*.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 9 (/.f64 (*.f64 x x) (fma.f64 x 3 (*.f64 y -2))))) (sqrt.f64 (*.f64 9 (/.f64 (*.f64 x x) (fma.f64 x 3 (*.f64 y -2))))) (neg.f64 (*.f64 4 (/.f64 (*.f64 y y) (fma.f64 x 3 (*.f64 y -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (*.f64 81 (pow.f64 x 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 3)) 2)) (neg.f64 (*.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x 3 (*.f64 y -2)) 2))) (/.f64 (*.f64 9 (*.f64 x x)) (cbrt.f64 (fma.f64 x 3 (*.f64 y -2)))) (neg.f64 (*.f64 4 (/.f64 (*.f64 y y) (fma.f64 x 3 (*.f64 y -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 (fma.f64 x 3 (*.f64 y -2)))) (/.f64 (*.f64 9 (*.f64 x x)) (sqrt.f64 (fma.f64 x 3 (*.f64 y -2)))) (neg.f64 (*.f64 4 (/.f64 (*.f64 y y) (fma.f64 x 3 (*.f64 y -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 x x) 1) (/.f64 9 (fma.f64 x 3 (*.f64 y -2))) (neg.f64 (*.f64 4 (/.f64 (*.f64 y y) (fma.f64 x 3 (*.f64 y -2))))))))) 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-2)))) (neg.f64 (*.f64 4 (/.f64 (*.f64 y y) (fma.f64 x 3 (*.f64 y -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (*.f64 81 (pow.f64 x 4))) (cbrt.f64 (pow.f64 (fma.f64 x 3 (*.f64 y -2)) 2))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 3)) 2) (cbrt.f64 (fma.f64 x 3 (*.f64 y -2)))) (neg.f64 (*.f64 4 (/.f64 (*.f64 y y) (fma.f64 x 3 (*.f64 y -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 x 3) (cbrt.f64 (pow.f64 (fma.f64 x 3 (*.f64 y -2)) 2))) (/.f64 (*.f64 x 3) (cbrt.f64 (fma.f64 x 3 (*.f64 y -2)))) (neg.f64 (*.f64 4 (/.f64 (*.f64 y y) (fma.f64 x 3 (*.f64 y -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 9 x) (cbrt.f64 (pow.f64 (fma.f64 x 3 (*.f64 y -2)) 2))) (/.f64 x (cbrt.f64 (fma.f64 x 3 (*.f64 y -2)))) (neg.f64 (*.f64 4 (/.f64 (*.f64 y y) (fma.f64 x 3 (*.f64 y -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 9 (sqrt.f64 (fma.f64 x 3 (*.f64 y -2)))) (/.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x 3 (*.f64 y -2)))) (neg.f64 (*.f64 4 (/.f64 (*.f64 y y) (fma.f64 x 3 (*.f64 y -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x 3 (*.f64 y -2)))) (/.f64 9 (sqrt.f64 (fma.f64 x 3 (*.f64 y -2)))) (neg.f64 (*.f64 4 (/.f64 (*.f64 y y) (fma.f64 x 3 (*.f64 y -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (*.f64 81 (pow.f64 x 4))) (sqrt.f64 (fma.f64 x 3 (*.f64 y -2)))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 3)) 2) (sqrt.f64 (fma.f64 x 3 (*.f64 y -2)))) (neg.f64 (*.f64 4 (/.f64 (*.f64 y y) (fma.f64 x 3 (*.f64 y -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 x 3) (sqrt.f64 (fma.f64 x 3 (*.f64 y -2)))) (/.f64 (*.f64 x 3) (sqrt.f64 (fma.f64 x 3 (*.f64 y -2)))) (neg.f64 (*.f64 4 (/.f64 (*.f64 y y) (fma.f64 x 3 (*.f64 y -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 9 x) (sqrt.f64 (fma.f64 x 3 (*.f64 y -2)))) (/.f64 x (sqrt.f64 (fma.f64 x 3 (*.f64 y -2)))) (neg.f64 (*.f64 4 (/.f64 (*.f64 y y) (fma.f64 x 3 (*.f64 y -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 9 (*.f64 x x)) (+.f64 (*.f64 (pow.f64 x 3) 27) (*.f64 -8 (pow.f64 y 3)))) (+.f64 (*.f64 9 (*.f64 x x)) (*.f64 (*.f64 y -2) (-.f64 (*.f64 y -2) (*.f64 x 3)))) (neg.f64 (*.f64 4 (/.f64 (*.f64 y y) (fma.f64 x 3 (*.f64 y -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 9 (*.f64 x x)) (pow.f64 (fma.f64 x 3 (*.f64 y -2)) 2)) (fma.f64 x 3 (*.f64 y -2)) (neg.f64 (*.f64 4 (/.f64 (*.f64 y y) (fma.f64 x 3 (*.f64 y -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 (*.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (*.f64 y -2))))))) |
| 1× | egg-herbie |
| 1040× | sqr-pow_binary64 |
| 737× | fabs-mul_binary64 |
| 698× | cube-prod_binary64 |
| 484× | unswap-sqr_binary64 |
| 360× | pow-sqr_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 642 |
| 1 | 37 | 642 |
| 2 | 63 | 642 |
| 3 | 121 | 642 |
| 4 | 286 | 642 |
| 5 | 847 | 642 |
| 6 | 1251 | 642 |
| 7 | 2060 | 642 |
| 8 | 2237 | 642 |
| 9 | 2476 | 642 |
| 10 | 2786 | 642 |
| 11 | 3234 | 642 |
| 12 | 3830 | 642 |
| 13 | 4541 | 642 |
| 14 | 5419 | 642 |
| 15 | 6099 | 642 |
| 16 | 6555 | 642 |
| 17 | 6997 | 642 |
| 18 | 7155 | 642 |
| 19 | 7225 | 642 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 2 y) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(*.f64 3 x) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(*.f64 3 x) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(*.f64 3 x) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(*.f64 2 y) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(*.f64 2 y) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(*.f64 -4 (pow.f64 y 2)) |
(+.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 -4 (pow.f64 y 2))) |
(+.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 -4 (pow.f64 y 2))) |
(+.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 -4 (pow.f64 y 2))) |
(*.f64 9 (pow.f64 x 2)) |
(+.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 -4 (pow.f64 y 2))) |
(+.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 -4 (pow.f64 y 2))) |
(+.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 -4 (pow.f64 y 2))) |
(*.f64 9 (pow.f64 x 2)) |
(+.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 -4 (pow.f64 y 2))) |
(+.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 -4 (pow.f64 y 2))) |
(+.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 -4 (pow.f64 y 2))) |
(*.f64 9 (pow.f64 x 2)) |
(+.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 -4 (pow.f64 y 2))) |
(+.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 -4 (pow.f64 y 2))) |
(+.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 -4 (pow.f64 y 2))) |
(*.f64 -4 (pow.f64 y 2)) |
(+.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 -4 (pow.f64 y 2))) |
(+.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 -4 (pow.f64 y 2))) |
(+.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 -4 (pow.f64 y 2))) |
(*.f64 -4 (pow.f64 y 2)) |
(+.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 -4 (pow.f64 y 2))) |
(+.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 -4 (pow.f64 y 2))) |
(+.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 -4 (pow.f64 y 2))) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 -2 y) |
(*.f64 3 x) |
(+.f64 (*.f64 -2 y) (*.f64 3 x)) |
(+.f64 (*.f64 -2 y) (*.f64 3 x)) |
(+.f64 (*.f64 -2 y) (*.f64 3 x)) |
(*.f64 3 x) |
(+.f64 (*.f64 -2 y) (*.f64 3 x)) |
(+.f64 (*.f64 -2 y) (*.f64 3 x)) |
(+.f64 (*.f64 -2 y) (*.f64 3 x)) |
(*.f64 3 x) |
(+.f64 (*.f64 -2 y) (*.f64 3 x)) |
(+.f64 (*.f64 -2 y) (*.f64 3 x)) |
(+.f64 (*.f64 -2 y) (*.f64 3 x)) |
(*.f64 -2 y) |
(*.f64 -2 y) |
| Outputs |
|---|
(*.f64 2 y) |
(+.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 2 y)) |
(fma.f64 3 x (*.f64 2 y)) |
(fma.f64 2 y (*.f64 3 x)) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(fma.f64 3 x (*.f64 2 y)) |
(fma.f64 2 y (*.f64 3 x)) |
(*.f64 3 x) |
(+.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 2 y)) |
(fma.f64 3 x (*.f64 2 y)) |
(fma.f64 2 y (*.f64 3 x)) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(fma.f64 3 x (*.f64 2 y)) |
(fma.f64 2 y (*.f64 3 x)) |
(*.f64 3 x) |
(+.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 2 y)) |
(fma.f64 3 x (*.f64 2 y)) |
(fma.f64 2 y (*.f64 3 x)) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(fma.f64 3 x (*.f64 2 y)) |
(fma.f64 2 y (*.f64 3 x)) |
(*.f64 3 x) |
(+.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 2 y)) |
(fma.f64 3 x (*.f64 2 y)) |
(fma.f64 2 y (*.f64 3 x)) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(fma.f64 3 x (*.f64 2 y)) |
(fma.f64 2 y (*.f64 3 x)) |
(*.f64 2 y) |
(+.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 2 y)) |
(fma.f64 3 x (*.f64 2 y)) |
(fma.f64 2 y (*.f64 3 x)) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(fma.f64 3 x (*.f64 2 y)) |
(fma.f64 2 y (*.f64 3 x)) |
(*.f64 2 y) |
(+.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 2 y)) |
(fma.f64 3 x (*.f64 2 y)) |
(fma.f64 2 y (*.f64 3 x)) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(fma.f64 3 x (*.f64 2 y)) |
(fma.f64 2 y (*.f64 3 x)) |
(*.f64 -4 (pow.f64 y 2)) |
(*.f64 -4 (*.f64 y y)) |
(*.f64 y (*.f64 y -4)) |
(+.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 -4 (pow.f64 y 2))) |
(fma.f64 9 (*.f64 x x) (*.f64 -4 (*.f64 y y))) |
(fma.f64 -4 (*.f64 y y) (*.f64 x (*.f64 x 9))) |
(fma.f64 y (*.f64 y -4) (*.f64 9 (*.f64 x x))) |
(fma.f64 y (*.f64 y -4) (*.f64 x (*.f64 x 9))) |
(+.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 -4 (pow.f64 y 2))) |
(fma.f64 9 (*.f64 x x) (*.f64 -4 (*.f64 y y))) |
(fma.f64 -4 (*.f64 y y) (*.f64 x (*.f64 x 9))) |
(fma.f64 y (*.f64 y -4) (*.f64 9 (*.f64 x x))) |
(fma.f64 y (*.f64 y -4) (*.f64 x (*.f64 x 9))) |
(+.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 -4 (pow.f64 y 2))) |
(fma.f64 9 (*.f64 x x) (*.f64 -4 (*.f64 y y))) |
(fma.f64 -4 (*.f64 y y) (*.f64 x (*.f64 x 9))) |
(fma.f64 y (*.f64 y -4) (*.f64 9 (*.f64 x x))) |
(fma.f64 y (*.f64 y -4) (*.f64 x (*.f64 x 9))) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 x 9)) |
(+.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 -4 (pow.f64 y 2))) |
(fma.f64 9 (*.f64 x x) (*.f64 -4 (*.f64 y y))) |
(fma.f64 -4 (*.f64 y y) (*.f64 x (*.f64 x 9))) |
(fma.f64 y (*.f64 y -4) (*.f64 9 (*.f64 x x))) |
(fma.f64 y (*.f64 y -4) (*.f64 x (*.f64 x 9))) |
(+.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 -4 (pow.f64 y 2))) |
(fma.f64 9 (*.f64 x x) (*.f64 -4 (*.f64 y y))) |
(fma.f64 -4 (*.f64 y y) (*.f64 x (*.f64 x 9))) |
(fma.f64 y (*.f64 y -4) (*.f64 9 (*.f64 x x))) |
(fma.f64 y (*.f64 y -4) (*.f64 x (*.f64 x 9))) |
(+.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 -4 (pow.f64 y 2))) |
(fma.f64 9 (*.f64 x x) (*.f64 -4 (*.f64 y y))) |
(fma.f64 -4 (*.f64 y y) (*.f64 x (*.f64 x 9))) |
(fma.f64 y (*.f64 y -4) (*.f64 9 (*.f64 x x))) |
(fma.f64 y (*.f64 y -4) (*.f64 x (*.f64 x 9))) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 x 9)) |
(+.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 -4 (pow.f64 y 2))) |
(fma.f64 9 (*.f64 x x) (*.f64 -4 (*.f64 y y))) |
(fma.f64 -4 (*.f64 y y) (*.f64 x (*.f64 x 9))) |
(fma.f64 y (*.f64 y -4) (*.f64 9 (*.f64 x x))) |
(fma.f64 y (*.f64 y -4) (*.f64 x (*.f64 x 9))) |
(+.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 -4 (pow.f64 y 2))) |
(fma.f64 9 (*.f64 x x) (*.f64 -4 (*.f64 y y))) |
(fma.f64 -4 (*.f64 y y) (*.f64 x (*.f64 x 9))) |
(fma.f64 y (*.f64 y -4) (*.f64 9 (*.f64 x x))) |
(fma.f64 y (*.f64 y -4) (*.f64 x (*.f64 x 9))) |
(+.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 -4 (pow.f64 y 2))) |
(fma.f64 9 (*.f64 x x) (*.f64 -4 (*.f64 y y))) |
(fma.f64 -4 (*.f64 y y) (*.f64 x (*.f64 x 9))) |
(fma.f64 y (*.f64 y -4) (*.f64 9 (*.f64 x x))) |
(fma.f64 y (*.f64 y -4) (*.f64 x (*.f64 x 9))) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 x 9)) |
(+.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 -4 (pow.f64 y 2))) |
(fma.f64 9 (*.f64 x x) (*.f64 -4 (*.f64 y y))) |
(fma.f64 -4 (*.f64 y y) (*.f64 x (*.f64 x 9))) |
(fma.f64 y (*.f64 y -4) (*.f64 9 (*.f64 x x))) |
(fma.f64 y (*.f64 y -4) (*.f64 x (*.f64 x 9))) |
(+.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 -4 (pow.f64 y 2))) |
(fma.f64 9 (*.f64 x x) (*.f64 -4 (*.f64 y y))) |
(fma.f64 -4 (*.f64 y y) (*.f64 x (*.f64 x 9))) |
(fma.f64 y (*.f64 y -4) (*.f64 9 (*.f64 x x))) |
(fma.f64 y (*.f64 y -4) (*.f64 x (*.f64 x 9))) |
(+.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 -4 (pow.f64 y 2))) |
(fma.f64 9 (*.f64 x x) (*.f64 -4 (*.f64 y y))) |
(fma.f64 -4 (*.f64 y y) (*.f64 x (*.f64 x 9))) |
(fma.f64 y (*.f64 y -4) (*.f64 9 (*.f64 x x))) |
(fma.f64 y (*.f64 y -4) (*.f64 x (*.f64 x 9))) |
(*.f64 -4 (pow.f64 y 2)) |
(*.f64 -4 (*.f64 y y)) |
(*.f64 y (*.f64 y -4)) |
(+.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 -4 (pow.f64 y 2))) |
(fma.f64 9 (*.f64 x x) (*.f64 -4 (*.f64 y y))) |
(fma.f64 -4 (*.f64 y y) (*.f64 x (*.f64 x 9))) |
(fma.f64 y (*.f64 y -4) (*.f64 9 (*.f64 x x))) |
(fma.f64 y (*.f64 y -4) (*.f64 x (*.f64 x 9))) |
(+.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 -4 (pow.f64 y 2))) |
(fma.f64 9 (*.f64 x x) (*.f64 -4 (*.f64 y y))) |
(fma.f64 -4 (*.f64 y y) (*.f64 x (*.f64 x 9))) |
(fma.f64 y (*.f64 y -4) (*.f64 9 (*.f64 x x))) |
(fma.f64 y (*.f64 y -4) (*.f64 x (*.f64 x 9))) |
(+.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 -4 (pow.f64 y 2))) |
(fma.f64 9 (*.f64 x x) (*.f64 -4 (*.f64 y y))) |
(fma.f64 -4 (*.f64 y y) (*.f64 x (*.f64 x 9))) |
(fma.f64 y (*.f64 y -4) (*.f64 9 (*.f64 x x))) |
(fma.f64 y (*.f64 y -4) (*.f64 x (*.f64 x 9))) |
(*.f64 -4 (pow.f64 y 2)) |
(*.f64 -4 (*.f64 y y)) |
(*.f64 y (*.f64 y -4)) |
(+.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 -4 (pow.f64 y 2))) |
(fma.f64 9 (*.f64 x x) (*.f64 -4 (*.f64 y y))) |
(fma.f64 -4 (*.f64 y y) (*.f64 x (*.f64 x 9))) |
(fma.f64 y (*.f64 y -4) (*.f64 9 (*.f64 x x))) |
(fma.f64 y (*.f64 y -4) (*.f64 x (*.f64 x 9))) |
(+.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 -4 (pow.f64 y 2))) |
(fma.f64 9 (*.f64 x x) (*.f64 -4 (*.f64 y y))) |
(fma.f64 -4 (*.f64 y y) (*.f64 x (*.f64 x 9))) |
(fma.f64 y (*.f64 y -4) (*.f64 9 (*.f64 x x))) |
(fma.f64 y (*.f64 y -4) (*.f64 x (*.f64 x 9))) |
(+.f64 (*.f64 9 (pow.f64 x 2)) (*.f64 -4 (pow.f64 y 2))) |
(fma.f64 9 (*.f64 x x) (*.f64 -4 (*.f64 y y))) |
(fma.f64 -4 (*.f64 y y) (*.f64 x (*.f64 x 9))) |
(fma.f64 y (*.f64 y -4) (*.f64 9 (*.f64 x x))) |
(fma.f64 y (*.f64 y -4) (*.f64 x (*.f64 x 9))) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 x 9)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 x 9)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 x 9)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 x 9)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 x 9)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 x 9)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 x 9)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 x 9)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 x 9)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 x 9)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 x 9)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (*.f64 x x)) |
(*.f64 x (*.f64 x 9)) |
(*.f64 -2 y) |
(*.f64 y -2) |
(*.f64 3 x) |
(+.f64 (*.f64 -2 y) (*.f64 3 x)) |
(fma.f64 -2 y (*.f64 3 x)) |
(fma.f64 y -2 (*.f64 3 x)) |
(+.f64 (*.f64 -2 y) (*.f64 3 x)) |
(fma.f64 -2 y (*.f64 3 x)) |
(fma.f64 y -2 (*.f64 3 x)) |
(+.f64 (*.f64 -2 y) (*.f64 3 x)) |
(fma.f64 -2 y (*.f64 3 x)) |
(fma.f64 y -2 (*.f64 3 x)) |
(*.f64 3 x) |
(+.f64 (*.f64 -2 y) (*.f64 3 x)) |
(fma.f64 -2 y (*.f64 3 x)) |
(fma.f64 y -2 (*.f64 3 x)) |
(+.f64 (*.f64 -2 y) (*.f64 3 x)) |
(fma.f64 -2 y (*.f64 3 x)) |
(fma.f64 y -2 (*.f64 3 x)) |
(+.f64 (*.f64 -2 y) (*.f64 3 x)) |
(fma.f64 -2 y (*.f64 3 x)) |
(fma.f64 y -2 (*.f64 3 x)) |
(*.f64 3 x) |
(+.f64 (*.f64 -2 y) (*.f64 3 x)) |
(fma.f64 -2 y (*.f64 3 x)) |
(fma.f64 y -2 (*.f64 3 x)) |
(+.f64 (*.f64 -2 y) (*.f64 3 x)) |
(fma.f64 -2 y (*.f64 3 x)) |
(fma.f64 y -2 (*.f64 3 x)) |
(+.f64 (*.f64 -2 y) (*.f64 3 x)) |
(fma.f64 -2 y (*.f64 3 x)) |
(fma.f64 y -2 (*.f64 3 x)) |
(*.f64 -2 y) |
(*.f64 y -2) |
(*.f64 -2 y) |
(*.f64 y -2) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (fma.f64 x 3 z) |
Compiled 10 to 6 computations (40% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (fma.f64 x 3 z) |
| 0.0ms | z | @ | -inf | (fma.f64 x 3 z) |
| 0.0ms | x | @ | inf | (fma.f64 x 3 z) |
| 0.0ms | z | @ | inf | (fma.f64 x 3 z) |
| 0.0ms | x | @ | -inf | (fma.f64 x 3 z) |
| 1× | batch-egg-rewrite |
| 450× | pow1_binary64 |
| 436× | add-sqr-sqrt_binary64 |
| 429× | *-un-lft-identity_binary64 |
| 415× | add-log-exp_binary64 |
| 415× | log1p-expm1-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 5 |
| 1 | 100 | 5 |
| 2 | 1105 | 5 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 x 3 z) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 z (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 3) z)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 3) 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x 3 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 3 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 3 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 3 z)) (pow.f64 (cbrt.f64 (fma.f64 x 3 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 3 z)) 2) (cbrt.f64 (fma.f64 x 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 3 z)) (sqrt.f64 (fma.f64 x 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x 3) 3) (pow.f64 z 3)) (+.f64 (*.f64 (*.f64 x 3) (*.f64 x 3)) (-.f64 (*.f64 z z) (*.f64 (*.f64 x 3) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x 3) (*.f64 x 3)) (*.f64 z z)) (-.f64 (*.f64 x 3) z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 3 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 3 z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 3 z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 3 z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 3 z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 3 z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 3 z))))))) |
| 1× | egg-herbie |
| 2× | fma-def_binary64 |
| 1× | +-commutative_binary64 |
| 1× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 105 |
| 1 | 9 | 105 |
| 2 | 10 | 105 |
| 1× | saturated |
| Inputs |
|---|
z |
(+.f64 (*.f64 3 x) z) |
(+.f64 (*.f64 3 x) z) |
(+.f64 (*.f64 3 x) z) |
(*.f64 3 x) |
(+.f64 (*.f64 3 x) z) |
(+.f64 (*.f64 3 x) z) |
(+.f64 (*.f64 3 x) z) |
(*.f64 3 x) |
(+.f64 (*.f64 3 x) z) |
(+.f64 (*.f64 3 x) z) |
(+.f64 (*.f64 3 x) z) |
(*.f64 3 x) |
(+.f64 (*.f64 3 x) z) |
(+.f64 (*.f64 3 x) z) |
(+.f64 (*.f64 3 x) z) |
z |
(+.f64 (*.f64 3 x) z) |
(+.f64 (*.f64 3 x) z) |
(+.f64 (*.f64 3 x) z) |
z |
(+.f64 (*.f64 3 x) z) |
(+.f64 (*.f64 3 x) z) |
(+.f64 (*.f64 3 x) z) |
| Outputs |
|---|
z |
(+.f64 (*.f64 3 x) z) |
(fma.f64 3 x z) |
(+.f64 (*.f64 3 x) z) |
(fma.f64 3 x z) |
(+.f64 (*.f64 3 x) z) |
(fma.f64 3 x z) |
(*.f64 3 x) |
(+.f64 (*.f64 3 x) z) |
(fma.f64 3 x z) |
(+.f64 (*.f64 3 x) z) |
(fma.f64 3 x z) |
(+.f64 (*.f64 3 x) z) |
(fma.f64 3 x z) |
(*.f64 3 x) |
(+.f64 (*.f64 3 x) z) |
(fma.f64 3 x z) |
(+.f64 (*.f64 3 x) z) |
(fma.f64 3 x z) |
(+.f64 (*.f64 3 x) z) |
(fma.f64 3 x z) |
(*.f64 3 x) |
(+.f64 (*.f64 3 x) z) |
(fma.f64 3 x z) |
(+.f64 (*.f64 3 x) z) |
(fma.f64 3 x z) |
(+.f64 (*.f64 3 x) z) |
(fma.f64 3 x z) |
z |
(+.f64 (*.f64 3 x) z) |
(fma.f64 3 x z) |
(+.f64 (*.f64 3 x) z) |
(fma.f64 3 x z) |
(+.f64 (*.f64 3 x) z) |
(fma.f64 3 x z) |
z |
(+.f64 (*.f64 3 x) z) |
(fma.f64 3 x z) |
(+.f64 (*.f64 3 x) z) |
(fma.f64 3 x z) |
(+.f64 (*.f64 3 x) z) |
(fma.f64 3 x z) |
Compiled 8701 to 5845 computations (32.8% saved)
10 alts after pruning (2 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 375 | 1 | 376 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 7 | 8 |
| Total | 376 | 10 | 386 |
| Status | Error | Program |
|---|---|---|
| ▶ | 56.2b | (/.f64 (*.f64 x (*.f64 x 9)) (+.f64 (*.f64 3 x) (*.f64 -2 y))) |
| ✓ | 43.8b | (*.f64 x 3) |
| 42.4b | z | |
| ✓ | 21.1b | (fma.f64 3 x (*.f64 2 y)) |
| ✓ | 21.1b | (+.f64 (*.f64 3 x) (*.f64 2 y)) |
| ✓ | 39.9b | (*.f64 2 y) |
| ✓ | 23.3b | (+.f64 (*.f64 3 x) z) |
| ✓ | 19.4b | (+.f64 (*.f64 2 y) z) |
| ✓ | 23.3b | (fma.f64 x 3 z) |
| ✓ | 23.3b | (+.f64 (*.f64 2 x) (+.f64 z x)) |
Compiled 84 to 64 computations (23.8% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (+.f64 (*.f64 3 x) (*.f64 -2 y)) | |
| ✓ | 0.1b | (*.f64 x (*.f64 x 9)) |
| ✓ | 19.4b | (/.f64 (*.f64 x (*.f64 x 9)) (+.f64 (*.f64 3 x) (*.f64 -2 y))) |
Compiled 42 to 29 computations (31% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 16.0ms | x | @ | 0 | (/.f64 (*.f64 x (*.f64 x 9)) (+.f64 (*.f64 3 x) (*.f64 -2 y))) |
| 1.0ms | y | @ | inf | (/.f64 (*.f64 x (*.f64 x 9)) (+.f64 (*.f64 3 x) (*.f64 -2 y))) |
| 1.0ms | x | @ | inf | (/.f64 (*.f64 x (*.f64 x 9)) (+.f64 (*.f64 3 x) (*.f64 -2 y))) |
| 1.0ms | y | @ | -inf | (/.f64 (*.f64 x (*.f64 x 9)) (+.f64 (*.f64 3 x) (*.f64 -2 y))) |
| 0.0ms | y | @ | 0 | (/.f64 (*.f64 x (*.f64 x 9)) (+.f64 (*.f64 3 x) (*.f64 -2 y))) |
| 1× | batch-egg-rewrite |
| 658× | log-prod_binary64 |
| 408× | fma-def_binary64 |
| 320× | pow2_binary64 |
| 248× | fma-neg_binary64 |
| 226× | pow-unpow_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 24 |
| 1 | 259 | 24 |
| 2 | 3499 | 24 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 x (*.f64 x 9)) (+.f64 (*.f64 3 x) (*.f64 -2 y))) |
(*.f64 x (*.f64 x 9)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (*.f64 1/9 (/.f64 (fma.f64 x 3 (*.f64 -2 y)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (*.f64 1/9 (/.f64 (fma.f64 x 3 (*.f64 -2 y)) x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (*.f64 1/9 (/.f64 (fma.f64 x 3 (*.f64 -2 y)) x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (*.f64 1/9 (/.f64 (fma.f64 x 3 (*.f64 -2 y)) x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (*.f64 1/9 (/.f64 (fma.f64 x 3 (*.f64 -2 y)) x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (*.f64 1/9 (/.f64 (fma.f64 x 3 (*.f64 -2 y)) x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (*.f64 1/9 (/.f64 (fma.f64 x 3 (*.f64 -2 y)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (*.f64 x 9) (/.f64 1 (fma.f64 x 3 (*.f64 -2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 9) (*.f64 x (/.f64 1 (fma.f64 x 3 (*.f64 -2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x 9)) (/.f64 1 (fma.f64 x 3 (*.f64 -2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 3) (*.f64 (*.f64 x 3) (/.f64 1 (fma.f64 x 3 (*.f64 -2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 1/9 (/.f64 (fma.f64 x 3 (*.f64 -2 y)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (*.f64 1/9 (/.f64 (fma.f64 x 3 (*.f64 -2 y)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (*.f64 9 (/.f64 1 (fma.f64 x 3 (*.f64 -2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x 3)) 4) (*.f64 (pow.f64 (cbrt.f64 (*.f64 x 3)) 2) (/.f64 1 (fma.f64 x 3 (*.f64 -2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (*.f64 1/9 (/.f64 (fma.f64 x 3 (*.f64 -2 y)) x)))) (cbrt.f64 (pow.f64 (/.f64 (*.f64 x 3) (sqrt.f64 (fma.f64 x 3 (*.f64 -2 y)))) 4)))))) (#(struct:change #<rule 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 3)) 4) 1) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 3)) 2) (fma.f64 x 3 (*.f64 -2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x 3) 1) (/.f64 (*.f64 x 3) (fma.f64 x 3 (*.f64 -2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x 3 (*.f64 -2 y))) 2)) (/.f64 (*.f64 x 9) (cbrt.f64 (fma.f64 x 3 (*.f64 -2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x 9) (pow.f64 (cbrt.f64 (fma.f64 x 3 (*.f64 -2 y))) 2)) (/.f64 x (cbrt.f64 (fma.f64 x 3 (*.f64 -2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 3 (*.f64 -2 y))) -2) (/.f64 (*.f64 x (*.f64 x 9)) (cbrt.f64 (fma.f64 x 3 (*.f64 -2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (fma.f64 x 3 (*.f64 -2 y))) 2)) (/.f64 9 (cbrt.f64 (fma.f64 x 3 (*.f64 -2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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#<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 3)) 4) (sqrt.f64 (fma.f64 x 3 (*.f64 -2 y)))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 3)) 2) (sqrt.f64 (fma.f64 x 3 (*.f64 -2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (*.f64 x 9)) (fma.f64 -8 (pow.f64 y 3) (pow.f64 (*.f64 x 3) 3))) (fma.f64 (*.f64 -2 y) (-.f64 (*.f64 -2 y) (*.f64 x 3)) (*.f64 x (*.f64 x 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (*.f64 x 9)) (-.f64 (*.f64 x (*.f64 x 9)) (*.f64 4 (*.f64 y y)))) (fma.f64 x 3 (*.f64 2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (*.f64 1/9 (/.f64 (fma.f64 x 3 (*.f64 -2 y)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 x 3) (sqrt.f64 (fma.f64 x 3 (*.f64 -2 y)))) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 x 3) (sqrt.f64 (fma.f64 x 3 (*.f64 -2 y)))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (*.f64 1/9 (/.f64 (fma.f64 x 3 (*.f64 -2 y)) x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x 3) (sqrt.f64 (fma.f64 x 3 (*.f64 -2 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 x 3 (*.f64 -2 y)) (pow.f64 (*.f64 x 3) -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 x 3) 6) (pow.f64 (fma.f64 x 3 (*.f64 -2 y)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (fma.f64 x 3 (*.f64 -2 y)) (pow.f64 (*.f64 x 3) -2)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x (*.f64 x 9)) (neg.f64 (fma.f64 x 3 (*.f64 -2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 x 3) (sqrt.f64 (fma.f64 x 3 (*.f64 -2 y)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (*.f64 1/9 (/.f64 (fma.f64 x 3 (*.f64 -2 y)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (*.f64 1/9 (/.f64 (fma.f64 x 3 (*.f64 -2 y)) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 x 3) (sqrt.f64 (fma.f64 x 3 (*.f64 -2 y)))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 x 3) 6) (pow.f64 (fma.f64 x 3 (*.f64 -2 y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (*.f64 1/9 (/.f64 (fma.f64 x 3 (*.f64 -2 y)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (*.f64 1/9 (/.f64 (fma.f64 x 3 (*.f64 -2 y)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (*.f64 1/9 (/.f64 (fma.f64 x 3 (*.f64 -2 y)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 1/9 (/.f64 (fma.f64 x 3 (*.f64 -2 y)) x)))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 x 9)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 9) (*.f64 x x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 9) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 9) (*.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 9) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 9)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 3) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 3) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 3)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 3)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 3)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 3) 3) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 x 9) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 x 9) 3) (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x 3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 9) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 3) 6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 x 9) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x 9) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 9))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 x 3))) 1)))))) |
| 1× | egg-herbie |
| 620× | distribute-lft-out_binary64 |
| 600× | fma-def_binary64 |
| 555× | associate-/r*_binary64 |
| 464× | distribute-rgt-out_binary64 |
| 444× | associate-*r*_binary64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 621 |
| 1 | 127 | 621 |
| 2 | 344 | 621 |
| 3 | 1176 | 573 |
| 4 | 5728 | 546 |
| 5 | 6890 | 543 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -9/2 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 -27/4 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (*.f64 -9/2 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (*.f64 -27/4 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 -81/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (*.f64 -9/2 (/.f64 (pow.f64 x 2) y)))) |
(+.f64 (*.f64 -27/4 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 -243/16 (/.f64 (pow.f64 x 5) (pow.f64 y 4))) (+.f64 (*.f64 -81/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (*.f64 -9/2 (/.f64 (pow.f64 x 2) y))))) |
(*.f64 3 x) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) (*.f64 4/3 (/.f64 (pow.f64 y 2) x)))) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) (+.f64 (*.f64 8/9 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 4/3 (/.f64 (pow.f64 y 2) x))))) |
(*.f64 3 x) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) (*.f64 4/3 (/.f64 (pow.f64 y 2) x)))) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) (+.f64 (*.f64 8/9 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 4/3 (/.f64 (pow.f64 y 2) x))))) |
(*.f64 3 x) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) (*.f64 4/3 (/.f64 (pow.f64 y 2) x)))) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) (+.f64 (*.f64 8/9 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 4/3 (/.f64 (pow.f64 y 2) x))))) |
(*.f64 -9/2 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 -27/4 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (*.f64 -9/2 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (*.f64 -27/4 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 -81/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (*.f64 -9/2 (/.f64 (pow.f64 x 2) y)))) |
(+.f64 (*.f64 -27/4 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 -243/16 (/.f64 (pow.f64 x 5) (pow.f64 y 4))) (+.f64 (*.f64 -81/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (*.f64 -9/2 (/.f64 (pow.f64 x 2) y))))) |
(*.f64 -9/2 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 -27/4 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (*.f64 -9/2 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (*.f64 -27/4 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 -81/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (*.f64 -9/2 (/.f64 (pow.f64 x 2) y)))) |
(+.f64 (*.f64 -27/4 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 -243/16 (/.f64 (pow.f64 x 5) (pow.f64 y 4))) (+.f64 (*.f64 -81/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (*.f64 -9/2 (/.f64 (pow.f64 x 2) y))))) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 2)) |
| Outputs |
|---|
(*.f64 -9/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -9/2 (/.f64 (*.f64 x x) y)) |
(/.f64 (*.f64 -9/2 (*.f64 x x)) y) |
(*.f64 -9/2 (*.f64 (/.f64 x y) x)) |
(*.f64 -9/2 (/.f64 x (/.f64 y x))) |
(+.f64 (*.f64 -27/4 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (*.f64 -9/2 (/.f64 (pow.f64 x 2) y))) |
(fma.f64 -27/4 (/.f64 (pow.f64 x 3) (*.f64 y y)) (*.f64 -9/2 (/.f64 (*.f64 x x) y))) |
(fma.f64 -9/2 (/.f64 x (/.f64 y x)) (/.f64 (*.f64 -27/4 (pow.f64 x 3)) (*.f64 y y))) |
(fma.f64 -9/2 (*.f64 (/.f64 x y) x) (*.f64 -27/4 (/.f64 (pow.f64 x 3) (*.f64 y y)))) |
(*.f64 (/.f64 x (/.f64 y x)) (+.f64 -9/2 (*.f64 -27/4 (/.f64 x y)))) |
(+.f64 (*.f64 -27/4 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 -81/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (*.f64 -9/2 (/.f64 (pow.f64 x 2) y)))) |
(fma.f64 -27/4 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 -81/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (*.f64 -9/2 (/.f64 (*.f64 x x) y)))) |
(fma.f64 -27/4 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 -81/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (/.f64 (*.f64 -9/2 (*.f64 x x)) y))) |
(fma.f64 -27/4 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 -9/2 (*.f64 (/.f64 x y) x) (*.f64 -81/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3))))) |
(fma.f64 -81/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (*.f64 (/.f64 x (/.f64 y x)) (+.f64 -9/2 (*.f64 -27/4 (/.f64 x y))))) |
(*.f64 (/.f64 x (/.f64 y x)) (+.f64 -9/2 (*.f64 (/.f64 x y) (+.f64 -27/4 (*.f64 -81/8 (/.f64 x y)))))) |
(+.f64 (*.f64 -27/4 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 -243/16 (/.f64 (pow.f64 x 5) (pow.f64 y 4))) (+.f64 (*.f64 -81/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (*.f64 -9/2 (/.f64 (pow.f64 x 2) y))))) |
(fma.f64 -27/4 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 -243/16 (/.f64 (pow.f64 x 5) (pow.f64 y 4)) (fma.f64 -81/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (*.f64 -9/2 (/.f64 (*.f64 x x) y))))) |
(fma.f64 -27/4 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 -243/16 (/.f64 (pow.f64 x 5) (pow.f64 y 4)) (fma.f64 -81/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (/.f64 (*.f64 -9/2 (*.f64 x x)) y)))) |
(fma.f64 -27/4 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 -9/2 (*.f64 (/.f64 x y) x) (fma.f64 -81/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (*.f64 -243/16 (/.f64 (pow.f64 x 5) (pow.f64 y 4)))))) |
(fma.f64 -81/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (fma.f64 -243/16 (/.f64 (pow.f64 x 5) (pow.f64 y 4)) (*.f64 (/.f64 x (/.f64 y x)) (+.f64 -9/2 (*.f64 -27/4 (/.f64 x y)))))) |
(fma.f64 -243/16 (/.f64 (pow.f64 x 5) (pow.f64 y 4)) (*.f64 (/.f64 x (/.f64 y x)) (+.f64 -9/2 (*.f64 (/.f64 x y) (+.f64 -27/4 (*.f64 -81/8 (/.f64 x y))))))) |
(*.f64 3 x) |
(*.f64 x 3) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(fma.f64 3 x (*.f64 2 y)) |
(fma.f64 2 y (*.f64 x 3)) |
(fma.f64 x 3 (*.f64 2 y)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) (*.f64 4/3 (/.f64 (pow.f64 y 2) x)))) |
(fma.f64 3 x (fma.f64 2 y (*.f64 4/3 (/.f64 (*.f64 y y) x)))) |
(fma.f64 x 3 (fma.f64 2 y (/.f64 4/3 (/.f64 x (*.f64 y y))))) |
(fma.f64 x 3 (fma.f64 2 y (/.f64 (*.f64 y 4/3) (/.f64 x y)))) |
(fma.f64 x 3 (fma.f64 4/3 (*.f64 y (/.f64 y x)) (*.f64 2 y))) |
(fma.f64 x 3 (*.f64 y (+.f64 2 (/.f64 4/3 (/.f64 x y))))) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) (+.f64 (*.f64 8/9 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 4/3 (/.f64 (pow.f64 y 2) x))))) |
(fma.f64 3 x (fma.f64 2 y (fma.f64 8/9 (/.f64 (pow.f64 y 3) (*.f64 x x)) (*.f64 4/3 (/.f64 (*.f64 y y) x))))) |
(fma.f64 x 3 (fma.f64 2 y (fma.f64 8/9 (/.f64 (pow.f64 y 3) (*.f64 x x)) (/.f64 4/3 (/.f64 x (*.f64 y y)))))) |
(fma.f64 x 3 (fma.f64 2 y (fma.f64 4/3 (*.f64 (/.f64 y x) y) (*.f64 8/9 (/.f64 (pow.f64 y 3) (*.f64 x x)))))) |
(fma.f64 x 3 (fma.f64 2 y (*.f64 (*.f64 y (/.f64 y x)) (+.f64 4/3 (*.f64 8/9 (/.f64 y x)))))) |
(fma.f64 x 3 (*.f64 y (+.f64 2 (*.f64 (/.f64 y x) (+.f64 4/3 (*.f64 8/9 (/.f64 y x))))))) |
(*.f64 3 x) |
(*.f64 x 3) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(fma.f64 3 x (*.f64 2 y)) |
(fma.f64 2 y (*.f64 x 3)) |
(fma.f64 x 3 (*.f64 2 y)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) (*.f64 4/3 (/.f64 (pow.f64 y 2) x)))) |
(fma.f64 3 x (fma.f64 2 y (*.f64 4/3 (/.f64 (*.f64 y y) x)))) |
(fma.f64 x 3 (fma.f64 2 y (/.f64 4/3 (/.f64 x (*.f64 y y))))) |
(fma.f64 x 3 (fma.f64 2 y (/.f64 (*.f64 y 4/3) (/.f64 x y)))) |
(fma.f64 x 3 (fma.f64 4/3 (*.f64 y (/.f64 y x)) (*.f64 2 y))) |
(fma.f64 x 3 (*.f64 y (+.f64 2 (/.f64 4/3 (/.f64 x y))))) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) (+.f64 (*.f64 8/9 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 4/3 (/.f64 (pow.f64 y 2) x))))) |
(fma.f64 3 x (fma.f64 2 y (fma.f64 8/9 (/.f64 (pow.f64 y 3) (*.f64 x x)) (*.f64 4/3 (/.f64 (*.f64 y y) x))))) |
(fma.f64 x 3 (fma.f64 2 y (fma.f64 8/9 (/.f64 (pow.f64 y 3) (*.f64 x x)) (/.f64 4/3 (/.f64 x (*.f64 y y)))))) |
(fma.f64 x 3 (fma.f64 2 y (fma.f64 4/3 (*.f64 (/.f64 y x) y) (*.f64 8/9 (/.f64 (pow.f64 y 3) (*.f64 x x)))))) |
(fma.f64 x 3 (fma.f64 2 y (*.f64 (*.f64 y (/.f64 y x)) (+.f64 4/3 (*.f64 8/9 (/.f64 y x)))))) |
(fma.f64 x 3 (*.f64 y (+.f64 2 (*.f64 (/.f64 y x) (+.f64 4/3 (*.f64 8/9 (/.f64 y x))))))) |
(*.f64 3 x) |
(*.f64 x 3) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(fma.f64 3 x (*.f64 2 y)) |
(fma.f64 2 y (*.f64 x 3)) |
(fma.f64 x 3 (*.f64 2 y)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) (*.f64 4/3 (/.f64 (pow.f64 y 2) x)))) |
(fma.f64 3 x (fma.f64 2 y (*.f64 4/3 (/.f64 (*.f64 y y) x)))) |
(fma.f64 x 3 (fma.f64 2 y (/.f64 4/3 (/.f64 x (*.f64 y y))))) |
(fma.f64 x 3 (fma.f64 2 y (/.f64 (*.f64 y 4/3) (/.f64 x y)))) |
(fma.f64 x 3 (fma.f64 4/3 (*.f64 y (/.f64 y x)) (*.f64 2 y))) |
(fma.f64 x 3 (*.f64 y (+.f64 2 (/.f64 4/3 (/.f64 x y))))) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) (+.f64 (*.f64 8/9 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 4/3 (/.f64 (pow.f64 y 2) x))))) |
(fma.f64 3 x (fma.f64 2 y (fma.f64 8/9 (/.f64 (pow.f64 y 3) (*.f64 x x)) (*.f64 4/3 (/.f64 (*.f64 y y) x))))) |
(fma.f64 x 3 (fma.f64 2 y (fma.f64 8/9 (/.f64 (pow.f64 y 3) (*.f64 x x)) (/.f64 4/3 (/.f64 x (*.f64 y y)))))) |
(fma.f64 x 3 (fma.f64 2 y (fma.f64 4/3 (*.f64 (/.f64 y x) y) (*.f64 8/9 (/.f64 (pow.f64 y 3) (*.f64 x x)))))) |
(fma.f64 x 3 (fma.f64 2 y (*.f64 (*.f64 y (/.f64 y x)) (+.f64 4/3 (*.f64 8/9 (/.f64 y x)))))) |
(fma.f64 x 3 (*.f64 y (+.f64 2 (*.f64 (/.f64 y x) (+.f64 4/3 (*.f64 8/9 (/.f64 y x))))))) |
(*.f64 -9/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -9/2 (/.f64 (*.f64 x x) y)) |
(/.f64 (*.f64 -9/2 (*.f64 x x)) y) |
(*.f64 -9/2 (*.f64 (/.f64 x y) x)) |
(*.f64 -9/2 (/.f64 x (/.f64 y x))) |
(+.f64 (*.f64 -27/4 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (*.f64 -9/2 (/.f64 (pow.f64 x 2) y))) |
(fma.f64 -27/4 (/.f64 (pow.f64 x 3) (*.f64 y y)) (*.f64 -9/2 (/.f64 (*.f64 x x) y))) |
(fma.f64 -9/2 (/.f64 x (/.f64 y x)) (/.f64 (*.f64 -27/4 (pow.f64 x 3)) (*.f64 y y))) |
(fma.f64 -9/2 (*.f64 (/.f64 x y) x) (*.f64 -27/4 (/.f64 (pow.f64 x 3) (*.f64 y y)))) |
(*.f64 (/.f64 x (/.f64 y x)) (+.f64 -9/2 (*.f64 -27/4 (/.f64 x y)))) |
(+.f64 (*.f64 -27/4 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 -81/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (*.f64 -9/2 (/.f64 (pow.f64 x 2) y)))) |
(fma.f64 -27/4 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 -81/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (*.f64 -9/2 (/.f64 (*.f64 x x) y)))) |
(fma.f64 -27/4 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 -81/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (/.f64 (*.f64 -9/2 (*.f64 x x)) y))) |
(fma.f64 -27/4 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 -9/2 (*.f64 (/.f64 x y) x) (*.f64 -81/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3))))) |
(fma.f64 -81/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (*.f64 (/.f64 x (/.f64 y x)) (+.f64 -9/2 (*.f64 -27/4 (/.f64 x y))))) |
(*.f64 (/.f64 x (/.f64 y x)) (+.f64 -9/2 (*.f64 (/.f64 x y) (+.f64 -27/4 (*.f64 -81/8 (/.f64 x y)))))) |
(+.f64 (*.f64 -27/4 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 -243/16 (/.f64 (pow.f64 x 5) (pow.f64 y 4))) (+.f64 (*.f64 -81/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (*.f64 -9/2 (/.f64 (pow.f64 x 2) y))))) |
(fma.f64 -27/4 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 -243/16 (/.f64 (pow.f64 x 5) (pow.f64 y 4)) (fma.f64 -81/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (*.f64 -9/2 (/.f64 (*.f64 x x) y))))) |
(fma.f64 -27/4 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 -243/16 (/.f64 (pow.f64 x 5) (pow.f64 y 4)) (fma.f64 -81/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (/.f64 (*.f64 -9/2 (*.f64 x x)) y)))) |
(fma.f64 -27/4 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 -9/2 (*.f64 (/.f64 x y) x) (fma.f64 -81/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (*.f64 -243/16 (/.f64 (pow.f64 x 5) (pow.f64 y 4)))))) |
(fma.f64 -81/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (fma.f64 -243/16 (/.f64 (pow.f64 x 5) (pow.f64 y 4)) (*.f64 (/.f64 x (/.f64 y x)) (+.f64 -9/2 (*.f64 -27/4 (/.f64 x y)))))) |
(fma.f64 -243/16 (/.f64 (pow.f64 x 5) (pow.f64 y 4)) (*.f64 (/.f64 x (/.f64 y x)) (+.f64 -9/2 (*.f64 (/.f64 x y) (+.f64 -27/4 (*.f64 -81/8 (/.f64 x y))))))) |
(*.f64 -9/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -9/2 (/.f64 (*.f64 x x) y)) |
(/.f64 (*.f64 -9/2 (*.f64 x x)) y) |
(*.f64 -9/2 (*.f64 (/.f64 x y) x)) |
(*.f64 -9/2 (/.f64 x (/.f64 y x))) |
(+.f64 (*.f64 -27/4 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (*.f64 -9/2 (/.f64 (pow.f64 x 2) y))) |
(fma.f64 -27/4 (/.f64 (pow.f64 x 3) (*.f64 y y)) (*.f64 -9/2 (/.f64 (*.f64 x x) y))) |
(fma.f64 -9/2 (/.f64 x (/.f64 y x)) (/.f64 (*.f64 -27/4 (pow.f64 x 3)) (*.f64 y y))) |
(fma.f64 -9/2 (*.f64 (/.f64 x y) x) (*.f64 -27/4 (/.f64 (pow.f64 x 3) (*.f64 y y)))) |
(*.f64 (/.f64 x (/.f64 y x)) (+.f64 -9/2 (*.f64 -27/4 (/.f64 x y)))) |
(+.f64 (*.f64 -27/4 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 -81/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (*.f64 -9/2 (/.f64 (pow.f64 x 2) y)))) |
(fma.f64 -27/4 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 -81/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (*.f64 -9/2 (/.f64 (*.f64 x x) y)))) |
(fma.f64 -27/4 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 -81/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (/.f64 (*.f64 -9/2 (*.f64 x x)) y))) |
(fma.f64 -27/4 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 -9/2 (*.f64 (/.f64 x y) x) (*.f64 -81/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3))))) |
(fma.f64 -81/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (*.f64 (/.f64 x (/.f64 y x)) (+.f64 -9/2 (*.f64 -27/4 (/.f64 x y))))) |
(*.f64 (/.f64 x (/.f64 y x)) (+.f64 -9/2 (*.f64 (/.f64 x y) (+.f64 -27/4 (*.f64 -81/8 (/.f64 x y)))))) |
(+.f64 (*.f64 -27/4 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 -243/16 (/.f64 (pow.f64 x 5) (pow.f64 y 4))) (+.f64 (*.f64 -81/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (*.f64 -9/2 (/.f64 (pow.f64 x 2) y))))) |
(fma.f64 -27/4 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 -243/16 (/.f64 (pow.f64 x 5) (pow.f64 y 4)) (fma.f64 -81/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (*.f64 -9/2 (/.f64 (*.f64 x x) y))))) |
(fma.f64 -27/4 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 -243/16 (/.f64 (pow.f64 x 5) (pow.f64 y 4)) (fma.f64 -81/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (/.f64 (*.f64 -9/2 (*.f64 x x)) y)))) |
(fma.f64 -27/4 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 -9/2 (*.f64 (/.f64 x y) x) (fma.f64 -81/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (*.f64 -243/16 (/.f64 (pow.f64 x 5) (pow.f64 y 4)))))) |
(fma.f64 -81/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (fma.f64 -243/16 (/.f64 (pow.f64 x 5) (pow.f64 y 4)) (*.f64 (/.f64 x (/.f64 y x)) (+.f64 -9/2 (*.f64 -27/4 (/.f64 x y)))))) |
(fma.f64 -243/16 (/.f64 (pow.f64 x 5) (pow.f64 y 4)) (*.f64 (/.f64 x (/.f64 y x)) (+.f64 -9/2 (*.f64 (/.f64 x y) (+.f64 -27/4 (*.f64 -81/8 (/.f64 x y))))))) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) 9) |
(*.f64 x (*.f64 x 9)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) 9) |
(*.f64 x (*.f64 x 9)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) 9) |
(*.f64 x (*.f64 x 9)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) 9) |
(*.f64 x (*.f64 x 9)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) 9) |
(*.f64 x (*.f64 x 9)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) 9) |
(*.f64 x (*.f64 x 9)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) 9) |
(*.f64 x (*.f64 x 9)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) 9) |
(*.f64 x (*.f64 x 9)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) 9) |
(*.f64 x (*.f64 x 9)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) 9) |
(*.f64 x (*.f64 x 9)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) 9) |
(*.f64 x (*.f64 x 9)) |
(*.f64 9 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) 9) |
(*.f64 x (*.f64 x 9)) |
Compiled 2767 to 1968 computations (28.9% saved)
10 alts after pruning (1 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 129 | 0 | 129 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 8 | 8 |
| Total | 129 | 10 | 139 |
| Status | Error | Program |
|---|---|---|
| ✓ | 56.2b | (/.f64 (*.f64 x (*.f64 x 9)) (+.f64 (*.f64 3 x) (*.f64 -2 y))) |
| ✓ | 43.8b | (*.f64 x 3) |
| 42.4b | z | |
| ✓ | 21.1b | (fma.f64 3 x (*.f64 2 y)) |
| ✓ | 21.1b | (+.f64 (*.f64 3 x) (*.f64 2 y)) |
| ✓ | 39.9b | (*.f64 2 y) |
| ✓ | 23.3b | (+.f64 (*.f64 3 x) z) |
| ✓ | 19.4b | (+.f64 (*.f64 2 y) z) |
| ✓ | 23.3b | (fma.f64 x 3 z) |
| ✓ | 23.3b | (+.f64 (*.f64 2 x) (+.f64 z x)) |
Compiled 84 to 64 computations (23.8% saved)
| Inputs |
|---|
z |
(*.f64 x 3) |
(*.f64 2 y) |
(+.f64 (*.f64 3 x) z) |
(+.f64 (*.f64 2 y) z) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(+.f64 (*.f64 2 x) (+.f64 z x)) |
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) |
(/.f64 (*.f64 x (*.f64 x 9)) (+.f64 (*.f64 3 x) (*.f64 -2 y))) |
(/.f64 (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 4 (*.f64 y y))) (+.f64 (*.f64 3 x) (*.f64 -2 y))) |
(fma.f64 x 3 z) |
(fma.f64 3 x (*.f64 2 y)) |
(fma.f64 x 3 (fma.f64 y 2 z)) |
| Outputs |
|---|
(fma.f64 x 3 (fma.f64 y 2 z)) |
4 calls:
| 39.0ms | (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) |
| 8.0ms | y |
| 8.0ms | x |
| 8.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 0b | 1 | x |
| 0b | 1 | y |
| 0b | 1 | z |
| 0b | 1 | (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) |
Compiled 120 to 76 computations (36.7% saved)
| Inputs |
|---|
z |
(*.f64 x 3) |
(*.f64 2 y) |
(+.f64 (*.f64 3 x) z) |
(+.f64 (*.f64 2 y) z) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(+.f64 (*.f64 2 x) (+.f64 z x)) |
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) |
(/.f64 (*.f64 x (*.f64 x 9)) (+.f64 (*.f64 3 x) (*.f64 -2 y))) |
(/.f64 (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 4 (*.f64 y y))) (+.f64 (*.f64 3 x) (*.f64 -2 y))) |
(fma.f64 x 3 z) |
(fma.f64 3 x (*.f64 2 y)) |
| Outputs |
|---|
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) |
4 calls:
| 36.0ms | (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) |
| 8.0ms | y |
| 8.0ms | z |
| 8.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.1b | 1 | x |
| 0.1b | 1 | y |
| 0.1b | 1 | z |
| 0.1b | 1 | (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) |
Compiled 113 to 72 computations (36.3% saved)
| Inputs |
|---|
z |
(*.f64 x 3) |
(*.f64 2 y) |
(+.f64 (*.f64 3 x) z) |
(+.f64 (*.f64 2 y) z) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(+.f64 (*.f64 2 x) (+.f64 z x)) |
| Outputs |
|---|
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(+.f64 (*.f64 2 y) z) |
(+.f64 (*.f64 2 x) (+.f64 z x)) |
3 calls:
| 37.0ms | y |
| 24.0ms | z |
| 18.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 6.8b | 3 | x |
| 7.1b | 6 | y |
| 7.7b | 3 | z |
Compiled 46 to 31 computations (32.6% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 25.0ms | 6.112907165769802e+116 | 2.3400185397719987e+119 |
| 20.0ms | -8.705482660495711e-40 | -2.1986649126275866e-40 |
Compiled 20 to 13 computations (35% saved)
| Inputs |
|---|
z |
(*.f64 x 3) |
(*.f64 2 y) |
(+.f64 (*.f64 3 x) z) |
(+.f64 (*.f64 2 y) z) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
| Outputs |
|---|
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(+.f64 (*.f64 2 y) z) |
(+.f64 (*.f64 3 x) z) |
3 calls:
| 41.0ms | y |
| 24.0ms | z |
| 14.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 6.8b | 3 | x |
| 7.1b | 6 | y |
| 7.8b | 3 | z |
Compiled 39 to 27 computations (30.8% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 26.0ms | 6.112907165769802e+116 | 2.3400185397719987e+119 |
| 20.0ms | -8.705482660495711e-40 | -2.1986649126275866e-40 |
Compiled 20 to 13 computations (35% saved)
| Inputs |
|---|
z |
(*.f64 x 3) |
(*.f64 2 y) |
(+.f64 (*.f64 3 x) z) |
(+.f64 (*.f64 2 y) z) |
| Outputs |
|---|
(+.f64 (*.f64 3 x) z) |
(+.f64 (*.f64 2 y) z) |
(+.f64 (*.f64 3 x) z) |
(+.f64 (*.f64 2 y) z) |
(+.f64 (*.f64 3 x) z) |
3 calls:
| 45.0ms | y |
| 23.0ms | x |
| 21.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 6.3b | 5 | x |
| 8.2b | 3 | y |
| 15.3b | 5 | z |
Compiled 32 to 22 computations (31.3% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 48.0ms | 6.112907165769802e+116 | 2.3400185397719987e+119 |
| 20.0ms | -8.705482660495711e-40 | -2.1986649126275866e-40 |
| 56.0ms | -0.010980063189511583 | -4.976032310892211e-11 |
| 24.0ms | -1.0467538617436061e+129 | -7.08992895245057e+115 |
Compiled 20 to 13 computations (35% saved)
| Inputs |
|---|
z |
(*.f64 x 3) |
(*.f64 2 y) |
(+.f64 (*.f64 3 x) z) |
| Outputs |
|---|
(*.f64 2 y) |
(+.f64 (*.f64 3 x) z) |
(*.f64 2 y) |
(+.f64 (*.f64 3 x) z) |
(*.f64 2 y) |
3 calls:
| 77.0ms | x |
| 20.0ms | z |
| 20.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 16.2b | 9 | x |
| 11.6b | 5 | y |
| 18.4b | 5 | z |
Compiled 27 to 19 computations (29.6% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 32.0ms | 5.716805253351331e+149 | 2.367748602603681e+155 |
| 21.0ms | -1.265353894823474e+44 | -2.2072643684621455e+43 |
| 44.0ms | -4.3346927148533094e+120 | -7.78789854697518e+118 |
| 48.0ms | -2.3210420635289466e+212 | -2.7214022614004996e+211 |
Compiled 20 to 13 computations (35% saved)
| Inputs |
|---|
z |
(*.f64 x 3) |
(*.f64 2 y) |
| Outputs |
|---|
(*.f64 x 3) |
(*.f64 2 y) |
(*.f64 x 3) |
(*.f64 2 y) |
z |
(*.f64 2 y) |
z |
(*.f64 2 y) |
z |
(*.f64 2 y) |
(*.f64 x 3) |
3 calls:
| 82.0ms | x |
| 69.0ms | y |
| 63.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 22.1b | 11 | x |
| 25.7b | 6 | y |
| 24.1b | 5 | z |
Compiled 22 to 16 computations (27.3% saved)
| 10× | binary-search |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 2.3400185397719987e+119 | 3.0537214703138005e+121 |
| 18.0ms | 3.170724592141651e-157 | 5.618277542802211e-150 |
| 18.0ms | 8.135627211281429e-225 | 3.9046270384529684e-222 |
| 19.0ms | -2.071649384062286e-292 | -4.002495625520525e-294 |
| 18.0ms | -7.841576584979235e-276 | -2.2470193913280588e-277 |
| 22.0ms | -1.5697335560110443e-188 | -1.712043045154581e-191 |
| 36.0ms | -5.730454642523982e-75 | -4.0887801397237606e-81 |
| 36.0ms | -8.705482660495711e-40 | -2.1986649126275866e-40 |
| 33.0ms | -0.010980063189511583 | -4.976032310892211e-11 |
| 33.0ms | -1.0467538617436061e+129 | -7.08992895245057e+115 |
Compiled 20 to 13 computations (35% saved)
Total -31.4b remaining (-101.6%)
Threshold costs -31.4b (-101.6%)
| Inputs |
|---|
z |
(*.f64 x 3) |
| Outputs |
|---|
z |
(*.f64 x 3) |
z |
3 calls:
| 72.0ms | x |
| 42.0ms | y |
| 9.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 31.4b | 3 | x |
| 38.3b | 5 | y |
| 30.9b | 3 | z |
Compiled 19 to 14 computations (26.3% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 21.0ms | 6.16539763804e+70 | 8.583284253233103e+75 |
| 21.0ms | -7.579531565352611e+48 | -2.464348275820466e+46 |
Compiled 20 to 13 computations (35% saved)
| 1× | egg-herbie |
| 10× | +-commutative_binary64 |
| 3× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 80 | 323 |
| 1 | 94 | 323 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 x 3 (fma.f64 y 2 z)) |
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) |
(if (<=.f64 x -5336445343317997/6129982163463555433433388108601236734474956488734408704) (+.f64 (*.f64 3 x) (*.f64 2 y)) (if (<=.f64 x 611290716576980195094347575306096490745869251135121853604699357372457372505132883812268032635646023253437833178775552) (+.f64 (*.f64 2 y) z) (+.f64 (*.f64 2 x) (+.f64 z x)))) |
(if (<=.f64 x -5336445343317997/6129982163463555433433388108601236734474956488734408704) (+.f64 (*.f64 3 x) (*.f64 2 y)) (if (<=.f64 x 611290716576980195094347575306096490745869251135121853604699357372457372505132883812268032635646023253437833178775552) (+.f64 (*.f64 2 y) z) (+.f64 (*.f64 3 x) z))) |
(if (<=.f64 x -1046753861743606107148760889839194934678439375005893455139631739126288499087237531117495482115202070815823708493797222699505811456) (+.f64 (*.f64 3 x) z) (if (<=.f64 x -6329575486564975/576460752303423488) (+.f64 (*.f64 2 y) z) (if (<=.f64 x -5336445343317997/6129982163463555433433388108601236734474956488734408704) (+.f64 (*.f64 3 x) z) (if (<=.f64 x 611290716576980195094347575306096490745869251135121853604699357372457372505132883812268032635646023253437833178775552) (+.f64 (*.f64 2 y) z) (+.f64 (*.f64 3 x) z))))) |
(if (<=.f64 y -232104206352894664255421670853127483214602936261056630470923314044319812999108150874751274552438391549783436637370800915793051239471676249261691636335420778171424414668526342723806420048025923132214340269029457920) (*.f64 2 y) (if (<=.f64 y -4334692714853309438234997616747486318819602574928515569796842387970686730006424874221886815938104890831540478179637460992) (+.f64 (*.f64 3 x) z) (if (<=.f64 y -126535389482347391137389617601367972125868032) (*.f64 2 y) (if (<=.f64 y 571680525335133091471722998139753139956537212584864122330700821217733400043198897457756345695013284344360020433466785251515455551937370129387545952256) (+.f64 (*.f64 3 x) z) (*.f64 2 y))))) |
(if (<=.f64 x -1046753861743606107148760889839194934678439375005893455139631739126288499087237531117495482115202070815823708493797222699505811456) (*.f64 x 3) (if (<=.f64 x -6329575486564975/576460752303423488) (*.f64 2 y) (if (<=.f64 x -5336445343317997/6129982163463555433433388108601236734474956488734408704) (*.f64 x 3) (if (<=.f64 x -1459142783446791/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672) (*.f64 2 y) (if (<=.f64 x -4921562572621637/313528531882069915964662425689704934689422834087799421518938595239444503444259215719322355763768461419760165742407930953086580768238532773442734168210737755891992072530296122920016274326105279759841755136) z (if (<=.f64 x -4890792074564115/623700096729599941142616472824012051896078518886080481719546013261628716209051270557799364216448656590419514638810154763741386871372998018980991186964009818850001772797214273911730537951363433494579173982669976247915878267225271996527767271390013799220975283398673763013237029759482503102464) (*.f64 2 y) (if (<=.f64 x -2327618672231573/11235582092889474423308157442431404585112356118389416079589380072358292237843810195794279832650471001320007117491962084853674360550901038905802964414967132773610493339054092829768888725077880882465817684505312860552384417646403930092119569408801702322709406917786643639996702871154982269052209770601514008576) z (if (<=.f64 x 6781059958169331/833501804109981784259981473840157224643094790289488520049532226470504654727204008940179025108944286342866238824179155055736100206764920635045419506541353755761894697439251819807884785738976753091120627016985825247711343504684557661395484672) (*.f64 2 y) (if (<=.f64 x 4901353664594001/15458150092069033378781407563727949377195709318825739994628941005806076569158241698144775066327690311849854464126008708709460314644171950622971634693868322994787923259293696) z (if (<=.f64 x 234001853977199873791193490824747107940919929298950353180584143738795889076259112033684455044602204813472804722117181440) (*.f64 2 y) (*.f64 x 3))))))))))) |
(if (<=.f64 z -7579531565352610836464553102238205057962484957184) z (if (<=.f64 z 61653976380399997114027911757833609376602810959659364315206014426152960) (*.f64 x 3) z)) |
z |
| Outputs |
|---|
(fma.f64 x 3 (fma.f64 y 2 z)) |
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) |
(+.f64 x (+.f64 z (+.f64 x (+.f64 y (+.f64 x y))))) |
(if (<=.f64 x -5336445343317997/6129982163463555433433388108601236734474956488734408704) (+.f64 (*.f64 3 x) (*.f64 2 y)) (if (<=.f64 x 611290716576980195094347575306096490745869251135121853604699357372457372505132883812268032635646023253437833178775552) (+.f64 (*.f64 2 y) z) (+.f64 (*.f64 2 x) (+.f64 z x)))) |
(if (<=.f64 x -5336445343317997/6129982163463555433433388108601236734474956488734408704) (+.f64 (*.f64 y 2) (*.f64 x 3)) (if (<=.f64 x 611290716576980195094347575306096490745869251135121853604699357372457372505132883812268032635646023253437833178775552) (+.f64 z (*.f64 y 2)) (+.f64 (*.f64 x 2) (+.f64 x z)))) |
(if (<=.f64 x -5336445343317997/6129982163463555433433388108601236734474956488734408704) (+.f64 (*.f64 3 x) (*.f64 2 y)) (if (<=.f64 x 611290716576980195094347575306096490745869251135121853604699357372457372505132883812268032635646023253437833178775552) (+.f64 (*.f64 2 y) z) (+.f64 (*.f64 3 x) z))) |
(if (<=.f64 x -5336445343317997/6129982163463555433433388108601236734474956488734408704) (+.f64 (*.f64 y 2) (*.f64 x 3)) (if (<=.f64 x 611290716576980195094347575306096490745869251135121853604699357372457372505132883812268032635646023253437833178775552) (+.f64 z (*.f64 y 2)) (+.f64 z (*.f64 x 3)))) |
(if (<=.f64 x -1046753861743606107148760889839194934678439375005893455139631739126288499087237531117495482115202070815823708493797222699505811456) (+.f64 (*.f64 3 x) z) (if (<=.f64 x -6329575486564975/576460752303423488) (+.f64 (*.f64 2 y) z) (if (<=.f64 x -5336445343317997/6129982163463555433433388108601236734474956488734408704) (+.f64 (*.f64 3 x) z) (if (<=.f64 x 611290716576980195094347575306096490745869251135121853604699357372457372505132883812268032635646023253437833178775552) (+.f64 (*.f64 2 y) z) (+.f64 (*.f64 3 x) z))))) |
(if (<=.f64 x -1046753861743606107148760889839194934678439375005893455139631739126288499087237531117495482115202070815823708493797222699505811456) (+.f64 z (*.f64 x 3)) (if (<=.f64 x -6329575486564975/576460752303423488) (+.f64 z (*.f64 y 2)) (if (<=.f64 x -5336445343317997/6129982163463555433433388108601236734474956488734408704) (+.f64 z (*.f64 x 3)) (if (<=.f64 x 611290716576980195094347575306096490745869251135121853604699357372457372505132883812268032635646023253437833178775552) (+.f64 z (*.f64 y 2)) (+.f64 z (*.f64 x 3)))))) |
(if (<=.f64 y -232104206352894664255421670853127483214602936261056630470923314044319812999108150874751274552438391549783436637370800915793051239471676249261691636335420778171424414668526342723806420048025923132214340269029457920) (*.f64 2 y) (if (<=.f64 y -4334692714853309438234997616747486318819602574928515569796842387970686730006424874221886815938104890831540478179637460992) (+.f64 (*.f64 3 x) z) (if (<=.f64 y -126535389482347391137389617601367972125868032) (*.f64 2 y) (if (<=.f64 y 571680525335133091471722998139753139956537212584864122330700821217733400043198897457756345695013284344360020433466785251515455551937370129387545952256) (+.f64 (*.f64 3 x) z) (*.f64 2 y))))) |
(if (<=.f64 y -232104206352894664255421670853127483214602936261056630470923314044319812999108150874751274552438391549783436637370800915793051239471676249261691636335420778171424414668526342723806420048025923132214340269029457920) (*.f64 y 2) (if (<=.f64 y -4334692714853309438234997616747486318819602574928515569796842387970686730006424874221886815938104890831540478179637460992) (+.f64 z (*.f64 x 3)) (if (<=.f64 y -126535389482347391137389617601367972125868032) (*.f64 y 2) (if (<=.f64 y 571680525335133091471722998139753139956537212584864122330700821217733400043198897457756345695013284344360020433466785251515455551937370129387545952256) (+.f64 z (*.f64 x 3)) (*.f64 y 2))))) |
(if (<=.f64 x -1046753861743606107148760889839194934678439375005893455139631739126288499087237531117495482115202070815823708493797222699505811456) (*.f64 x 3) (if (<=.f64 x -6329575486564975/576460752303423488) (*.f64 2 y) (if (<=.f64 x -5336445343317997/6129982163463555433433388108601236734474956488734408704) (*.f64 x 3) (if (<=.f64 x -1459142783446791/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672) (*.f64 2 y) (if (<=.f64 x -4921562572621637/313528531882069915964662425689704934689422834087799421518938595239444503444259215719322355763768461419760165742407930953086580768238532773442734168210737755891992072530296122920016274326105279759841755136) z (if (<=.f64 x -4890792074564115/623700096729599941142616472824012051896078518886080481719546013261628716209051270557799364216448656590419514638810154763741386871372998018980991186964009818850001772797214273911730537951363433494579173982669976247915878267225271996527767271390013799220975283398673763013237029759482503102464) (*.f64 2 y) (if (<=.f64 x -2327618672231573/11235582092889474423308157442431404585112356118389416079589380072358292237843810195794279832650471001320007117491962084853674360550901038905802964414967132773610493339054092829768888725077880882465817684505312860552384417646403930092119569408801702322709406917786643639996702871154982269052209770601514008576) z (if (<=.f64 x 6781059958169331/833501804109981784259981473840157224643094790289488520049532226470504654727204008940179025108944286342866238824179155055736100206764920635045419506541353755761894697439251819807884785738976753091120627016985825247711343504684557661395484672) (*.f64 2 y) (if (<=.f64 x 4901353664594001/15458150092069033378781407563727949377195709318825739994628941005806076569158241698144775066327690311849854464126008708709460314644171950622971634693868322994787923259293696) z (if (<=.f64 x 234001853977199873791193490824747107940919929298950353180584143738795889076259112033684455044602204813472804722117181440) (*.f64 2 y) (*.f64 x 3))))))))))) |
(if (<=.f64 x -1046753861743606107148760889839194934678439375005893455139631739126288499087237531117495482115202070815823708493797222699505811456) (*.f64 x 3) (if (<=.f64 x -6329575486564975/576460752303423488) (*.f64 y 2) (if (<=.f64 x -5336445343317997/6129982163463555433433388108601236734474956488734408704) (*.f64 x 3) (if (<=.f64 x -1459142783446791/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672) (*.f64 y 2) (if (<=.f64 x -4921562572621637/313528531882069915964662425689704934689422834087799421518938595239444503444259215719322355763768461419760165742407930953086580768238532773442734168210737755891992072530296122920016274326105279759841755136) z (if (<=.f64 x -4890792074564115/623700096729599941142616472824012051896078518886080481719546013261628716209051270557799364216448656590419514638810154763741386871372998018980991186964009818850001772797214273911730537951363433494579173982669976247915878267225271996527767271390013799220975283398673763013237029759482503102464) (*.f64 y 2) (if (<=.f64 x -2327618672231573/11235582092889474423308157442431404585112356118389416079589380072358292237843810195794279832650471001320007117491962084853674360550901038905802964414967132773610493339054092829768888725077880882465817684505312860552384417646403930092119569408801702322709406917786643639996702871154982269052209770601514008576) z (if (<=.f64 x 6781059958169331/833501804109981784259981473840157224643094790289488520049532226470504654727204008940179025108944286342866238824179155055736100206764920635045419506541353755761894697439251819807884785738976753091120627016985825247711343504684557661395484672) (*.f64 y 2) (if (<=.f64 x 4901353664594001/15458150092069033378781407563727949377195709318825739994628941005806076569158241698144775066327690311849854464126008708709460314644171950622971634693868322994787923259293696) z (if (<=.f64 x 234001853977199873791193490824747107940919929298950353180584143738795889076259112033684455044602204813472804722117181440) (*.f64 y 2) (*.f64 x 3))))))))))) |
(if (<=.f64 z -7579531565352610836464553102238205057962484957184) z (if (<=.f64 z 61653976380399997114027911757833609376602810959659364315206014426152960) (*.f64 x 3) z)) |
z |
Compiled 254 to 176 computations (30.7% saved)
| 1× | egg-herbie |
| 123× | associate-+l+_binary64 |
| 65× | associate-+r+_binary64 |
| 54× | fma-def_binary64 |
| 16× | +-commutative_binary64 |
| 4× | *-commutative_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 16 |
| 1 | 22 | 13 |
| 2 | 67 | 11 |
| 3 | 177 | 11 |
| 4 | 297 | 9 |
| 5 | 323 | 9 |
| 6 | 329 | 9 |
| 1× | saturated |
Compiled 201 to 132 computations (34.3% saved)
Compiled 230 to 152 computations (33.9% saved)
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