Time bar (total: 2.4s)
| 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 |
| 25% | 72.5% | 2.5% | 9 |
| 34.3% | 59.3% | 6.4% | 10 |
| 40.6% | 51.3% | 8.1% | 11 |
| 46.8% | 43.2% | 10% | 12 |
Compiled 11 to 7 computations (36.4% saved)
| 857.0ms | 8256× | body | 256 | valid |
| 108.0ms | 1130× | body | 256 | invalid |
| 2× | egg-herbie |
| 188× | fma-def_binary64 |
| 24× | +-commutative_binary64 |
| 22× | distribute-rgt-in_binary64 |
| 18× | *-commutative_binary64 |
| 16× | associate-+l+_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 40 |
| 1 | 42 | 32 |
| 2 | 130 | 32 |
| 3 | 181 | 32 |
| 4 | 200 | 32 |
| 5 | 226 | 32 |
| 6 | 250 | 32 |
| 7 | 322 | 32 |
| 8 | 395 | 32 |
| 9 | 414 | 32 |
| 10 | 418 | 32 |
| 0 | 3 | 3 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
1 |
2 |
| Outputs |
|---|
0 |
1 |
2 |
| Inputs |
|---|
(+.f64 x (*.f64 y (+.f64 z x))) |
(+.f64 y (*.f64 x (+.f64 z y))) |
(+.f64 z (*.f64 y (+.f64 x z))) |
(+.f64 x (*.f64 z (+.f64 y x))) |
| Outputs |
|---|
(+.f64 x (*.f64 y (+.f64 z x))) |
(+.f64 x (*.f64 y (+.f64 x z))) |
(fma.f64 y (+.f64 x z) x) |
(+.f64 y (*.f64 x (+.f64 z y))) |
(+.f64 y (*.f64 x (+.f64 y z))) |
(fma.f64 x (+.f64 y z) y) |
(+.f64 z (*.f64 y (+.f64 x z))) |
(fma.f64 y (+.f64 x z) z) |
(+.f64 x (*.f64 z (+.f64 y x))) |
(+.f64 x (*.f64 z (+.f64 x y))) |
(fma.f64 z (+.f64 x y) x) |
Compiled 13 to 9 computations (30.8% saved)
| 1× | egg-herbie |
| 66× | fma-def_binary64 |
| 8× | +-commutative_binary64 |
| 8× | associate-*r*_binary64 |
| 8× | associate-*l*_binary64 |
| 6× | *-commutative_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 16 | 8 |
| 2 | 35 | 8 |
| 3 | 50 | 8 |
| 4 | 59 | 8 |
| 5 | 66 | 8 |
| 6 | 72 | 8 |
| 7 | 91 | 8 |
| 8 | 107 | 8 |
| 9 | 121 | 8 |
| 10 | 139 | 8 |
| 11 | 146 | 8 |
| 12 | 147 | 8 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 x (*.f64 y (+.f64 z x))) |
| Outputs |
|---|
(+.f64 x (*.f64 y (+.f64 z x))) |
(+.f64 x (*.f64 y (+.f64 x z))) |
(fma.f64 y (+.f64 x z) x) |
Compiled 16 to 8 computations (50% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 2 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.0b | (fma.f64 y (+.f64 x z) x) |
| ▶ | 0.0b | (+.f64 x (*.f64 y (+.f64 z x))) |
Compiled 19 to 11 computations (42.1% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 x (*.f64 y (+.f64 z x))) |
| ✓ | 0.0b | (*.f64 y (+.f64 z x)) |
Compiled 21 to 6 computations (71.4% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | 0 | (+.f64 x (*.f64 y (+.f64 z x))) |
| 1.0ms | y | @ | 0 | (*.f64 y (+.f64 z x)) |
| 1.0ms | z | @ | -inf | (*.f64 y (+.f64 z x)) |
| 1.0ms | y | @ | inf | (+.f64 x (*.f64 y (+.f64 z x))) |
| 1.0ms | y | @ | inf | (*.f64 y (+.f64 z x)) |
| 1× | batch-egg-rewrite |
| 620× | unpow-prod-down_binary64 |
| 444× | fma-def_binary64 |
| 429× | log-prod_binary64 |
| 348× | pow-prod-down_binary64 |
| 234× | pow2_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 17 |
| 1 | 163 | 15 |
| 2 | 2595 | 15 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 y (+.f64 z x)) |
(+.f64 x (*.f64 y (+.f64 z x))) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 y (+.f64 z x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 y (+.f64 z x)))) (/.f64 (pow.f64 (*.f64 y (+.f64 z x)) 2) (-.f64 x (*.f64 y (+.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y (+.f64 z x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y (+.f64 z x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y (+.f64 z x) x)) (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 z x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 z x) x)) 2) (cbrt.f64 (fma.f64 y (+.f64 z x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y (+.f64 z x) x)) (sqrt.f64 (fma.f64 y (+.f64 z x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (+.f64 z x)) 3)) (/.f64 1 (fma.f64 (*.f64 y (+.f64 z x)) (fma.f64 y (+.f64 z x) 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y (+.f64 z x) x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y (+.f64 z x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y (+.f64 z x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y (+.f64 z x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 y (+.f64 z x)) (fma.f64 y (+.f64 z x) (neg.f64 x)) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (+.f64 z x)) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x (*.f64 y (+.f64 z x))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (+.f64 z x)) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y (+.f64 z x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y (+.f64 z x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (+.f64 z x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (pow.f64 (exp.f64 y) (+.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (*.f64 y (+.f64 z x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (*.f64 y (+.f64 z x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 y (+.f64 z x)))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 y) (+.f64 z x)) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 y (+.f64 z x)))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y (+.f64 z x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y (+.f64 z x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y (+.f64 z x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y (+.f64 z x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 y (+.f64 z x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 y (+.f64 z x) x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 y (+.f64 z x) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 y (+.f64 z x) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 y (+.f64 z x) x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y z (fma.f64 y x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (+.f64 z x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z y (fma.f64 y x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 y (+.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 z x) y x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (+.f64 z x)) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 y (+.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y (+.f64 z x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y z) (fma.f64 y x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) (pow.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) 2) (cbrt.f64 (*.f64 y (+.f64 z x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) y) (fma.f64 y x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 z x)) 2) (*.f64 (cbrt.f64 (+.f64 z x)) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (+.f64 z x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) z) (fma.f64 y x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 y (+.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y (+.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y (+.f64 z x))) (sqrt.f64 (*.f64 y (+.f64 z x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) y) (fma.f64 y x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 z x)) (*.f64 (sqrt.f64 (+.f64 z x)) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (+.f64 z x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) z) (fma.f64 y x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (+.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (cbrt.f64 (*.f64 y z)) (fma.f64 y x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 (*.f64 y z)) (fma.f64 y x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (fma.f64 y x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y) (fma.f64 y x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (+.f64 z x)) 2)) (cbrt.f64 (+.f64 z x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 (+.f64 z x))) (sqrt.f64 (+.f64 z x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 z x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 z x) (sqrt.f64 y)) (sqrt.f64 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (fma.f64 y x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z) (fma.f64 y x x)))))) |
| 1× | egg-herbie |
| 310× | fma-neg_binary64 |
| 256× | fma-def_binary64 |
| 76× | cancel-sign-sub-inv_binary64 |
| 62× | distribute-rgt-in_binary64 |
| 47× | unsub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 408 |
| 1 | 54 | 408 |
| 2 | 104 | 408 |
| 3 | 204 | 408 |
| 4 | 353 | 408 |
| 5 | 662 | 408 |
| 6 | 1092 | 408 |
| 7 | 1406 | 408 |
| 8 | 1430 | 408 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 y x) |
(+.f64 (*.f64 y z) (*.f64 y x)) |
(+.f64 (*.f64 y z) (*.f64 y x)) |
(+.f64 (*.f64 y z) (*.f64 y x)) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (*.f64 y x)) |
(+.f64 (*.f64 y z) (*.f64 y x)) |
(+.f64 (*.f64 y z) (*.f64 y x)) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (*.f64 y x)) |
(+.f64 (*.f64 y z) (*.f64 y x)) |
(+.f64 (*.f64 y z) (*.f64 y x)) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (*.f64 y x)) |
(+.f64 (*.f64 y z) (*.f64 y x)) |
(+.f64 (*.f64 y z) (*.f64 y x)) |
(*.f64 y x) |
(+.f64 (*.f64 y z) (*.f64 y x)) |
(+.f64 (*.f64 y z) (*.f64 y x)) |
(+.f64 (*.f64 y z) (*.f64 y x)) |
(*.f64 y x) |
(+.f64 (*.f64 y z) (*.f64 y x)) |
(+.f64 (*.f64 y z) (*.f64 y x)) |
(+.f64 (*.f64 y z) (*.f64 y x)) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 y) x)) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 y) x)) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 y) x)) |
(*.f64 (+.f64 1 y) x) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 y) x)) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 y) x)) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 y) x)) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x)) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x))) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x))) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x))) |
x |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(*.f64 y (+.f64 z x)) |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(*.f64 y (+.f64 z x)) |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(+.f64 (*.f64 y x) x) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x)) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x)) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x)) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x)) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x)) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x)) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x)) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x)) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x)) |
| Outputs |
|---|
(*.f64 y x) |
(+.f64 (*.f64 y z) (*.f64 y x)) |
(*.f64 y (+.f64 x z)) |
(+.f64 (*.f64 y z) (*.f64 y x)) |
(*.f64 y (+.f64 x z)) |
(+.f64 (*.f64 y z) (*.f64 y x)) |
(*.f64 y (+.f64 x z)) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (*.f64 y x)) |
(*.f64 y (+.f64 x z)) |
(+.f64 (*.f64 y z) (*.f64 y x)) |
(*.f64 y (+.f64 x z)) |
(+.f64 (*.f64 y z) (*.f64 y x)) |
(*.f64 y (+.f64 x z)) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (*.f64 y x)) |
(*.f64 y (+.f64 x z)) |
(+.f64 (*.f64 y z) (*.f64 y x)) |
(*.f64 y (+.f64 x z)) |
(+.f64 (*.f64 y z) (*.f64 y x)) |
(*.f64 y (+.f64 x z)) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (*.f64 y x)) |
(*.f64 y (+.f64 x z)) |
(+.f64 (*.f64 y z) (*.f64 y x)) |
(*.f64 y (+.f64 x z)) |
(+.f64 (*.f64 y z) (*.f64 y x)) |
(*.f64 y (+.f64 x z)) |
(*.f64 y x) |
(+.f64 (*.f64 y z) (*.f64 y x)) |
(*.f64 y (+.f64 x z)) |
(+.f64 (*.f64 y z) (*.f64 y x)) |
(*.f64 y (+.f64 x z)) |
(+.f64 (*.f64 y z) (*.f64 y x)) |
(*.f64 y (+.f64 x z)) |
(*.f64 y x) |
(+.f64 (*.f64 y z) (*.f64 y x)) |
(*.f64 y (+.f64 x z)) |
(+.f64 (*.f64 y z) (*.f64 y x)) |
(*.f64 y (+.f64 x z)) |
(+.f64 (*.f64 y z) (*.f64 y x)) |
(*.f64 y (+.f64 x z)) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 y) x)) |
(fma.f64 y (+.f64 x z) x) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 y) x)) |
(fma.f64 y (+.f64 x z) x) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 y) x)) |
(fma.f64 y (+.f64 x z) x) |
(*.f64 (+.f64 1 y) x) |
(fma.f64 y x x) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 y) x)) |
(fma.f64 y (+.f64 x z) x) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 y) x)) |
(fma.f64 y (+.f64 x z) x) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 y) x)) |
(fma.f64 y (+.f64 x z) x) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x)) |
(fma.f64 y x x) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x))) |
(fma.f64 y (+.f64 x z) x) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x))) |
(fma.f64 y (+.f64 x z) x) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x))) |
(fma.f64 y (+.f64 x z) x) |
x |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(fma.f64 y (+.f64 x z) x) |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(fma.f64 y (+.f64 x z) x) |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(fma.f64 y (+.f64 x z) x) |
(*.f64 y (+.f64 z x)) |
(*.f64 y (+.f64 x z)) |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(fma.f64 y (+.f64 x z) x) |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(fma.f64 y (+.f64 x z) x) |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(fma.f64 y (+.f64 x z) x) |
(*.f64 y (+.f64 z x)) |
(*.f64 y (+.f64 x z)) |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(fma.f64 y (+.f64 x z) x) |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(fma.f64 y (+.f64 x z) x) |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(fma.f64 y (+.f64 x z) x) |
(+.f64 (*.f64 y x) x) |
(fma.f64 y x x) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x)) |
(fma.f64 y (+.f64 x z) x) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x)) |
(fma.f64 y (+.f64 x z) x) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x)) |
(fma.f64 y (+.f64 x z) x) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x)) |
(fma.f64 y (+.f64 x z) x) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x)) |
(fma.f64 y (+.f64 x z) x) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x)) |
(fma.f64 y (+.f64 x z) x) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x)) |
(fma.f64 y (+.f64 x z) x) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x)) |
(fma.f64 y (+.f64 x z) x) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x)) |
(fma.f64 y (+.f64 x z) x) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (fma.f64 y (+.f64 x z) x) |
Compiled 15 to 5 computations (66.7% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (fma.f64 y (+.f64 x z) x) |
| 0.0ms | y | @ | -inf | (fma.f64 y (+.f64 x z) x) |
| 0.0ms | y | @ | inf | (fma.f64 y (+.f64 x z) x) |
| 0.0ms | x | @ | inf | (fma.f64 y (+.f64 x z) x) |
| 0.0ms | y | @ | 0 | (fma.f64 y (+.f64 x z) x) |
| 1× | batch-egg-rewrite |
| 730× | pow1_binary64 |
| 677× | add-log-exp_binary64 |
| 677× | log1p-expm1-u_binary64 |
| 677× | expm1-log1p-u_binary64 |
| 661× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 8 |
| 1 | 129 | 8 |
| 2 | 1789 | 8 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 y (+.f64 x z) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 y (+.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (+.f64 x z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y (+.f64 x z)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 y (+.f64 x z) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y (+.f64 x z) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y (+.f64 x z) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) x)) (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) x)) 2) (cbrt.f64 (fma.f64 y (+.f64 x z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) x)) (sqrt.f64 (fma.f64 y (+.f64 x z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x z)) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 y (+.f64 x z)) (*.f64 y (+.f64 x z))) (-.f64 (*.f64 x x) (*.f64 (*.f64 y (+.f64 x z)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 y (+.f64 x z)) (*.f64 y (+.f64 x z))) (*.f64 x x)) (-.f64 (*.f64 y (+.f64 x z)) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y (+.f64 x z) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y (+.f64 x z) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y (+.f64 x z) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y (+.f64 x z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x z) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y (+.f64 x z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y (+.f64 x z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y (+.f64 x z) x))))))) |
| 1× | egg-herbie |
| 318× | fma-neg_binary64 |
| 256× | fma-def_binary64 |
| 81× | cancel-sign-sub-inv_binary64 |
| 63× | distribute-rgt-in_binary64 |
| 46× | unsub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 258 |
| 1 | 52 | 258 |
| 2 | 101 | 258 |
| 3 | 202 | 258 |
| 4 | 349 | 258 |
| 5 | 659 | 258 |
| 6 | 1099 | 258 |
| 7 | 1423 | 258 |
| 8 | 1447 | 258 |
| 1× | saturated |
| Inputs |
|---|
x |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(*.f64 y (+.f64 z x)) |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(*.f64 y (+.f64 z x)) |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 y) x)) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 y) x)) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 y) x)) |
(*.f64 (+.f64 1 y) x) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 y) x)) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 y) x)) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 y) x)) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x)) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x))) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x))) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x))) |
(+.f64 (*.f64 y x) x) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x)) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x)) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x)) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x)) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x)) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x)) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x)) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x)) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x)) |
| Outputs |
|---|
x |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(fma.f64 y (+.f64 x z) x) |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(fma.f64 y (+.f64 x z) x) |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(fma.f64 y (+.f64 x z) x) |
(*.f64 y (+.f64 z x)) |
(*.f64 y (+.f64 x z)) |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(fma.f64 y (+.f64 x z) x) |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(fma.f64 y (+.f64 x z) x) |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(fma.f64 y (+.f64 x z) x) |
(*.f64 y (+.f64 z x)) |
(*.f64 y (+.f64 x z)) |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(fma.f64 y (+.f64 x z) x) |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(fma.f64 y (+.f64 x z) x) |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(fma.f64 y (+.f64 x z) x) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 y) x)) |
(fma.f64 y (+.f64 x z) x) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 y) x)) |
(fma.f64 y (+.f64 x z) x) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 y) x)) |
(fma.f64 y (+.f64 x z) x) |
(*.f64 (+.f64 1 y) x) |
(fma.f64 y x x) |
(fma.f64 x y x) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 y) x)) |
(fma.f64 y (+.f64 x z) x) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 y) x)) |
(fma.f64 y (+.f64 x z) x) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 y) x)) |
(fma.f64 y (+.f64 x z) x) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x)) |
(fma.f64 y x x) |
(fma.f64 x y x) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x))) |
(fma.f64 y (+.f64 x z) x) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x))) |
(fma.f64 y (+.f64 x z) x) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x))) |
(fma.f64 y (+.f64 x z) x) |
(+.f64 (*.f64 y x) x) |
(fma.f64 y x x) |
(fma.f64 x y x) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x)) |
(fma.f64 y (+.f64 x z) x) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x)) |
(fma.f64 y (+.f64 x z) x) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x)) |
(fma.f64 y (+.f64 x z) x) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x)) |
(fma.f64 y (+.f64 x z) x) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x)) |
(fma.f64 y (+.f64 x z) x) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x)) |
(fma.f64 y (+.f64 x z) x) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x)) |
(fma.f64 y (+.f64 x z) x) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x)) |
(fma.f64 y (+.f64 x z) x) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x)) |
(fma.f64 y (+.f64 x z) x) |
Compiled 2338 to 702 computations (70% saved)
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 183 | 6 | 189 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 0 | 1 |
| Total | 184 | 7 | 191 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (fma.f64 y (+.f64 x z) x) |
| 33.5b | x | |
| ▶ | 40.7b | (*.f64 y z) |
| ▶ | 29.5b | (*.f64 y (+.f64 z x)) |
| ▶ | 12.1b | (+.f64 x (*.f64 y z)) |
| ▶ | 0.0b | (+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x)) |
| ▶ | 21.9b | (+.f64 (*.f64 y x) x) |
Compiled 97 to 60 computations (38.1% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 y x) x) |
| ✓ | 0.0b | (+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x)) |
Compiled 26 to 7 computations (73.1% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | inf | (+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x)) |
| 1.0ms | y | @ | 0 | (+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x)) |
| 0.0ms | y | @ | -inf | (+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x)) |
| 0.0ms | z | @ | 0 | (+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x)) |
| 0.0ms | z | @ | -inf | (+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x)) |
| 1× | batch-egg-rewrite |
| 638× | fma-def_binary64 |
| 496× | log-prod_binary64 |
| 402× | pow-prod-down_binary64 |
| 325× | fma-neg_binary64 |
| 257× | pow2_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 14 |
| 1 | 184 | 14 |
| 2 | 2808 | 13 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x)) |
(+.f64 (*.f64 y x) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 y (+.f64 z x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 y z) 2) (-.f64 (*.f64 y z) (fma.f64 y x x))) (/.f64 (pow.f64 (fma.f64 y x x) 2) (-.f64 (*.f64 y z) (fma.f64 y x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y (+.f64 z x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y (+.f64 z x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y (+.f64 z x) x)) (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 z x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 z x) x)) 2) (cbrt.f64 (fma.f64 y (+.f64 z x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y (+.f64 z x) x)) (sqrt.f64 (fma.f64 y (+.f64 z x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 (fma.f64 y x x) 3)) (/.f64 1 (fma.f64 (fma.f64 y x x) (-.f64 (fma.f64 y x x) (*.f64 y z)) (pow.f64 (*.f64 y z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 y z) 2) (pow.f64 (fma.f64 y x x) 2)) (/.f64 1 (-.f64 (*.f64 y z) (fma.f64 y x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (fma.f64 y x x) (-.f64 (fma.f64 y x x) (*.f64 y z)) (pow.f64 (*.f64 y z) 2)) (+.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 (fma.f64 y x x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 y z) (fma.f64 y x x)) (-.f64 (pow.f64 (*.f64 y z) 2) (pow.f64 (fma.f64 y x x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 (fma.f64 y x x) 3)) (fma.f64 (fma.f64 y x x) (-.f64 (fma.f64 y x x) (*.f64 y z)) (pow.f64 (*.f64 y z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 (fma.f64 y x x) 3)) (+.f64 (pow.f64 (fma.f64 y x x) 2) (-.f64 (pow.f64 (*.f64 y z) 2) (*.f64 y (*.f64 z (fma.f64 y x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y z) 2) (pow.f64 (fma.f64 y x x) 2)) (-.f64 (*.f64 y z) (fma.f64 y x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 (fma.f64 y x x) 3))) (neg.f64 (fma.f64 (fma.f64 y x x) (-.f64 (fma.f64 y x x) (*.f64 y z)) (pow.f64 (*.f64 y z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y z) 2) (pow.f64 (fma.f64 y x x) 2))) (neg.f64 (-.f64 (*.f64 y z) (fma.f64 y x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 z x)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 y (+.f64 z x)) 2) (-.f64 (*.f64 x x) (*.f64 (*.f64 y (+.f64 z x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 y x x) 2) (pow.f64 (*.f64 y z) 2)) (-.f64 (fma.f64 y x x) (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y (+.f64 z x)) 2) (*.f64 x x)) (fma.f64 y (+.f64 z x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y (+.f64 z x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y (+.f64 z x) x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y (+.f64 z x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y (+.f64 z x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y (+.f64 z x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (fma.f64 y x x) (-.f64 (fma.f64 y x x) (*.f64 y z)) (pow.f64 (*.f64 y z) 2)) (+.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 (fma.f64 y x x) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (*.f64 y z) (fma.f64 y x x)) (-.f64 (pow.f64 (*.f64 y z) 2) (pow.f64 (fma.f64 y x x) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y (+.f64 z x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y (+.f64 z x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (+.f64 z x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 y z))) (exp.f64 (fma.f64 y x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 y) z) (+.f64 1 (expm1.f64 (fma.f64 y x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 y z))) (+.f64 1 (expm1.f64 (fma.f64 y x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (pow.f64 (exp.f64 y) (+.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 y x x))) (pow.f64 (exp.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 y x x)) (+.f64 1 (expm1.f64 (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 y x x))) (+.f64 1 (expm1.f64 (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 y) (+.f64 z x)) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y (+.f64 z x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y (+.f64 z x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y (+.f64 z x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y (+.f64 z x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 y (+.f64 z x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 y (+.f64 z x) x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 y (+.f64 z x) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 y (+.f64 z x) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 y (+.f64 z x) x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y z (fma.f64 y x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x (+.f64 x (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (+.f64 z x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z y (fma.f64 y x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y z) 1 (fma.f64 y x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y (+.f64 x (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 y (+.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (+.f64 y 1) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y x) 1 (+.f64 x (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 y x x) 1 (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y z) (fma.f64 y x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 y (+.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y x) (+.f64 x (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 y x x) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y (+.f64 z x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 y (+.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y (+.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) y) (+.f64 x (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) x) (+.f64 x (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) z) (fma.f64 y x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 y x)) (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (+.f64 x (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (cbrt.f64 (*.f64 y x)) (+.f64 x (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) y) (fma.f64 y x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 y x x)) (pow.f64 (cbrt.f64 (fma.f64 y x x)) 2) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y x x)) 2) (cbrt.f64 (fma.f64 y x x)) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 y z)) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (fma.f64 y x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (cbrt.f64 (*.f64 y z)) (fma.f64 y x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (+.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (+.f64 x (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (+.f64 x (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) 2) (cbrt.f64 (*.f64 y (+.f64 z x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y (+.f64 z x))) (sqrt.f64 (*.f64 y (+.f64 z x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (+.f64 x (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (+.f64 x (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (+.f64 x (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (+.f64 x (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 y 1) 1) x (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 y 1) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 y 1) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (fma.f64 y x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z) (fma.f64 y x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (fma.f64 y x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y) (fma.f64 y x x)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 y x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x (-.f64 y 1))) (/.f64 (*.f64 x x) (*.f64 x (-.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y x x)) (pow.f64 (cbrt.f64 (fma.f64 y x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y x x)) 2) (cbrt.f64 (fma.f64 y x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y x x)) (sqrt.f64 (fma.f64 y x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (-.f64 x (*.f64 y x)) (pow.f64 (*.f64 y x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 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pow.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 y x)) (pow.f64 (*.f64 y x) 2)) (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 x 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x (-.f64 y 1)) (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y x x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 y x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (pow.f64 (exp.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 y x))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 x) y) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 y x))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y x x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y x x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 y x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 y x x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 y x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 y x x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 y x x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 y x x)) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y x) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 y x)) (pow.f64 (cbrt.f64 (*.f64 y x)) 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (cbrt.f64 (*.f64 y x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) x))))) |
| 1× | egg-herbie |
| 307× | fma-neg_binary64 |
| 272× | fma-def_binary64 |
| 47× | unsub-neg_binary64 |
| 43× | distribute-rgt-in_binary64 |
| 43× | cancel-sign-sub-inv_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 255 |
| 1 | 74 | 255 |
| 2 | 177 | 255 |
| 3 | 349 | 255 |
| 4 | 809 | 255 |
| 5 | 1144 | 255 |
| 6 | 1238 | 255 |
| 7 | 1244 | 255 |
| 1× | saturated |
| Inputs |
|---|
x |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(*.f64 y (+.f64 z x)) |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 z) (*.f64 -1 x)))) |
(+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 z) (*.f64 -1 x)))) x) |
(+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 z) (*.f64 -1 x)))) x) |
(+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 z) (*.f64 -1 x)))) x) |
(+.f64 (*.f64 y x) x) |
(*.f64 y z) |
(*.f64 y z) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 y) x)) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 y) x)) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 y) x)) |
(*.f64 (+.f64 1 y) x) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 y) x)) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 y) x)) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 y) x)) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x)) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x))) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x))) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x))) |
x |
(*.f64 y x) |
(*.f64 y x) |
(*.f64 (+.f64 1 y) x) |
(*.f64 (+.f64 1 y) x) |
(*.f64 (+.f64 1 y) x) |
(*.f64 (+.f64 1 y) x) |
(*.f64 (+.f64 1 y) x) |
(*.f64 (+.f64 1 y) x) |
(*.f64 (+.f64 1 y) x) |
(*.f64 (+.f64 1 y) x) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x)) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x)) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x)) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x)) |
| Outputs |
|---|
x |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(fma.f64 y (+.f64 x z) x) |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(fma.f64 y (+.f64 x z) x) |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(fma.f64 y (+.f64 x z) x) |
(*.f64 y (+.f64 z x)) |
(*.f64 y (+.f64 x z)) |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(fma.f64 y (+.f64 x z) x) |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(fma.f64 y (+.f64 x z) x) |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(fma.f64 y (+.f64 x z) x) |
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 z) (*.f64 -1 x)))) |
(*.f64 y (+.f64 x z)) |
(+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 z) (*.f64 -1 x)))) x) |
(fma.f64 y (+.f64 x z) x) |
(+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 z) (*.f64 -1 x)))) x) |
(fma.f64 y (+.f64 x z) x) |
(+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 z) (*.f64 -1 x)))) x) |
(fma.f64 y (+.f64 x z) x) |
(+.f64 (*.f64 y x) x) |
(fma.f64 y x x) |
(fma.f64 x y x) |
(*.f64 y z) |
(*.f64 y z) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 y) x)) |
(fma.f64 y (+.f64 x z) x) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 y) x)) |
(fma.f64 y (+.f64 x z) x) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 y) x)) |
(fma.f64 y (+.f64 x z) x) |
(*.f64 (+.f64 1 y) x) |
(fma.f64 y x x) |
(fma.f64 x y x) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 y) x)) |
(fma.f64 y (+.f64 x z) x) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 y) x)) |
(fma.f64 y (+.f64 x z) x) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 y) x)) |
(fma.f64 y (+.f64 x z) x) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x)) |
(fma.f64 y x x) |
(fma.f64 x y x) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x))) |
(fma.f64 y (+.f64 x z) x) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x))) |
(fma.f64 y (+.f64 x z) x) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x))) |
(fma.f64 y (+.f64 x z) x) |
x |
(*.f64 y x) |
(*.f64 x y) |
(*.f64 y x) |
(*.f64 x y) |
(*.f64 (+.f64 1 y) x) |
(fma.f64 y x x) |
(fma.f64 x y x) |
(*.f64 (+.f64 1 y) x) |
(fma.f64 y x x) |
(fma.f64 x y x) |
(*.f64 (+.f64 1 y) x) |
(fma.f64 y x x) |
(fma.f64 x y x) |
(*.f64 (+.f64 1 y) x) |
(fma.f64 y x x) |
(fma.f64 x y x) |
(*.f64 (+.f64 1 y) x) |
(fma.f64 y x x) |
(fma.f64 x y x) |
(*.f64 (+.f64 1 y) x) |
(fma.f64 y x x) |
(fma.f64 x y x) |
(*.f64 (+.f64 1 y) x) |
(fma.f64 y x x) |
(fma.f64 x y x) |
(*.f64 (+.f64 1 y) x) |
(fma.f64 y x x) |
(fma.f64 x y x) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x)) |
(fma.f64 y x x) |
(fma.f64 x y x) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x)) |
(fma.f64 y x x) |
(fma.f64 x y x) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x)) |
(fma.f64 y x x) |
(fma.f64 x y x) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x)) |
(fma.f64 y x x) |
(fma.f64 x y x) |
Compiled 8 to 4 computations (50% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (*.f64 y (+.f64 z x)) |
Compiled 14 to 5 computations (64.3% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 x (*.f64 y z)) |
Compiled 14 to 5 computations (64.3% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (+.f64 x (*.f64 y z)) |
| 0.0ms | z | @ | -inf | (+.f64 x (*.f64 y z)) |
| 0.0ms | x | @ | -inf | (+.f64 x (*.f64 y z)) |
| 0.0ms | y | @ | -inf | (+.f64 x (*.f64 y z)) |
| 0.0ms | z | @ | inf | (+.f64 x (*.f64 y z)) |
| 1× | batch-egg-rewrite |
| 713× | pow1_binary64 |
| 661× | add-log-exp_binary64 |
| 661× | log1p-expm1-u_binary64 |
| 661× | expm1-log1p-u_binary64 |
| 646× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 128 | 5 |
| 2 | 1779 | 5 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 x (*.f64 y z)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 y z x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 y z))) (/.f64 (pow.f64 (*.f64 y z) 2) (-.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y z x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y z x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y z x)) (pow.f64 (cbrt.f64 (fma.f64 y z x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y z x)) 2) (cbrt.f64 (fma.f64 y z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y z x)) (sqrt.f64 (fma.f64 y z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y z) 2)) (/.f64 1 (-.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) x))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (*.f64 y z)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 y z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3)) (fma.f64 x x (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3)) (+.f64 (pow.f64 (*.f64 y z) 2) (-.f64 (*.f64 x x) (*.f64 x (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y z) 2)) (-.f64 x (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y z) 2))) (neg.f64 (-.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y z) 2) (*.f64 x x)) (-.f64 (*.f64 y z) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y z x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y z x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y z x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y z x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y z x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y z x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y z x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y z x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y z x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y z x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y z x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z y x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y z) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (cbrt.f64 (*.f64 y z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 (*.f64 y z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y z)))))) |
| 1× | egg-herbie |
| 2× | fma-def_binary64 |
| 1× | +-commutative_binary64 |
| 1× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 159 |
| 1 | 9 | 159 |
| 2 | 10 | 159 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 y z) |
(+.f64 (*.f64 y z) x) |
(+.f64 (*.f64 y z) x) |
(+.f64 (*.f64 y z) x) |
x |
(+.f64 (*.f64 y z) x) |
(+.f64 (*.f64 y z) x) |
(+.f64 (*.f64 y z) x) |
x |
(+.f64 (*.f64 y z) x) |
(+.f64 (*.f64 y z) x) |
(+.f64 (*.f64 y z) x) |
x |
(+.f64 (*.f64 y z) x) |
(+.f64 (*.f64 y z) x) |
(+.f64 (*.f64 y z) x) |
(*.f64 y z) |
(+.f64 (*.f64 y z) x) |
(+.f64 (*.f64 y z) x) |
(+.f64 (*.f64 y z) x) |
(*.f64 y z) |
(+.f64 (*.f64 y z) x) |
(+.f64 (*.f64 y z) x) |
(+.f64 (*.f64 y z) x) |
x |
(+.f64 (*.f64 y z) x) |
(+.f64 (*.f64 y z) x) |
(+.f64 (*.f64 y z) x) |
(*.f64 y z) |
(+.f64 (*.f64 y z) x) |
(+.f64 (*.f64 y z) x) |
(+.f64 (*.f64 y z) x) |
(*.f64 y z) |
(+.f64 (*.f64 y z) x) |
(+.f64 (*.f64 y z) x) |
(+.f64 (*.f64 y z) x) |
| Outputs |
|---|
(*.f64 y z) |
(+.f64 (*.f64 y z) x) |
(fma.f64 y z x) |
(+.f64 (*.f64 y z) x) |
(fma.f64 y z x) |
(+.f64 (*.f64 y z) x) |
(fma.f64 y z x) |
x |
(+.f64 (*.f64 y z) x) |
(fma.f64 y z x) |
(+.f64 (*.f64 y z) x) |
(fma.f64 y z x) |
(+.f64 (*.f64 y z) x) |
(fma.f64 y z x) |
x |
(+.f64 (*.f64 y z) x) |
(fma.f64 y z x) |
(+.f64 (*.f64 y z) x) |
(fma.f64 y z x) |
(+.f64 (*.f64 y z) x) |
(fma.f64 y z x) |
x |
(+.f64 (*.f64 y z) x) |
(fma.f64 y z x) |
(+.f64 (*.f64 y z) x) |
(fma.f64 y z x) |
(+.f64 (*.f64 y z) x) |
(fma.f64 y z x) |
(*.f64 y z) |
(+.f64 (*.f64 y z) x) |
(fma.f64 y z x) |
(+.f64 (*.f64 y z) x) |
(fma.f64 y z x) |
(+.f64 (*.f64 y z) x) |
(fma.f64 y z x) |
(*.f64 y z) |
(+.f64 (*.f64 y z) x) |
(fma.f64 y z x) |
(+.f64 (*.f64 y z) x) |
(fma.f64 y z x) |
(+.f64 (*.f64 y z) x) |
(fma.f64 y z x) |
x |
(+.f64 (*.f64 y z) x) |
(fma.f64 y z x) |
(+.f64 (*.f64 y z) x) |
(fma.f64 y z x) |
(+.f64 (*.f64 y z) x) |
(fma.f64 y z x) |
(*.f64 y z) |
(+.f64 (*.f64 y z) x) |
(fma.f64 y z x) |
(+.f64 (*.f64 y z) x) |
(fma.f64 y z x) |
(+.f64 (*.f64 y z) x) |
(fma.f64 y z x) |
(*.f64 y z) |
(+.f64 (*.f64 y z) x) |
(fma.f64 y z x) |
(+.f64 (*.f64 y z) x) |
(fma.f64 y z x) |
(+.f64 (*.f64 y z) x) |
(fma.f64 y z x) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (+.f64 (*.f64 y x) x) |
Compiled 13 to 5 computations (61.5% saved)
Compiled 4248 to 1387 computations (67.3% saved)
8 alts after pruning (4 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 345 | 4 | 349 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 2 | 3 | 5 |
| Total | 348 | 8 | 356 |
| Status | Error | Program |
|---|---|---|
| ▶ | 12.1b | (fma.f64 z y x) |
| ▶ | 51.2b | (*.f64 y x) |
| ▶ | 29.5b | (+.f64 (*.f64 y z) (*.f64 y x)) |
| ✓ | 40.7b | (*.f64 y z) |
| ✓ | 29.5b | (*.f64 y (+.f64 z x)) |
| ✓ | 12.1b | (+.f64 x (*.f64 y z)) |
| 33.5b | x | |
| ✓ | 21.9b | (+.f64 (*.f64 y x) x) |
Compiled 57 to 36 computations (36.8% saved)
Compiled 8 to 4 computations (50% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 y z) (*.f64 y x)) |
Compiled 19 to 6 computations (68.4% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (+.f64 (*.f64 y z) (*.f64 y x)) |
| 0.0ms | y | @ | inf | (+.f64 (*.f64 y z) (*.f64 y x)) |
| 0.0ms | y | @ | -inf | (+.f64 (*.f64 y z) (*.f64 y x)) |
| 0.0ms | x | @ | inf | (+.f64 (*.f64 y z) (*.f64 y x)) |
| 0.0ms | z | @ | inf | (+.f64 (*.f64 y z) (*.f64 y x)) |
| 1× | batch-egg-rewrite |
| 836× | pow1_binary64 |
| 774× | add-log-exp_binary64 |
| 774× | log1p-expm1-u_binary64 |
| 774× | expm1-log1p-u_binary64 |
| 757× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 7 |
| 1 | 151 | 7 |
| 2 | 2106 | 7 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 y z) (*.f64 y x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y (+.f64 z x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 y z) 2) (*.f64 y (-.f64 z x))) (/.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (+.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (+.f64 z x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y (+.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (+.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) (pow.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) 2) (cbrt.f64 (*.f64 y (+.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (+.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y (+.f64 z x))) (sqrt.f64 (*.f64 y (+.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 (*.f64 y x) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 y z) 2) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 y z) 2) (pow.f64 (*.f64 y x) 2)) (/.f64 1 (*.f64 y (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 z x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 y z) 2) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 y z)))) (+.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 (*.f64 y x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 y (-.f64 z x)) (-.f64 (pow.f64 (*.f64 y z) 2) (pow.f64 (*.f64 y x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 (*.f64 y x) 3)) (+.f64 (pow.f64 (*.f64 y z) 2) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 (*.f64 y x) 3)) (+.f64 (pow.f64 (*.f64 y x) 2) (-.f64 (pow.f64 (*.f64 y z) 2) (*.f64 y (*.f64 z (*.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y z) 2) (pow.f64 (*.f64 y x) 2)) (*.f64 y (-.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 (*.f64 y x) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 y z) 2) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y z) 2) (pow.f64 (*.f64 y x) 2))) (neg.f64 (*.f64 y (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (pow.f64 (*.f64 y z) 2)) (-.f64 (*.f64 y x) (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (+.f64 z x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (+.f64 z x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (+.f64 z x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (+.f64 z x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (+.f64 z x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (+.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (+.f64 z x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (+.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (+.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (+.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y z (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z y (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y z) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y x) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (cbrt.f64 (*.f64 y x)) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (cbrt.f64 (*.f64 y z)) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 (*.f64 y z)) (*.f64 y x)))))) |
| 1× | egg-herbie |
| 112× | fma-neg_binary64 |
| 75× | fma-def_binary64 |
| 31× | unsub-neg_binary64 |
| 24× | associate-*l*_binary64 |
| 24× | cancel-sign-sub-inv_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 108 |
| 1 | 38 | 108 |
| 2 | 105 | 108 |
| 3 | 207 | 108 |
| 4 | 390 | 108 |
| 5 | 527 | 108 |
| 6 | 583 | 108 |
| 7 | 588 | 108 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 y (+.f64 z x)) |
(*.f64 y (+.f64 z x)) |
(*.f64 y (+.f64 z x)) |
(*.f64 y (+.f64 z x)) |
(*.f64 y (+.f64 z x)) |
(*.f64 y (+.f64 z x)) |
(*.f64 y (+.f64 z x)) |
(*.f64 y (+.f64 z x)) |
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 z) (*.f64 -1 x)))) |
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 z) (*.f64 -1 x)))) |
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 z) (*.f64 -1 x)))) |
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 z) (*.f64 -1 x)))) |
(*.f64 y x) |
(*.f64 y z) |
(*.f64 y z) |
(*.f64 y z) |
(*.f64 y x) |
(*.f64 y x) |
| Outputs |
|---|
(*.f64 y (+.f64 z x)) |
(*.f64 y (+.f64 z x)) |
(*.f64 y (+.f64 z x)) |
(*.f64 y (+.f64 z x)) |
(*.f64 y (+.f64 z x)) |
(*.f64 y (+.f64 z x)) |
(*.f64 y (+.f64 z x)) |
(*.f64 y (+.f64 z x)) |
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 z) (*.f64 -1 x)))) |
(*.f64 y (+.f64 z x)) |
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 z) (*.f64 -1 x)))) |
(*.f64 y (+.f64 z x)) |
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 z) (*.f64 -1 x)))) |
(*.f64 y (+.f64 z x)) |
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 z) (*.f64 -1 x)))) |
(*.f64 y (+.f64 z x)) |
(*.f64 y x) |
(*.f64 y z) |
(*.f64 y z) |
(*.f64 y z) |
(*.f64 y x) |
(*.f64 y x) |
Compiled 10 to 4 computations (60% saved)
Compiled 553 to 189 computations (65.8% saved)
8 alts after pruning (1 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 44 | 0 | 44 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 6 | 6 |
| Total | 44 | 8 | 52 |
| Status | Error | Program |
|---|---|---|
| ✓ | 12.1b | (fma.f64 z y x) |
| ✓ | 51.2b | (*.f64 y x) |
| ✓ | 29.5b | (+.f64 (*.f64 y z) (*.f64 y x)) |
| ✓ | 40.7b | (*.f64 y z) |
| ✓ | 29.5b | (*.f64 y (+.f64 z x)) |
| ✓ | 12.1b | (+.f64 x (*.f64 y z)) |
| 33.5b | x | |
| ✓ | 21.9b | (+.f64 (*.f64 y x) x) |
Compiled 57 to 36 computations (36.8% saved)
Compiled 3 to 3 computations (0% saved)
8 alts after pruning (1 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 7 | 7 |
| Total | 0 | 8 | 8 |
| Status | Error | Program |
|---|---|---|
| ✓ | 12.1b | (fma.f64 z y x) |
| ✓ | 51.2b | (*.f64 y x) |
| ✓ | 29.5b | (+.f64 (*.f64 y z) (*.f64 y x)) |
| ✓ | 40.7b | (*.f64 y z) |
| ✓ | 29.5b | (*.f64 y (+.f64 z x)) |
| ✓ | 12.1b | (+.f64 x (*.f64 y z)) |
| 33.5b | x | |
| ✓ | 21.9b | (+.f64 (*.f64 y x) x) |
Compiled 57 to 36 computations (36.8% saved)
| Inputs |
|---|
x |
x |
(*.f64 y x) |
(*.f64 y z) |
(*.f64 y (+.f64 z x)) |
(+.f64 x (*.f64 y z)) |
(+.f64 (*.f64 y x) x) |
(+.f64 (*.f64 y z) (*.f64 y x)) |
(+.f64 x (*.f64 y (+.f64 z x))) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x)) |
(fma.f64 z y x) |
(fma.f64 y (+.f64 x z) x) |
| Outputs |
|---|
(fma.f64 y (+.f64 x z) x) |
4 calls:
| 8.0ms | (+.f64 x (*.f64 y (+.f64 z x))) |
| 7.0ms | x |
| 7.0ms | z |
| 7.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | x |
| 0.0b | 1 | y |
| 0.0b | 1 | z |
| 0.0b | 1 | (+.f64 x (*.f64 y (+.f64 z x))) |
Compiled 81 to 30 computations (63% saved)
| Inputs |
|---|
x |
x |
(*.f64 y x) |
(*.f64 y z) |
(*.f64 y (+.f64 z x)) |
(+.f64 x (*.f64 y z)) |
(+.f64 (*.f64 y x) x) |
(+.f64 (*.f64 y z) (*.f64 y x)) |
(+.f64 x (*.f64 y (+.f64 z x))) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x)) |
(fma.f64 z y x) |
| Outputs |
|---|
(+.f64 x (*.f64 y (+.f64 z x))) |
4 calls:
| 7.0ms | z |
| 7.0ms | x |
| 7.0ms | y |
| 7.0ms | (+.f64 x (*.f64 y (+.f64 z x))) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | x |
| 0.0b | 1 | y |
| 0.0b | 1 | z |
| 0.0b | 1 | (+.f64 x (*.f64 y (+.f64 z x))) |
Compiled 75 to 28 computations (62.7% saved)
| Inputs |
|---|
x |
x |
(*.f64 y x) |
(*.f64 y z) |
(*.f64 y (+.f64 z x)) |
(+.f64 x (*.f64 y z)) |
(+.f64 (*.f64 y x) x) |
(+.f64 (*.f64 y z) (*.f64 y x)) |
| Outputs |
|---|
(*.f64 y (+.f64 z x)) |
(+.f64 x (*.f64 y z)) |
(*.f64 y (+.f64 z x)) |
3 calls:
| 20.0ms | x |
| 16.0ms | z |
| 15.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 7.4b | 3 | x |
| 1.2b | 3 | y |
| 6.2b | 3 | z |
Compiled 45 to 19 computations (57.8% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 0.05097181937537825 | 0.0638259132917447 |
| 16.0ms | -1636.4719172132347 | -3.511008620521097e-10 |
Compiled 16 to 11 computations (31.3% saved)
| Inputs |
|---|
x |
x |
(*.f64 y x) |
(*.f64 y z) |
(*.f64 y (+.f64 z x)) |
| Outputs |
|---|
(*.f64 y (+.f64 z x)) |
x |
(*.f64 y (+.f64 z x)) |
3 calls:
| 31.0ms | z |
| 20.0ms | x |
| 12.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 16.6b | 5 | x |
| 10.1b | 3 | y |
| 21.9b | 7 | z |
Compiled 28 to 16 computations (42.9% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 1.0483895902717244e-37 | 2.8302028201079465e-30 |
| 17.0ms | -1636.4719172132347 | -3.511008620521097e-10 |
Compiled 16 to 11 computations (31.3% saved)
| Inputs |
|---|
x |
x |
(*.f64 y x) |
(*.f64 y z) |
| Outputs |
|---|
(*.f64 y z) |
x |
(*.f64 y z) |
3 calls:
| 24.0ms | z |
| 14.0ms | x |
| 10.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 22.1b | 3 | x |
| 21.2b | 3 | y |
| 24.8b | 7 | z |
Compiled 23 to 14 computations (39.1% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 0.05097181937537825 | 0.0638259132917447 |
| 17.0ms | -1636.4719172132347 | -3.511008620521097e-10 |
Compiled 16 to 11 computations (31.3% saved)
| Inputs |
|---|
x |
x |
(*.f64 y x) |
| Outputs |
|---|
(*.f64 y x) |
x |
(*.f64 y x) |
3 calls:
| 10.0ms | z |
| 10.0ms | y |
| 4.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 33.5b | 1 | x |
| 23.2b | 3 | y |
| 32.4b | 3 | z |
Compiled 20 to 13 computations (35% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 0.05097181937537825 | 0.0638259132917447 |
| 16.0ms | -1636.4719172132347 | -3.511008620521097e-10 |
Compiled 16 to 11 computations (31.3% saved)
Total 0.0b remaining (0%)
Threshold costs 0.0b (0%)
| Inputs |
|---|
x |
x |
| Outputs |
|---|
x |
3 calls:
| 3.0ms | x |
| 3.0ms | y |
| 3.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 33.5b | 1 | x |
| 33.5b | 1 | y |
| 33.5b | 1 | z |
Compiled 17 to 12 computations (29.4% saved)
| 1× | egg-herbie |
| 3× | +-commutative_binary64 |
| 3× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 121 |
| 1 | 33 | 121 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 y (+.f64 x z) x) |
(+.f64 x (*.f64 y (+.f64 z x))) |
(if (<=.f64 y -7197279606019341/4398046511104) (*.f64 y (+.f64 z x)) (if (<=.f64 y 7345813335851191/144115188075855872) (+.f64 x (*.f64 y z)) (*.f64 y (+.f64 z x)))) |
(if (<=.f64 y -7197279606019341/4398046511104) (*.f64 y (+.f64 z x)) (if (<=.f64 y 2510394331533803/23945242826029513411849172299223580994042798784118784) x (*.f64 y (+.f64 z x)))) |
(if (<=.f64 y -7197279606019341/4398046511104) (*.f64 y z) (if (<=.f64 y 7345813335851191/144115188075855872) x (*.f64 y z))) |
(if (<=.f64 y -7197279606019341/4398046511104) (*.f64 y x) (if (<=.f64 y 7345813335851191/144115188075855872) x (*.f64 y x))) |
x |
| Outputs |
|---|
(fma.f64 y (+.f64 x z) x) |
(+.f64 x (*.f64 y (+.f64 z x))) |
(+.f64 x (*.f64 y (+.f64 x z))) |
(if (<=.f64 y -7197279606019341/4398046511104) (*.f64 y (+.f64 z x)) (if (<=.f64 y 7345813335851191/144115188075855872) (+.f64 x (*.f64 y z)) (*.f64 y (+.f64 z x)))) |
(if (<=.f64 y -7197279606019341/4398046511104) (*.f64 y (+.f64 x z)) (if (<=.f64 y 7345813335851191/144115188075855872) (+.f64 x (*.f64 y z)) (*.f64 y (+.f64 x z)))) |
(if (<=.f64 y -7197279606019341/4398046511104) (*.f64 y (+.f64 z x)) (if (<=.f64 y 2510394331533803/23945242826029513411849172299223580994042798784118784) x (*.f64 y (+.f64 z x)))) |
(if (<=.f64 y -7197279606019341/4398046511104) (*.f64 y (+.f64 x z)) (if (<=.f64 y 2510394331533803/23945242826029513411849172299223580994042798784118784) x (*.f64 y (+.f64 x z)))) |
(if (<=.f64 y -7197279606019341/4398046511104) (*.f64 y z) (if (<=.f64 y 7345813335851191/144115188075855872) x (*.f64 y z))) |
(if (<=.f64 y -7197279606019341/4398046511104) (*.f64 y x) (if (<=.f64 y 7345813335851191/144115188075855872) x (*.f64 y x))) |
x |
Compiled 107 to 58 computations (45.8% saved)
| 1× | egg-herbie |
| 66× | fma-def_binary64 |
| 8× | +-commutative_binary64 |
| 8× | associate-*r*_binary64 |
| 8× | associate-*l*_binary64 |
| 6× | *-commutative_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 16 | 8 |
| 2 | 35 | 8 |
| 3 | 50 | 8 |
| 4 | 59 | 8 |
| 5 | 66 | 8 |
| 6 | 72 | 8 |
| 7 | 91 | 8 |
| 8 | 107 | 8 |
| 9 | 121 | 8 |
| 10 | 139 | 8 |
| 11 | 146 | 8 |
| 12 | 147 | 8 |
| 1× | saturated |
Compiled 38 to 22 computations (42.1% saved)
Compiled 89 to 34 computations (61.8% saved)
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