Time bar (total: 2.9s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 5 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 6 |
| 12.5% | 12.5% | 87.4% | 0.1% | 0% | 0% | 0% | 7 |
| 18.8% | 18.7% | 81.1% | 0.1% | 0% | 0% | 0% | 8 |
| 25.6% | 25% | 72.5% | 0.1% | 2.3% | 0% | 0% | 9 |
| 36.7% | 34.3% | 59.3% | 0.1% | 6.2% | 0% | 0% | 10 |
| 44.2% | 40.6% | 51.3% | 0.1% | 8% | 0% | 0% | 11 |
| 52% | 46.8% | 43.2% | 0.1% | 9.8% | 0% | 0% | 12 |
Compiled 11 to 7 computations (36.4% saved)
| 1.1s | 8256× | body | 256 | valid |
| 153.0ms | 1200× | body | 256 | infinite |
| 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 |
|---|---|---|
| ▶ | 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 y (+.f64 z x)) |
| ✓ | 0.0b | (+.f64 x (*.f64 y (+.f64 z x))) |
Compiled 21 to 6 computations (71.4% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | (+.f64 x (*.f64 y (+.f64 z x))) |
| 1.0ms | y | @ | -inf | (+.f64 x (*.f64 y (+.f64 z x))) |
| 1.0ms | x | @ | inf | (+.f64 x (*.f64 y (+.f64 z x))) |
| 1.0ms | x | @ | -inf | (+.f64 x (*.f64 y (+.f64 z x))) |
| 1.0ms | x | @ | 0 | (+.f64 x (*.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 x (*.f64 y (+.f64 z x))) |
(*.f64 y (+.f64 z x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 y (+.f64 x z) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 y (+.f64 x z)))) (/.f64 (pow.f64 (*.f64 y (+.f64 x z)) 2) (-.f64 x (*.f64 y (+.f64 x z)))))))) (#(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 x 3) (pow.f64 (*.f64 y (+.f64 x z)) 3)) (/.f64 1 (fma.f64 (*.f64 y (+.f64 x z)) (fma.f64 y (+.f64 x z) 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y (+.f64 x z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 y (+.f64 x z) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 y (+.f64 x z) x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 y (+.f64 x z) x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 y (+.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y z (fma.f64 x y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (+.f64 x z) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z y (fma.f64 x y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x z) y x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (+.f64 x z)) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 y (+.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y (+.f64 x z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y z) (fma.f64 x y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 y (+.f64 x z))) (pow.f64 (cbrt.f64 (*.f64 y (+.f64 x z))) 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (+.f64 x z))) 2) (cbrt.f64 (*.f64 y (+.f64 x z))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (+.f64 x z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) z) (fma.f64 x y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x z)) 2) (*.f64 (cbrt.f64 (+.f64 x z)) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 y (+.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y (+.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) y) (fma.f64 x y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y (+.f64 x z))) (sqrt.f64 (*.f64 y (+.f64 x z))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (+.f64 x z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) z) (fma.f64 x y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x z)) (*.f64 (sqrt.f64 (+.f64 x z)) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (+.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) y) (fma.f64 x y 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 x y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 (*.f64 y z)) (fma.f64 x y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (fma.f64 x y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y) (fma.f64 x y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (+.f64 x z)) 2)) (cbrt.f64 (+.f64 x z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 (+.f64 x z))) (sqrt.f64 (+.f64 x z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 x z) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 x z) (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 x y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z) (fma.f64 x y x)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y z) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (+.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y z) 1) (*.f64 (*.f64 x y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (+.f64 x z))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (+.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (+.f64 x z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (+.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 x z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (*.f64 y z) 2) (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (*.f64 y z) (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y z) 2) (pow.f64 (*.f64 x y) 2)) (-.f64 (*.f64 y z) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 z 3) (pow.f64 x 3)) y) (fma.f64 x (-.f64 x z) (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) (-.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (+.f64 (pow.f64 z 3) (pow.f64 x 3))) (fma.f64 x (-.f64 x z) (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 (*.f64 z z) (*.f64 x x))) (-.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (+.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (+.f64 x z)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (+.f64 x z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (+.f64 x z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (+.f64 x z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (+.f64 x z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (+.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (+.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (+.f64 x z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (+.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (+.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (+.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (+.f64 x z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (+.f64 x z)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (+.f64 x z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 y (+.f64 x z)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (+.f64 x z))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (+.f64 x z))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y z (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z y (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y z) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x y) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) z) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) x) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) y) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) y) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) z) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) y) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y z) 1 (*.f64 (*.f64 x y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (cbrt.f64 (*.f64 y z)) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (cbrt.f64 (*.f64 x y)) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 (*.f64 y z)) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.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 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y z)))))) |
| 1× | egg-herbie |
| 310× | fma-neg_binary64 |
| 256× | fma-def_binary64 |
| 77× | cancel-sign-sub-inv_binary64 |
| 62× | distribute-rgt-in_binary64 |
| 46× | unsub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 408 |
| 1 | 54 | 408 |
| 2 | 104 | 408 |
| 3 | 204 | 408 |
| 4 | 351 | 408 |
| 5 | 660 | 408 |
| 6 | 1093 | 408 |
| 7 | 1408 | 408 |
| 8 | 1432 | 408 |
| 1× | saturated |
| Inputs |
|---|
(*.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)) |
(*.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)) |
| Outputs |
|---|
(*.f64 y z) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 y) x)) |
(fma.f64 y (+.f64 z x) x) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 y) x)) |
(fma.f64 y (+.f64 z x) x) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 y) x)) |
(fma.f64 y (+.f64 z x) x) |
(*.f64 (+.f64 1 y) x) |
(fma.f64 y x x) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 y) x)) |
(fma.f64 y (+.f64 z x) x) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 y) x)) |
(fma.f64 y (+.f64 z x) x) |
(+.f64 (*.f64 y z) (*.f64 (+.f64 1 y) x)) |
(fma.f64 y (+.f64 z x) 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 z x) x) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x))) |
(fma.f64 y (+.f64 z x) x) |
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x))) |
(fma.f64 y (+.f64 z x) x) |
x |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(fma.f64 y (+.f64 z x) x) |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(fma.f64 y (+.f64 z x) x) |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(fma.f64 y (+.f64 z x) x) |
(*.f64 y (+.f64 z x)) |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(fma.f64 y (+.f64 z x) x) |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(fma.f64 y (+.f64 z x) x) |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(fma.f64 y (+.f64 z x) x) |
(*.f64 y (+.f64 z x)) |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(fma.f64 y (+.f64 z x) x) |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(fma.f64 y (+.f64 z x) x) |
(+.f64 (*.f64 y (+.f64 z x)) x) |
(fma.f64 y (+.f64 z x) x) |
(+.f64 (*.f64 y x) x) |
(fma.f64 y x x) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x)) |
(fma.f64 y (+.f64 z x) x) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x)) |
(fma.f64 y (+.f64 z x) x) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x)) |
(fma.f64 y (+.f64 z x) x) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x)) |
(fma.f64 y (+.f64 z x) x) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x)) |
(fma.f64 y (+.f64 z x) x) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x)) |
(fma.f64 y (+.f64 z x) x) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x)) |
(fma.f64 y (+.f64 z x) x) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x)) |
(fma.f64 y (+.f64 z x) x) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 y x) x)) |
(fma.f64 y (+.f64 z x) x) |
(*.f64 y x) |
(+.f64 (*.f64 y z) (*.f64 y x)) |
(*.f64 y (+.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 y x)) |
(*.f64 y (+.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 y x)) |
(*.f64 y (+.f64 z x)) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (*.f64 y x)) |
(*.f64 y (+.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 y x)) |
(*.f64 y (+.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 y x)) |
(*.f64 y (+.f64 z x)) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (*.f64 y x)) |
(*.f64 y (+.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 y x)) |
(*.f64 y (+.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 y x)) |
(*.f64 y (+.f64 z x)) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (*.f64 y x)) |
(*.f64 y (+.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 y x)) |
(*.f64 y (+.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 y x)) |
(*.f64 y (+.f64 z x)) |
(*.f64 y x) |
(+.f64 (*.f64 y z) (*.f64 y x)) |
(*.f64 y (+.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 y x)) |
(*.f64 y (+.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 y x)) |
(*.f64 y (+.f64 z x)) |
(*.f64 y x) |
(+.f64 (*.f64 y z) (*.f64 y x)) |
(*.f64 y (+.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 y x)) |
(*.f64 y (+.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 y x)) |
(*.f64 y (+.f64 z x)) |
Compiled 15 to 5 computations (66.7% saved)
Compiled 2015 to 623 computations (69.1% saved)
7 alts after pruning (5 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 150 | 5 | 155 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 150 | 7 | 157 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0b | (fma.f64 y (+.f64 x z) x) |
| ▶ | 38.0b | (*.f64 y z) |
| ✓ | 0.0b | (+.f64 x (*.f64 y (+.f64 z x))) |
| ▶ | 25.2b | (+.f64 (*.f64 y x) x) |
| ▶ | 27.7b | (*.f64 y (+.f64 z x)) |
| 35.9b | x | |
| ▶ | 25.2b | (*.f64 (+.f64 1 y) x) |
Compiled 53 to 34 computations (35.8% saved)
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 (+.f64 1 y) x) |
Compiled 14 to 9 computations (35.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | (*.f64 (+.f64 1 y) x) |
| 1.0ms | y | @ | 0 | (*.f64 (+.f64 1 y) x) |
| 0.0ms | x | @ | inf | (*.f64 (+.f64 1 y) x) |
| 0.0ms | x | @ | 0 | (*.f64 (+.f64 1 y) x) |
| 0.0ms | y | @ | inf | (*.f64 (+.f64 1 y) x) |
| 1× | batch-egg-rewrite |
| 604× | pow1_binary64 |
| 560× | add-log-exp_binary64 |
| 560× | log1p-expm1-u_binary64 |
| 560× | expm1-log1p-u_binary64 |
| 549× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 121 | 7 |
| 2 | 1520 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (+.f64 1 y) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 x (*.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 y 3)) x) (+.f64 1 (-.f64 (*.f64 y y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 y y)) x) (-.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 1 (pow.f64 y 3))) (+.f64 1 (-.f64 (*.f64 y y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (*.f64 y y))) (-.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (*.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (*.f64 y x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (*.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (*.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (*.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (*.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 y) (log.f64 x))))))) |
| 1× | egg-herbie |
| 14× | fma-def_binary64 |
| 4× | associate-*r*_binary64 |
| 4× | associate-*l*_binary64 |
| 3× | *-lft-identity_binary64 |
| 3× | *-rgt-identity_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 54 |
| 1 | 11 | 54 |
| 2 | 16 | 54 |
| 3 | 22 | 54 |
| 4 | 28 | 54 |
| 5 | 41 | 54 |
| 6 | 45 | 54 |
| 7 | 47 | 54 |
| 1× | saturated |
| Inputs |
|---|
x |
(+.f64 (*.f64 y x) x) |
(+.f64 (*.f64 y x) x) |
(+.f64 (*.f64 y x) x) |
(*.f64 y x) |
(+.f64 (*.f64 y x) x) |
(+.f64 (*.f64 y x) x) |
(+.f64 (*.f64 y x) x) |
(*.f64 y x) |
(+.f64 (*.f64 y x) x) |
(+.f64 (*.f64 y x) x) |
(+.f64 (*.f64 y x) x) |
| Outputs |
|---|
x |
(+.f64 (*.f64 y x) x) |
(fma.f64 y x x) |
(fma.f64 x y x) |
(+.f64 (*.f64 y x) x) |
(fma.f64 y x x) |
(fma.f64 x y x) |
(+.f64 (*.f64 y x) x) |
(fma.f64 y x x) |
(fma.f64 x y x) |
(*.f64 y x) |
(*.f64 x y) |
(+.f64 (*.f64 y x) x) |
(fma.f64 y x x) |
(fma.f64 x y x) |
(+.f64 (*.f64 y x) x) |
(fma.f64 y x x) |
(fma.f64 x y x) |
(+.f64 (*.f64 y x) x) |
(fma.f64 y x x) |
(fma.f64 x y x) |
(*.f64 y x) |
(*.f64 x y) |
(+.f64 (*.f64 y x) x) |
(fma.f64 y x x) |
(fma.f64 x y x) |
(+.f64 (*.f64 y x) x) |
(fma.f64 y x x) |
(fma.f64 x y x) |
(+.f64 (*.f64 y x) x) |
(fma.f64 y x x) |
(fma.f64 x y 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)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | 0 | (+.f64 (*.f64 y x) x) |
| 1.0ms | x | @ | inf | (+.f64 (*.f64 y x) x) |
| 0.0ms | x | @ | -inf | (+.f64 (*.f64 y x) x) |
| 0.0ms | y | @ | 0 | (+.f64 (*.f64 y x) x) |
| 0.0ms | y | @ | -inf | (+.f64 (*.f64 y x) x) |
| 1× | batch-egg-rewrite |
| 633× | pow1_binary64 |
| 590× | add-log-exp_binary64 |
| 589× | log1p-expm1-u_binary64 |
| 589× | expm1-log1p-u_binary64 |
| 577× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 5 |
| 1 | 112 | 5 |
| 2 | 1610 | 5 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 y x) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 y x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 y x) 2) (-.f64 (*.f64 y x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y x) x)))))) (#(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 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x (-.f64 x (*.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 y x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 y 1) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 y 1) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 y 1) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x (-.f64 x (*.f64 y x)))) (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 y x) x) (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x (-.f64 x (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x x)) (-.f64 (*.f64 y x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x (-.f64 x (*.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 y x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y x) 2)) (-.f64 x (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y x x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y x x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y x x)) 2)))) (#(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 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 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 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 (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 (*.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 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) x))))) |
| 1× | egg-herbie |
| 66× | fma-def_binary64 |
| 53× | fma-neg_binary64 |
| 20× | unsub-neg_binary64 |
| 16× | distribute-lft-in_binary64 |
| 16× | distribute-rgt-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 93 |
| 1 | 27 | 93 |
| 2 | 58 | 69 |
| 3 | 139 | 69 |
| 4 | 236 | 69 |
| 5 | 334 | 69 |
| 6 | 394 | 69 |
| 1× | saturated |
| Inputs |
|---|
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 y x) |
(*.f64 x y) |
(*.f64 y x) |
(*.f64 x y) |
(*.f64 (+.f64 1 y) x) |
(*.f64 x (+.f64 y 1)) |
(fma.f64 x y x) |
(*.f64 (+.f64 1 y) x) |
(*.f64 x (+.f64 y 1)) |
(fma.f64 x y x) |
(*.f64 (+.f64 1 y) x) |
(*.f64 x (+.f64 y 1)) |
(fma.f64 x y x) |
(*.f64 (+.f64 1 y) x) |
(*.f64 x (+.f64 y 1)) |
(fma.f64 x y x) |
(*.f64 (+.f64 1 y) x) |
(*.f64 x (+.f64 y 1)) |
(fma.f64 x y x) |
(*.f64 (+.f64 1 y) x) |
(*.f64 x (+.f64 y 1)) |
(fma.f64 x y x) |
(*.f64 (+.f64 1 y) x) |
(*.f64 x (+.f64 y 1)) |
(fma.f64 x y x) |
(*.f64 (+.f64 1 y) x) |
(*.f64 x (+.f64 y 1)) |
(fma.f64 x y x) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x)) |
(*.f64 x (+.f64 y 1)) |
(fma.f64 x y x) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x)) |
(*.f64 x (+.f64 y 1)) |
(fma.f64 x y x) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x)) |
(*.f64 x (+.f64 y 1)) |
(fma.f64 x y x) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x)) |
(*.f64 x (+.f64 y 1)) |
(fma.f64 x y x) |
Compiled 1269 to 456 computations (64.1% saved)
8 alts after pruning (2 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 127 | 1 | 128 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 5 | 5 |
| Total | 127 | 8 | 135 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0b | (fma.f64 y (+.f64 x z) x) |
| ✓ | 38.0b | (*.f64 y z) |
| ✓ | 0.0b | (+.f64 x (*.f64 y (+.f64 z x))) |
| ▶ | 52.1b | (*.f64 y x) |
| ✓ | 25.2b | (+.f64 (*.f64 y x) x) |
| ✓ | 27.7b | (*.f64 y (+.f64 z x)) |
| 35.9b | x | |
| ✓ | 25.2b | (*.f64 (+.f64 1 y) x) |
Compiled 59 to 38 computations (35.6% saved)
Compiled 8 to 4 computations (50% 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 | 1 | 1 |
| Done | 0 | 6 | 6 |
| Total | 0 | 8 | 8 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0b | (fma.f64 y (+.f64 x z) x) |
| ✓ | 38.0b | (*.f64 y z) |
| ✓ | 0.0b | (+.f64 x (*.f64 y (+.f64 z x))) |
| ✓ | 52.1b | (*.f64 y x) |
| ✓ | 25.2b | (+.f64 (*.f64 y x) x) |
| ✓ | 27.7b | (*.f64 y (+.f64 z x)) |
| 35.9b | x | |
| ✓ | 25.2b | (*.f64 (+.f64 1 y) x) |
Compiled 59 to 38 computations (35.6% 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 |
|---|---|---|
| ✓ | 0b | (fma.f64 y (+.f64 x z) x) |
| ✓ | 38.0b | (*.f64 y z) |
| ✓ | 0.0b | (+.f64 x (*.f64 y (+.f64 z x))) |
| ✓ | 52.1b | (*.f64 y x) |
| ✓ | 25.2b | (+.f64 (*.f64 y x) x) |
| ✓ | 27.7b | (*.f64 y (+.f64 z x)) |
| 35.9b | x | |
| ✓ | 25.2b | (*.f64 (+.f64 1 y) x) |
Compiled 59 to 38 computations (35.6% saved)
| Inputs |
|---|
x |
(*.f64 y x) |
(*.f64 y z) |
(+.f64 (*.f64 y x) x) |
(*.f64 y (+.f64 z x)) |
(*.f64 (+.f64 1 y) x) |
(+.f64 x (*.f64 y (+.f64 z x))) |
(fma.f64 y (+.f64 x z) x) |
| Outputs |
|---|
(fma.f64 y (+.f64 x z) x) |
4 calls:
| 158.0ms | z |
| 6.0ms | x |
| 6.0ms | (+.f64 x (*.f64 y (+.f64 z x))) |
| 5.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 0b | 1 | x |
| 0b | 1 | y |
| 0b | 1 | z |
| 0b | 1 | (+.f64 x (*.f64 y (+.f64 z x))) |
Compiled 60 to 29 computations (51.7% saved)
| Inputs |
|---|
x |
(*.f64 y x) |
(*.f64 y z) |
(+.f64 (*.f64 y x) x) |
(*.f64 y (+.f64 z x)) |
(*.f64 (+.f64 1 y) x) |
(+.f64 x (*.f64 y (+.f64 z x))) |
| Outputs |
|---|
(+.f64 x (*.f64 y (+.f64 z x))) |
4 calls:
| 6.0ms | y |
| 6.0ms | (+.f64 x (*.f64 y (+.f64 z x))) |
| 5.0ms | x |
| 5.0ms | z |
| 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 54 to 27 computations (50% saved)
| Inputs |
|---|
x |
(*.f64 y x) |
(*.f64 y z) |
(+.f64 (*.f64 y x) x) |
(*.f64 y (+.f64 z x)) |
(*.f64 (+.f64 1 y) x) |
| Outputs |
|---|
(*.f64 y (+.f64 z x)) |
(+.f64 (*.f64 y x) x) |
(*.f64 y (+.f64 z x)) |
(+.f64 (*.f64 y x) x) |
(*.f64 y (+.f64 z x)) |
3 calls:
| 169.0ms | y |
| 43.0ms | z |
| 15.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 12.2b | 3 | x |
| 12.0b | 5 | y |
| 16.1b | 5 | z |
Compiled 37 to 20 computations (45.9% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 34447.1718973063 | 1400483.3871232234 |
| 19.0ms | 3.0058994060375e-9 | 5.50597953910402e-8 |
| 0.0ms | 8.910483715281849e-32 | 9.201157579901099e-32 |
| 17.0ms | -1.929044516582242 | -8.999305365989518e-8 |
Compiled 16 to 11 computations (31.3% saved)
| Inputs |
|---|
x |
(*.f64 y x) |
(*.f64 y z) |
(+.f64 (*.f64 y x) x) |
| Outputs |
|---|
(+.f64 (*.f64 y x) x) |
(*.f64 y z) |
(+.f64 (*.f64 y x) x) |
3 calls:
| 28.0ms | y |
| 19.0ms | z |
| 13.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 14.8b | 3 | x |
| 20.7b | 6 | y |
| 17.5b | 5 | z |
Compiled 27 to 15 computations (44.4% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 5.098909066860243e-58 | 2.5042945567779336e-57 |
| 19.0ms | -2.573099899407028e-109 | -8.525530802745965e-121 |
Compiled 16 to 11 computations (31.3% saved)
| Inputs |
|---|
x |
(*.f64 y x) |
(*.f64 y z) |
| Outputs |
|---|
(*.f64 y x) |
(*.f64 y z) |
x |
(*.f64 y z) |
(*.f64 y x) |
(*.f64 y z) |
3 calls:
| 29.0ms | z |
| 24.0ms | y |
| 15.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 23.0b | 3 | x |
| 21.0b | 6 | y |
| 25.7b | 7 | z |
Compiled 22 to 14 computations (36.4% saved)
| 5× | binary-search |
| Time | Left | Right |
|---|---|---|
| 60.0ms | 3.341788384344284e+60 | 1.3854177489398314e+69 |
| 18.0ms | 77366952306.41731 | 251950121222.91455 |
| 0.0ms | 8.910483715281849e-32 | 9.201157579901099e-32 |
| 19.0ms | -7.783154187416083e-25 | -4.630626165701809e-28 |
| 28.0ms | -7.337413551484166e+160 | -1.3182958086152176e+154 |
Compiled 268 to 191 computations (28.7% saved)
Total -35.3b remaining (-133.3%)
Threshold costs -35.3b (-133.3%)
| Inputs |
|---|
x |
(*.f64 y x) |
| Outputs |
|---|
(*.f64 y x) |
x |
(*.f64 y x) |
3 calls:
| 9.0ms | y |
| 3.0ms | x |
| 3.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 35.9b | 1 | x |
| 26.4b | 3 | y |
| 35.9b | 1 | z |
Compiled 19 to 13 computations (31.6% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 0.015138018190329509 | 34447.1718973063 |
| 17.0ms | -1.929044516582242 | -8.999305365989518e-8 |
Compiled 16 to 11 computations (31.3% saved)
| 1× | egg-herbie |
| 3× | +-commutative_binary64 |
| 3× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 180 |
| 1 | 54 | 180 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 y (+.f64 x z) x) |
(+.f64 x (*.f64 y (+.f64 z x))) |
(if (<=.f64 y -2171911041515221/1125899906842624) (*.f64 y (+.f64 z x)) (if (<=.f64 y 8220946709986329/91343852333181432387730302044767688728495783936) (+.f64 (*.f64 y x) x) (if (<=.f64 y 7267818806246023/2417851639229258349412352) (*.f64 y (+.f64 z x)) (if (<=.f64 y 4734383255635867/137438953472) (+.f64 (*.f64 y x) x) (*.f64 y (+.f64 z x)))))) |
(if (<=.f64 x -5443081749749133/21153791001287955166461289857048673274508949854856999017108761448780985319561963066406054734070889115122918784800747465736192) (+.f64 (*.f64 y x) x) (if (<=.f64 x 7207194014683129/14134776518227074636666380005943348126619871175004951664972849610340958208) (*.f64 y z) (+.f64 (*.f64 y x) x))) |
(if (<=.f64 y -13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160) (*.f64 y x) (if (<=.f64 y -4237552206407293/5444517870735015415413993718908291383296) (*.f64 y z) (if (<=.f64 y 8220946709986329/91343852333181432387730302044767688728495783936) x (if (<=.f64 y 5070320586353365/65536) (*.f64 y z) (if (<=.f64 y 3500000000000000179666896716249036298944249900920719351480320) (*.f64 y x) (*.f64 y z)))))) |
(if (<=.f64 y -2171911041515221/1125899906842624) (*.f64 y x) (if (<=.f64 y 4363236677190129/288230376151711744) 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 -2171911041515221/1125899906842624) (*.f64 y (+.f64 z x)) (if (<=.f64 y 8220946709986329/91343852333181432387730302044767688728495783936) (+.f64 (*.f64 y x) x) (if (<=.f64 y 7267818806246023/2417851639229258349412352) (*.f64 y (+.f64 z x)) (if (<=.f64 y 4734383255635867/137438953472) (+.f64 (*.f64 y x) x) (*.f64 y (+.f64 z x)))))) |
(if (<=.f64 y -2171911041515221/1125899906842624) (*.f64 y (+.f64 x z)) (if (<=.f64 y 8220946709986329/91343852333181432387730302044767688728495783936) (+.f64 x (*.f64 y x)) (if (<=.f64 y 7267818806246023/2417851639229258349412352) (*.f64 y (+.f64 x z)) (if (<=.f64 y 4734383255635867/137438953472) (+.f64 x (*.f64 y x)) (*.f64 y (+.f64 x z)))))) |
(if (<=.f64 x -5443081749749133/21153791001287955166461289857048673274508949854856999017108761448780985319561963066406054734070889115122918784800747465736192) (+.f64 (*.f64 y x) x) (if (<=.f64 x 7207194014683129/14134776518227074636666380005943348126619871175004951664972849610340958208) (*.f64 y z) (+.f64 (*.f64 y x) x))) |
(if (<=.f64 x -5443081749749133/21153791001287955166461289857048673274508949854856999017108761448780985319561963066406054734070889115122918784800747465736192) (+.f64 x (*.f64 y x)) (if (<=.f64 x 7207194014683129/14134776518227074636666380005943348126619871175004951664972849610340958208) (*.f64 y z) (+.f64 x (*.f64 y x)))) |
(if (<=.f64 y -13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160) (*.f64 y x) (if (<=.f64 y -4237552206407293/5444517870735015415413993718908291383296) (*.f64 y z) (if (<=.f64 y 8220946709986329/91343852333181432387730302044767688728495783936) x (if (<=.f64 y 5070320586353365/65536) (*.f64 y z) (if (<=.f64 y 3500000000000000179666896716249036298944249900920719351480320) (*.f64 y x) (*.f64 y z)))))) |
(if (<=.f64 y -2171911041515221/1125899906842624) (*.f64 y x) (if (<=.f64 y 4363236677190129/288230376151711744) x (*.f64 y x))) |
x |
Compiled 148 to 75 computations (49.3% 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 130 to 49 computations (62.3% saved)
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