Time bar (total: 4.2s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.9% | 0.1% | 0 |
| 0% | 99.9% | 0.1% | 1 |
| 0% | 99.9% | 0.1% | 2 |
| 0% | 99.9% | 0.1% | 3 |
| 0% | 99.9% | 0.1% | 4 |
| 0% | 99.9% | 0.1% | 5 |
| 0% | 99.9% | 0.1% | 6 |
| 12.5% | 87.4% | 0.1% | 7 |
| 18.7% | 81.1% | 0.1% | 8 |
| 28.1% | 71.8% | 0.1% | 9 |
| 34.3% | 56.9% | 8.7% | 10 |
| 40.6% | 49.9% | 9.5% | 11 |
| 48% | 41.9% | 10.1% | 12 |
Compiled 11 to 8 computations (27.3% saved)
| 1.5s | 8255× | body | 256 | valid |
| 206.0ms | 1125× | body | 256 | invalid |
| 0.0ms | 1× | body | 512 | valid |
| 2× | egg-herbie |
| 522× | fma-def_binary64 |
| 97× | distribute-rgt-in_binary64 |
| 78× | associate-+l+_binary64 |
| 66× | associate-+r+_binary64 |
| 61× | distribute-lft-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 40 |
| 1 | 53 | 40 |
| 2 | 137 | 40 |
| 3 | 336 | 40 |
| 4 | 706 | 40 |
| 5 | 1090 | 40 |
| 6 | 1156 | 40 |
| 7 | 1162 | 40 |
| 0 | 3 | 3 |
| 1 | 3 | 3 |
| 1× | unsound |
| 1× | saturated |
| Inputs |
|---|
0 |
1 |
2 |
| Outputs |
|---|
0 |
1 |
0 |
2 |
| Inputs |
|---|
(*.f64 (+.f64 x y) (+.f64 z 1)) |
(*.f64 (+.f64 y x) (+.f64 z 1)) |
(*.f64 (+.f64 z y) (+.f64 x 1)) |
(*.f64 (+.f64 x z) (+.f64 y 1)) |
| Outputs |
|---|
(*.f64 (+.f64 x y) (+.f64 z 1)) |
(*.f64 (+.f64 z 1) (+.f64 x y)) |
(*.f64 (+.f64 y x) (+.f64 z 1)) |
(*.f64 (+.f64 z 1) (+.f64 x y)) |
(*.f64 (+.f64 z y) (+.f64 x 1)) |
(*.f64 (+.f64 y z) (+.f64 x 1)) |
(*.f64 (+.f64 x z) (+.f64 y 1)) |
(sort x y)
Compiled 13 to 10 computations (23.1% saved)
| 1× | egg-herbie |
| 186× | fma-def_binary64 |
| 32× | distribute-rgt-in_binary64 |
| 26× | associate-+l+_binary64 |
| 22× | associate-+r+_binary64 |
| 20× | distribute-lft-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 10 |
| 1 | 19 | 10 |
| 2 | 51 | 10 |
| 3 | 120 | 10 |
| 4 | 246 | 10 |
| 5 | 386 | 10 |
| 6 | 408 | 10 |
| 7 | 410 | 10 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (+.f64 x y) (+.f64 z 1)) |
| Outputs |
|---|
(*.f64 (+.f64 x y) (+.f64 z 1)) |
Compiled 10 to 7 computations (30% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 1 | 1 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 2 | 2 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.0b | (*.f64 (+.f64 x y) (+.f64 z 1)) |
Compiled 10 to 7 computations (30% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (+.f64 x y) (+.f64 z 1)) |
Compiled 20 to 10 computations (50% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | inf | (*.f64 (+.f64 x y) (+.f64 z 1)) |
| 1.0ms | x | @ | inf | (*.f64 (+.f64 x y) (+.f64 z 1)) |
| 1.0ms | z | @ | 0 | (*.f64 (+.f64 x y) (+.f64 z 1)) |
| 1.0ms | x | @ | 0 | (*.f64 (+.f64 x y) (+.f64 z 1)) |
| 1.0ms | x | @ | -inf | (*.f64 (+.f64 x y) (+.f64 z 1)) |
| 1× | batch-egg-rewrite |
| 676× | prod-diff_binary64 |
| 600× | unpow-prod-down_binary64 |
| 408× | log-prod_binary64 |
| 324× | fma-def_binary64 |
| 231× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 10 |
| 1 | 176 | 10 |
| 2 | 2546 | 10 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (+.f64 x y) (+.f64 z 1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x y) (*.f64 (+.f64 x y) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 x y) (+.f64 z 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 x y) z) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (+.f64 x y) z) 1) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (+.f64 z 1)) (*.f64 y (+.f64 z 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (+.f64 z 1)) (*.f64 x (+.f64 z 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 z 1) x) (*.f64 (+.f64 z 1) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 z 1) y) (*.f64 (+.f64 z 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (+.f64 x y) z x) y)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (+.f64 x y) z y) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) (+.f64 z 1))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) (+.f64 z 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) (+.f64 z 1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) (+.f64 z 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x y) (+.f64 z 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) (+.f64 1 (pow.f64 z 3))) (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (-.f64 (fma.f64 z z 1) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (+.f64 1 (pow.f64 z 3))) (*.f64 (-.f64 x y) (-.f64 (fma.f64 z z 1) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 z z -1)) (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (-.f64 z 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (fma.f64 z z -1)) (*.f64 (-.f64 x y) (-.f64 z 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 z 3)) (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 (-.f64 (fma.f64 z z 1) z) (fma.f64 y (-.f64 y x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 z z -1) (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 (-.f64 z 1) (fma.f64 y (-.f64 y x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 z 3)) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (-.f64 (fma.f64 z z 1) z) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 z z -1) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (-.f64 z 1) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (+.f64 x y) z) 3) (pow.f64 (+.f64 x y) 3)) (+.f64 (pow.f64 (*.f64 (+.f64 x y) z) 2) (-.f64 (pow.f64 (+.f64 x y) 2) (*.f64 (*.f64 (+.f64 x y) z) (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x y) z) 2) (pow.f64 (+.f64 x y) 2)) (-.f64 (*.f64 (+.f64 x y) z) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) (+.f64 z 1)) (fma.f64 y (-.f64 y x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (+.f64 z 1)) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 z 3)) (+.f64 x y)) (-.f64 (fma.f64 z z 1) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 z z -1) (+.f64 x y)) (-.f64 z 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x y) (+.f64 1 (pow.f64 z 3))) (-.f64 (fma.f64 z z 1) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x y) (fma.f64 z z -1)) (-.f64 z 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 z 1) (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 y (-.f64 y x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 z 1) (*.f64 (+.f64 x y) (-.f64 x y))) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 x y) (+.f64 z 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 x y) (+.f64 z 1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 x y) (+.f64 z 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 x y) (+.f64 z 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 x y) (+.f64 z 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 x y) (+.f64 z 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 x y)) (+.f64 z 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 x y) (+.f64 z 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (+.f64 x y)) (exp.f64 (*.f64 (+.f64 x y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x y))) (exp.f64 (*.f64 (+.f64 x y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (+.f64 x y) z)) (+.f64 1 (expm1.f64 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 x y) (+.f64 z 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 x y) (+.f64 z 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 x y) (+.f64 z 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 z) (log.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log1p.f64 z) (log.f64 (+.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (+.f64 z 1) (*.f64 y (+.f64 z 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (+.f64 z 1) (*.f64 x (+.f64 z 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x y) z (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x y) 1 (*.f64 (+.f64 x y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z (+.f64 x y) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x y) (*.f64 (+.f64 x y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (+.f64 x y) z) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 z 1) x (*.f64 (+.f64 z 1) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 z 1) y (*.f64 (+.f64 z 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (+.f64 x y)) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (*.f64 (+.f64 x y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (cbrt.f64 (+.f64 x y)) (*.f64 (+.f64 x y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (*.f64 (cbrt.f64 (+.f64 x y)) 1) (*.f64 (+.f64 x y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (*.f64 (cbrt.f64 (+.f64 x y)) z) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (+.f64 x y)) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)) (*.f64 (+.f64 x y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x y)) (*.f64 (sqrt.f64 (+.f64 x y)) 1) (*.f64 (+.f64 x y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x y)) (*.f64 (sqrt.f64 (+.f64 x y)) z) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 1 (fma.f64 y (-.f64 y x) (*.f64 x x))) (*.f64 (+.f64 x y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 1 (-.f64 x y)) (*.f64 (+.f64 x y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 x y) z) 1 (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x y) z)) 2) (cbrt.f64 (*.f64 (+.f64 x y) z)) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (+.f64 x y) z)) (sqrt.f64 (*.f64 (+.f64 x y) z)) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 x y))) (*.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 x y))) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 z)) (*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 z)) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (cbrt.f64 (+.f64 x y)) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (sqrt.f64 (+.f64 x y))) (sqrt.f64 (+.f64 x y)) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 x y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 x y) (sqrt.f64 z)) (sqrt.f64 z) (+.f64 x y)))))) |
| 1× | egg-herbie |
| 176× | fma-def_binary64 |
| 37× | associate-+l+_binary64 |
| 25× | associate-+r+_binary64 |
| 20× | distribute-rgt-in_binary64 |
| 15× | distribute-rgt-out_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 438 |
| 1 | 33 | 330 |
| 2 | 71 | 318 |
| 3 | 164 | 318 |
| 4 | 279 | 318 |
| 5 | 325 | 318 |
| 6 | 359 | 318 |
| 7 | 365 | 318 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 y (+.f64 1 z)) |
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z))) |
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z))) |
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z))) |
(*.f64 (+.f64 1 z) x) |
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z))) |
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z))) |
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z))) |
(*.f64 (+.f64 1 z) x) |
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z))) |
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z))) |
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z))) |
(*.f64 (+.f64 1 z) x) |
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z))) |
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z))) |
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z))) |
(*.f64 y (+.f64 1 z)) |
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z))) |
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z))) |
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z))) |
(*.f64 y (+.f64 1 z)) |
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z))) |
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z))) |
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z))) |
(+.f64 y x) |
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x)) |
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x)) |
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x)) |
(*.f64 (+.f64 y x) z) |
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x)) |
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x)) |
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x)) |
(*.f64 (+.f64 y x) z) |
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x)) |
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x)) |
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x)) |
| Outputs |
|---|
(*.f64 y (+.f64 1 z)) |
(+.f64 y (*.f64 y z)) |
(fma.f64 y z y) |
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z))) |
(fma.f64 (+.f64 1 z) x (*.f64 y (+.f64 1 z))) |
(*.f64 (+.f64 1 z) (+.f64 y x)) |
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z))) |
(fma.f64 (+.f64 1 z) x (*.f64 y (+.f64 1 z))) |
(*.f64 (+.f64 1 z) (+.f64 y x)) |
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z))) |
(fma.f64 (+.f64 1 z) x (*.f64 y (+.f64 1 z))) |
(*.f64 (+.f64 1 z) (+.f64 y x)) |
(*.f64 (+.f64 1 z) x) |
(fma.f64 z x x) |
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z))) |
(fma.f64 (+.f64 1 z) x (*.f64 y (+.f64 1 z))) |
(*.f64 (+.f64 1 z) (+.f64 y x)) |
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z))) |
(fma.f64 (+.f64 1 z) x (*.f64 y (+.f64 1 z))) |
(*.f64 (+.f64 1 z) (+.f64 y x)) |
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z))) |
(fma.f64 (+.f64 1 z) x (*.f64 y (+.f64 1 z))) |
(*.f64 (+.f64 1 z) (+.f64 y x)) |
(*.f64 (+.f64 1 z) x) |
(fma.f64 z x x) |
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z))) |
(fma.f64 (+.f64 1 z) x (*.f64 y (+.f64 1 z))) |
(*.f64 (+.f64 1 z) (+.f64 y x)) |
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z))) |
(fma.f64 (+.f64 1 z) x (*.f64 y (+.f64 1 z))) |
(*.f64 (+.f64 1 z) (+.f64 y x)) |
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z))) |
(fma.f64 (+.f64 1 z) x (*.f64 y (+.f64 1 z))) |
(*.f64 (+.f64 1 z) (+.f64 y x)) |
(*.f64 (+.f64 1 z) x) |
(fma.f64 z x x) |
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z))) |
(fma.f64 (+.f64 1 z) x (*.f64 y (+.f64 1 z))) |
(*.f64 (+.f64 1 z) (+.f64 y x)) |
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z))) |
(fma.f64 (+.f64 1 z) x (*.f64 y (+.f64 1 z))) |
(*.f64 (+.f64 1 z) (+.f64 y x)) |
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z))) |
(fma.f64 (+.f64 1 z) x (*.f64 y (+.f64 1 z))) |
(*.f64 (+.f64 1 z) (+.f64 y x)) |
(*.f64 y (+.f64 1 z)) |
(+.f64 y (*.f64 y z)) |
(fma.f64 y z y) |
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z))) |
(fma.f64 (+.f64 1 z) x (*.f64 y (+.f64 1 z))) |
(*.f64 (+.f64 1 z) (+.f64 y x)) |
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z))) |
(fma.f64 (+.f64 1 z) x (*.f64 y (+.f64 1 z))) |
(*.f64 (+.f64 1 z) (+.f64 y x)) |
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z))) |
(fma.f64 (+.f64 1 z) x (*.f64 y (+.f64 1 z))) |
(*.f64 (+.f64 1 z) (+.f64 y x)) |
(*.f64 y (+.f64 1 z)) |
(+.f64 y (*.f64 y z)) |
(fma.f64 y z y) |
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z))) |
(fma.f64 (+.f64 1 z) x (*.f64 y (+.f64 1 z))) |
(*.f64 (+.f64 1 z) (+.f64 y x)) |
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z))) |
(fma.f64 (+.f64 1 z) x (*.f64 y (+.f64 1 z))) |
(*.f64 (+.f64 1 z) (+.f64 y x)) |
(+.f64 (*.f64 (+.f64 1 z) x) (*.f64 y (+.f64 1 z))) |
(fma.f64 (+.f64 1 z) x (*.f64 y (+.f64 1 z))) |
(*.f64 (+.f64 1 z) (+.f64 y x)) |
(+.f64 y x) |
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x)) |
(fma.f64 (+.f64 1 z) x (*.f64 y (+.f64 1 z))) |
(*.f64 (+.f64 1 z) (+.f64 y x)) |
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x)) |
(fma.f64 (+.f64 1 z) x (*.f64 y (+.f64 1 z))) |
(*.f64 (+.f64 1 z) (+.f64 y x)) |
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x)) |
(fma.f64 (+.f64 1 z) x (*.f64 y (+.f64 1 z))) |
(*.f64 (+.f64 1 z) (+.f64 y x)) |
(*.f64 (+.f64 y x) z) |
(*.f64 z (+.f64 y x)) |
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x)) |
(fma.f64 (+.f64 1 z) x (*.f64 y (+.f64 1 z))) |
(*.f64 (+.f64 1 z) (+.f64 y x)) |
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x)) |
(fma.f64 (+.f64 1 z) x (*.f64 y (+.f64 1 z))) |
(*.f64 (+.f64 1 z) (+.f64 y x)) |
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x)) |
(fma.f64 (+.f64 1 z) x (*.f64 y (+.f64 1 z))) |
(*.f64 (+.f64 1 z) (+.f64 y x)) |
(*.f64 (+.f64 y x) z) |
(*.f64 z (+.f64 y x)) |
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x)) |
(fma.f64 (+.f64 1 z) x (*.f64 y (+.f64 1 z))) |
(*.f64 (+.f64 1 z) (+.f64 y x)) |
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x)) |
(fma.f64 (+.f64 1 z) x (*.f64 y (+.f64 1 z))) |
(*.f64 (+.f64 1 z) (+.f64 y x)) |
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x)) |
(fma.f64 (+.f64 1 z) x (*.f64 y (+.f64 1 z))) |
(*.f64 (+.f64 1 z) (+.f64 y x)) |
Compiled 1162 to 452 computations (61.1% saved)
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 81 | 5 | 86 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 82 | 5 | 87 |
| Status | Error | Program |
|---|---|---|
| ▶ | 30.4b | (*.f64 y (+.f64 1 z)) |
| ▶ | 0.0b | (+.f64 (+.f64 x y) (*.f64 (+.f64 x y) z)) |
| ▶ | 42.1b | (*.f64 (+.f64 y x) z) |
| ▶ | 21.2b | (+.f64 y x) |
| ▶ | 32.6b | (*.f64 (+.f64 1 z) x) |
Compiled 84 to 54 computations (35.7% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (+.f64 x y) z) |
| ✓ | 0.0b | (+.f64 (+.f64 x y) (*.f64 (+.f64 x y) z)) |
Compiled 23 to 6 computations (73.9% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | inf | (+.f64 (+.f64 x y) (*.f64 (+.f64 x y) z)) |
| 1.0ms | x | @ | 0 | (+.f64 (+.f64 x y) (*.f64 (+.f64 x y) z)) |
| 1.0ms | z | @ | -inf | (+.f64 (+.f64 x y) (*.f64 (+.f64 x y) z)) |
| 0.0ms | y | @ | -inf | (+.f64 (+.f64 x y) (*.f64 (+.f64 x y) z)) |
| 0.0ms | x | @ | -inf | (+.f64 (+.f64 x y) (*.f64 (+.f64 x y) z)) |
| 1× | batch-egg-rewrite |
| 493× | fma-def_binary64 |
| 412× | log-prod_binary64 |
| 403× | prod-exp_binary64 |
| 339× | pow-prod-down_binary64 |
| 300× | exp-prod_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 20 |
| 1 | 160 | 17 |
| 2 | 2479 | 17 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (+.f64 x y) (*.f64 (+.f64 x y) z)) |
(*.f64 (+.f64 x y) z) |
| Outputs |
|---|
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fma.f64 1 (*.f64 (+.f64 x y) z) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 (+.f64 x y) z y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (+.f64 x y) z)) (pow.f64 (cbrt.f64 (*.f64 (+.f64 x y) z)) 2) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x y) z)) 2) (cbrt.f64 (*.f64 (+.f64 x y) z)) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2) (+.f64 x (*.f64 (+.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (+.f64 x (*.f64 (+.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (+.f64 x y)) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (fma.f64 (+.f64 x y) z y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (fma.f64 (+.f64 x y) z y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (fma.f64 (+.f64 x y) z y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (fma.f64 (+.f64 x y) z y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (*.f64 (+.f64 x y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (cbrt.f64 (+.f64 x y)) (*.f64 (+.f64 x y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (*.f64 (cbrt.f64 (+.f64 x y)) z) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (+.f64 x y) z)) (sqrt.f64 (*.f64 (+.f64 x y) z)) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 y) (+.f64 x (*.f64 (+.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (+.f64 x y)) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 (+.f64 x y) z y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (fma.f64 (+.f64 x y) z y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)) (*.f64 (+.f64 x y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x y)) (*.f64 (sqrt.f64 (+.f64 x y)) z) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 1 (fma.f64 x x (*.f64 y (-.f64 y x)))) (*.f64 (+.f64 x y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 1 (-.f64 x y)) (*.f64 (+.f64 x y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x y) z y)) 2) (cbrt.f64 (fma.f64 (+.f64 x y) z y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (+.f64 x y) z y)) (sqrt.f64 (fma.f64 (+.f64 x y) z y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 x y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 x y) (sqrt.f64 z)) (sqrt.f64 z) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (cbrt.f64 (+.f64 x y)) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (sqrt.f64 (+.f64 x y))) (sqrt.f64 (+.f64 x y)) (+.f64 x y)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 x y) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x z) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y z) (*.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z x) (*.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z y) (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (+.f64 x y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (+.f64 x y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x y) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) z) (fma.f64 x x (*.f64 y (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) z) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 x y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 x y) z) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 x y) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 x y) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 x y) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (+.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (+.f64 x y) z))) 2)) (cbrt.f64 (log.f64 (*.f64 (+.f64 x y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 x y) z)))) (sqrt.f64 (log.f64 (*.f64 (+.f64 x y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 x y) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 x y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 x y) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x y) z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (+.f64 x y) z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 x y) z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (+.f64 x y) z))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (+.f64 x y) z)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (+.f64 x y) z)) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 x y)) 1) (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (+.f64 x y)) (*.f64 (log.f64 z) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 x y)) 1) (*.f64 (log.f64 z) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 z) 1) (log.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 z) (*.f64 (log.f64 (+.f64 x y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 z) 1) (*.f64 (log.f64 (+.f64 x y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x z (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y z (*.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z x (*.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z y (*.f64 z x)))))) |
| 1× | egg-herbie |
| 740× | fma-def_binary64 |
| 623× | fma-neg_binary64 |
| 153× | distribute-rgt-in_binary64 |
| 99× | distribute-lft-in_binary64 |
| 97× | unsub-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 606 |
| 1 | 94 | 579 |
| 2 | 211 | 552 |
| 3 | 501 | 552 |
| 4 | 1072 | 552 |
| 5 | 2015 | 552 |
| 6 | 2795 | 552 |
| 7 | 2886 | 552 |
| 8 | 2886 | 552 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (*.f64 y z) y) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 (+.f64 1 z) x) y)) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 (+.f64 1 z) x) y)) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 (+.f64 1 z) x) y)) |
(*.f64 (+.f64 1 z) x) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 (+.f64 1 z) x) y)) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 (+.f64 1 z) x) y)) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 (+.f64 1 z) x) y)) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 z) 1) x)) |
(+.f64 (*.f64 y z) (+.f64 y (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 z) 1) x)))) |
(+.f64 (*.f64 y z) (+.f64 y (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 z) 1) x)))) |
(+.f64 (*.f64 y z) (+.f64 y (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 z) 1) x)))) |
(+.f64 (*.f64 z x) x) |
(+.f64 (*.f64 z x) (+.f64 (*.f64 y (+.f64 1 z)) x)) |
(+.f64 (*.f64 z x) (+.f64 (*.f64 y (+.f64 1 z)) x)) |
(+.f64 (*.f64 z x) (+.f64 (*.f64 y (+.f64 1 z)) x)) |
(*.f64 y (+.f64 1 z)) |
(+.f64 (*.f64 z x) (+.f64 (*.f64 y (+.f64 1 z)) x)) |
(+.f64 (*.f64 z x) (+.f64 (*.f64 y (+.f64 1 z)) x)) |
(+.f64 (*.f64 z x) (+.f64 (*.f64 y (+.f64 1 z)) x)) |
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 z) 1))) |
(+.f64 (*.f64 z x) (+.f64 x (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 z) 1))))) |
(+.f64 (*.f64 z x) (+.f64 x (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 z) 1))))) |
(+.f64 (*.f64 z x) (+.f64 x (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 z) 1))))) |
(+.f64 y x) |
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x)) |
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x)) |
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x)) |
(*.f64 (+.f64 y x) z) |
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x)) |
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x)) |
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x)) |
(*.f64 (+.f64 y x) z) |
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x)) |
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x)) |
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x)) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(*.f64 z x) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(*.f64 z x) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(*.f64 z x) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(*.f64 (+.f64 y x) z) |
(*.f64 (+.f64 y x) z) |
(*.f64 (+.f64 y x) z) |
(*.f64 (+.f64 y x) z) |
(*.f64 (+.f64 y x) z) |
(*.f64 (+.f64 y x) z) |
(*.f64 (+.f64 y x) z) |
(*.f64 (+.f64 y x) z) |
(*.f64 (+.f64 y x) z) |
(*.f64 (+.f64 y x) z) |
(*.f64 (+.f64 y x) z) |
(*.f64 (+.f64 y x) z) |
| Outputs |
|---|
(+.f64 (*.f64 y z) y) |
(fma.f64 y z y) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 (+.f64 1 z) x) y)) |
(fma.f64 y z (+.f64 y (fma.f64 z x x))) |
(+.f64 y (fma.f64 z (+.f64 y x) x)) |
(*.f64 (+.f64 z 1) (+.f64 y x)) |
(*.f64 (-.f64 z -1) (+.f64 y x)) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 (+.f64 1 z) x) y)) |
(fma.f64 y z (+.f64 y (fma.f64 z x x))) |
(+.f64 y (fma.f64 z (+.f64 y x) x)) |
(*.f64 (+.f64 z 1) (+.f64 y x)) |
(*.f64 (-.f64 z -1) (+.f64 y x)) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 (+.f64 1 z) x) y)) |
(fma.f64 y z (+.f64 y (fma.f64 z x x))) |
(+.f64 y (fma.f64 z (+.f64 y x) x)) |
(*.f64 (+.f64 z 1) (+.f64 y x)) |
(*.f64 (-.f64 z -1) (+.f64 y x)) |
(*.f64 (+.f64 1 z) x) |
(fma.f64 z x x) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 (+.f64 1 z) x) y)) |
(fma.f64 y z (+.f64 y (fma.f64 z x x))) |
(+.f64 y (fma.f64 z (+.f64 y x) x)) |
(*.f64 (+.f64 z 1) (+.f64 y x)) |
(*.f64 (-.f64 z -1) (+.f64 y x)) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 (+.f64 1 z) x) y)) |
(fma.f64 y z (+.f64 y (fma.f64 z x x))) |
(+.f64 y (fma.f64 z (+.f64 y x) x)) |
(*.f64 (+.f64 z 1) (+.f64 y x)) |
(*.f64 (-.f64 z -1) (+.f64 y x)) |
(+.f64 (*.f64 y z) (+.f64 (*.f64 (+.f64 1 z) x) y)) |
(fma.f64 y z (+.f64 y (fma.f64 z x x))) |
(+.f64 y (fma.f64 z (+.f64 y x) x)) |
(*.f64 (+.f64 z 1) (+.f64 y x)) |
(*.f64 (-.f64 z -1) (+.f64 y x)) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 z) 1) x)) |
(fma.f64 z x x) |
(+.f64 (*.f64 y z) (+.f64 y (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 z) 1) x)))) |
(fma.f64 y z (+.f64 y (fma.f64 z x x))) |
(+.f64 y (fma.f64 z (+.f64 y x) x)) |
(*.f64 (+.f64 z 1) (+.f64 y x)) |
(*.f64 (-.f64 z -1) (+.f64 y x)) |
(+.f64 (*.f64 y z) (+.f64 y (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 z) 1) x)))) |
(fma.f64 y z (+.f64 y (fma.f64 z x x))) |
(+.f64 y (fma.f64 z (+.f64 y x) x)) |
(*.f64 (+.f64 z 1) (+.f64 y x)) |
(*.f64 (-.f64 z -1) (+.f64 y x)) |
(+.f64 (*.f64 y z) (+.f64 y (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 z) 1) x)))) |
(fma.f64 y z (+.f64 y (fma.f64 z x x))) |
(+.f64 y (fma.f64 z (+.f64 y x) x)) |
(*.f64 (+.f64 z 1) (+.f64 y x)) |
(*.f64 (-.f64 z -1) (+.f64 y x)) |
(+.f64 (*.f64 z x) x) |
(fma.f64 z x x) |
(+.f64 (*.f64 z x) (+.f64 (*.f64 y (+.f64 1 z)) x)) |
(fma.f64 y z (+.f64 y (fma.f64 z x x))) |
(+.f64 y (fma.f64 z (+.f64 y x) x)) |
(*.f64 (+.f64 z 1) (+.f64 y x)) |
(*.f64 (-.f64 z -1) (+.f64 y x)) |
(+.f64 (*.f64 z x) (+.f64 (*.f64 y (+.f64 1 z)) x)) |
(fma.f64 y z (+.f64 y (fma.f64 z x x))) |
(+.f64 y (fma.f64 z (+.f64 y x) x)) |
(*.f64 (+.f64 z 1) (+.f64 y x)) |
(*.f64 (-.f64 z -1) (+.f64 y x)) |
(+.f64 (*.f64 z x) (+.f64 (*.f64 y (+.f64 1 z)) x)) |
(fma.f64 y z (+.f64 y (fma.f64 z x x))) |
(+.f64 y (fma.f64 z (+.f64 y x) x)) |
(*.f64 (+.f64 z 1) (+.f64 y x)) |
(*.f64 (-.f64 z -1) (+.f64 y x)) |
(*.f64 y (+.f64 1 z)) |
(fma.f64 y z y) |
(+.f64 (*.f64 z x) (+.f64 (*.f64 y (+.f64 1 z)) x)) |
(fma.f64 y z (+.f64 y (fma.f64 z x x))) |
(+.f64 y (fma.f64 z (+.f64 y x) x)) |
(*.f64 (+.f64 z 1) (+.f64 y x)) |
(*.f64 (-.f64 z -1) (+.f64 y x)) |
(+.f64 (*.f64 z x) (+.f64 (*.f64 y (+.f64 1 z)) x)) |
(fma.f64 y z (+.f64 y (fma.f64 z x x))) |
(+.f64 y (fma.f64 z (+.f64 y x) x)) |
(*.f64 (+.f64 z 1) (+.f64 y x)) |
(*.f64 (-.f64 z -1) (+.f64 y x)) |
(+.f64 (*.f64 z x) (+.f64 (*.f64 y (+.f64 1 z)) x)) |
(fma.f64 y z (+.f64 y (fma.f64 z x x))) |
(+.f64 y (fma.f64 z (+.f64 y x) x)) |
(*.f64 (+.f64 z 1) (+.f64 y x)) |
(*.f64 (-.f64 z -1) (+.f64 y x)) |
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 z) 1))) |
(fma.f64 y z y) |
(+.f64 (*.f64 z x) (+.f64 x (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 z) 1))))) |
(fma.f64 y z (+.f64 y (fma.f64 z x x))) |
(+.f64 y (fma.f64 z (+.f64 y x) x)) |
(*.f64 (+.f64 z 1) (+.f64 y x)) |
(*.f64 (-.f64 z -1) (+.f64 y x)) |
(+.f64 (*.f64 z x) (+.f64 x (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 z) 1))))) |
(fma.f64 y z (+.f64 y (fma.f64 z x x))) |
(+.f64 y (fma.f64 z (+.f64 y x) x)) |
(*.f64 (+.f64 z 1) (+.f64 y x)) |
(*.f64 (-.f64 z -1) (+.f64 y x)) |
(+.f64 (*.f64 z x) (+.f64 x (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 z) 1))))) |
(fma.f64 y z (+.f64 y (fma.f64 z x x))) |
(+.f64 y (fma.f64 z (+.f64 y x) x)) |
(*.f64 (+.f64 z 1) (+.f64 y x)) |
(*.f64 (-.f64 z -1) (+.f64 y x)) |
(+.f64 y x) |
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x)) |
(fma.f64 y z (+.f64 y (fma.f64 z x x))) |
(+.f64 y (fma.f64 z (+.f64 y x) x)) |
(*.f64 (+.f64 z 1) (+.f64 y x)) |
(*.f64 (-.f64 z -1) (+.f64 y x)) |
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x)) |
(fma.f64 y z (+.f64 y (fma.f64 z x x))) |
(+.f64 y (fma.f64 z (+.f64 y x) x)) |
(*.f64 (+.f64 z 1) (+.f64 y x)) |
(*.f64 (-.f64 z -1) (+.f64 y x)) |
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x)) |
(fma.f64 y z (+.f64 y (fma.f64 z x x))) |
(+.f64 y (fma.f64 z (+.f64 y x) x)) |
(*.f64 (+.f64 z 1) (+.f64 y x)) |
(*.f64 (-.f64 z -1) (+.f64 y x)) |
(*.f64 (+.f64 y x) z) |
(*.f64 z (+.f64 y x)) |
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x)) |
(fma.f64 y z (+.f64 y (fma.f64 z x x))) |
(+.f64 y (fma.f64 z (+.f64 y x) x)) |
(*.f64 (+.f64 z 1) (+.f64 y x)) |
(*.f64 (-.f64 z -1) (+.f64 y x)) |
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x)) |
(fma.f64 y z (+.f64 y (fma.f64 z x x))) |
(+.f64 y (fma.f64 z (+.f64 y x) x)) |
(*.f64 (+.f64 z 1) (+.f64 y x)) |
(*.f64 (-.f64 z -1) (+.f64 y x)) |
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x)) |
(fma.f64 y z (+.f64 y (fma.f64 z x x))) |
(+.f64 y (fma.f64 z (+.f64 y x) x)) |
(*.f64 (+.f64 z 1) (+.f64 y x)) |
(*.f64 (-.f64 z -1) (+.f64 y x)) |
(*.f64 (+.f64 y x) z) |
(*.f64 z (+.f64 y x)) |
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x)) |
(fma.f64 y z (+.f64 y (fma.f64 z x x))) |
(+.f64 y (fma.f64 z (+.f64 y x) x)) |
(*.f64 (+.f64 z 1) (+.f64 y x)) |
(*.f64 (-.f64 z -1) (+.f64 y x)) |
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x)) |
(fma.f64 y z (+.f64 y (fma.f64 z x x))) |
(+.f64 y (fma.f64 z (+.f64 y x) x)) |
(*.f64 (+.f64 z 1) (+.f64 y x)) |
(*.f64 (-.f64 z -1) (+.f64 y x)) |
(+.f64 y (+.f64 (*.f64 (+.f64 y x) z) x)) |
(fma.f64 y z (+.f64 y (fma.f64 z x x))) |
(+.f64 y (fma.f64 z (+.f64 y x) x)) |
(*.f64 (+.f64 z 1) (+.f64 y x)) |
(*.f64 (-.f64 z -1) (+.f64 y x)) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(*.f64 z (+.f64 y x)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(*.f64 z (+.f64 y x)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(*.f64 z (+.f64 y x)) |
(*.f64 z x) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(*.f64 z (+.f64 y x)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(*.f64 z (+.f64 y x)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(*.f64 z (+.f64 y x)) |
(*.f64 z x) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(*.f64 z (+.f64 y x)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(*.f64 z (+.f64 y x)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(*.f64 z (+.f64 y x)) |
(*.f64 z x) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(*.f64 z (+.f64 y x)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(*.f64 z (+.f64 y x)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(*.f64 z (+.f64 y x)) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(*.f64 z (+.f64 y x)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(*.f64 z (+.f64 y x)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(*.f64 z (+.f64 y x)) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(*.f64 z (+.f64 y x)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(*.f64 z (+.f64 y x)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(*.f64 z (+.f64 y x)) |
(*.f64 (+.f64 y x) z) |
(*.f64 z (+.f64 y x)) |
(*.f64 (+.f64 y x) z) |
(*.f64 z (+.f64 y x)) |
(*.f64 (+.f64 y x) z) |
(*.f64 z (+.f64 y x)) |
(*.f64 (+.f64 y x) z) |
(*.f64 z (+.f64 y x)) |
(*.f64 (+.f64 y x) z) |
(*.f64 z (+.f64 y x)) |
(*.f64 (+.f64 y x) z) |
(*.f64 z (+.f64 y x)) |
(*.f64 (+.f64 y x) z) |
(*.f64 z (+.f64 y x)) |
(*.f64 (+.f64 y x) z) |
(*.f64 z (+.f64 y x)) |
(*.f64 (+.f64 y x) z) |
(*.f64 z (+.f64 y x)) |
(*.f64 (+.f64 y x) z) |
(*.f64 z (+.f64 y x)) |
(*.f64 (+.f64 y x) z) |
(*.f64 z (+.f64 y x)) |
(*.f64 (+.f64 y x) z) |
(*.f64 z (+.f64 y x)) |
Compiled 8 to 4 computations (50% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 y (+.f64 1 z)) |
Compiled 14 to 9 computations (35.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (*.f64 y (+.f64 1 z)) |
| 0.0ms | y | @ | inf | (*.f64 y (+.f64 1 z)) |
| 0.0ms | z | @ | -inf | (*.f64 y (+.f64 1 z)) |
| 0.0ms | y | @ | -inf | (*.f64 y (+.f64 1 z)) |
| 0.0ms | z | @ | 0 | (*.f64 y (+.f64 1 z)) |
| 1× | batch-egg-rewrite |
| 643× | pow1_binary64 |
| 598× | add-log-exp_binary64 |
| 598× | log1p-expm1-u_binary64 |
| 598× | expm1-log1p-u_binary64 |
| 585× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 126 | 7 |
| 2 | 1666 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 y (+.f64 1 z)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 (*.f64 y z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y z) y)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 y (*.f64 y z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 y z) 3)) (+.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 y (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 y y) (*.f64 (*.f64 y z) (*.f64 y z))) (-.f64 y (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 z 3)) y) (+.f64 1 (fma.f64 z z (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 z z)) y) (-.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (+.f64 1 (pow.f64 z 3))) (+.f64 1 (fma.f64 z z (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 1 (*.f64 z z))) (-.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 y (*.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 y (*.f64 y z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 y (*.f64 y z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 y (*.f64 y z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 y (*.f64 y z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (+.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 y (*.f64 y z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (+.f64 1 z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 1 z) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 y (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 y (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 z) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 1 (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 y (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y z)))))) |
| 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 | 8 | 54 |
| 2 | 12 | 54 |
| 3 | 16 | 54 |
| 4 | 22 | 54 |
| 5 | 28 | 54 |
| 6 | 41 | 54 |
| 7 | 45 | 54 |
| 8 | 47 | 54 |
| 1× | saturated |
| Inputs |
|---|
y |
(+.f64 (*.f64 y z) y) |
(+.f64 (*.f64 y z) y) |
(+.f64 (*.f64 y z) y) |
(*.f64 y z) |
(+.f64 (*.f64 y z) y) |
(+.f64 (*.f64 y z) y) |
(+.f64 (*.f64 y z) y) |
(*.f64 y z) |
(+.f64 (*.f64 y z) y) |
(+.f64 (*.f64 y z) y) |
(+.f64 (*.f64 y z) y) |
| Outputs |
|---|
y |
(+.f64 (*.f64 y z) y) |
(fma.f64 y z y) |
(+.f64 (*.f64 y z) y) |
(fma.f64 y z y) |
(+.f64 (*.f64 y z) y) |
(fma.f64 y z y) |
(*.f64 y z) |
(+.f64 (*.f64 y z) y) |
(fma.f64 y z y) |
(+.f64 (*.f64 y z) y) |
(fma.f64 y z y) |
(+.f64 (*.f64 y z) y) |
(fma.f64 y z y) |
(*.f64 y z) |
(+.f64 (*.f64 y z) y) |
(fma.f64 y z y) |
(+.f64 (*.f64 y z) y) |
(fma.f64 y z y) |
(+.f64 (*.f64 y z) y) |
(fma.f64 y z y) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (+.f64 1 z) x) |
Compiled 14 to 9 computations (35.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | z | @ | -inf | (*.f64 (+.f64 1 z) x) |
| 0.0ms | x | @ | 0 | (*.f64 (+.f64 1 z) x) |
| 0.0ms | z | @ | 0 | (*.f64 (+.f64 1 z) x) |
| 0.0ms | x | @ | inf | (*.f64 (+.f64 1 z) x) |
| 0.0ms | x | @ | -inf | (*.f64 (+.f64 1 z) 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 z) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z x) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x z) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 x (*.f64 z x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 z 3)) x) (+.f64 1 (-.f64 (*.f64 z z) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 z z)) x) (-.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 1 (pow.f64 z 3))) (+.f64 1 (-.f64 (*.f64 z z) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (*.f64 z z))) (-.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (*.f64 z x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (*.f64 z x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (*.f64 z x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (*.f64 z x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (*.f64 z x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (+.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (*.f64 z x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 z) (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 z x) x) |
(+.f64 (*.f64 z x) x) |
(+.f64 (*.f64 z x) x) |
(*.f64 z x) |
(+.f64 (*.f64 z x) x) |
(+.f64 (*.f64 z x) x) |
(+.f64 (*.f64 z x) x) |
(*.f64 z x) |
(+.f64 (*.f64 z x) x) |
(+.f64 (*.f64 z x) x) |
(+.f64 (*.f64 z x) x) |
| Outputs |
|---|
x |
(+.f64 (*.f64 z x) x) |
(fma.f64 z x x) |
(fma.f64 x z x) |
(+.f64 (*.f64 z x) x) |
(fma.f64 z x x) |
(fma.f64 x z x) |
(+.f64 (*.f64 z x) x) |
(fma.f64 z x x) |
(fma.f64 x z x) |
(*.f64 z x) |
(*.f64 x z) |
(+.f64 (*.f64 z x) x) |
(fma.f64 z x x) |
(fma.f64 x z x) |
(+.f64 (*.f64 z x) x) |
(fma.f64 z x x) |
(fma.f64 x z x) |
(+.f64 (*.f64 z x) x) |
(fma.f64 z x x) |
(fma.f64 x z x) |
(*.f64 z x) |
(*.f64 x z) |
(+.f64 (*.f64 z x) x) |
(fma.f64 z x x) |
(fma.f64 x z x) |
(+.f64 (*.f64 z x) x) |
(fma.f64 z x x) |
(fma.f64 x z x) |
(+.f64 (*.f64 z x) x) |
(fma.f64 z x x) |
(fma.f64 x z x) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (+.f64 y x) z) |
Compiled 14 to 5 computations (64.3% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | 0 | (*.f64 (+.f64 y x) z) |
| 0.0ms | x | @ | 0 | (*.f64 (+.f64 y x) z) |
| 0.0ms | y | @ | -inf | (*.f64 (+.f64 y x) z) |
| 0.0ms | y | @ | inf | (*.f64 (+.f64 y x) z) |
| 0.0ms | x | @ | -inf | (*.f64 (+.f64 y x) z) |
| 1× | batch-egg-rewrite |
| 715× | pow1_binary64 |
| 663× | add-log-exp_binary64 |
| 663× | log1p-expm1-u_binary64 |
| 663× | expm1-log1p-u_binary64 |
| 648× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 128 | 7 |
| 2 | 1776 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (+.f64 y x) z) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y z) (*.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x z) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z y) (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z x) (*.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (+.f64 y x) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 y 3) (pow.f64 x 3)) z) (fma.f64 y y (*.f64 x (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 y y) (*.f64 x x)) z) (-.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (+.f64 (pow.f64 y 3) (pow.f64 x 3))) (fma.f64 y y (*.f64 x (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (-.f64 (*.f64 y y) (*.f64 x x))) (-.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 y x) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 y x) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 y x) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 y x) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 y x) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 y x) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (+.f64 y x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 y x) z))))))) |
| 1× | egg-herbie |
| 4× | *-commutative_binary64 |
| 4× | fma-def_binary64 |
| 2× | +-commutative_binary64 |
| 2× | distribute-rgt-out_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 168 |
| 1 | 11 | 150 |
| 2 | 18 | 150 |
| 3 | 20 | 150 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 z x) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(*.f64 z x) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(*.f64 z x) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
| Outputs |
|---|
(*.f64 z x) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(fma.f64 y z (*.f64 z x)) |
(*.f64 z (+.f64 x y)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(fma.f64 y z (*.f64 z x)) |
(*.f64 z (+.f64 x y)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(fma.f64 y z (*.f64 z x)) |
(*.f64 z (+.f64 x y)) |
(*.f64 y z) |
(*.f64 z y) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(fma.f64 y z (*.f64 z x)) |
(*.f64 z (+.f64 x y)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(fma.f64 y z (*.f64 z x)) |
(*.f64 z (+.f64 x y)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(fma.f64 y z (*.f64 z x)) |
(*.f64 z (+.f64 x y)) |
(*.f64 y z) |
(*.f64 z y) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(fma.f64 y z (*.f64 z x)) |
(*.f64 z (+.f64 x y)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(fma.f64 y z (*.f64 z x)) |
(*.f64 z (+.f64 x y)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(fma.f64 y z (*.f64 z x)) |
(*.f64 z (+.f64 x y)) |
(*.f64 y z) |
(*.f64 z y) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(fma.f64 y z (*.f64 z x)) |
(*.f64 z (+.f64 x y)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(fma.f64 y z (*.f64 z x)) |
(*.f64 z (+.f64 x y)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(fma.f64 y z (*.f64 z x)) |
(*.f64 z (+.f64 x y)) |
(*.f64 z x) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(fma.f64 y z (*.f64 z x)) |
(*.f64 z (+.f64 x y)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(fma.f64 y z (*.f64 z x)) |
(*.f64 z (+.f64 x y)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(fma.f64 y z (*.f64 z x)) |
(*.f64 z (+.f64 x y)) |
(*.f64 z x) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(fma.f64 y z (*.f64 z x)) |
(*.f64 z (+.f64 x y)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(fma.f64 y z (*.f64 z x)) |
(*.f64 z (+.f64 x y)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(fma.f64 y z (*.f64 z x)) |
(*.f64 z (+.f64 x y)) |
Compiled 2798 to 977 computations (65.1% saved)
8 alts after pruning (5 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 228 | 5 | 233 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 2 | 2 | 4 |
| Total | 230 | 8 | 238 |
| Status | Error | Program |
|---|---|---|
| ▶ | 52.9b | (*.f64 z x) |
| 41.8b | y | |
| 42.2b | x | |
| ▶ | 32.6b | (+.f64 (*.f64 z x) x) |
| ✓ | 30.4b | (*.f64 y (+.f64 1 z)) |
| ▶ | 51.7b | (*.f64 z y) |
| ✓ | 42.1b | (*.f64 (+.f64 y x) z) |
| ✓ | 21.2b | (+.f64 y x) |
Compiled 50 to 34 computations (32% saved)
Compiled 8 to 4 computations (50% saved)
Compiled 8 to 4 computations (50% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 z x) x) |
Compiled 13 to 5 computations (61.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (+.f64 (*.f64 z x) x) |
| 0.0ms | x | @ | -inf | (+.f64 (*.f64 z x) x) |
| 0.0ms | x | @ | 0 | (+.f64 (*.f64 z x) x) |
| 0.0ms | z | @ | 0 | (+.f64 (*.f64 z x) x) |
| 0.0ms | z | @ | -inf | (+.f64 (*.f64 z 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 z x) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 z x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 z x) 2) (-.f64 (*.f64 z x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 z x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 z 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 z x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 z x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 z x x)) (pow.f64 (cbrt.f64 (fma.f64 z x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 z x x)) 2) (cbrt.f64 (fma.f64 z x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 z x x)) (sqrt.f64 (fma.f64 z x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 z x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 z x) 2) (*.f64 x (-.f64 x (*.f64 z x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 z x) 2) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 z x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 z 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 z 1) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 z 1) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 z 1) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 z x) 2) (*.f64 x (-.f64 x (*.f64 z x)))) (+.f64 (pow.f64 (*.f64 z x) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 z x) x) (-.f64 (pow.f64 (*.f64 z x) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 z x) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 z x) 2) (*.f64 x (-.f64 x (*.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 z x) 3) (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 z x) 2) (*.f64 z (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 z x) 2) (*.f64 x x)) (-.f64 (*.f64 z x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z x) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 z x) 2) (*.f64 x (-.f64 x (*.f64 z x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z x) 2) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 z x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z x) 2)) (-.f64 x (*.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 z x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 z x x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 z x x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 z x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 z x x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 z x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 z x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 z x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 z x x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 z x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z x x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x z x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 z x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) (cbrt.f64 (*.f64 z x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 (*.f64 z 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 z x) |
(*.f64 z x) |
(*.f64 (+.f64 1 z) x) |
(*.f64 (+.f64 1 z) x) |
(*.f64 (+.f64 1 z) x) |
(*.f64 (+.f64 1 z) x) |
(*.f64 (+.f64 1 z) x) |
(*.f64 (+.f64 1 z) x) |
(*.f64 (+.f64 1 z) x) |
(*.f64 (+.f64 1 z) x) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 z) 1) x)) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 z) 1) x)) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 z) 1) x)) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 z) 1) x)) |
| Outputs |
|---|
x |
(*.f64 z x) |
(*.f64 x z) |
(*.f64 z x) |
(*.f64 x z) |
(*.f64 (+.f64 1 z) x) |
(*.f64 x (+.f64 z 1)) |
(fma.f64 x z x) |
(*.f64 (+.f64 1 z) x) |
(*.f64 x (+.f64 z 1)) |
(fma.f64 x z x) |
(*.f64 (+.f64 1 z) x) |
(*.f64 x (+.f64 z 1)) |
(fma.f64 x z x) |
(*.f64 (+.f64 1 z) x) |
(*.f64 x (+.f64 z 1)) |
(fma.f64 x z x) |
(*.f64 (+.f64 1 z) x) |
(*.f64 x (+.f64 z 1)) |
(fma.f64 x z x) |
(*.f64 (+.f64 1 z) x) |
(*.f64 x (+.f64 z 1)) |
(fma.f64 x z x) |
(*.f64 (+.f64 1 z) x) |
(*.f64 x (+.f64 z 1)) |
(fma.f64 x z x) |
(*.f64 (+.f64 1 z) x) |
(*.f64 x (+.f64 z 1)) |
(fma.f64 x z x) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 z) 1) x)) |
(*.f64 x (+.f64 z 1)) |
(fma.f64 x z x) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 z) 1) x)) |
(*.f64 x (+.f64 z 1)) |
(fma.f64 x z x) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 z) 1) x)) |
(*.f64 x (+.f64 z 1)) |
(fma.f64 x z x) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 z) 1) x)) |
(*.f64 x (+.f64 z 1)) |
(fma.f64 x z x) |
Compiled 469 to 183 computations (61% saved)
8 alts after pruning (2 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 45 | 0 | 45 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 5 | 5 |
| Total | 45 | 8 | 53 |
| Status | Error | Program |
|---|---|---|
| ✓ | 52.9b | (*.f64 z x) |
| 41.8b | y | |
| 42.2b | x | |
| ✓ | 32.6b | (+.f64 (*.f64 z x) x) |
| ✓ | 30.4b | (*.f64 y (+.f64 1 z)) |
| ✓ | 51.7b | (*.f64 z y) |
| ✓ | 42.1b | (*.f64 (+.f64 y x) z) |
| ✓ | 21.2b | (+.f64 y x) |
Compiled 50 to 34 computations (32% saved)
Compiled 3 to 3 computations (0% saved)
8 alts after pruning (2 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 6 | 6 |
| Total | 0 | 8 | 8 |
| Status | Error | Program |
|---|---|---|
| ✓ | 52.9b | (*.f64 z x) |
| 41.8b | y | |
| 42.2b | x | |
| ✓ | 32.6b | (+.f64 (*.f64 z x) x) |
| ✓ | 30.4b | (*.f64 y (+.f64 1 z)) |
| ✓ | 51.7b | (*.f64 z y) |
| ✓ | 42.1b | (*.f64 (+.f64 y x) z) |
| ✓ | 21.2b | (+.f64 y x) |
Compiled 50 to 34 computations (32% saved)
| Inputs |
|---|
y |
x |
(*.f64 z x) |
(*.f64 z y) |
(+.f64 y x) |
(+.f64 (*.f64 z x) x) |
(*.f64 y (+.f64 1 z)) |
(*.f64 (+.f64 y x) z) |
(*.f64 (+.f64 1 z) x) |
(*.f64 (+.f64 x y) (+.f64 z 1)) |
(+.f64 (+.f64 x y) (*.f64 (+.f64 x y) z)) |
| Outputs |
|---|
(*.f64 (+.f64 x y) (+.f64 z 1)) |
6 calls:
| 15.0ms | (*.f64 (+.f64 x y) (+.f64 z 1)) |
| 15.0ms | (+.f64 x y) |
| 14.0ms | z |
| 13.0ms | y |
| 9.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | x |
| 0.0b | 1 | y |
| 0.0b | 1 | z |
| 0.0b | 1 | (*.f64 (+.f64 x y) (+.f64 z 1)) |
| 0.0b | 1 | (+.f64 x y) |
| 0.0b | 1 | (+.f64 z 1) |
Compiled 84 to 45 computations (46.4% saved)
| Inputs |
|---|
y |
x |
(*.f64 z x) |
(*.f64 z y) |
(+.f64 y x) |
(+.f64 (*.f64 z x) x) |
(*.f64 y (+.f64 1 z)) |
(*.f64 (+.f64 y x) z) |
(*.f64 (+.f64 1 z) x) |
| Outputs |
|---|
(*.f64 (+.f64 y x) z) |
(+.f64 y x) |
(*.f64 (+.f64 y x) z) |
3 calls:
| 29.0ms | y |
| 24.0ms | z |
| 13.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 10.2b | 2 | x |
| 8.5b | 5 | y |
| 1.5b | 3 | z |
Compiled 46 to 23 computations (50% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 0.01988196549529779 | 35.04186107993135 |
| 18.0ms | -432.59138076847006 | -1.8657094339579323e-7 |
Compiled 16 to 12 computations (25% saved)
| Inputs |
|---|
y |
x |
(*.f64 z x) |
(*.f64 z y) |
(+.f64 y x) |
(+.f64 (*.f64 z x) x) |
(*.f64 y (+.f64 1 z)) |
| Outputs |
|---|
(*.f64 y (+.f64 1 z)) |
(+.f64 y x) |
(+.f64 (*.f64 z x) x) |
(*.f64 z y) |
(*.f64 z x) |
3 calls:
| 29.0ms | z |
| 24.0ms | y |
| 10.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 10.2b | 2 | x |
| 8.5b | 5 | y |
| 6.2b | 5 | z |
Compiled 36 to 19 computations (47.2% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 6.8640057947715685e+205 | 8.586944633075084e+205 |
| 52.0ms | 2.984601023990298e+79 | 6.966192058473547e+90 |
| 17.0ms | 3.405839797386667e-18 | 3.9096858737504904e-18 |
| 17.0ms | -1.314172173799623e-12 | -2.0902412021159908e-15 |
Compiled 218 to 152 computations (30.3% saved)
| Inputs |
|---|
y |
x |
(*.f64 z x) |
(*.f64 z y) |
(+.f64 y x) |
(+.f64 (*.f64 z x) x) |
| Outputs |
|---|
(*.f64 z y) |
(+.f64 y x) |
(+.f64 (*.f64 z x) x) |
(*.f64 z y) |
(*.f64 z x) |
3 calls:
| 23.0ms | z |
| 18.0ms | x |
| 14.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 17.3b | 2 | x |
| 14.6b | 2 | y |
| 7.0b | 5 | z |
Compiled 31 to 16 computations (48.4% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 6.8640057947715685e+205 | 8.586944633075084e+205 |
| 55.0ms | 2.984601023990298e+79 | 6.966192058473547e+90 |
| 18.0ms | 3.405839797386667e-18 | 3.9096858737504904e-18 |
| 17.0ms | -432.59138076847006 | -1.8657094339579323e-7 |
Compiled 218 to 152 computations (30.3% saved)
| Inputs |
|---|
y |
x |
(*.f64 z x) |
(*.f64 z y) |
(+.f64 y x) |
| Outputs |
|---|
(*.f64 z y) |
(+.f64 y x) |
(*.f64 z x) |
(*.f64 z y) |
(*.f64 z x) |
3 calls:
| 29.0ms | z |
| 22.0ms | x |
| 5.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 18.9b | 5 | x |
| 21.2b | 1 | y |
| 7.4b | 5 | z |
Compiled 26 to 15 computations (42.3% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 6.8640057947715685e+205 | 8.586944633075084e+205 |
| 94.0ms | 2.984601023990298e+79 | 6.966192058473547e+90 |
| 17.0ms | 0.01988196549529779 | 35.04186107993135 |
| 17.0ms | -432.59138076847006 | -1.8657094339579323e-7 |
Compiled 198 to 142 computations (28.3% saved)
| Inputs |
|---|
y |
x |
(*.f64 z x) |
(*.f64 z y) |
| Outputs |
|---|
x |
(*.f64 z x) |
x |
(*.f64 z x) |
y |
3 calls:
| 45.0ms | y |
| 26.0ms | z |
| 19.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 23.5b | 5 | x |
| 27.5b | 4 | y |
| 23.5b | 6 | z |
Compiled 23 to 14 computations (39.1% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 17.0ms | -1.2052846523949152e-135 | -1.4615574195552125e-143 |
| 37.0ms | -1.1338017333462276e-97 | -8.409536950436539e-98 |
| 19.0ms | -4.943670218460067e-42 | -5.948069641087972e-43 |
| 17.0ms | -3.549533111978054e+39 | -1.2837896268008759e+36 |
Compiled 16 to 12 computations (25% saved)
Total -34.9b remaining (-128.4%)
Threshold costs -34.9b (-128.4%)
| Inputs |
|---|
y |
x |
| Outputs |
|---|
x |
y |
3 calls:
| 86.0ms | y |
| 9.0ms | z |
| 9.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 27.2b | 2 | x |
| 28.9b | 2 | y |
| 37.3b | 2 | z |
Compiled 17 to 12 computations (29.4% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 19.0ms | -1.2285066002698573e-103 | -2.8560268665454776e-115 |
Compiled 16 to 12 computations (25% saved)
| 1× | egg-herbie |
| 5× | *-commutative_binary64 |
| 3× | +-commutative_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 225 |
| 1 | 63 | 225 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (+.f64 x y) (+.f64 z 1)) |
(if (<=.f64 z -7610228051689727/17592186044416) (*.f64 (+.f64 y x) z) (if (<=.f64 z 366757529174082304/18446744073709551616) (+.f64 y x) (*.f64 (+.f64 y x) z))) |
(if (<=.f64 z -104119446557520576/79228162514264337593543950336) (*.f64 y (+.f64 1 z)) (if (<=.f64 z 4421032820160921/1298074214633706907132624082305024) (+.f64 y x) (if (<=.f64 z 29999999999999997375175667698580515513270028262599434757062208222319146317119488) (+.f64 (*.f64 z x) x) (if (<=.f64 z 84999999999999999741547359325173002097711344947569113761322253418600154380983007639809246384916837971483107423453625220585890665327391215930365048563517663166377742290244567441010648092550562034178441871360) (*.f64 z y) (*.f64 z x))))) |
(if (<=.f64 z -7610228051689727/17592186044416) (*.f64 z y) (if (<=.f64 z 4421032820160921/1298074214633706907132624082305024) (+.f64 y x) (if (<=.f64 z 29999999999999997375175667698580515513270028262599434757062208222319146317119488) (+.f64 (*.f64 z x) x) (if (<=.f64 z 84999999999999999741547359325173002097711344947569113761322253418600154380983007639809246384916837971483107423453625220585890665327391215930365048563517663166377742290244567441010648092550562034178441871360) (*.f64 z y) (*.f64 z x))))) |
(if (<=.f64 z -7610228051689727/17592186044416) (*.f64 z y) (if (<=.f64 z 366757529174082304/18446744073709551616) (+.f64 y x) (if (<=.f64 z 29999999999999997375175667698580515513270028262599434757062208222319146317119488) (*.f64 z x) (if (<=.f64 z 84999999999999999741547359325173002097711344947569113761322253418600154380983007639809246384916837971483107423453625220585890665327391215930365048563517663166377742290244567441010648092550562034178441871360) (*.f64 z y) (*.f64 z x))))) |
(if (<=.f64 x -3549533111978054263442650787219740033024) x (if (<=.f64 x -31031920907475136/6277101735386680763835789423207666416102355444464034512896) (*.f64 z x) (if (<=.f64 x -4467406292279086080/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816) x (if (<=.f64 x -16160225120218650624/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096) (*.f64 z x) y)))) |
(if (<=.f64 x -2478367983418595/20173827172553973356686868531273530268200826506478308693989526222973809547006571833044104322501076808092993531037089792) x y) |
y |
| Outputs |
|---|
(*.f64 (+.f64 x y) (+.f64 z 1)) |
(if (<=.f64 z -7610228051689727/17592186044416) (*.f64 (+.f64 y x) z) (if (<=.f64 z 366757529174082304/18446744073709551616) (+.f64 y x) (*.f64 (+.f64 y x) z))) |
(if (<=.f64 z -7610228051689727/17592186044416) (*.f64 z (+.f64 x y)) (if (<=.f64 z 1432646598336259/72057594037927936) (+.f64 x y) (*.f64 z (+.f64 x y)))) |
(if (<=.f64 z -104119446557520576/79228162514264337593543950336) (*.f64 y (+.f64 1 z)) (if (<=.f64 z 4421032820160921/1298074214633706907132624082305024) (+.f64 y x) (if (<=.f64 z 29999999999999997375175667698580515513270028262599434757062208222319146317119488) (+.f64 (*.f64 z x) x) (if (<=.f64 z 84999999999999999741547359325173002097711344947569113761322253418600154380983007639809246384916837971483107423453625220585890665327391215930365048563517663166377742290244567441010648092550562034178441871360) (*.f64 z y) (*.f64 z x))))) |
(if (<=.f64 z -1626866352461259/1237940039285380274899124224) (*.f64 y (+.f64 z 1)) (if (<=.f64 z 4421032820160921/1298074214633706907132624082305024) (+.f64 x y) (if (<=.f64 z 29999999999999997375175667698580515513270028262599434757062208222319146317119488) (+.f64 x (*.f64 x z)) (if (<=.f64 z 84999999999999999741547359325173002097711344947569113761322253418600154380983007639809246384916837971483107423453625220585890665327391215930365048563517663166377742290244567441010648092550562034178441871360) (*.f64 y z) (*.f64 x z))))) |
(if (<=.f64 z -7610228051689727/17592186044416) (*.f64 z y) (if (<=.f64 z 4421032820160921/1298074214633706907132624082305024) (+.f64 y x) (if (<=.f64 z 29999999999999997375175667698580515513270028262599434757062208222319146317119488) (+.f64 (*.f64 z x) x) (if (<=.f64 z 84999999999999999741547359325173002097711344947569113761322253418600154380983007639809246384916837971483107423453625220585890665327391215930365048563517663166377742290244567441010648092550562034178441871360) (*.f64 z y) (*.f64 z x))))) |
(if (<=.f64 z -7610228051689727/17592186044416) (*.f64 y z) (if (<=.f64 z 4421032820160921/1298074214633706907132624082305024) (+.f64 x y) (if (<=.f64 z 29999999999999997375175667698580515513270028262599434757062208222319146317119488) (+.f64 x (*.f64 x z)) (if (<=.f64 z 84999999999999999741547359325173002097711344947569113761322253418600154380983007639809246384916837971483107423453625220585890665327391215930365048563517663166377742290244567441010648092550562034178441871360) (*.f64 y z) (*.f64 x z))))) |
(if (<=.f64 z -7610228051689727/17592186044416) (*.f64 z y) (if (<=.f64 z 366757529174082304/18446744073709551616) (+.f64 y x) (if (<=.f64 z 29999999999999997375175667698580515513270028262599434757062208222319146317119488) (*.f64 z x) (if (<=.f64 z 84999999999999999741547359325173002097711344947569113761322253418600154380983007639809246384916837971483107423453625220585890665327391215930365048563517663166377742290244567441010648092550562034178441871360) (*.f64 z y) (*.f64 z x))))) |
(if (<=.f64 z -7610228051689727/17592186044416) (*.f64 y z) (if (<=.f64 z 1432646598336259/72057594037927936) (+.f64 x y) (if (<=.f64 z 29999999999999997375175667698580515513270028262599434757062208222319146317119488) (*.f64 x z) (if (<=.f64 z 84999999999999999741547359325173002097711344947569113761322253418600154380983007639809246384916837971483107423453625220585890665327391215930365048563517663166377742290244567441010648092550562034178441871360) (*.f64 y z) (*.f64 x z))))) |
(if (<=.f64 x -3549533111978054263442650787219740033024) x (if (<=.f64 x -31031920907475136/6277101735386680763835789423207666416102355444464034512896) (*.f64 z x) (if (<=.f64 x -4467406292279086080/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816) x (if (<=.f64 x -16160225120218650624/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096) (*.f64 z x) y)))) |
(if (<=.f64 x -3549533111978054263442650787219740033024) x (if (<=.f64 x -484873764179299/98079714615416886934934209737619787751599303819750539264) (*.f64 x z) (if (<=.f64 x -4362701457303795/38478521676166483605741250097796497856523182881313912761668255277583712667477744737709244389536050430475222646784) x (if (<=.f64 x -7890734921981763/6546781215792283740026379393655198304433284092086129578966582736192267592809349109766540184651808314301773368255120142018434513091770786106657055178752) (*.f64 x z) y)))) |
(if (<=.f64 x -2478367983418595/20173827172553973356686868531273530268200826506478308693989526222973809547006571833044104322501076808092993531037089792) x y) |
y |
Compiled 183 to 102 computations (44.3% saved)
(sort x y)
Compiled 182 to 85 computations (53.3% saved)
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