Time bar (total: 3.9s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.9% | 0.1% | 0 |
| 0% | 99.9% | 0.1% | 1 |
| 0% | 99.9% | 0.1% | 2 |
| 0% | 99.9% | 0.1% | 3 |
| 0% | 99.9% | 0.1% | 4 |
| 0% | 99.9% | 0.1% | 5 |
| 0% | 99.9% | 0.1% | 6 |
| 12.5% | 87.4% | 0.1% | 7 |
| 18.7% | 81.1% | 0.1% | 8 |
| 25% | 71.8% | 3.3% | 9 |
| 34.3% | 60.1% | 5.6% | 10 |
| 41.3% | 51.5% | 7.2% | 11 |
| 46.8% | 44.1% | 9.1% | 12 |
Compiled 13 to 9 computations (30.8% saved)
| 997.0ms | 8256× | body | 256 | valid |
| 569.0ms | 1234× | body | 256 | invalid |
| 2× | egg-herbie |
| 768× | fma-neg_binary64 |
| 441× | fma-def_binary64 |
| 175× | cancel-sign-sub-inv_binary64 |
| 127× | distribute-rgt-in_binary64 |
| 113× | sub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 44 |
| 1 | 43 | 44 |
| 2 | 87 | 44 |
| 3 | 151 | 44 |
| 4 | 337 | 36 |
| 5 | 680 | 32 |
| 6 | 1140 | 32 |
| 7 | 1863 | 32 |
| 8 | 2484 | 32 |
| 9 | 2782 | 32 |
| 10 | 2857 | 32 |
| 11 | 2858 | 32 |
| 12 | 2858 | 32 |
| 0 | 3 | 3 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
1 |
2 |
| Outputs |
|---|
0 |
1 |
2 |
| Inputs |
|---|
(+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z)) |
(+.f64 (*.f64 y x) (*.f64 (-.f64 1 y) z)) |
(+.f64 (*.f64 z y) (*.f64 (-.f64 1 z) x)) |
(+.f64 (*.f64 x z) (*.f64 (-.f64 1 x) y)) |
| Outputs |
|---|
(+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z)) |
(fma.f64 x y (*.f64 (-.f64 1 x) z)) |
(fma.f64 x (fma.f64 z -1 y) z) |
(fma.f64 x (-.f64 y z) z) |
(+.f64 (*.f64 y x) (*.f64 (-.f64 1 y) z)) |
(fma.f64 y x (*.f64 z (-.f64 1 y))) |
(fma.f64 x y (*.f64 z (-.f64 1 y))) |
(-.f64 (fma.f64 x y z) (*.f64 y z)) |
(fma.f64 y (fma.f64 z -1 x) z) |
(fma.f64 y (-.f64 x z) z) |
(+.f64 (*.f64 z y) (*.f64 (-.f64 1 z) x)) |
(fma.f64 z y (*.f64 x (-.f64 1 z))) |
(fma.f64 x (-.f64 1 z) (*.f64 y z)) |
(fma.f64 z (fma.f64 x -1 y) x) |
(fma.f64 z (-.f64 y x) x) |
(+.f64 (*.f64 x z) (*.f64 (-.f64 1 x) y)) |
(fma.f64 x z (*.f64 y (-.f64 1 x))) |
(fma.f64 x z (-.f64 y (*.f64 x y))) |
(fma.f64 x (fma.f64 y -1 z) y) |
(fma.f64 x (-.f64 z y) y) |
Compiled 15 to 11 computations (26.7% saved)
| 1× | egg-herbie |
| 346× | fma-def_binary64 |
| 246× | fma-neg_binary64 |
| 54× | cancel-sign-sub-inv_binary64 |
| 45× | distribute-rgt-in_binary64 |
| 41× | associate--r+_binary64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 11 |
| 1 | 17 | 11 |
| 2 | 30 | 11 |
| 3 | 57 | 11 |
| 4 | 126 | 9 |
| 5 | 218 | 8 |
| 6 | 346 | 8 |
| 7 | 557 | 8 |
| 8 | 960 | 8 |
| 9 | 1145 | 8 |
| 10 | 1205 | 8 |
| 11 | 1215 | 8 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z)) |
| Outputs |
|---|
(+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z)) |
(fma.f64 x y (*.f64 (-.f64 1 x) z)) |
(-.f64 (fma.f64 x y z) (*.f64 x z)) |
(fma.f64 x (fma.f64 z -1 y) z) |
(fma.f64 x (-.f64 y z) z) |
Compiled 18 to 10 computations (44.4% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 2 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.0b | (fma.f64 x (-.f64 y z) z) |
| ▶ | 0.0b | (+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z)) |
Compiled 21 to 13 computations (38.1% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z)) |
| ✓ | 0.0b | (*.f64 (-.f64 1 x) z) |
Compiled 27 to 14 computations (48.1% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | z | @ | -inf | (+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z)) |
| 1.0ms | z | @ | -inf | (*.f64 (-.f64 1 x) z) |
| 1.0ms | z | @ | 0 | (*.f64 (-.f64 1 x) z) |
| 1.0ms | x | @ | inf | (*.f64 (-.f64 1 x) z) |
| 1.0ms | z | @ | inf | (*.f64 (-.f64 1 x) z) |
| 1× | batch-egg-rewrite |
| 476× | log-prod_binary64 |
| 409× | prod-exp_binary64 |
| 382× | fma-def_binary64 |
| 353× | exp-prod_binary64 |
| 342× | pow-prod-down_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 18 |
| 1 | 192 | 18 |
| 2 | 2623 | 18 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (-.f64 1 x) z) |
(+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 z (*.f64 (neg.f64 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 z (*.f64 z (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 1 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) z)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) z))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 x) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) z) (fma.f64 x (+.f64 1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 x x)) z) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (-.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (-.f64 1 (*.f64 x x))) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1 x) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 (-.f64 1 x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 x) z) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1 x) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1 x) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 x) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1 x) z))) 2)) (cbrt.f64 (log.f64 (*.f64 (-.f64 1 x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1 x) z)))) (sqrt.f64 (log.f64 (*.f64 (-.f64 1 x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1 x) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 1 x)) z))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1 x) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1 x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1 x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 1 x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 x) z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1 x) z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 1 x) z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (-.f64 1 x) z))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 x) z)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 x) z)) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log1p.f64 (neg.f64 x)) 1) (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 (neg.f64 x)) (*.f64 (log.f64 z) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log1p.f64 (neg.f64 x)) 1) (*.f64 (log.f64 z) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 z) 1) (log1p.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 z) (*.f64 (log1p.f64 (neg.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 z) 1) (*.f64 (log1p.f64 (neg.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 z (*.f64 (neg.f64 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 z (*.f64 z (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z 1 (*.f64 (neg.f64 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z 1 (*.f64 z (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) 2) (*.f64 (neg.f64 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) 2) (*.f64 z (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z) (*.f64 (neg.f64 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z) (*.f64 z (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 (neg.f64 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 z (neg.f64 x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 x y) 2) (-.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z))) (/.f64 (pow.f64 (*.f64 (-.f64 1 x) z) 2) (-.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x y (*.f64 (-.f64 1 x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z))) (pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z))) 2) (cbrt.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z))) (sqrt.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 (-.f64 1 x) z) (-.f64 (*.f64 (-.f64 1 x) z) (*.f64 x y)) (pow.f64 (*.f64 x y) 2)) (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 (-.f64 1 x) z) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z)) (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (*.f64 (-.f64 1 x) z) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z)))) 2)) (cbrt.f64 (log.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z))))) (sqrt.f64 (log.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 x) z))) (pow.f64 (exp.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 x)) z) (+.f64 1 (expm1.f64 (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 x) z))) (+.f64 1 (expm1.f64 (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x y))) (pow.f64 (exp.f64 (-.f64 1 x)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 x) y) (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 x) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x y))) (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 x) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x y (*.f64 (-.f64 1 x) z))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (-.f64 1 x) z) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x y) (*.f64 (-.f64 1 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y (*.f64 (-.f64 1 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 x) z (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z (-.f64 1 x) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 1 x) z) 1 (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x (*.f64 (-.f64 1 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x y) 1 (*.f64 (-.f64 1 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 (-.f64 1 x) 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 1 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (-.f64 1 x)) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (-.f64 1 x) z)) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 x) z)) 2) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 x) z)) 2) (cbrt.f64 (*.f64 (-.f64 1 x) z)) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) y) (*.f64 (-.f64 1 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) x) (*.f64 (-.f64 1 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (*.f64 (cbrt.f64 (-.f64 1 x)) z) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 (-.f64 1 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (-.f64 1 x)) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (-.f64 1 x) z)) (sqrt.f64 (*.f64 (-.f64 1 x) z)) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 (-.f64 1 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 (-.f64 1 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (sqrt.f64 (-.f64 1 x)) z) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 (-.f64 1 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (-.f64 1 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (-.f64 1 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (-.f64 1 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 1 x) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 1 x) (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 1 x)) 2)) (cbrt.f64 (-.f64 1 x)) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)) (*.f64 x y)))))) |
| 1× | egg-herbie |
| 345× | fma-def_binary64 |
| 247× | fma-neg_binary64 |
| 51× | cancel-sign-sub-inv_binary64 |
| 47× | unsub-neg_binary64 |
| 38× | sub-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 477 |
| 1 | 58 | 424 |
| 2 | 125 | 424 |
| 3 | 251 | 424 |
| 4 | 523 | 424 |
| 5 | 883 | 424 |
| 6 | 1150 | 424 |
| 7 | 1219 | 424 |
| 8 | 1221 | 424 |
| 1× | saturated |
| Inputs |
|---|
z |
(+.f64 (*.f64 -1 (*.f64 z x)) z) |
(+.f64 (*.f64 -1 (*.f64 z x)) z) |
(+.f64 (*.f64 -1 (*.f64 z x)) z) |
(*.f64 -1 (*.f64 z x)) |
(+.f64 z (*.f64 -1 (*.f64 z x))) |
(+.f64 z (*.f64 -1 (*.f64 z x))) |
(+.f64 z (*.f64 -1 (*.f64 z x))) |
(*.f64 -1 (*.f64 z x)) |
(+.f64 z (*.f64 -1 (*.f64 z x))) |
(+.f64 z (*.f64 -1 (*.f64 z x))) |
(+.f64 z (*.f64 -1 (*.f64 z x))) |
(*.f64 z (-.f64 1 x)) |
(*.f64 z (-.f64 1 x)) |
(*.f64 z (-.f64 1 x)) |
(*.f64 z (-.f64 1 x)) |
(*.f64 z (-.f64 1 x)) |
(*.f64 z (-.f64 1 x)) |
(*.f64 z (-.f64 1 x)) |
(*.f64 z (-.f64 1 x)) |
(*.f64 z (-.f64 1 x)) |
(*.f64 z (-.f64 1 x)) |
(*.f64 z (-.f64 1 x)) |
(*.f64 z (-.f64 1 x)) |
z |
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) y) x) z) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) y) x) z) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) y) x) z) |
(*.f64 (+.f64 (*.f64 -1 z) y) x) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) y) x) z) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) y) x) z) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) y) x) z) |
(*.f64 -1 (*.f64 x (+.f64 z (*.f64 -1 y)))) |
(+.f64 (*.f64 -1 (*.f64 x (+.f64 z (*.f64 -1 y)))) z) |
(+.f64 (*.f64 -1 (*.f64 x (+.f64 z (*.f64 -1 y)))) z) |
(+.f64 (*.f64 -1 (*.f64 x (+.f64 z (*.f64 -1 y)))) z) |
(*.f64 z (-.f64 1 x)) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(*.f64 z (-.f64 1 x)) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(*.f64 z (-.f64 1 x)) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
| Outputs |
|---|
z |
(+.f64 (*.f64 -1 (*.f64 z x)) z) |
(fma.f64 -1 (*.f64 z x) z) |
(-.f64 z (*.f64 z x)) |
(fma.f64 x (neg.f64 z) z) |
(+.f64 (*.f64 -1 (*.f64 z x)) z) |
(fma.f64 -1 (*.f64 z x) z) |
(-.f64 z (*.f64 z x)) |
(fma.f64 x (neg.f64 z) z) |
(+.f64 (*.f64 -1 (*.f64 z x)) z) |
(fma.f64 -1 (*.f64 z x) z) |
(-.f64 z (*.f64 z x)) |
(fma.f64 x (neg.f64 z) z) |
(*.f64 -1 (*.f64 z x)) |
(*.f64 (neg.f64 z) x) |
(*.f64 x (neg.f64 z)) |
(+.f64 z (*.f64 -1 (*.f64 z x))) |
(fma.f64 -1 (*.f64 z x) z) |
(-.f64 z (*.f64 z x)) |
(fma.f64 x (neg.f64 z) z) |
(+.f64 z (*.f64 -1 (*.f64 z x))) |
(fma.f64 -1 (*.f64 z x) z) |
(-.f64 z (*.f64 z x)) |
(fma.f64 x (neg.f64 z) z) |
(+.f64 z (*.f64 -1 (*.f64 z x))) |
(fma.f64 -1 (*.f64 z x) z) |
(-.f64 z (*.f64 z x)) |
(fma.f64 x (neg.f64 z) z) |
(*.f64 -1 (*.f64 z x)) |
(*.f64 (neg.f64 z) x) |
(*.f64 x (neg.f64 z)) |
(+.f64 z (*.f64 -1 (*.f64 z x))) |
(fma.f64 -1 (*.f64 z x) z) |
(-.f64 z (*.f64 z x)) |
(fma.f64 x (neg.f64 z) z) |
(+.f64 z (*.f64 -1 (*.f64 z x))) |
(fma.f64 -1 (*.f64 z x) z) |
(-.f64 z (*.f64 z x)) |
(fma.f64 x (neg.f64 z) z) |
(+.f64 z (*.f64 -1 (*.f64 z x))) |
(fma.f64 -1 (*.f64 z x) z) |
(-.f64 z (*.f64 z x)) |
(fma.f64 x (neg.f64 z) z) |
(*.f64 z (-.f64 1 x)) |
(fma.f64 -1 (*.f64 z x) z) |
(-.f64 z (*.f64 z x)) |
(fma.f64 x (neg.f64 z) z) |
(*.f64 z (-.f64 1 x)) |
(fma.f64 -1 (*.f64 z x) z) |
(-.f64 z (*.f64 z x)) |
(fma.f64 x (neg.f64 z) z) |
(*.f64 z (-.f64 1 x)) |
(fma.f64 -1 (*.f64 z x) z) |
(-.f64 z (*.f64 z x)) |
(fma.f64 x (neg.f64 z) z) |
(*.f64 z (-.f64 1 x)) |
(fma.f64 -1 (*.f64 z x) z) |
(-.f64 z (*.f64 z x)) |
(fma.f64 x (neg.f64 z) z) |
(*.f64 z (-.f64 1 x)) |
(fma.f64 -1 (*.f64 z x) z) |
(-.f64 z (*.f64 z x)) |
(fma.f64 x (neg.f64 z) z) |
(*.f64 z (-.f64 1 x)) |
(fma.f64 -1 (*.f64 z x) z) |
(-.f64 z (*.f64 z x)) |
(fma.f64 x (neg.f64 z) z) |
(*.f64 z (-.f64 1 x)) |
(fma.f64 -1 (*.f64 z x) z) |
(-.f64 z (*.f64 z x)) |
(fma.f64 x (neg.f64 z) z) |
(*.f64 z (-.f64 1 x)) |
(fma.f64 -1 (*.f64 z x) z) |
(-.f64 z (*.f64 z x)) |
(fma.f64 x (neg.f64 z) z) |
(*.f64 z (-.f64 1 x)) |
(fma.f64 -1 (*.f64 z x) z) |
(-.f64 z (*.f64 z x)) |
(fma.f64 x (neg.f64 z) z) |
(*.f64 z (-.f64 1 x)) |
(fma.f64 -1 (*.f64 z x) z) |
(-.f64 z (*.f64 z x)) |
(fma.f64 x (neg.f64 z) z) |
(*.f64 z (-.f64 1 x)) |
(fma.f64 -1 (*.f64 z x) z) |
(-.f64 z (*.f64 z x)) |
(fma.f64 x (neg.f64 z) z) |
(*.f64 z (-.f64 1 x)) |
(fma.f64 -1 (*.f64 z x) z) |
(-.f64 z (*.f64 z x)) |
(fma.f64 x (neg.f64 z) z) |
z |
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) y) x) z) |
(fma.f64 (fma.f64 -1 z y) x z) |
(fma.f64 x (-.f64 y z) z) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) y) x) z) |
(fma.f64 (fma.f64 -1 z y) x z) |
(fma.f64 x (-.f64 y z) z) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) y) x) z) |
(fma.f64 (fma.f64 -1 z y) x z) |
(fma.f64 x (-.f64 y z) z) |
(*.f64 (+.f64 (*.f64 -1 z) y) x) |
(*.f64 x (fma.f64 -1 z y)) |
(*.f64 x (-.f64 y z)) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) y) x) z) |
(fma.f64 (fma.f64 -1 z y) x z) |
(fma.f64 x (-.f64 y z) z) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) y) x) z) |
(fma.f64 (fma.f64 -1 z y) x z) |
(fma.f64 x (-.f64 y z) z) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) y) x) z) |
(fma.f64 (fma.f64 -1 z y) x z) |
(fma.f64 x (-.f64 y z) z) |
(*.f64 -1 (*.f64 x (+.f64 z (*.f64 -1 y)))) |
(*.f64 x (fma.f64 -1 z y)) |
(*.f64 x (-.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 x (+.f64 z (*.f64 -1 y)))) z) |
(fma.f64 (fma.f64 -1 z y) x z) |
(fma.f64 x (-.f64 y z) z) |
(+.f64 (*.f64 -1 (*.f64 x (+.f64 z (*.f64 -1 y)))) z) |
(fma.f64 (fma.f64 -1 z y) x z) |
(fma.f64 x (-.f64 y z) z) |
(+.f64 (*.f64 -1 (*.f64 x (+.f64 z (*.f64 -1 y)))) z) |
(fma.f64 (fma.f64 -1 z y) x z) |
(fma.f64 x (-.f64 y z) z) |
(*.f64 z (-.f64 1 x)) |
(fma.f64 -1 (*.f64 z x) z) |
(-.f64 z (*.f64 z x)) |
(fma.f64 x (neg.f64 z) z) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(fma.f64 (fma.f64 -1 z y) x z) |
(fma.f64 x (-.f64 y z) z) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(fma.f64 (fma.f64 -1 z y) x z) |
(fma.f64 x (-.f64 y z) z) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(fma.f64 (fma.f64 -1 z y) x z) |
(fma.f64 x (-.f64 y z) z) |
(*.f64 y x) |
(*.f64 x y) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(fma.f64 (fma.f64 -1 z y) x z) |
(fma.f64 x (-.f64 y z) z) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(fma.f64 (fma.f64 -1 z y) x z) |
(fma.f64 x (-.f64 y z) z) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(fma.f64 (fma.f64 -1 z y) x z) |
(fma.f64 x (-.f64 y z) z) |
(*.f64 y x) |
(*.f64 x y) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(fma.f64 (fma.f64 -1 z y) x z) |
(fma.f64 x (-.f64 y z) z) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(fma.f64 (fma.f64 -1 z y) x z) |
(fma.f64 x (-.f64 y z) z) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(fma.f64 (fma.f64 -1 z y) x z) |
(fma.f64 x (-.f64 y z) z) |
(*.f64 y x) |
(*.f64 x y) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(fma.f64 (fma.f64 -1 z y) x z) |
(fma.f64 x (-.f64 y z) z) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(fma.f64 (fma.f64 -1 z y) x z) |
(fma.f64 x (-.f64 y z) z) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(fma.f64 (fma.f64 -1 z y) x z) |
(fma.f64 x (-.f64 y z) z) |
(*.f64 z (-.f64 1 x)) |
(fma.f64 -1 (*.f64 z x) z) |
(-.f64 z (*.f64 z x)) |
(fma.f64 x (neg.f64 z) z) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(fma.f64 (fma.f64 -1 z y) x z) |
(fma.f64 x (-.f64 y z) z) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(fma.f64 (fma.f64 -1 z y) x z) |
(fma.f64 x (-.f64 y z) z) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(fma.f64 (fma.f64 -1 z y) x z) |
(fma.f64 x (-.f64 y z) z) |
(*.f64 z (-.f64 1 x)) |
(fma.f64 -1 (*.f64 z x) z) |
(-.f64 z (*.f64 z x)) |
(fma.f64 x (neg.f64 z) z) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(fma.f64 (fma.f64 -1 z y) x z) |
(fma.f64 x (-.f64 y z) z) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(fma.f64 (fma.f64 -1 z y) x z) |
(fma.f64 x (-.f64 y z) z) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(fma.f64 (fma.f64 -1 z y) x z) |
(fma.f64 x (-.f64 y z) z) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (fma.f64 x (-.f64 y z) z) |
Compiled 15 to 5 computations (66.7% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (fma.f64 x (-.f64 y z) z) |
| 0.0ms | x | @ | -inf | (fma.f64 x (-.f64 y z) z) |
| 0.0ms | z | @ | -inf | (fma.f64 x (-.f64 y z) z) |
| 0.0ms | y | @ | inf | (fma.f64 x (-.f64 y z) z) |
| 0.0ms | y | @ | -inf | (fma.f64 x (-.f64 y z) z) |
| 1× | batch-egg-rewrite |
| 740× | pow1_binary64 |
| 686× | add-log-exp_binary64 |
| 686× | log1p-expm1-u_binary64 |
| 686× | expm1-log1p-u_binary64 |
| 670× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 8 |
| 1 | 130 | 8 |
| 2 | 1797 | 8 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 x (-.f64 y z) z) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 z (*.f64 x (-.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (-.f64 y z)) z)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (-.f64 y z)) 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x (-.f64 y z) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (-.f64 y z) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (-.f64 y z) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (-.f64 y z) z)) (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 y z) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 y z) z)) 2) (cbrt.f64 (fma.f64 x (-.f64 y z) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (-.f64 y z) z)) (sqrt.f64 (fma.f64 x (-.f64 y z) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 y z)) 3) (pow.f64 z 3)) (+.f64 (*.f64 (*.f64 x (-.f64 y z)) (*.f64 x (-.f64 y z))) (-.f64 (*.f64 z z) (*.f64 (*.f64 x (-.f64 y z)) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (-.f64 y z)) (*.f64 x (-.f64 y z))) (*.f64 z z)) (-.f64 (*.f64 x (-.f64 y z)) z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (-.f64 y z) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (-.f64 y z) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (-.f64 y z) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (-.f64 y z) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (-.f64 y z) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (-.f64 y z) z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (-.f64 y z) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (-.f64 y z) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (-.f64 y z) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (-.f64 y z) z))))))) |
| 1× | egg-herbie |
| 400× | fma-def_binary64 |
| 300× | fma-neg_binary64 |
| 64× | cancel-sign-sub-inv_binary64 |
| 59× | distribute-rgt-in_binary64 |
| 43× | unsub-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 267 |
| 1 | 56 | 264 |
| 2 | 109 | 264 |
| 3 | 188 | 264 |
| 4 | 348 | 264 |
| 5 | 648 | 264 |
| 6 | 1031 | 264 |
| 7 | 1270 | 264 |
| 8 | 1389 | 264 |
| 9 | 1391 | 264 |
| 1× | saturated |
| Inputs |
|---|
z |
(+.f64 (*.f64 (-.f64 y z) x) z) |
(+.f64 (*.f64 (-.f64 y z) x) z) |
(+.f64 (*.f64 (-.f64 y z) x) z) |
(*.f64 (-.f64 y z) x) |
(+.f64 (*.f64 (-.f64 y z) x) z) |
(+.f64 (*.f64 (-.f64 y z) x) z) |
(+.f64 (*.f64 (-.f64 y z) x) z) |
(*.f64 (-.f64 y z) x) |
(+.f64 (*.f64 (-.f64 y z) x) z) |
(+.f64 (*.f64 (-.f64 y z) x) z) |
(+.f64 (*.f64 (-.f64 y z) x) z) |
(+.f64 (*.f64 -1 (*.f64 z x)) z) |
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1 (*.f64 z x)))) |
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1 (*.f64 z x)))) |
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1 (*.f64 z x)))) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1 (*.f64 z x)))) |
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1 (*.f64 z x)))) |
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1 (*.f64 z x)))) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1 (*.f64 z x)))) |
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1 (*.f64 z x)))) |
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1 (*.f64 z x)))) |
(*.f64 y x) |
(+.f64 (*.f64 (+.f64 1 (*.f64 -1 x)) z) (*.f64 y x)) |
(+.f64 (*.f64 (+.f64 1 (*.f64 -1 x)) z) (*.f64 y x)) |
(+.f64 (*.f64 (+.f64 1 (*.f64 -1 x)) z) (*.f64 y x)) |
(*.f64 (+.f64 1 (*.f64 -1 x)) z) |
(+.f64 (*.f64 (+.f64 1 (*.f64 -1 x)) z) (*.f64 y x)) |
(+.f64 (*.f64 (+.f64 1 (*.f64 -1 x)) z) (*.f64 y x)) |
(+.f64 (*.f64 (+.f64 1 (*.f64 -1 x)) z) (*.f64 y x)) |
(*.f64 -1 (*.f64 (-.f64 x 1) z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 (-.f64 x 1) z))) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 (-.f64 x 1) z))) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 (-.f64 x 1) z))) |
| Outputs |
|---|
z |
(+.f64 (*.f64 (-.f64 y z) x) z) |
(fma.f64 (-.f64 y z) x z) |
(+.f64 (*.f64 (-.f64 y z) x) z) |
(fma.f64 (-.f64 y z) x z) |
(+.f64 (*.f64 (-.f64 y z) x) z) |
(fma.f64 (-.f64 y z) x z) |
(*.f64 (-.f64 y z) x) |
(+.f64 (*.f64 (-.f64 y z) x) z) |
(fma.f64 (-.f64 y z) x z) |
(+.f64 (*.f64 (-.f64 y z) x) z) |
(fma.f64 (-.f64 y z) x z) |
(+.f64 (*.f64 (-.f64 y z) x) z) |
(fma.f64 (-.f64 y z) x z) |
(*.f64 (-.f64 y z) x) |
(+.f64 (*.f64 (-.f64 y z) x) z) |
(fma.f64 (-.f64 y z) x z) |
(+.f64 (*.f64 (-.f64 y z) x) z) |
(fma.f64 (-.f64 y z) x z) |
(+.f64 (*.f64 (-.f64 y z) x) z) |
(fma.f64 (-.f64 y z) x z) |
(+.f64 (*.f64 -1 (*.f64 z x)) z) |
(fma.f64 -1 (*.f64 z x) z) |
(-.f64 z (*.f64 z x)) |
(fma.f64 x (neg.f64 z) z) |
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1 (*.f64 z x)))) |
(fma.f64 (-.f64 y z) x z) |
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1 (*.f64 z x)))) |
(fma.f64 (-.f64 y z) x z) |
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1 (*.f64 z x)))) |
(fma.f64 (-.f64 y z) x z) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1 (*.f64 z x)))) |
(fma.f64 (-.f64 y z) x z) |
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1 (*.f64 z x)))) |
(fma.f64 (-.f64 y z) x z) |
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1 (*.f64 z x)))) |
(fma.f64 (-.f64 y z) x z) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1 (*.f64 z x)))) |
(fma.f64 (-.f64 y z) x z) |
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1 (*.f64 z x)))) |
(fma.f64 (-.f64 y z) x z) |
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1 (*.f64 z x)))) |
(fma.f64 (-.f64 y z) x z) |
(*.f64 y x) |
(+.f64 (*.f64 (+.f64 1 (*.f64 -1 x)) z) (*.f64 y x)) |
(fma.f64 (-.f64 y z) x z) |
(+.f64 (*.f64 (+.f64 1 (*.f64 -1 x)) z) (*.f64 y x)) |
(fma.f64 (-.f64 y z) x z) |
(+.f64 (*.f64 (+.f64 1 (*.f64 -1 x)) z) (*.f64 y x)) |
(fma.f64 (-.f64 y z) x z) |
(*.f64 (+.f64 1 (*.f64 -1 x)) z) |
(fma.f64 -1 (*.f64 z x) z) |
(-.f64 z (*.f64 z x)) |
(fma.f64 x (neg.f64 z) z) |
(+.f64 (*.f64 (+.f64 1 (*.f64 -1 x)) z) (*.f64 y x)) |
(fma.f64 (-.f64 y z) x z) |
(+.f64 (*.f64 (+.f64 1 (*.f64 -1 x)) z) (*.f64 y x)) |
(fma.f64 (-.f64 y z) x z) |
(+.f64 (*.f64 (+.f64 1 (*.f64 -1 x)) z) (*.f64 y x)) |
(fma.f64 (-.f64 y z) x z) |
(*.f64 -1 (*.f64 (-.f64 x 1) z)) |
(fma.f64 -1 (*.f64 z x) z) |
(-.f64 z (*.f64 z x)) |
(fma.f64 x (neg.f64 z) z) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 (-.f64 x 1) z))) |
(fma.f64 (-.f64 y z) x z) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 (-.f64 x 1) z))) |
(fma.f64 (-.f64 y z) x z) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 (-.f64 x 1) z))) |
(fma.f64 (-.f64 y z) x z) |
Compiled 2312 to 1176 computations (49.1% saved)
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 164 | 7 | 171 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 0 | 1 |
| Total | 165 | 8 | 173 |
| Status | Error | Program |
|---|---|---|
| ▶ | 20.0b | (*.f64 (+.f64 1 (*.f64 -1 x)) z) |
| ✓ | 0.0b | (fma.f64 x (-.f64 y z) z) |
| 31.9b | (+.f64 (*.f64 x y) (*.f64 x (neg.f64 z))) | |
| ▶ | 43.2b | (*.f64 y x) |
| ▶ | 12.4b | (+.f64 (*.f64 x y) z) |
| ▶ | 31.9b | (*.f64 (-.f64 y z) x) |
| ▶ | 0.0b | (+.f64 (*.f64 (-.f64 y z) x) z) |
| 31.6b | z |
Compiled 119 to 78 computations (34.5% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (-.f64 y z) x) |
| ✓ | 0.0b | (+.f64 (*.f64 (-.f64 y z) x) z) |
Compiled 21 to 6 computations (71.4% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (*.f64 (-.f64 y z) x) |
| 1.0ms | x | @ | inf | (+.f64 (*.f64 (-.f64 y z) x) z) |
| 1.0ms | x | @ | -inf | (+.f64 (*.f64 (-.f64 y z) x) z) |
| 1.0ms | y | @ | -inf | (+.f64 (*.f64 (-.f64 y z) x) z) |
| 0.0ms | y | @ | 0 | (+.f64 (*.f64 (-.f64 y z) x) z) |
| 1× | batch-egg-rewrite |
| 951× | pow1_binary64 |
| 883× | add-log-exp_binary64 |
| 883× | log1p-expm1-u_binary64 |
| 883× | expm1-log1p-u_binary64 |
| 864× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 15 |
| 1 | 159 | 15 |
| 2 | 2348 | 15 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 (-.f64 y z) x) z) |
(*.f64 (-.f64 y z) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 (-.f64 y z) x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 (-.f64 y z) x) 2) (-.f64 (*.f64 (-.f64 y z) x) z)) (/.f64 (*.f64 z z) (-.f64 (*.f64 (-.f64 y z) x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (-.f64 y z) x z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (-.f64 y z) x z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (-.f64 y z) x z)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y z) x z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y z) x z)) 2) (cbrt.f64 (fma.f64 (-.f64 y z) x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (-.f64 y z) x z)) (sqrt.f64 (fma.f64 (-.f64 y z) x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 z 3) (pow.f64 (*.f64 (-.f64 y z) x) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (-.f64 y z) x) 2) (*.f64 z (-.f64 z (*.f64 (-.f64 y z) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) 2) (*.f64 z z)) (/.f64 1 (-.f64 (*.f64 (-.f64 y z) x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y z) x) 2) (*.f64 z (-.f64 z (*.f64 (-.f64 y z) x)))) (+.f64 (pow.f64 z 3) (pow.f64 (*.f64 (-.f64 y z) x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 (-.f64 y z) x) z) (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) 2) (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 z 3) (pow.f64 (*.f64 (-.f64 y z) x) 3)) (+.f64 (pow.f64 (*.f64 (-.f64 y z) x) 2) (*.f64 z (-.f64 z (*.f64 (-.f64 y z) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 z 3) (pow.f64 (*.f64 (-.f64 y z) x) 3)) (+.f64 (*.f64 z z) (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) 2) (*.f64 z (*.f64 (-.f64 y z) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) 2) (*.f64 z z)) (-.f64 (*.f64 (-.f64 y z) x) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 z 3) (pow.f64 (*.f64 (-.f64 y z) x) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y z) x) 2) (*.f64 z (-.f64 z (*.f64 (-.f64 y z) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) 2) (*.f64 z z))) (neg.f64 (-.f64 (*.f64 (-.f64 y z) x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 (-.f64 y z) x) 2)) (-.f64 z (*.f64 (-.f64 y z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (-.f64 y z) x z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (-.f64 y z) x z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (-.f64 y z) x z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (-.f64 y z) x z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (-.f64 y z) x z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (-.f64 y z) x z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (-.f64 y z) x z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (-.f64 y z) x z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (-.f64 y z) x z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (-.f64 y z) x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 y z) x z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (-.f64 y z) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 z (*.f64 (-.f64 y z) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (-.f64 y z) x) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 y z) x)) 2) (cbrt.f64 (*.f64 (-.f64 y z) x)) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z) (*.f64 (-.f64 y z) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (-.f64 y z) x)) (sqrt.f64 (*.f64 (-.f64 y z) x)) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 (-.f64 y z) x)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (*.f64 (neg.f64 z) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) (*.f64 x (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (-.f64 y z) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 y 3) (pow.f64 z 3)) x) (fma.f64 y y (*.f64 z (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 y y) (*.f64 z z)) x) (+.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 (pow.f64 y 3) (pow.f64 z 3))) (fma.f64 y y (*.f64 z (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 (*.f64 y y) (*.f64 z z))) (+.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 y z) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 y z) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 y z) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 y z) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 y z) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (-.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 y z) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 y z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 y z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 y z) x))))))) |
| 1× | egg-herbie |
| 393× | fma-def_binary64 |
| 296× | fma-neg_binary64 |
| 64× | cancel-sign-sub-inv_binary64 |
| 58× | distribute-rgt-in_binary64 |
| 43× | unsub-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 423 |
| 1 | 60 | 384 |
| 2 | 116 | 348 |
| 3 | 191 | 348 |
| 4 | 351 | 348 |
| 5 | 658 | 348 |
| 6 | 1035 | 348 |
| 7 | 1274 | 348 |
| 8 | 1393 | 348 |
| 9 | 1395 | 348 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (*.f64 -1 (*.f64 z x)) z) |
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1 (*.f64 z x)))) |
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1 (*.f64 z x)))) |
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1 (*.f64 z x)))) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1 (*.f64 z x)))) |
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1 (*.f64 z x)))) |
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1 (*.f64 z x)))) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (+.f64 (*.f64 -1 (*.f64 z x)) z)) |
(+.f64 (*.f64 y x) (+.f64 (*.f64 -1 (*.f64 z x)) z)) |
(+.f64 (*.f64 y x) (+.f64 (*.f64 -1 (*.f64 z x)) z)) |
(*.f64 y x) |
(+.f64 (*.f64 (+.f64 1 (*.f64 -1 x)) z) (*.f64 y x)) |
(+.f64 (*.f64 (+.f64 1 (*.f64 -1 x)) z) (*.f64 y x)) |
(+.f64 (*.f64 (+.f64 1 (*.f64 -1 x)) z) (*.f64 y x)) |
(*.f64 (+.f64 1 (*.f64 -1 x)) z) |
(+.f64 (*.f64 (+.f64 1 (*.f64 -1 x)) z) (*.f64 y x)) |
(+.f64 (*.f64 (+.f64 1 (*.f64 -1 x)) z) (*.f64 y x)) |
(+.f64 (*.f64 (+.f64 1 (*.f64 -1 x)) z) (*.f64 y x)) |
(*.f64 -1 (*.f64 (-.f64 x 1) z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 (-.f64 x 1) z))) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 (-.f64 x 1) z))) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 (-.f64 x 1) z))) |
z |
(*.f64 (-.f64 y z) x) |
(*.f64 (-.f64 y z) x) |
(*.f64 -1 (*.f64 z x)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(*.f64 -1 (*.f64 z x)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(*.f64 -1 (*.f64 z x)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
| Outputs |
|---|
(+.f64 (*.f64 -1 (*.f64 z x)) z) |
(fma.f64 -1 (*.f64 z x) z) |
(-.f64 z (*.f64 z x)) |
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1 (*.f64 z x)))) |
(fma.f64 y x (fma.f64 -1 (*.f64 z x) z)) |
(+.f64 z (*.f64 x (-.f64 y z))) |
(fma.f64 x (-.f64 y z) z) |
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1 (*.f64 z x)))) |
(fma.f64 y x (fma.f64 -1 (*.f64 z x) z)) |
(+.f64 z (*.f64 x (-.f64 y z))) |
(fma.f64 x (-.f64 y z) z) |
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1 (*.f64 z x)))) |
(fma.f64 y x (fma.f64 -1 (*.f64 z x) z)) |
(+.f64 z (*.f64 x (-.f64 y z))) |
(fma.f64 x (-.f64 y z) z) |
(*.f64 y x) |
(*.f64 x y) |
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1 (*.f64 z x)))) |
(fma.f64 y x (fma.f64 -1 (*.f64 z x) z)) |
(+.f64 z (*.f64 x (-.f64 y z))) |
(fma.f64 x (-.f64 y z) z) |
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1 (*.f64 z x)))) |
(fma.f64 y x (fma.f64 -1 (*.f64 z x) z)) |
(+.f64 z (*.f64 x (-.f64 y z))) |
(fma.f64 x (-.f64 y z) z) |
(+.f64 (*.f64 y x) (+.f64 z (*.f64 -1 (*.f64 z x)))) |
(fma.f64 y x (fma.f64 -1 (*.f64 z x) z)) |
(+.f64 z (*.f64 x (-.f64 y z))) |
(fma.f64 x (-.f64 y z) z) |
(*.f64 y x) |
(*.f64 x y) |
(+.f64 (*.f64 y x) (+.f64 (*.f64 -1 (*.f64 z x)) z)) |
(fma.f64 y x (fma.f64 -1 (*.f64 z x) z)) |
(+.f64 z (*.f64 x (-.f64 y z))) |
(fma.f64 x (-.f64 y z) z) |
(+.f64 (*.f64 y x) (+.f64 (*.f64 -1 (*.f64 z x)) z)) |
(fma.f64 y x (fma.f64 -1 (*.f64 z x) z)) |
(+.f64 z (*.f64 x (-.f64 y z))) |
(fma.f64 x (-.f64 y z) z) |
(+.f64 (*.f64 y x) (+.f64 (*.f64 -1 (*.f64 z x)) z)) |
(fma.f64 y x (fma.f64 -1 (*.f64 z x) z)) |
(+.f64 z (*.f64 x (-.f64 y z))) |
(fma.f64 x (-.f64 y z) z) |
(*.f64 y x) |
(*.f64 x y) |
(+.f64 (*.f64 (+.f64 1 (*.f64 -1 x)) z) (*.f64 y x)) |
(fma.f64 y x (fma.f64 -1 (*.f64 z x) z)) |
(+.f64 z (*.f64 x (-.f64 y z))) |
(fma.f64 x (-.f64 y z) z) |
(+.f64 (*.f64 (+.f64 1 (*.f64 -1 x)) z) (*.f64 y x)) |
(fma.f64 y x (fma.f64 -1 (*.f64 z x) z)) |
(+.f64 z (*.f64 x (-.f64 y z))) |
(fma.f64 x (-.f64 y z) z) |
(+.f64 (*.f64 (+.f64 1 (*.f64 -1 x)) z) (*.f64 y x)) |
(fma.f64 y x (fma.f64 -1 (*.f64 z x) z)) |
(+.f64 z (*.f64 x (-.f64 y z))) |
(fma.f64 x (-.f64 y z) z) |
(*.f64 (+.f64 1 (*.f64 -1 x)) z) |
(fma.f64 -1 (*.f64 z x) z) |
(-.f64 z (*.f64 z x)) |
(+.f64 (*.f64 (+.f64 1 (*.f64 -1 x)) z) (*.f64 y x)) |
(fma.f64 y x (fma.f64 -1 (*.f64 z x) z)) |
(+.f64 z (*.f64 x (-.f64 y z))) |
(fma.f64 x (-.f64 y z) z) |
(+.f64 (*.f64 (+.f64 1 (*.f64 -1 x)) z) (*.f64 y x)) |
(fma.f64 y x (fma.f64 -1 (*.f64 z x) z)) |
(+.f64 z (*.f64 x (-.f64 y z))) |
(fma.f64 x (-.f64 y z) z) |
(+.f64 (*.f64 (+.f64 1 (*.f64 -1 x)) z) (*.f64 y x)) |
(fma.f64 y x (fma.f64 -1 (*.f64 z x) z)) |
(+.f64 z (*.f64 x (-.f64 y z))) |
(fma.f64 x (-.f64 y z) z) |
(*.f64 -1 (*.f64 (-.f64 x 1) z)) |
(fma.f64 -1 (*.f64 z x) z) |
(-.f64 z (*.f64 z x)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 (-.f64 x 1) z))) |
(fma.f64 y x (fma.f64 -1 (*.f64 z x) z)) |
(+.f64 z (*.f64 x (-.f64 y z))) |
(fma.f64 x (-.f64 y z) z) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 (-.f64 x 1) z))) |
(fma.f64 y x (fma.f64 -1 (*.f64 z x) z)) |
(+.f64 z (*.f64 x (-.f64 y z))) |
(fma.f64 x (-.f64 y z) z) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 (-.f64 x 1) z))) |
(fma.f64 y x (fma.f64 -1 (*.f64 z x) z)) |
(+.f64 z (*.f64 x (-.f64 y z))) |
(fma.f64 x (-.f64 y z) z) |
z |
(*.f64 (-.f64 y z) x) |
(*.f64 x (-.f64 y z)) |
(*.f64 (-.f64 y z) x) |
(*.f64 x (-.f64 y z)) |
(*.f64 -1 (*.f64 z x)) |
(neg.f64 (*.f64 z x)) |
(*.f64 z (neg.f64 x)) |
(*.f64 x (neg.f64 z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(*.f64 x (-.f64 y z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(*.f64 x (-.f64 y z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(*.f64 x (-.f64 y z)) |
(*.f64 y x) |
(*.f64 x y) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(*.f64 x (-.f64 y z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(*.f64 x (-.f64 y z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(*.f64 x (-.f64 y z)) |
(*.f64 y x) |
(*.f64 x y) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(*.f64 x (-.f64 y z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(*.f64 x (-.f64 y z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(*.f64 x (-.f64 y z)) |
(*.f64 y x) |
(*.f64 x y) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(*.f64 x (-.f64 y z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(*.f64 x (-.f64 y z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(*.f64 x (-.f64 y z)) |
(*.f64 -1 (*.f64 z x)) |
(neg.f64 (*.f64 z x)) |
(*.f64 z (neg.f64 x)) |
(*.f64 x (neg.f64 z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(*.f64 x (-.f64 y z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(*.f64 x (-.f64 y z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(*.f64 x (-.f64 y z)) |
(*.f64 -1 (*.f64 z x)) |
(neg.f64 (*.f64 z x)) |
(*.f64 z (neg.f64 x)) |
(*.f64 x (neg.f64 z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(*.f64 x (-.f64 y z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(*.f64 x (-.f64 y z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(*.f64 x (-.f64 y z)) |
Compiled 8 to 4 computations (50% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (*.f64 (-.f64 y z) x) |
Compiled 14 to 5 computations (64.3% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 x y) z) |
Compiled 14 to 5 computations (64.3% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (+.f64 (*.f64 x y) z) |
| 0.0ms | x | @ | -inf | (+.f64 (*.f64 x y) z) |
| 0.0ms | x | @ | inf | (+.f64 (*.f64 x y) z) |
| 0.0ms | z | @ | -inf | (+.f64 (*.f64 x y) z) |
| 0.0ms | y | @ | inf | (+.f64 (*.f64 x y) z) |
| 1× | batch-egg-rewrite |
| 707× | pow1_binary64 |
| 655× | add-log-exp_binary64 |
| 655× | log1p-expm1-u_binary64 |
| 655× | expm1-log1p-u_binary64 |
| 640× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 5 |
| 1 | 129 | 5 |
| 2 | 1775 | 5 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 x y) z) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 x y) 2) (-.f64 (*.f64 x y) z)) (/.f64 (*.f64 z z) (-.f64 (*.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x y z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x y z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x y z)) (pow.f64 (cbrt.f64 (fma.f64 x y z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x y z)) 2) (cbrt.f64 (fma.f64 x y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x y z)) (sqrt.f64 (fma.f64 x y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 z 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 z (-.f64 z (*.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 z z)) (/.f64 1 (-.f64 (*.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 z (-.f64 z (*.f64 x y)))) (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 z 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 x y) z) (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 z 3)) (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 z (-.f64 z (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 z 3)) (+.f64 (*.f64 z z) (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 z z)) (-.f64 (*.f64 x y) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 z 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 z (-.f64 z (*.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 z z))) (neg.f64 (-.f64 (*.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 x y) 2)) (-.f64 z (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x y z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x y z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x y z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x y z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x y z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x y z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x y z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x y z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x y z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x y) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 z (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 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)) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) z))))) |
| 1× | egg-herbie |
| 2× | fma-def_binary64 |
| 1× | +-commutative_binary64 |
| 1× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 159 |
| 1 | 9 | 159 |
| 2 | 10 | 159 |
| 1× | saturated |
| Inputs |
|---|
z |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 y x) z) |
(*.f64 y x) |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 y x) z) |
(*.f64 y x) |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 y x) z) |
z |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 y x) z) |
(*.f64 y x) |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 y x) z) |
(*.f64 y x) |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 y x) z) |
(*.f64 y x) |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 y x) z) |
z |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 y x) z) |
z |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 y x) z) |
| Outputs |
|---|
z |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(*.f64 y x) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(*.f64 y x) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
z |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(*.f64 y x) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(*.f64 y x) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(*.f64 y x) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
z |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
z |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (+.f64 1 (*.f64 -1 x)) z) |
Compiled 22 to 16 computations (27.3% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | 0 | (*.f64 (+.f64 1 (*.f64 -1 x)) z) |
| 1.0ms | x | @ | 0 | (*.f64 (+.f64 1 (*.f64 -1 x)) z) |
| 0.0ms | z | @ | inf | (*.f64 (+.f64 1 (*.f64 -1 x)) z) |
| 0.0ms | z | @ | -inf | (*.f64 (+.f64 1 (*.f64 -1 x)) z) |
| 0.0ms | x | @ | inf | (*.f64 (+.f64 1 (*.f64 -1 x)) z) |
| 1× | batch-egg-rewrite |
| 643× | pow1_binary64 |
| 595× | add-log-exp_binary64 |
| 594× | log1p-expm1-u_binary64 |
| 594× | expm1-log1p-u_binary64 |
| 584× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 9 |
| 1 | 157 | 7 |
| 2 | 1972 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (+.f64 1 (*.f64 -1 x)) z) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 z (*.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 z (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x z) z)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z x) z)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (+.f64 1 x) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) z) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (*.f64 x x)) z) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (+.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (+.f64 1 (*.f64 x x))) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 1 x) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 1 x) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 1 x) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 1 x) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 1 x) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 1 x)) z))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 1 x) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (+.f64 1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 1 x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 1 x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 x) (log.f64 z))))))) |
| 1× | egg-herbie |
| 133× | fma-def_binary64 |
| 90× | fma-neg_binary64 |
| 22× | cancel-sign-sub-inv_binary64 |
| 21× | associate-*r*_binary64 |
| 17× | associate-*l*_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 85 |
| 1 | 14 | 76 |
| 2 | 30 | 76 |
| 3 | 46 | 76 |
| 4 | 64 | 76 |
| 5 | 128 | 76 |
| 6 | 253 | 76 |
| 7 | 359 | 76 |
| 8 | 457 | 76 |
| 9 | 533 | 76 |
| 1× | saturated |
| Inputs |
|---|
z |
(+.f64 (*.f64 -1 (*.f64 z x)) z) |
(+.f64 (*.f64 -1 (*.f64 z x)) z) |
(+.f64 (*.f64 -1 (*.f64 z x)) z) |
(*.f64 -1 (*.f64 z x)) |
(+.f64 z (*.f64 -1 (*.f64 z x))) |
(+.f64 z (*.f64 -1 (*.f64 z x))) |
(+.f64 z (*.f64 -1 (*.f64 z x))) |
(*.f64 -1 (*.f64 z x)) |
(+.f64 z (*.f64 -1 (*.f64 z x))) |
(+.f64 z (*.f64 -1 (*.f64 z x))) |
(+.f64 z (*.f64 -1 (*.f64 z x))) |
| Outputs |
|---|
z |
(+.f64 (*.f64 -1 (*.f64 z x)) z) |
(fma.f64 -1 (*.f64 z x) z) |
(-.f64 z (*.f64 z x)) |
(fma.f64 z (neg.f64 x) z) |
(*.f64 z (-.f64 1 x)) |
(+.f64 (*.f64 -1 (*.f64 z x)) z) |
(fma.f64 -1 (*.f64 z x) z) |
(-.f64 z (*.f64 z x)) |
(fma.f64 z (neg.f64 x) z) |
(*.f64 z (-.f64 1 x)) |
(+.f64 (*.f64 -1 (*.f64 z x)) z) |
(fma.f64 -1 (*.f64 z x) z) |
(-.f64 z (*.f64 z x)) |
(fma.f64 z (neg.f64 x) z) |
(*.f64 z (-.f64 1 x)) |
(*.f64 -1 (*.f64 z x)) |
(neg.f64 (*.f64 z x)) |
(*.f64 z (neg.f64 x)) |
(+.f64 z (*.f64 -1 (*.f64 z x))) |
(fma.f64 -1 (*.f64 z x) z) |
(-.f64 z (*.f64 z x)) |
(fma.f64 z (neg.f64 x) z) |
(*.f64 z (-.f64 1 x)) |
(+.f64 z (*.f64 -1 (*.f64 z x))) |
(fma.f64 -1 (*.f64 z x) z) |
(-.f64 z (*.f64 z x)) |
(fma.f64 z (neg.f64 x) z) |
(*.f64 z (-.f64 1 x)) |
(+.f64 z (*.f64 -1 (*.f64 z x))) |
(fma.f64 -1 (*.f64 z x) z) |
(-.f64 z (*.f64 z x)) |
(fma.f64 z (neg.f64 x) z) |
(*.f64 z (-.f64 1 x)) |
(*.f64 -1 (*.f64 z x)) |
(neg.f64 (*.f64 z x)) |
(*.f64 z (neg.f64 x)) |
(+.f64 z (*.f64 -1 (*.f64 z x))) |
(fma.f64 -1 (*.f64 z x) z) |
(-.f64 z (*.f64 z x)) |
(fma.f64 z (neg.f64 x) z) |
(*.f64 z (-.f64 1 x)) |
(+.f64 z (*.f64 -1 (*.f64 z x))) |
(fma.f64 -1 (*.f64 z x) z) |
(-.f64 z (*.f64 z x)) |
(fma.f64 z (neg.f64 x) z) |
(*.f64 z (-.f64 1 x)) |
(+.f64 z (*.f64 -1 (*.f64 z x))) |
(fma.f64 -1 (*.f64 z x) z) |
(-.f64 z (*.f64 z x)) |
(fma.f64 z (neg.f64 x) z) |
(*.f64 z (-.f64 1 x)) |
Compiled 1634 to 583 computations (64.3% saved)
9 alts after pruning (6 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 147 | 6 | 153 |
| Fresh | 2 | 0 | 2 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 3 | 5 |
| Total | 152 | 9 | 161 |
| Status | Error | Program |
|---|---|---|
| ✓ | 43.2b | (*.f64 y x) |
| ▶ | 12.4b | (fma.f64 y x z) |
| ▶ | 20.0b | (-.f64 z (*.f64 z x)) |
| ▶ | 20.0b | (*.f64 z (-.f64 1 x)) |
| 31.6b | z | |
| ✓ | 12.4b | (+.f64 (*.f64 x y) z) |
| ✓ | 31.9b | (*.f64 (-.f64 y z) x) |
| ▶ | 31.9b | (+.f64 (*.f64 y x) (*.f64 (neg.f64 z) x)) |
| ▶ | 51.3b | (*.f64 z (neg.f64 x)) |
Compiled 108 to 71 computations (34.3% saved)
Compiled 10 to 4 computations (60% saved)
Compiled 11 to 5 computations (54.5% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 z (-.f64 1 x)) |
Compiled 14 to 9 computations (35.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | z | @ | 0 | (*.f64 z (-.f64 1 x)) |
| 0.0ms | z | @ | inf | (*.f64 z (-.f64 1 x)) |
| 0.0ms | z | @ | -inf | (*.f64 z (-.f64 1 x)) |
| 0.0ms | x | @ | -inf | (*.f64 z (-.f64 1 x)) |
| 0.0ms | x | @ | inf | (*.f64 z (-.f64 1 x)) |
| 1× | batch-egg-rewrite |
| 617× | pow1_binary64 |
| 572× | add-log-exp_binary64 |
| 572× | log1p-expm1-u_binary64 |
| 572× | expm1-log1p-u_binary64 |
| 561× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 122 | 7 |
| 2 | 1510 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 z (-.f64 1 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 z (*.f64 (neg.f64 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 z (*.f64 z (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 z (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) z) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 x x)) z) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (-.f64 1 (*.f64 x x))) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (-.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (-.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (-.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (-.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (-.f64 1 x)))))))) |
| 1× | egg-herbie |
| 133× | fma-def_binary64 |
| 90× | fma-neg_binary64 |
| 22× | cancel-sign-sub-inv_binary64 |
| 21× | associate-*r*_binary64 |
| 17× | associate-*l*_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 85 |
| 1 | 14 | 76 |
| 2 | 30 | 76 |
| 3 | 46 | 76 |
| 4 | 64 | 76 |
| 5 | 128 | 76 |
| 6 | 253 | 76 |
| 7 | 359 | 76 |
| 8 | 457 | 76 |
| 9 | 533 | 76 |
| 1× | saturated |
| Inputs |
|---|
z |
(+.f64 (*.f64 -1 (*.f64 z x)) z) |
(+.f64 (*.f64 -1 (*.f64 z x)) z) |
(+.f64 (*.f64 -1 (*.f64 z x)) z) |
(*.f64 -1 (*.f64 z x)) |
(+.f64 z (*.f64 -1 (*.f64 z x))) |
(+.f64 z (*.f64 -1 (*.f64 z x))) |
(+.f64 z (*.f64 -1 (*.f64 z x))) |
(*.f64 -1 (*.f64 z x)) |
(+.f64 z (*.f64 -1 (*.f64 z x))) |
(+.f64 z (*.f64 -1 (*.f64 z x))) |
(+.f64 z (*.f64 -1 (*.f64 z x))) |
| Outputs |
|---|
z |
(+.f64 (*.f64 -1 (*.f64 z x)) z) |
(fma.f64 -1 (*.f64 z x) z) |
(-.f64 z (*.f64 z x)) |
(fma.f64 z (neg.f64 x) z) |
(*.f64 z (-.f64 1 x)) |
(+.f64 (*.f64 -1 (*.f64 z x)) z) |
(fma.f64 -1 (*.f64 z x) z) |
(-.f64 z (*.f64 z x)) |
(fma.f64 z (neg.f64 x) z) |
(*.f64 z (-.f64 1 x)) |
(+.f64 (*.f64 -1 (*.f64 z x)) z) |
(fma.f64 -1 (*.f64 z x) z) |
(-.f64 z (*.f64 z x)) |
(fma.f64 z (neg.f64 x) z) |
(*.f64 z (-.f64 1 x)) |
(*.f64 -1 (*.f64 z x)) |
(neg.f64 (*.f64 z x)) |
(*.f64 z (neg.f64 x)) |
(+.f64 z (*.f64 -1 (*.f64 z x))) |
(fma.f64 -1 (*.f64 z x) z) |
(-.f64 z (*.f64 z x)) |
(fma.f64 z (neg.f64 x) z) |
(*.f64 z (-.f64 1 x)) |
(+.f64 z (*.f64 -1 (*.f64 z x))) |
(fma.f64 -1 (*.f64 z x) z) |
(-.f64 z (*.f64 z x)) |
(fma.f64 z (neg.f64 x) z) |
(*.f64 z (-.f64 1 x)) |
(+.f64 z (*.f64 -1 (*.f64 z x))) |
(fma.f64 -1 (*.f64 z x) z) |
(-.f64 z (*.f64 z x)) |
(fma.f64 z (neg.f64 x) z) |
(*.f64 z (-.f64 1 x)) |
(*.f64 -1 (*.f64 z x)) |
(neg.f64 (*.f64 z x)) |
(*.f64 z (neg.f64 x)) |
(+.f64 z (*.f64 -1 (*.f64 z x))) |
(fma.f64 -1 (*.f64 z x) z) |
(-.f64 z (*.f64 z x)) |
(fma.f64 z (neg.f64 x) z) |
(*.f64 z (-.f64 1 x)) |
(+.f64 z (*.f64 -1 (*.f64 z x))) |
(fma.f64 -1 (*.f64 z x) z) |
(-.f64 z (*.f64 z x)) |
(fma.f64 z (neg.f64 x) z) |
(*.f64 z (-.f64 1 x)) |
(+.f64 z (*.f64 -1 (*.f64 z x))) |
(fma.f64 -1 (*.f64 z x) z) |
(-.f64 z (*.f64 z x)) |
(fma.f64 z (neg.f64 x) z) |
(*.f64 z (-.f64 1 x)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 z (*.f64 z x)) |
Compiled 13 to 5 computations (61.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | z | @ | 0 | (-.f64 z (*.f64 z x)) |
| 0.0ms | x | @ | -inf | (-.f64 z (*.f64 z x)) |
| 0.0ms | z | @ | inf | (-.f64 z (*.f64 z x)) |
| 0.0ms | z | @ | -inf | (-.f64 z (*.f64 z x)) |
| 0.0ms | x | @ | 0 | (-.f64 z (*.f64 z x)) |
| 1× | batch-egg-rewrite |
| 649× | pow1_binary64 |
| 604× | add-log-exp_binary64 |
| 604× | log1p-expm1-u_binary64 |
| 604× | expm1-log1p-u_binary64 |
| 591× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 7 |
| 1 | 113 | 7 |
| 2 | 1650 | 7 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 z (*.f64 z x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 z (*.f64 z (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 z (*.f64 (*.f64 z (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 z (*.f64 z x)) (fma.f64 (neg.f64 x) z (*.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 z (*.f64 z x)) (fma.f64 (neg.f64 z) x (*.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 z (*.f64 z x)) (fma.f64 (*.f64 z (neg.f64 x)) 1 (*.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 z (*.f64 z x)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z x))) (pow.f64 (cbrt.f64 (*.f64 z x)) 2) (*.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 z (*.f64 z x)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z x))) (sqrt.f64 (*.f64 z x)) (*.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (neg.f64 x)) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 z (*.f64 z x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 z (*.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 z (*.f64 z x))) (pow.f64 (cbrt.f64 (-.f64 z (*.f64 z x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 z (*.f64 z x))) 2) (cbrt.f64 (-.f64 z (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 z (*.f64 z x))) (sqrt.f64 (-.f64 z (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 z 3) (pow.f64 (*.f64 z x) 3)) (/.f64 1 (fma.f64 z z (*.f64 (*.f64 z x) (+.f64 z (*.f64 z x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 z x) 2)) (/.f64 1 (+.f64 z (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 z x))) (-.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 z z (*.f64 (*.f64 z x) (+.f64 z (*.f64 z x)))) (-.f64 (pow.f64 z 3) (pow.f64 (*.f64 z x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 z (*.f64 z x)) (-.f64 (*.f64 z z) (pow.f64 (*.f64 z x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 z 3) (pow.f64 (*.f64 z x) 3)) (fma.f64 z z (*.f64 (*.f64 z x) (+.f64 z (*.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 z x) 2)) (+.f64 z (*.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 z 3) (pow.f64 (*.f64 z x) 3))) (neg.f64 (fma.f64 z z (*.f64 (*.f64 z x) (+.f64 z (*.f64 z x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 z x) 2))) (neg.f64 (+.f64 z (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 z 3) (pow.f64 (*.f64 z (neg.f64 x)) 3)) (+.f64 (*.f64 z z) (-.f64 (*.f64 (*.f64 z (neg.f64 x)) (*.f64 z (neg.f64 x))) (*.f64 z (*.f64 z (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 z (neg.f64 x)) (*.f64 z (neg.f64 x)))) (-.f64 z (*.f64 z (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 z (*.f64 z x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 z (*.f64 z x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 z (*.f64 z x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 z (*.f64 z x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 z (*.f64 z x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 z (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 z (*.f64 z x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 z (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 z (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 z (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 z (*.f64 z (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z) (*.f64 z (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 z (neg.f64 x))))))) |
| 1× | egg-herbie |
| 136× | fma-def_binary64 |
| 71× | fma-neg_binary64 |
| 22× | cancel-sign-sub-inv_binary64 |
| 18× | sub-neg_binary64 |
| 17× | associate-*r*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 160 |
| 1 | 28 | 160 |
| 2 | 47 | 160 |
| 3 | 76 | 160 |
| 4 | 124 | 160 |
| 5 | 211 | 160 |
| 6 | 360 | 160 |
| 7 | 439 | 160 |
| 8 | 509 | 160 |
| 9 | 515 | 160 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 z (-.f64 1 x)) |
(*.f64 z (-.f64 1 x)) |
(*.f64 z (-.f64 1 x)) |
(*.f64 z (-.f64 1 x)) |
(*.f64 z (-.f64 1 x)) |
(*.f64 z (-.f64 1 x)) |
(*.f64 z (-.f64 1 x)) |
(*.f64 z (-.f64 1 x)) |
(*.f64 (+.f64 1 (*.f64 -1 x)) z) |
(*.f64 (+.f64 1 (*.f64 -1 x)) z) |
(*.f64 (+.f64 1 (*.f64 -1 x)) z) |
(*.f64 (+.f64 1 (*.f64 -1 x)) z) |
z |
(+.f64 (*.f64 -1 (*.f64 z x)) z) |
(+.f64 (*.f64 -1 (*.f64 z x)) z) |
(+.f64 (*.f64 -1 (*.f64 z x)) z) |
(*.f64 -1 (*.f64 z x)) |
(+.f64 z (*.f64 -1 (*.f64 z x))) |
(+.f64 z (*.f64 -1 (*.f64 z x))) |
(+.f64 z (*.f64 -1 (*.f64 z x))) |
(*.f64 -1 (*.f64 z x)) |
(+.f64 z (*.f64 -1 (*.f64 z x))) |
(+.f64 z (*.f64 -1 (*.f64 z x))) |
(+.f64 z (*.f64 -1 (*.f64 z x))) |
| Outputs |
|---|
(*.f64 z (-.f64 1 x)) |
(-.f64 z (*.f64 z x)) |
(*.f64 z (-.f64 1 x)) |
(-.f64 z (*.f64 z x)) |
(*.f64 z (-.f64 1 x)) |
(-.f64 z (*.f64 z x)) |
(*.f64 z (-.f64 1 x)) |
(-.f64 z (*.f64 z x)) |
(*.f64 z (-.f64 1 x)) |
(-.f64 z (*.f64 z x)) |
(*.f64 z (-.f64 1 x)) |
(-.f64 z (*.f64 z x)) |
(*.f64 z (-.f64 1 x)) |
(-.f64 z (*.f64 z x)) |
(*.f64 z (-.f64 1 x)) |
(-.f64 z (*.f64 z x)) |
(*.f64 (+.f64 1 (*.f64 -1 x)) z) |
(*.f64 z (-.f64 1 x)) |
(-.f64 z (*.f64 z x)) |
(*.f64 (+.f64 1 (*.f64 -1 x)) z) |
(*.f64 z (-.f64 1 x)) |
(-.f64 z (*.f64 z x)) |
(*.f64 (+.f64 1 (*.f64 -1 x)) z) |
(*.f64 z (-.f64 1 x)) |
(-.f64 z (*.f64 z x)) |
(*.f64 (+.f64 1 (*.f64 -1 x)) z) |
(*.f64 z (-.f64 1 x)) |
(-.f64 z (*.f64 z x)) |
z |
(+.f64 (*.f64 -1 (*.f64 z x)) z) |
(*.f64 z (-.f64 1 x)) |
(-.f64 z (*.f64 z x)) |
(+.f64 (*.f64 -1 (*.f64 z x)) z) |
(*.f64 z (-.f64 1 x)) |
(-.f64 z (*.f64 z x)) |
(+.f64 (*.f64 -1 (*.f64 z x)) z) |
(*.f64 z (-.f64 1 x)) |
(-.f64 z (*.f64 z x)) |
(*.f64 -1 (*.f64 z x)) |
(neg.f64 (*.f64 z x)) |
(*.f64 x (neg.f64 z)) |
(*.f64 z (neg.f64 x)) |
(+.f64 z (*.f64 -1 (*.f64 z x))) |
(*.f64 z (-.f64 1 x)) |
(-.f64 z (*.f64 z x)) |
(+.f64 z (*.f64 -1 (*.f64 z x))) |
(*.f64 z (-.f64 1 x)) |
(-.f64 z (*.f64 z x)) |
(+.f64 z (*.f64 -1 (*.f64 z x))) |
(*.f64 z (-.f64 1 x)) |
(-.f64 z (*.f64 z x)) |
(*.f64 -1 (*.f64 z x)) |
(neg.f64 (*.f64 z x)) |
(*.f64 x (neg.f64 z)) |
(*.f64 z (neg.f64 x)) |
(+.f64 z (*.f64 -1 (*.f64 z x))) |
(*.f64 z (-.f64 1 x)) |
(-.f64 z (*.f64 z x)) |
(+.f64 z (*.f64 -1 (*.f64 z x))) |
(*.f64 z (-.f64 1 x)) |
(-.f64 z (*.f64 z x)) |
(+.f64 z (*.f64 -1 (*.f64 z x))) |
(*.f64 z (-.f64 1 x)) |
(-.f64 z (*.f64 z x)) |
Compiled 23 to 7 computations (69.6% saved)
Compiled 707 to 269 computations (62% saved)
9 alts after pruning (1 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 67 | 1 | 68 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 7 | 7 |
| Total | 68 | 9 | 77 |
| Status | Error | Program |
|---|---|---|
| ✓ | 43.2b | (*.f64 y x) |
| ✓ | 12.4b | (fma.f64 y x z) |
| ✓ | 20.0b | (-.f64 z (*.f64 z x)) |
| ✓ | 20.0b | (*.f64 z (-.f64 1 x)) |
| ✓ | 12.4b | (+.f64 (*.f64 x y) z) |
| 31.6b | z | |
| ✓ | 31.9b | (*.f64 (-.f64 y z) x) |
| ✓ | 31.9b | (+.f64 (*.f64 y x) (*.f64 (neg.f64 z) x)) |
| ✓ | 51.3b | (*.f64 z (neg.f64 x)) |
Compiled 67 to 44 computations (34.3% saved)
Compiled 3 to 3 computations (0% saved)
9 alts after pruning (1 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 8 | 8 |
| Total | 0 | 9 | 9 |
| Status | Error | Program |
|---|---|---|
| ✓ | 43.2b | (*.f64 y x) |
| ✓ | 12.4b | (fma.f64 y x z) |
| ✓ | 20.0b | (-.f64 z (*.f64 z x)) |
| ✓ | 20.0b | (*.f64 z (-.f64 1 x)) |
| ✓ | 12.4b | (+.f64 (*.f64 x y) z) |
| 31.6b | z | |
| ✓ | 31.9b | (*.f64 (-.f64 y z) x) |
| ✓ | 31.9b | (+.f64 (*.f64 y x) (*.f64 (neg.f64 z) x)) |
| ✓ | 51.3b | (*.f64 z (neg.f64 x)) |
Compiled 67 to 44 computations (34.3% saved)
| Inputs |
|---|
z |
z |
z |
(*.f64 y x) |
(*.f64 z (neg.f64 x)) |
(-.f64 z (*.f64 z x)) |
(*.f64 z (-.f64 1 x)) |
(+.f64 (*.f64 x y) z) |
(*.f64 (-.f64 y z) x) |
(*.f64 (+.f64 1 (*.f64 -1 x)) z) |
(+.f64 (*.f64 (-.f64 y z) x) z) |
(+.f64 (*.f64 y x) (*.f64 (neg.f64 z) x)) |
(+.f64 (*.f64 x y) (*.f64 x (neg.f64 z))) |
(+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z)) |
(fma.f64 y x z) |
(fma.f64 x (-.f64 y z) z) |
| Outputs |
|---|
(fma.f64 x (-.f64 y z) z) |
4 calls:
| 12.0ms | y |
| 11.0ms | (+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z)) |
| 11.0ms | x |
| 9.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | x |
| 0.0b | 1 | y |
| 0.0b | 1 | z |
| 0.0b | 1 | (+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z)) |
Compiled 106 to 49 computations (53.8% saved)
| Inputs |
|---|
z |
z |
z |
(*.f64 y x) |
(*.f64 z (neg.f64 x)) |
(-.f64 z (*.f64 z x)) |
(*.f64 z (-.f64 1 x)) |
(+.f64 (*.f64 x y) z) |
(*.f64 (-.f64 y z) x) |
(*.f64 (+.f64 1 (*.f64 -1 x)) z) |
(+.f64 (*.f64 (-.f64 y z) x) z) |
(+.f64 (*.f64 y x) (*.f64 (neg.f64 z) x)) |
(+.f64 (*.f64 x y) (*.f64 x (neg.f64 z))) |
(+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z)) |
(fma.f64 y x z) |
| Outputs |
|---|
(+.f64 (*.f64 (-.f64 y z) x) z) |
4 calls:
| 11.0ms | (+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z)) |
| 10.0ms | y |
| 9.0ms | x |
| 8.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | x |
| 0.0b | 1 | y |
| 0.0b | 1 | z |
| 0.0b | 1 | (+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z)) |
Compiled 100 to 48 computations (52% saved)
| Inputs |
|---|
z |
z |
z |
(*.f64 y x) |
(*.f64 z (neg.f64 x)) |
(-.f64 z (*.f64 z x)) |
(*.f64 z (-.f64 1 x)) |
(+.f64 (*.f64 x y) z) |
(*.f64 (-.f64 y z) x) |
(*.f64 (+.f64 1 (*.f64 -1 x)) z) |
| Outputs |
|---|
(*.f64 (-.f64 y z) x) |
(+.f64 (*.f64 x y) z) |
(*.f64 (-.f64 y z) x) |
3 calls:
| 72.0ms | z |
| 56.0ms | x |
| 21.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 1.1b | 3 | x |
| 6.6b | 3 | y |
| 5.3b | 10 | z |
Compiled 52 to 29 computations (44.2% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 2.1425274605380002e-5 | 0.018957061011013354 |
| 71.0ms | -9179893653.56984 | -13623.295600252339 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
z |
z |
z |
(*.f64 y x) |
(*.f64 z (neg.f64 x)) |
(-.f64 z (*.f64 z x)) |
(*.f64 z (-.f64 1 x)) |
(+.f64 (*.f64 x y) z) |
| Outputs |
|---|
(+.f64 (*.f64 x y) z) |
(-.f64 z (*.f64 z x)) |
(+.f64 (*.f64 x y) z) |
3 calls:
| 31.0ms | z |
| 16.0ms | x |
| 16.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 9.4b | 3 | x |
| 6.6b | 3 | y |
| 7.6b | 5 | z |
Compiled 40 to 22 computations (45% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 2.6822158936648805e-97 | 1.5724907559303725e-95 |
| 46.0ms | -3.629496560098364e-81 | -4.51563885940328e-94 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
z |
z |
z |
(*.f64 y x) |
(*.f64 z (neg.f64 x)) |
(-.f64 z (*.f64 z x)) |
(*.f64 z (-.f64 1 x)) |
| Outputs |
|---|
(-.f64 z (*.f64 z x)) |
(*.f64 y x) |
(-.f64 z (*.f64 z x)) |
3 calls:
| 41.0ms | y |
| 15.0ms | z |
| 15.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 18.5b | 3 | x |
| 15.4b | 3 | y |
| 13.6b | 3 | z |
Compiled 35 to 20 computations (42.9% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 4.8189436965995737e-166 | 2.1227867049699978e-165 |
| 18.0ms | -5.403055885022548e-192 | -1.9817049423217475e-202 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
z |
z |
z |
(*.f64 y x) |
(*.f64 z (neg.f64 x)) |
| Outputs |
|---|
(*.f64 z (neg.f64 x)) |
z |
(*.f64 y x) |
(*.f64 z (neg.f64 x)) |
3 calls:
| 52.0ms | x |
| 24.0ms | y |
| 17.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 19.4b | 4 | x |
| 25.0b | 5 | y |
| 23.5b | 3 | z |
Compiled 25 to 15 computations (40% saved)
| 3× | binary-search |
| Time | Left | Right |
|---|---|---|
| 75.0ms | 4.5823934042404296e+77 | 2.890994672218639e+78 |
| 17.0ms | 2.1425274605380002e-5 | 0.018957061011013354 |
| 17.0ms | -9179893653.56984 | -13623.295600252339 |
Compiled 108 to 79 computations (26.9% saved)
| Inputs |
|---|
z |
z |
z |
(*.f64 y x) |
| Outputs |
|---|
(*.f64 y x) |
z |
(*.f64 y x) |
3 calls:
| 22.0ms | y |
| 15.0ms | z |
| 12.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 21.7b | 3 | x |
| 25.0b | 5 | y |
| 23.5b | 3 | z |
Compiled 21 to 13 computations (38.1% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 2.1425274605380002e-5 | 0.018957061011013354 |
| 17.0ms | -1.491929325580449e-20 | -7.484892929269498e-30 |
Compiled 18 to 13 computations (27.8% saved)
Total -0.0b remaining (-0%)
Threshold costs -0.0b (-0%)
| Inputs |
|---|
z |
z |
z |
| Outputs |
|---|
z |
3 calls:
| 5.0ms | z |
| 4.0ms | y |
| 4.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 31.6b | 1 | x |
| 31.6b | 1 | y |
| 31.6b | 1 | z |
Compiled 18 to 12 computations (33.3% saved)
| 1× | egg-herbie |
| 7× | +-commutative_binary64 |
| 7× | *-commutative_binary64 |
| 5× | sub-neg_binary64 |
| 3× | neg-sub0_binary64 |
| 3× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 171 |
| 1 | 60 | 171 |
| 2 | 69 | 171 |
| 3 | 74 | 171 |
| 4 | 76 | 171 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 x (-.f64 y z) z) |
(+.f64 (*.f64 (-.f64 y z) x) z) |
(if (<=.f64 x -601613510480353/65536) (*.f64 (-.f64 y z) x) (if (<=.f64 x 6323624917670293/295147905179352825856) (+.f64 (*.f64 x y) z) (*.f64 (-.f64 y z) x))) |
(if (<=.f64 y -1938139399822411/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144) (+.f64 (*.f64 x y) z) (if (<=.f64 y 2580192560113559/9619630419041620901435312524449124464130795720328478190417063819395928166869436184427311097384012607618805661696) (-.f64 z (*.f64 z x)) (+.f64 (*.f64 x y) z))) |
(if (<=.f64 z -1734668471611287/321053216647239593947814323906257853121968982105906607635393121525191171526921436896586092302098904493834409720225721295960658706676257560005359788247795462033399882271023229870096664909931806474077957259264) (-.f64 z (*.f64 z x)) (if (<=.f64 z 3999256378920171/8299031137761985917024815727382322302024892464484873799991314659381305622825816292799414097894207588576395773222601578364790302150823550615773749668227927374122363606803019047370752) (*.f64 y x) (-.f64 z (*.f64 z x)))) |
(if (<=.f64 x -601613510480353/65536) (*.f64 z (neg.f64 x)) (if (<=.f64 x 6323624917670293/295147905179352825856) z (if (<=.f64 x 2849999999999999931647189736697813610807262766255501850021855000814103868473344) (*.f64 y x) (*.f64 z (neg.f64 x))))) |
(if (<=.f64 x -154930799007347/10384593717069655257060992658440192) (*.f64 y x) (if (<=.f64 x 6323624917670293/295147905179352825856) z (*.f64 y x))) |
z |
| Outputs |
|---|
(fma.f64 x (-.f64 y z) z) |
(+.f64 (*.f64 (-.f64 y z) x) z) |
(+.f64 z (*.f64 x (-.f64 y z))) |
(if (<=.f64 x -601613510480353/65536) (*.f64 (-.f64 y z) x) (if (<=.f64 x 6323624917670293/295147905179352825856) (+.f64 (*.f64 x y) z) (*.f64 (-.f64 y z) x))) |
(if (<=.f64 x -601613510480353/65536) (*.f64 x (-.f64 y z)) (if (<=.f64 x 6323624917670293/295147905179352825856) (+.f64 z (*.f64 x y)) (*.f64 x (-.f64 y z)))) |
(if (<=.f64 y -1938139399822411/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144) (+.f64 (*.f64 x y) z) (if (<=.f64 y 2580192560113559/9619630419041620901435312524449124464130795720328478190417063819395928166869436184427311097384012607618805661696) (-.f64 z (*.f64 z x)) (+.f64 (*.f64 x y) z))) |
(if (<=.f64 y -1938139399822411/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144) (+.f64 z (*.f64 x y)) (if (<=.f64 y 2580192560113559/9619630419041620901435312524449124464130795720328478190417063819395928166869436184427311097384012607618805661696) (-.f64 z (*.f64 x z)) (+.f64 z (*.f64 x y)))) |
(if (<=.f64 z -1734668471611287/321053216647239593947814323906257853121968982105906607635393121525191171526921436896586092302098904493834409720225721295960658706676257560005359788247795462033399882271023229870096664909931806474077957259264) (-.f64 z (*.f64 z x)) (if (<=.f64 z 3999256378920171/8299031137761985917024815727382322302024892464484873799991314659381305622825816292799414097894207588576395773222601578364790302150823550615773749668227927374122363606803019047370752) (*.f64 y x) (-.f64 z (*.f64 z x)))) |
(if (<=.f64 z -1734668471611287/321053216647239593947814323906257853121968982105906607635393121525191171526921436896586092302098904493834409720225721295960658706676257560005359788247795462033399882271023229870096664909931806474077957259264) (-.f64 z (*.f64 x z)) (if (<=.f64 z 3999256378920171/8299031137761985917024815727382322302024892464484873799991314659381305622825816292799414097894207588576395773222601578364790302150823550615773749668227927374122363606803019047370752) (*.f64 x y) (-.f64 z (*.f64 x z)))) |
(if (<=.f64 x -601613510480353/65536) (*.f64 z (neg.f64 x)) (if (<=.f64 x 6323624917670293/295147905179352825856) z (if (<=.f64 x 2849999999999999931647189736697813610807262766255501850021855000814103868473344) (*.f64 y x) (*.f64 z (neg.f64 x))))) |
(if (<=.f64 x -601613510480353/65536) (*.f64 z (neg.f64 x)) (if (<=.f64 x 6323624917670293/295147905179352825856) z (if (<=.f64 x 2849999999999999931647189736697813610807262766255501850021855000814103868473344) (*.f64 x y) (*.f64 z (neg.f64 x))))) |
(if (<=.f64 x -601613510480353/65536) (*.f64 x (neg.f64 z)) (if (<=.f64 x 6323624917670293/295147905179352825856) z (if (<=.f64 x 2849999999999999931647189736697813610807262766255501850021855000814103868473344) (*.f64 x y) (*.f64 x (neg.f64 z))))) |
(if (<=.f64 x -154930799007347/10384593717069655257060992658440192) (*.f64 y x) (if (<=.f64 x 6323624917670293/295147905179352825856) z (*.f64 y x))) |
(if (<=.f64 x -154930799007347/10384593717069655257060992658440192) (*.f64 x y) (if (<=.f64 x 6323624917670293/295147905179352825856) z (*.f64 x y))) |
z |
Compiled 144 to 77 computations (46.5% saved)
| 1× | egg-herbie |
| 346× | fma-def_binary64 |
| 246× | fma-neg_binary64 |
| 54× | cancel-sign-sub-inv_binary64 |
| 45× | distribute-rgt-in_binary64 |
| 41× | associate--r+_binary64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 11 |
| 1 | 17 | 11 |
| 2 | 30 | 11 |
| 3 | 57 | 11 |
| 4 | 126 | 9 |
| 5 | 218 | 8 |
| 6 | 346 | 8 |
| 7 | 557 | 8 |
| 8 | 960 | 8 |
| 9 | 1145 | 8 |
| 10 | 1205 | 8 |
| 11 | 1215 | 8 |
| 1× | saturated |
Compiled 210 to 134 computations (36.2% saved)
Compiled 123 to 46 computations (62.6% saved)
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