Time bar (total: 4.1s)
| 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)
| 978.0ms | 8256× | body | 256 | valid |
| 219.0ms | 1203× | 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 1 x) z) |
| ✓ | 0.0b | (+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z)) |
Compiled 27 to 14 computations (48.1% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (*.f64 (-.f64 1 x) z) |
| 1.0ms | z | @ | -inf | (*.f64 (-.f64 1 x) z) |
| 1.0ms | x | @ | inf | (+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z)) |
| 1.0ms | y | @ | 0 | (+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z)) |
| 1.0ms | x | @ | 0 | (+.f64 (*.f64 x y) (*.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 x y) (*.f64 (-.f64 1 x) z)) |
(*.f64 (-.f64 1 x) z) |
| Outputs |
|---|
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((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 (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 (-.f64 1 x)) (*.f64 (sqrt.f64 (-.f64 1 x)) z) (*.f64 x y))))) (#(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 z) (*.f64 (sqrt.f64 z) (-.f64 1 x)) (*.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 (*.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)))))) |
((#(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 x 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 x x)) z) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (-.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 x 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (-.f64 1 (*.f64 x x))) (+.f64 x 1))))) (#(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))))))) |
| 1× | egg-herbie |
| 345× | fma-def_binary64 |
| 255× | fma-neg_binary64 |
| 50× | cancel-sign-sub-inv_binary64 |
| 47× | unsub-neg_binary64 |
| 38× | sub-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 453 |
| 1 | 58 | 424 |
| 2 | 125 | 424 |
| 3 | 252 | 424 |
| 4 | 524 | 424 |
| 5 | 882 | 424 |
| 6 | 1156 | 424 |
| 7 | 1225 | 424 |
| 8 | 1227 | 424 |
| 1× | saturated |
| Inputs |
|---|
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))) |
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)) |
| Outputs |
|---|
z |
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) y) x) z) |
(fma.f64 (fma.f64 -1 z y) x z) |
(fma.f64 (-.f64 y z) 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 (-.f64 y z) 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 (-.f64 y z) x z) |
(fma.f64 x (-.f64 y z) z) |
(*.f64 (+.f64 (*.f64 -1 z) y) x) |
(*.f64 (fma.f64 -1 z y) x) |
(*.f64 (-.f64 y z) x) |
(*.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 (-.f64 y z) 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 (-.f64 y z) 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 (-.f64 y z) x z) |
(fma.f64 x (-.f64 y z) z) |
(*.f64 -1 (*.f64 x (+.f64 z (*.f64 -1 y)))) |
(*.f64 (fma.f64 -1 z y) x) |
(*.f64 (-.f64 y z) x) |
(*.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 (-.f64 y z) 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 (-.f64 y z) 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 (-.f64 y z) x z) |
(fma.f64 x (-.f64 y z) z) |
(*.f64 z (-.f64 1 x)) |
(-.f64 z (*.f64 z x)) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(fma.f64 (fma.f64 -1 z y) x z) |
(fma.f64 (-.f64 y z) 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 (-.f64 y z) 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 (-.f64 y z) x z) |
(fma.f64 x (-.f64 y z) z) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(fma.f64 (fma.f64 -1 z y) x z) |
(fma.f64 (-.f64 y z) 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 (-.f64 y z) 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 (-.f64 y z) x z) |
(fma.f64 x (-.f64 y z) z) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(fma.f64 (fma.f64 -1 z y) x z) |
(fma.f64 (-.f64 y z) 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 (-.f64 y z) 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 (-.f64 y z) x z) |
(fma.f64 x (-.f64 y z) z) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(fma.f64 (fma.f64 -1 z y) x z) |
(fma.f64 (-.f64 y z) 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 (-.f64 y z) 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 (-.f64 y z) x z) |
(fma.f64 x (-.f64 y z) z) |
(*.f64 z (-.f64 1 x)) |
(-.f64 z (*.f64 z x)) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(fma.f64 (fma.f64 -1 z y) x z) |
(fma.f64 (-.f64 y z) 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 (-.f64 y z) 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 (-.f64 y z) x z) |
(fma.f64 x (-.f64 y z) z) |
(*.f64 z (-.f64 1 x)) |
(-.f64 z (*.f64 z x)) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(fma.f64 (fma.f64 -1 z y) x z) |
(fma.f64 (-.f64 y z) 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 (-.f64 y z) 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 (-.f64 y z) x z) |
(fma.f64 x (-.f64 y z) z) |
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)) |
(*.f64 (neg.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 z (*.f64 -1 (*.f64 z x))) |
(*.f64 z (-.f64 1 x)) |
(-.f64 z (*.f64 z x)) |
(*.f64 -1 (*.f64 z x)) |
(*.f64 (neg.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 z (*.f64 -1 (*.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 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)) |
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 | @ | -inf | (fma.f64 x (-.f64 y z) z) |
| 1.0ms | x | @ | 0 | (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 2297 to 1174 computations (48.9% saved)
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 164 | 6 | 170 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 0 | 1 |
| Total | 165 | 7 | 172 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.0b | (fma.f64 y x (*.f64 (-.f64 1 x) z)) |
| ▶ | 40.0b | (*.f64 y x) |
| ▶ | 22.9b | (-.f64 z (*.f64 z x)) |
| ▶ | 0.0b | (+.f64 (*.f64 (-.f64 y z) x) z) |
| 33.6b | z | |
| ▶ | 29.5b | (*.f64 (-.f64 y z) x) |
| ✓ | 0.0b | (fma.f64 x (-.f64 y z) z) |
Compiled 99 to 62 computations (37.4% 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 | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | (*.f64 (-.f64 y z) x) |
| 1.0ms | y | @ | -inf | (+.f64 (*.f64 (-.f64 y z) x) z) |
| 0.0ms | x | @ | -inf | (+.f64 (*.f64 (-.f64 y z) x) z) |
| 0.0ms | y | @ | 0 | (+.f64 (*.f64 (-.f64 y z) x) z) |
| 0.0ms | x | @ | inf | (+.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)
Compiled 13 to 5 computations (61.5% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (fma.f64 y x (*.f64 (-.f64 1 x) z)) |
| 0.0b | (*.f64 (-.f64 1 x) z) |
Compiled 23 to 13 computations (43.5% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | -inf | (fma.f64 y x (*.f64 (-.f64 1 x) z)) |
| 0.0ms | x | @ | -inf | (fma.f64 y x (*.f64 (-.f64 1 x) z)) |
| 0.0ms | x | @ | inf | (fma.f64 y x (*.f64 (-.f64 1 x) z)) |
| 0.0ms | y | @ | inf | (fma.f64 y x (*.f64 (-.f64 1 x) z)) |
| 0.0ms | y | @ | 0 | (fma.f64 y x (*.f64 (-.f64 1 x) z)) |
| 1× | batch-egg-rewrite |
| 824× | pow1_binary64 |
| 760× | add-log-exp_binary64 |
| 760× | log1p-expm1-u_binary64 |
| 760× | expm1-log1p-u_binary64 |
| 744× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 11 |
| 1 | 162 | 11 |
| 2 | 2001 | 11 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 y x (*.f64 (-.f64 1 x) z)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1 x) z) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (*.f64 (-.f64 1 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y x) 1) (*.f64 (-.f64 1 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 y x (*.f64 (-.f64 1 x) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y x (*.f64 (-.f64 1 x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y x (*.f64 (-.f64 1 x) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y x (*.f64 (-.f64 1 x) z))) (pow.f64 (cbrt.f64 (fma.f64 y x (*.f64 (-.f64 1 x) z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y x (*.f64 (-.f64 1 x) z))) 2) (cbrt.f64 (fma.f64 y x (*.f64 (-.f64 1 x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y x (*.f64 (-.f64 1 x) z))) (sqrt.f64 (fma.f64 y x (*.f64 (-.f64 1 x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (*.f64 (-.f64 1 x) z) 3)) (+.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (-.f64 (pow.f64 (*.f64 (-.f64 1 x) z) 2) (*.f64 (*.f64 y x) (*.f64 (-.f64 1 x) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (pow.f64 (*.f64 (-.f64 1 x) z) 2)) (-.f64 (*.f64 y x) (*.f64 (-.f64 1 x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y x (*.f64 (-.f64 1 x) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y x (*.f64 (-.f64 1 x) z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y x (*.f64 (-.f64 1 x) z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y x (*.f64 (-.f64 1 x) z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y x (*.f64 (-.f64 1 x) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y x (*.f64 (-.f64 1 x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y x (*.f64 (-.f64 1 x) z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y x (*.f64 (-.f64 1 x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y x (*.f64 (-.f64 1 x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y x (*.f64 (-.f64 1 x) z)))))))) |
| 1× | egg-herbie |
| 311× | fma-def_binary64 |
| 275× | fma-neg_binary64 |
| 50× | cancel-sign-sub-inv_binary64 |
| 44× | unsub-neg_binary64 |
| 39× | distribute-rgt-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 347 |
| 1 | 50 | 345 |
| 2 | 125 | 264 |
| 3 | 229 | 264 |
| 4 | 475 | 264 |
| 5 | 841 | 264 |
| 6 | 1154 | 264 |
| 7 | 1257 | 264 |
| 8 | 1260 | 264 |
| 1× | saturated |
| Inputs |
|---|
(*.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))) |
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 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 |
|---|
(*.f64 z (-.f64 1 x)) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(fma.f64 y x (*.f64 z (-.f64 1 x))) |
(fma.f64 z (-.f64 1 x) (*.f64 x y)) |
(fma.f64 x (-.f64 y z) z) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(fma.f64 y x (*.f64 z (-.f64 1 x))) |
(fma.f64 z (-.f64 1 x) (*.f64 x y)) |
(fma.f64 x (-.f64 y z) z) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(fma.f64 y x (*.f64 z (-.f64 1 x))) |
(fma.f64 z (-.f64 1 x) (*.f64 x y)) |
(fma.f64 x (-.f64 y z) z) |
(*.f64 y x) |
(*.f64 x y) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(fma.f64 y x (*.f64 z (-.f64 1 x))) |
(fma.f64 z (-.f64 1 x) (*.f64 x y)) |
(fma.f64 x (-.f64 y z) z) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(fma.f64 y x (*.f64 z (-.f64 1 x))) |
(fma.f64 z (-.f64 1 x) (*.f64 x y)) |
(fma.f64 x (-.f64 y z) z) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(fma.f64 y x (*.f64 z (-.f64 1 x))) |
(fma.f64 z (-.f64 1 x) (*.f64 x y)) |
(fma.f64 x (-.f64 y z) z) |
(*.f64 y x) |
(*.f64 x y) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(fma.f64 y x (*.f64 z (-.f64 1 x))) |
(fma.f64 z (-.f64 1 x) (*.f64 x y)) |
(fma.f64 x (-.f64 y z) z) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(fma.f64 y x (*.f64 z (-.f64 1 x))) |
(fma.f64 z (-.f64 1 x) (*.f64 x y)) |
(fma.f64 x (-.f64 y z) z) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(fma.f64 y x (*.f64 z (-.f64 1 x))) |
(fma.f64 z (-.f64 1 x) (*.f64 x y)) |
(fma.f64 x (-.f64 y z) z) |
z |
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) y) x) z) |
(fma.f64 y x (*.f64 z (-.f64 1 x))) |
(fma.f64 z (-.f64 1 x) (*.f64 x y)) |
(fma.f64 x (-.f64 y z) z) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) y) x) z) |
(fma.f64 y x (*.f64 z (-.f64 1 x))) |
(fma.f64 z (-.f64 1 x) (*.f64 x y)) |
(fma.f64 x (-.f64 y z) z) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) y) x) z) |
(fma.f64 y x (*.f64 z (-.f64 1 x))) |
(fma.f64 z (-.f64 1 x) (*.f64 x y)) |
(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 y x (*.f64 z (-.f64 1 x))) |
(fma.f64 z (-.f64 1 x) (*.f64 x y)) |
(fma.f64 x (-.f64 y z) z) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) y) x) z) |
(fma.f64 y x (*.f64 z (-.f64 1 x))) |
(fma.f64 z (-.f64 1 x) (*.f64 x y)) |
(fma.f64 x (-.f64 y z) z) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 z) y) x) z) |
(fma.f64 y x (*.f64 z (-.f64 1 x))) |
(fma.f64 z (-.f64 1 x) (*.f64 x y)) |
(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 y x (*.f64 z (-.f64 1 x))) |
(fma.f64 z (-.f64 1 x) (*.f64 x y)) |
(fma.f64 x (-.f64 y z) z) |
(+.f64 (*.f64 -1 (*.f64 x (+.f64 z (*.f64 -1 y)))) z) |
(fma.f64 y x (*.f64 z (-.f64 1 x))) |
(fma.f64 z (-.f64 1 x) (*.f64 x y)) |
(fma.f64 x (-.f64 y z) z) |
(+.f64 (*.f64 -1 (*.f64 x (+.f64 z (*.f64 -1 y)))) z) |
(fma.f64 y x (*.f64 z (-.f64 1 x))) |
(fma.f64 z (-.f64 1 x) (*.f64 x y)) |
(fma.f64 x (-.f64 y z) z) |
(*.f64 y x) |
(*.f64 x y) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(fma.f64 y x (*.f64 z (-.f64 1 x))) |
(fma.f64 z (-.f64 1 x) (*.f64 x y)) |
(fma.f64 x (-.f64 y z) z) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(fma.f64 y x (*.f64 z (-.f64 1 x))) |
(fma.f64 z (-.f64 1 x) (*.f64 x y)) |
(fma.f64 x (-.f64 y z) z) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(fma.f64 y x (*.f64 z (-.f64 1 x))) |
(fma.f64 z (-.f64 1 x) (*.f64 x y)) |
(fma.f64 x (-.f64 y z) z) |
(*.f64 z (-.f64 1 x)) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(fma.f64 y x (*.f64 z (-.f64 1 x))) |
(fma.f64 z (-.f64 1 x) (*.f64 x y)) |
(fma.f64 x (-.f64 y z) z) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(fma.f64 y x (*.f64 z (-.f64 1 x))) |
(fma.f64 z (-.f64 1 x) (*.f64 x y)) |
(fma.f64 x (-.f64 y z) z) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(fma.f64 y x (*.f64 z (-.f64 1 x))) |
(fma.f64 z (-.f64 1 x) (*.f64 x y)) |
(fma.f64 x (-.f64 y z) z) |
(*.f64 z (-.f64 1 x)) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(fma.f64 y x (*.f64 z (-.f64 1 x))) |
(fma.f64 z (-.f64 1 x) (*.f64 x y)) |
(fma.f64 x (-.f64 y z) z) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(fma.f64 y x (*.f64 z (-.f64 1 x))) |
(fma.f64 z (-.f64 1 x) (*.f64 x y)) |
(fma.f64 x (-.f64 y z) z) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(fma.f64 y x (*.f64 z (-.f64 1 x))) |
(fma.f64 z (-.f64 1 x) (*.f64 x y)) |
(fma.f64 x (-.f64 y z) z) |
Compiled 2010 to 850 computations (57.7% saved)
8 alts after pruning (3 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 168 | 3 | 171 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 5 | 5 |
| Total | 170 | 8 | 178 |
| Status | Error | Program |
|---|---|---|
| ✓ | 22.9b | (-.f64 z (*.f64 z x)) |
| ✓ | 0.0b | (+.f64 (*.f64 (-.f64 y z) x) z) |
| 33.6b | z | |
| ▶ | 29.5b | (fma.f64 y x (*.f64 (neg.f64 z) x)) |
| ▶ | 51.8b | (*.f64 x (neg.f64 z)) |
| ✓ | 40.0b | (*.f64 y x) |
| ✓ | 29.5b | (*.f64 (-.f64 y z) x) |
| ✓ | 0.0b | (fma.f64 x (-.f64 y z) z) |
Compiled 62 to 39 computations (37.1% saved)
Compiled 11 to 5 computations (54.5% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (fma.f64 y x (*.f64 (neg.f64 z) x)) |
Compiled 19 to 6 computations (68.4% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | (fma.f64 y x (*.f64 (neg.f64 z) x)) |
| 1.0ms | x | @ | 0 | (fma.f64 y x (*.f64 (neg.f64 z) x)) |
| 1.0ms | x | @ | inf | (fma.f64 y x (*.f64 (neg.f64 z) x)) |
| 1.0ms | y | @ | 0 | (fma.f64 y x (*.f64 (neg.f64 z) x)) |
| 1.0ms | z | @ | 0 | (fma.f64 y x (*.f64 (neg.f64 z) x)) |
| 1× | batch-egg-rewrite |
| 607× | pow1_binary64 |
| 556× | add-log-exp_binary64 |
| 555× | log1p-expm1-u_binary64 |
| 555× | expm1-log1p-u_binary64 |
| 543× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 143 | 7 |
| 2 | 1814 | 7 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 y x (*.f64 (neg.f64 z) x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x z) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (*.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y x) 1) (*.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 y x) (*.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (+.f64 y z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (+.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (+.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y z))) 2) (cbrt.f64 (*.f64 x (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (+.f64 y z))) (sqrt.f64 (*.f64 x (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (*.f64 x z) 3)) (+.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (-.f64 (pow.f64 (*.f64 x z) 2) (*.f64 (*.f64 y x) (*.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (pow.f64 (*.f64 x z) 2)) (*.f64 x (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (+.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (+.f64 y z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (+.f64 y z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (+.f64 y z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (+.f64 y z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 x (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (+.f64 y z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (+.f64 y z)))))))) |
| 1× | egg-herbie |
| 160× | fma-def_binary64 |
| 110× | fma-neg_binary64 |
| 31× | unsub-neg_binary64 |
| 30× | cancel-sign-sub-inv_binary64 |
| 26× | associate-*r*_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 330 |
| 1 | 41 | 240 |
| 2 | 96 | 240 |
| 3 | 186 | 240 |
| 4 | 324 | 240 |
| 5 | 508 | 240 |
| 6 | 622 | 240 |
| 7 | 663 | 240 |
| 1× | saturated |
| Inputs |
|---|
(*.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 (+.f64 (*.f64 -1 z) y) x) |
(*.f64 (+.f64 (*.f64 -1 z) y) x) |
(*.f64 (+.f64 (*.f64 -1 z) y) x) |
(*.f64 (+.f64 (*.f64 -1 z) y) x) |
(*.f64 (+.f64 (*.f64 -1 z) y) x) |
(*.f64 (+.f64 (*.f64 -1 z) y) x) |
(*.f64 (+.f64 (*.f64 -1 z) y) x) |
(*.f64 (+.f64 (*.f64 -1 z) y) x) |
(*.f64 -1 (*.f64 x (+.f64 z (*.f64 -1 y)))) |
(*.f64 -1 (*.f64 x (+.f64 z (*.f64 -1 y)))) |
(*.f64 -1 (*.f64 x (+.f64 z (*.f64 -1 y)))) |
(*.f64 -1 (*.f64 x (+.f64 z (*.f64 -1 y)))) |
(*.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 -1 (*.f64 z x)) |
(*.f64 (neg.f64 z) x) |
(*.f64 z (neg.f64 x)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(fma.f64 y x (*.f64 (neg.f64 z) x)) |
(*.f64 x (-.f64 y z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(fma.f64 y x (*.f64 (neg.f64 z) x)) |
(*.f64 x (-.f64 y z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(fma.f64 y x (*.f64 (neg.f64 z) x)) |
(*.f64 x (-.f64 y z)) |
(*.f64 y x) |
(*.f64 x y) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(fma.f64 y x (*.f64 (neg.f64 z) x)) |
(*.f64 x (-.f64 y z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(fma.f64 y x (*.f64 (neg.f64 z) x)) |
(*.f64 x (-.f64 y z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(fma.f64 y x (*.f64 (neg.f64 z) x)) |
(*.f64 x (-.f64 y z)) |
(*.f64 y x) |
(*.f64 x y) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(fma.f64 y x (*.f64 (neg.f64 z) x)) |
(*.f64 x (-.f64 y z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(fma.f64 y x (*.f64 (neg.f64 z) x)) |
(*.f64 x (-.f64 y z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(fma.f64 y x (*.f64 (neg.f64 z) x)) |
(*.f64 x (-.f64 y z)) |
(*.f64 (+.f64 (*.f64 -1 z) y) x) |
(fma.f64 y x (*.f64 (neg.f64 z) x)) |
(*.f64 x (-.f64 y z)) |
(*.f64 (+.f64 (*.f64 -1 z) y) x) |
(fma.f64 y x (*.f64 (neg.f64 z) x)) |
(*.f64 x (-.f64 y z)) |
(*.f64 (+.f64 (*.f64 -1 z) y) x) |
(fma.f64 y x (*.f64 (neg.f64 z) x)) |
(*.f64 x (-.f64 y z)) |
(*.f64 (+.f64 (*.f64 -1 z) y) x) |
(fma.f64 y x (*.f64 (neg.f64 z) x)) |
(*.f64 x (-.f64 y z)) |
(*.f64 (+.f64 (*.f64 -1 z) y) x) |
(fma.f64 y x (*.f64 (neg.f64 z) x)) |
(*.f64 x (-.f64 y z)) |
(*.f64 (+.f64 (*.f64 -1 z) y) x) |
(fma.f64 y x (*.f64 (neg.f64 z) x)) |
(*.f64 x (-.f64 y z)) |
(*.f64 (+.f64 (*.f64 -1 z) y) x) |
(fma.f64 y x (*.f64 (neg.f64 z) x)) |
(*.f64 x (-.f64 y z)) |
(*.f64 (+.f64 (*.f64 -1 z) y) x) |
(fma.f64 y x (*.f64 (neg.f64 z) x)) |
(*.f64 x (-.f64 y z)) |
(*.f64 -1 (*.f64 x (+.f64 z (*.f64 -1 y)))) |
(fma.f64 y x (*.f64 (neg.f64 z) x)) |
(*.f64 x (-.f64 y z)) |
(*.f64 -1 (*.f64 x (+.f64 z (*.f64 -1 y)))) |
(fma.f64 y x (*.f64 (neg.f64 z) x)) |
(*.f64 x (-.f64 y z)) |
(*.f64 -1 (*.f64 x (+.f64 z (*.f64 -1 y)))) |
(fma.f64 y x (*.f64 (neg.f64 z) x)) |
(*.f64 x (-.f64 y z)) |
(*.f64 -1 (*.f64 x (+.f64 z (*.f64 -1 y)))) |
(fma.f64 y x (*.f64 (neg.f64 z) x)) |
(*.f64 x (-.f64 y z)) |
(*.f64 y x) |
(*.f64 x y) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(fma.f64 y x (*.f64 (neg.f64 z) x)) |
(*.f64 x (-.f64 y z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(fma.f64 y x (*.f64 (neg.f64 z) x)) |
(*.f64 x (-.f64 y z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(fma.f64 y x (*.f64 (neg.f64 z) x)) |
(*.f64 x (-.f64 y z)) |
(*.f64 -1 (*.f64 z x)) |
(*.f64 (neg.f64 z) x) |
(*.f64 z (neg.f64 x)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(fma.f64 y x (*.f64 (neg.f64 z) x)) |
(*.f64 x (-.f64 y z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(fma.f64 y x (*.f64 (neg.f64 z) x)) |
(*.f64 x (-.f64 y z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(fma.f64 y x (*.f64 (neg.f64 z) x)) |
(*.f64 x (-.f64 y z)) |
(*.f64 -1 (*.f64 z x)) |
(*.f64 (neg.f64 z) x) |
(*.f64 z (neg.f64 x)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(fma.f64 y x (*.f64 (neg.f64 z) x)) |
(*.f64 x (-.f64 y z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(fma.f64 y x (*.f64 (neg.f64 z) x)) |
(*.f64 x (-.f64 y z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(fma.f64 y x (*.f64 (neg.f64 z) x)) |
(*.f64 x (-.f64 y z)) |
Compiled 277 to 91 computations (67.1% saved)
8 alts after pruning (1 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 31 | 0 | 31 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 6 | 6 |
| Total | 31 | 8 | 39 |
| Status | Error | Program |
|---|---|---|
| ✓ | 22.9b | (-.f64 z (*.f64 z x)) |
| ✓ | 0.0b | (+.f64 (*.f64 (-.f64 y z) x) z) |
| 33.6b | z | |
| ✓ | 29.5b | (fma.f64 y x (*.f64 (neg.f64 z) x)) |
| ✓ | 51.8b | (*.f64 x (neg.f64 z)) |
| ✓ | 40.0b | (*.f64 y x) |
| ✓ | 29.5b | (*.f64 (-.f64 y z) x) |
| ✓ | 0.0b | (fma.f64 x (-.f64 y z) z) |
Compiled 62 to 39 computations (37.1% saved)
Compiled 3 to 3 computations (0% saved)
8 alts after pruning (1 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 7 | 7 |
| Total | 0 | 8 | 8 |
| Status | Error | Program |
|---|---|---|
| ✓ | 22.9b | (-.f64 z (*.f64 z x)) |
| ✓ | 0.0b | (+.f64 (*.f64 (-.f64 y z) x) z) |
| 33.6b | z | |
| ✓ | 29.5b | (fma.f64 y x (*.f64 (neg.f64 z) x)) |
| ✓ | 51.8b | (*.f64 x (neg.f64 z)) |
| ✓ | 40.0b | (*.f64 y x) |
| ✓ | 29.5b | (*.f64 (-.f64 y z) x) |
| ✓ | 0.0b | (fma.f64 x (-.f64 y z) z) |
Compiled 62 to 39 computations (37.1% saved)
| Inputs |
|---|
z |
z |
(*.f64 y x) |
(*.f64 x (neg.f64 z)) |
(-.f64 z (*.f64 z x)) |
(*.f64 (-.f64 y z) x) |
(+.f64 (*.f64 (-.f64 y z) x) z) |
(+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z)) |
(fma.f64 x (-.f64 y z) z) |
(fma.f64 y x (*.f64 (neg.f64 z) x)) |
(fma.f64 y x (*.f64 (-.f64 1 x) z)) |
| Outputs |
|---|
(fma.f64 x (-.f64 y z) z) |
4 calls:
| 15.0ms | (+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z)) |
| 15.0ms | x |
| 14.0ms | y |
| 14.0ms | 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 83 to 40 computations (51.8% saved)
| Inputs |
|---|
z |
z |
(*.f64 y x) |
(*.f64 x (neg.f64 z)) |
(-.f64 z (*.f64 z x)) |
(*.f64 (-.f64 y z) x) |
(+.f64 (*.f64 (-.f64 y z) x) z) |
(+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z)) |
| Outputs |
|---|
(+.f64 (*.f64 (-.f64 y z) x) z) |
4 calls:
| 13.0ms | (+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z)) |
| 12.0ms | x |
| 12.0ms | z |
| 12.0ms | y |
| 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 62 to 33 computations (46.8% saved)
| Inputs |
|---|
z |
z |
(*.f64 y x) |
(*.f64 x (neg.f64 z)) |
(-.f64 z (*.f64 z x)) |
(*.f64 (-.f64 y z) x) |
| Outputs |
|---|
(-.f64 z (*.f64 z x)) |
(*.f64 (-.f64 y z) x) |
(-.f64 z (*.f64 z x)) |
3 calls:
| 39.0ms | z |
| 38.0ms | y |
| 30.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 11.9b | 3 | x |
| 16.4b | 3 | y |
| 9.4b | 3 | z |
Compiled 34 to 19 computations (44.1% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 36.0ms | 5.883759852816575e-81 | 2.0582058506493217e-80 |
| 34.0ms | -4.882699287378141e-66 | -1.6232422842111678e-71 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
z |
z |
(*.f64 y x) |
(*.f64 x (neg.f64 z)) |
(-.f64 z (*.f64 z x)) |
| Outputs |
|---|
(-.f64 z (*.f64 z x)) |
(*.f64 y x) |
(-.f64 z (*.f64 z x)) |
3 calls:
| 110.0ms | x |
| 71.0ms | y |
| 29.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 18.6b | 6 | x |
| 16.9b | 3 | y |
| 11.5b | 3 | z |
Compiled 29 to 17 computations (41.4% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 55.0ms | 5.883759852816575e-81 | 2.0582058506493217e-80 |
| 75.0ms | -1.2633047210900228e-103 | -8.851756949431955e-104 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
z |
z |
(*.f64 y x) |
(*.f64 x (neg.f64 z)) |
| Outputs |
|---|
(*.f64 x (neg.f64 z)) |
(*.f64 y x) |
z |
(*.f64 y x) |
(*.f64 x (neg.f64 z)) |
(*.f64 y x) |
3 calls:
| 46.0ms | x |
| 31.0ms | z |
| 31.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 18.6b | 6 | x |
| 27.0b | 3 | y |
| 20.5b | 3 | z |
Compiled 24 to 15 computations (37.5% saved)
| 5× | binary-search |
| Time | Left | Right |
|---|---|---|
| 59.0ms | 3.777973998362889e+164 | 3.1730964147931592e+168 |
| 93.0ms | 1.722178985279387e+78 | 2.258248359315031e+79 |
| 33.0ms | 1.116453541673691e-81 | 1.3769338521398656e-77 |
| 36.0ms | -4.31021343222209e-68 | -3.099895175080109e-68 |
| 208.0ms | -2.0434941177387504e+55 | -5.473365373922591e+51 |
Compiled 348 to 255 computations (26.7% saved)
| Inputs |
|---|
z |
z |
(*.f64 y x) |
| Outputs |
|---|
z |
(*.f64 y x) |
z |
3 calls:
| 29.0ms | z |
| 28.0ms | y |
| 22.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 22.4b | 3 | x |
| 27.0b | 3 | y |
| 20.5b | 3 | z |
Compiled 20 to 13 computations (35% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 35.0ms | 5.883759852816575e-81 | 2.0582058506493217e-80 |
| 35.0ms | -4.882699287378141e-66 | -1.6232422842111678e-71 |
Compiled 18 to 13 computations (27.8% saved)
Total -0.0b remaining (-0%)
Threshold costs -0.0b (-0%)
| Inputs |
|---|
z |
z |
| Outputs |
|---|
z |
3 calls:
| 49.0ms | z |
| 12.0ms | x |
| 7.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 33.6b | 1 | x |
| 33.6b | 1 | y |
| 33.6b | 1 | z |
Compiled 17 to 12 computations (29.4% saved)
| 1× | egg-herbie |
| 7× | *-commutative_binary64 |
| 6× | +-commutative_binary64 |
| 5× | sub-neg_binary64 |
| 3× | neg-sub0_binary64 |
| 3× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 155 |
| 1 | 56 | 155 |
| 2 | 66 | 155 |
| 3 | 71 | 155 |
| 4 | 74 | 155 |
| 5 | 75 | 155 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 x (-.f64 y z) z) |
(+.f64 (*.f64 (-.f64 y z) x) z) |
(if (<=.f64 z -4631576179532349/948568795032094272909893509191171341133987714380927500611236528192824358010355712) (-.f64 z (*.f64 z x)) (if (<=.f64 z 12567634768088126/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (*.f64 (-.f64 y z) x) (-.f64 z (*.f64 z x)))) |
(if (<=.f64 z -1274284555477081/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896) (-.f64 z (*.f64 z x)) (if (<=.f64 z 12567634768088126/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (*.f64 y x) (-.f64 z (*.f64 z x)))) |
(if (<=.f64 x -20000000000000000204701340408171022992608776270649491456) (*.f64 x (neg.f64 z)) (if (<=.f64 x -5233323471019591/121416805764108066932466369176469931665150427440758720078238275608681517825325531136) (*.f64 y x) (if (<=.f64 x 4769460582445979/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152) z (if (<=.f64 x 1750000000000000066285854925244669025603309322965034358526744230779265314979840) (*.f64 y x) (if (<=.f64 x 3099999999999999962565133111985684888028358148507104301188320506558789226313289354161696916966459646253263846345358262699570307852754555331089856516083683044653206077440) (*.f64 x (neg.f64 z)) (*.f64 y x)))))) |
(if (<=.f64 z -4631576179532349/948568795032094272909893509191171341133987714380927500611236528192824358010355712) z (if (<=.f64 z 12567634768088126/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (*.f64 y x) z)) |
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 z -4631576179532349/948568795032094272909893509191171341133987714380927500611236528192824358010355712) (-.f64 z (*.f64 z x)) (if (<=.f64 z 12567634768088126/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (*.f64 (-.f64 y z) x) (-.f64 z (*.f64 z x)))) |
(if (<=.f64 z -4631576179532349/948568795032094272909893509191171341133987714380927500611236528192824358010355712) (-.f64 z (*.f64 x z)) (if (<=.f64 z 6283817384044063/1067993517960455041197510853084776057301352261178326384973520803911109862890320275011481043468288) (*.f64 x (-.f64 y z)) (-.f64 z (*.f64 x z)))) |
(if (<=.f64 z -1274284555477081/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896) (-.f64 z (*.f64 z x)) (if (<=.f64 z 12567634768088126/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (*.f64 y x) (-.f64 z (*.f64 z x)))) |
(if (<=.f64 z -1274284555477081/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896) (-.f64 z (*.f64 x z)) (if (<=.f64 z 6283817384044063/1067993517960455041197510853084776057301352261178326384973520803911109862890320275011481043468288) (*.f64 x y) (-.f64 z (*.f64 x z)))) |
(if (<=.f64 x -20000000000000000204701340408171022992608776270649491456) (*.f64 x (neg.f64 z)) (if (<=.f64 x -5233323471019591/121416805764108066932466369176469931665150427440758720078238275608681517825325531136) (*.f64 y x) (if (<=.f64 x 4769460582445979/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152) z (if (<=.f64 x 1750000000000000066285854925244669025603309322965034358526744230779265314979840) (*.f64 y x) (if (<=.f64 x 3099999999999999962565133111985684888028358148507104301188320506558789226313289354161696916966459646253263846345358262699570307852754555331089856516083683044653206077440) (*.f64 x (neg.f64 z)) (*.f64 y x)))))) |
(if (<=.f64 x -20000000000000000204701340408171022992608776270649491456) (*.f64 x (neg.f64 z)) (if (<=.f64 x -5233323471019591/121416805764108066932466369176469931665150427440758720078238275608681517825325531136) (*.f64 x y) (if (<=.f64 x 4769460582445979/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152) z (if (<=.f64 x 1750000000000000066285854925244669025603309322965034358526744230779265314979840) (*.f64 x y) (if (<=.f64 x 3099999999999999962565133111985684888028358148507104301188320506558789226313289354161696916966459646253263846345358262699570307852754555331089856516083683044653206077440) (*.f64 x (neg.f64 z)) (*.f64 x y)))))) |
(if (<=.f64 x -20000000000000000204701340408171022992608776270649491456) (*.f64 z (neg.f64 x)) (if (<=.f64 x -5233323471019591/121416805764108066932466369176469931665150427440758720078238275608681517825325531136) (*.f64 x y) (if (<=.f64 x 4769460582445979/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152) z (if (<=.f64 x 1750000000000000066285854925244669025603309322965034358526744230779265314979840) (*.f64 x y) (if (<=.f64 x 3099999999999999962565133111985684888028358148507104301188320506558789226313289354161696916966459646253263846345358262699570307852754555331089856516083683044653206077440) (*.f64 z (neg.f64 x)) (*.f64 x y)))))) |
(if (<=.f64 z -4631576179532349/948568795032094272909893509191171341133987714380927500611236528192824358010355712) z (if (<=.f64 z 12567634768088126/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (*.f64 y x) z)) |
(if (<=.f64 z -4631576179532349/948568795032094272909893509191171341133987714380927500611236528192824358010355712) z (if (<=.f64 z 6283817384044063/1067993517960455041197510853084776057301352261178326384973520803911109862890320275011481043468288) (*.f64 x y) z)) |
z |
Compiled 130 to 70 computations (46.2% 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 112 to 45 computations (59.8% saved)
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