Time bar (total: 3.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 5 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 6 |
| 12.5% | 12.5% | 87.4% | 0.1% | 0% | 0% | 0% | 7 |
| 18.8% | 18.7% | 81.1% | 0.1% | 0% | 0% | 0% | 8 |
| 25.8% | 25% | 71.8% | 0.1% | 3.1% | 0% | 0% | 9 |
| 36.4% | 34.3% | 60.1% | 0.1% | 5.5% | 0% | 0% | 10 |
| 44.5% | 41.3% | 51.5% | 0.1% | 7% | 0% | 0% | 11 |
| 51.5% | 46.8% | 44.1% | 0.1% | 9% | 0% | 0% | 12 |
Compiled 13 to 9 computations (30.8% saved)
| 1.5s | 8256× | body | 256 | valid |
| 241.0ms | 1321× | body | 256 | infinite |
| 2× | egg-herbie |
| 937× | fma-neg_binary64 |
| 564× | fma-def_binary64 |
| 322× | cancel-sign-sub-inv_binary64 |
| 129× | associate--r+_binary64 |
| 126× | distribute-rgt-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 44 |
| 1 | 42 | 44 |
| 2 | 71 | 44 |
| 3 | 124 | 40 |
| 4 | 195 | 40 |
| 5 | 276 | 40 |
| 6 | 420 | 40 |
| 7 | 665 | 40 |
| 8 | 1439 | 40 |
| 9 | 2619 | 40 |
| 10 | 3083 | 40 |
| 11 | 3338 | 40 |
| 12 | 3355 | 40 |
| 13 | 3355 | 40 |
| 0 | 3 | 3 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
1 |
2 |
| Outputs |
|---|
0 |
1 |
2 |
| Inputs |
|---|
(+.f64 (*.f64 x y) (*.f64 (-.f64 x 1) z)) |
(+.f64 (*.f64 y x) (*.f64 (-.f64 y 1) z)) |
(+.f64 (*.f64 z y) (*.f64 (-.f64 z 1) x)) |
(+.f64 (*.f64 x z) (*.f64 (-.f64 x 1) y)) |
| Outputs |
|---|
(+.f64 (*.f64 x y) (*.f64 (-.f64 x 1) z)) |
(fma.f64 x y (*.f64 (+.f64 x -1) z)) |
(fma.f64 (+.f64 x -1) z (*.f64 x y)) |
(-.f64 (*.f64 x (+.f64 z y)) z) |
(-.f64 (*.f64 x (+.f64 y z)) z) |
(fma.f64 x (+.f64 y z) (neg.f64 z)) |
(+.f64 (*.f64 y x) (*.f64 (-.f64 y 1) z)) |
(fma.f64 y x (*.f64 z (+.f64 y -1))) |
(fma.f64 x y (*.f64 z (+.f64 y -1))) |
(-.f64 (*.f64 y (+.f64 x z)) z) |
(fma.f64 y (+.f64 x z) (neg.f64 z)) |
(+.f64 (*.f64 z y) (*.f64 (-.f64 z 1) x)) |
(fma.f64 z y (*.f64 x (+.f64 z -1))) |
(fma.f64 x (+.f64 z -1) (*.f64 y z)) |
(-.f64 (*.f64 z (+.f64 y x)) x) |
(fma.f64 z (+.f64 x y) (neg.f64 x)) |
(-.f64 (*.f64 z (+.f64 x y)) x) |
(+.f64 (*.f64 x z) (*.f64 (-.f64 x 1) y)) |
(fma.f64 x z (*.f64 y (+.f64 x -1))) |
(-.f64 (*.f64 x (+.f64 z y)) y) |
(fma.f64 x (+.f64 y z) (neg.f64 y)) |
Compiled 15 to 11 computations (26.7% saved)
| 1× | egg-herbie |
| 299× | fma-neg_binary64 |
| 252× | fma-def_binary64 |
| 95× | cancel-sign-sub-inv_binary64 |
| 43× | distribute-rgt-neg-in_binary64 |
| 42× | associate--r+_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 11 |
| 1 | 18 | 11 |
| 2 | 28 | 11 |
| 3 | 46 | 10 |
| 4 | 65 | 10 |
| 5 | 90 | 10 |
| 6 | 140 | 10 |
| 7 | 224 | 10 |
| 8 | 477 | 10 |
| 9 | 849 | 10 |
| 10 | 1137 | 10 |
| 11 | 1228 | 10 |
| 12 | 1233 | 10 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (*.f64 x y) (*.f64 (-.f64 x 1) z)) |
| Outputs |
|---|
(+.f64 (*.f64 x y) (*.f64 (-.f64 x 1) z)) |
(fma.f64 x y (*.f64 (-.f64 x 1) z)) |
(fma.f64 x y (*.f64 (+.f64 x -1) z)) |
(-.f64 (*.f64 x (+.f64 y z)) z) |
Compiled 19 to 11 computations (42.1% 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 | (-.f64 (*.f64 x (+.f64 y z)) z) |
| ▶ | 0.0b | (+.f64 (*.f64 x y) (*.f64 (-.f64 x 1) z)) |
Compiled 22 to 14 computations (36.4% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 x y) (*.f64 (-.f64 x 1) z)) |
| ✓ | 0.0b | (*.f64 (-.f64 x 1) z) |
Compiled 27 to 14 computations (48.1% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | z | @ | 0 | (*.f64 (-.f64 x 1) z) |
| 1.0ms | z | @ | 0 | (+.f64 (*.f64 x y) (*.f64 (-.f64 x 1) z)) |
| 1.0ms | z | @ | inf | (*.f64 (-.f64 x 1) z) |
| 1.0ms | x | @ | 0 | (*.f64 (-.f64 x 1) z) |
| 1.0ms | x | @ | -inf | (*.f64 (-.f64 x 1) z) |
| 1× | batch-egg-rewrite |
| 465× | log-prod_binary64 |
| 414× | prod-exp_binary64 |
| 376× | fma-def_binary64 |
| 353× | pow-prod-down_binary64 |
| 343× | exp-prod_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 18 |
| 1 | 194 | 18 |
| 2 | 2654 | 18 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (-.f64 x 1) z) |
(+.f64 (*.f64 x y) (*.f64 (-.f64 x 1) z)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 x -1) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x z) (*.f64 -1 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z x) (*.f64 z -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x -1)) z)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x -1)) z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x -1)) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x -1)) z))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x -1) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 3) -1) z) (+.f64 (fma.f64 x x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1) z) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (+.f64 (pow.f64 x 3) -1)) (+.f64 (fma.f64 x x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (fma.f64 x x -1)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 x -1) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 (+.f64 x -1) z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 x -1) z) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 x -1) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 x -1) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 x -1) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (+.f64 x -1) z))) 2)) (cbrt.f64 (log.f64 (*.f64 (+.f64 x -1) z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 x -1) z)))) (sqrt.f64 (log.f64 (*.f64 (+.f64 x -1) z))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 x -1) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 x -1)) z))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 x -1) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 x -1) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 x -1) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 x -1) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 x -1) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x -1) z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (+.f64 x -1) z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 x -1) z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (+.f64 x -1) z) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (+.f64 x -1) z)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (+.f64 x -1) z)) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 x -1)) 1) (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (+.f64 x -1)) (*.f64 (log.f64 z) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 x -1)) 1) (*.f64 (log.f64 z) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 z) 1) (log.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 z) (*.f64 (log.f64 (+.f64 x -1)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 z) 1) (*.f64 (log.f64 (+.f64 x -1)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x z (*.f64 -1 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z x (*.f64 z -1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x y (*.f64 (+.f64 x -1) z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 x y) 2) (-.f64 (*.f64 x y) (*.f64 (+.f64 x -1) z))) (/.f64 (pow.f64 (*.f64 (+.f64 x -1) z) 2) (-.f64 (*.f64 x y) (*.f64 (+.f64 x -1) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x y (*.f64 (+.f64 x -1) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x y (*.f64 (+.f64 x -1) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x y (*.f64 (+.f64 x -1) z))) (pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 (+.f64 x -1) z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 (+.f64 x -1) z))) 2) (cbrt.f64 (fma.f64 x y (*.f64 (+.f64 x -1) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x y (*.f64 (+.f64 x -1) z))) (sqrt.f64 (fma.f64 x y (*.f64 (+.f64 x -1) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 (+.f64 x -1) z) 3)) (/.f64 1 (fma.f64 (*.f64 (+.f64 x -1) z) (-.f64 (*.f64 (+.f64 x -1) z) (*.f64 x y)) (pow.f64 (*.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (*.f64 (+.f64 x -1) z) 2)) (/.f64 1 (-.f64 (*.f64 x y) (*.f64 (+.f64 x -1) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 (+.f64 x -1) z) (-.f64 (*.f64 (+.f64 x -1) z) (*.f64 x y)) (pow.f64 (*.f64 x y) 2)) (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 (+.f64 x -1) z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 x y) (*.f64 (+.f64 x -1) z)) (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (*.f64 (+.f64 x -1) z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 (+.f64 x -1) z) 3)) (fma.f64 (*.f64 (+.f64 x -1) z) (-.f64 (*.f64 (+.f64 x -1) z) (*.f64 x y)) (pow.f64 (*.f64 x y) 2)))))) (#(struct:change #<rule 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(fma.f64 x y (*.f64 (+.f64 x -1) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (fma.f64 x y (*.f64 (+.f64 x -1) z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x y (*.f64 (+.f64 x -1) z)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x y (*.f64 (+.f64 x -1) z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 (+.f64 x -1) z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x y (*.f64 (+.f64 x -1) z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 (+.f64 x -1) z) (-.f64 (*.f64 (+.f64 x -1) z) (*.f64 x y)) (pow.f64 (*.f64 x y) 2)) (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 (+.f64 x -1) z) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (*.f64 x y) (*.f64 (+.f64 x -1) z)) (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (*.f64 (+.f64 x -1) 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 x -1) z)))) 2)) (cbrt.f64 (log.f64 (fma.f64 x y (*.f64 (+.f64 x -1) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x y (*.f64 (+.f64 x -1) z))))) (sqrt.f64 (log.f64 (fma.f64 x y (*.f64 (+.f64 x -1) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x y (*.f64 (+.f64 x -1) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x y (*.f64 (+.f64 x -1) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x y (*.f64 (+.f64 x -1) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 x -1) z))) (pow.f64 (exp.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 x -1)) z) (+.f64 1 (expm1.f64 (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 x -1) 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 x -1)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 x) y) (+.f64 1 (expm1.f64 (*.f64 (+.f64 x -1) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x y))) (+.f64 1 (expm1.f64 (*.f64 (+.f64 x -1) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x y (*.f64 (+.f64 x -1) z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x y (*.f64 (+.f64 x -1) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x y (*.f64 (+.f64 x -1) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x y (*.f64 (+.f64 x -1) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x y (*.f64 (+.f64 x -1) z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x y (*.f64 (+.f64 x -1) z)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x y (*.f64 (+.f64 x -1) z)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x y (*.f64 (+.f64 x -1) z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x y (*.f64 (+.f64 x -1) z))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y (*.f64 (+.f64 x -1) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (+.f64 x -1) z) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x y) (*.f64 (+.f64 x -1) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x -1) z (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z (+.f64 x -1) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 x -1) z) 1 (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x (*.f64 (+.f64 x -1) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x y) 1 (*.f64 (+.f64 x -1) 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 x -1) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (cbrt.f64 (*.f64 x y)) (*.f64 (+.f64 x -1) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (+.f64 x -1)) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) y) (*.f64 (+.f64 x -1) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (+.f64 x -1) z)) (pow.f64 (cbrt.f64 (*.f64 (+.f64 x -1) z)) 2) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x -1) z)) 2) (cbrt.f64 (*.f64 (+.f64 x -1) z)) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) x) (*.f64 (+.f64 x -1) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (*.f64 (cbrt.f64 (+.f64 x -1)) 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 x -1) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (+.f64 x -1)) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 (+.f64 x -1) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (+.f64 x -1) z)) (sqrt.f64 (*.f64 (+.f64 x -1) z)) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 (+.f64 x -1) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x -1)) (*.f64 (sqrt.f64 (+.f64 x -1)) 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 x -1) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (+.f64 x -1) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (*.f64 (+.f64 x -1) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (+.f64 x -1) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 x -1) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 x -1) (sqrt.f64 z)) (sqrt.f64 z) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (cbrt.f64 (+.f64 x -1)) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (sqrt.f64 (+.f64 x -1))) (sqrt.f64 (+.f64 x -1)) (*.f64 x y)))))) |
| 1× | egg-herbie |
| 256× | fma-neg_binary64 |
| 216× | fma-def_binary64 |
| 92× | cancel-sign-sub-inv_binary64 |
| 57× | distribute-rgt-in_binary64 |
| 46× | distribute-lft-in_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 406 |
| 1 | 54 | 394 |
| 2 | 120 | 394 |
| 3 | 298 | 394 |
| 4 | 693 | 394 |
| 5 | 1119 | 394 |
| 6 | 1324 | 394 |
| 7 | 1347 | 394 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 -1 z) |
(+.f64 (*.f64 -1 z) (*.f64 z x)) |
(+.f64 (*.f64 -1 z) (*.f64 z x)) |
(+.f64 (*.f64 -1 z) (*.f64 z x)) |
(*.f64 z x) |
(+.f64 (*.f64 -1 z) (*.f64 z x)) |
(+.f64 (*.f64 -1 z) (*.f64 z x)) |
(+.f64 (*.f64 -1 z) (*.f64 z x)) |
(*.f64 z x) |
(+.f64 (*.f64 -1 z) (*.f64 z x)) |
(+.f64 (*.f64 -1 z) (*.f64 z x)) |
(+.f64 (*.f64 -1 z) (*.f64 z x)) |
(*.f64 -1 z) |
(+.f64 (*.f64 (+.f64 y z) x) (*.f64 -1 z)) |
(+.f64 (*.f64 (+.f64 y z) x) (*.f64 -1 z)) |
(+.f64 (*.f64 (+.f64 y z) x) (*.f64 -1 z)) |
(*.f64 (+.f64 y z) x) |
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 y z) x)) |
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 y z) x)) |
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 y z) x)) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 z) (*.f64 -1 y)) x)) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 z) (*.f64 -1 y)) x))) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 z) (*.f64 -1 y)) x))) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 z) (*.f64 -1 y)) x))) |
(*.f64 (-.f64 x 1) z) |
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z)) |
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z)) |
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z)) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z)) |
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z)) |
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z)) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z)) |
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z)) |
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z)) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z)) |
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z)) |
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z)) |
(*.f64 (-.f64 x 1) z) |
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z)) |
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z)) |
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z)) |
(*.f64 (-.f64 x 1) z) |
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z)) |
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z)) |
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z)) |
| Outputs |
|---|
(*.f64 -1 z) |
(neg.f64 z) |
(+.f64 (*.f64 -1 z) (*.f64 z x)) |
(fma.f64 -1 z (*.f64 z x)) |
(*.f64 z (+.f64 -1 x)) |
(-.f64 (*.f64 z x) z) |
(fma.f64 z x (neg.f64 z)) |
(+.f64 (*.f64 -1 z) (*.f64 z x)) |
(fma.f64 -1 z (*.f64 z x)) |
(*.f64 z (+.f64 -1 x)) |
(-.f64 (*.f64 z x) z) |
(fma.f64 z x (neg.f64 z)) |
(+.f64 (*.f64 -1 z) (*.f64 z x)) |
(fma.f64 -1 z (*.f64 z x)) |
(*.f64 z (+.f64 -1 x)) |
(-.f64 (*.f64 z x) z) |
(fma.f64 z x (neg.f64 z)) |
(*.f64 z x) |
(+.f64 (*.f64 -1 z) (*.f64 z x)) |
(fma.f64 -1 z (*.f64 z x)) |
(*.f64 z (+.f64 -1 x)) |
(-.f64 (*.f64 z x) z) |
(fma.f64 z x (neg.f64 z)) |
(+.f64 (*.f64 -1 z) (*.f64 z x)) |
(fma.f64 -1 z (*.f64 z x)) |
(*.f64 z (+.f64 -1 x)) |
(-.f64 (*.f64 z x) z) |
(fma.f64 z x (neg.f64 z)) |
(+.f64 (*.f64 -1 z) (*.f64 z x)) |
(fma.f64 -1 z (*.f64 z x)) |
(*.f64 z (+.f64 -1 x)) |
(-.f64 (*.f64 z x) z) |
(fma.f64 z x (neg.f64 z)) |
(*.f64 z x) |
(+.f64 (*.f64 -1 z) (*.f64 z x)) |
(fma.f64 -1 z (*.f64 z x)) |
(*.f64 z (+.f64 -1 x)) |
(-.f64 (*.f64 z x) z) |
(fma.f64 z x (neg.f64 z)) |
(+.f64 (*.f64 -1 z) (*.f64 z x)) |
(fma.f64 -1 z (*.f64 z x)) |
(*.f64 z (+.f64 -1 x)) |
(-.f64 (*.f64 z x) z) |
(fma.f64 z x (neg.f64 z)) |
(+.f64 (*.f64 -1 z) (*.f64 z x)) |
(fma.f64 -1 z (*.f64 z x)) |
(*.f64 z (+.f64 -1 x)) |
(-.f64 (*.f64 z x) z) |
(fma.f64 z x (neg.f64 z)) |
(*.f64 -1 z) |
(neg.f64 z) |
(+.f64 (*.f64 (+.f64 y z) x) (*.f64 -1 z)) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(-.f64 (*.f64 x (+.f64 z y)) z) |
(+.f64 (*.f64 (+.f64 y z) x) (*.f64 -1 z)) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(-.f64 (*.f64 x (+.f64 z y)) z) |
(+.f64 (*.f64 (+.f64 y z) x) (*.f64 -1 z)) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(-.f64 (*.f64 x (+.f64 z y)) z) |
(*.f64 (+.f64 y z) x) |
(*.f64 x (+.f64 z y)) |
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 y z) x)) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(-.f64 (*.f64 x (+.f64 z y)) z) |
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 y z) x)) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(-.f64 (*.f64 x (+.f64 z y)) z) |
(+.f64 (*.f64 -1 z) (*.f64 (+.f64 y z) x)) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(-.f64 (*.f64 x (+.f64 z y)) z) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 z) (*.f64 -1 y)) x)) |
(*.f64 x (+.f64 z y)) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 z) (*.f64 -1 y)) x))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(-.f64 (*.f64 x (+.f64 z y)) z) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 z) (*.f64 -1 y)) x))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(-.f64 (*.f64 x (+.f64 z y)) z) |
(+.f64 (*.f64 -1 z) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 z) (*.f64 -1 y)) x))) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(-.f64 (*.f64 x (+.f64 z y)) z) |
(*.f64 (-.f64 x 1) z) |
(fma.f64 -1 z (*.f64 z x)) |
(*.f64 z (+.f64 -1 x)) |
(-.f64 (*.f64 z x) z) |
(fma.f64 z x (neg.f64 z)) |
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z)) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(-.f64 (*.f64 x (+.f64 z y)) z) |
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z)) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(-.f64 (*.f64 x (+.f64 z y)) z) |
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z)) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(-.f64 (*.f64 x (+.f64 z y)) z) |
(*.f64 y x) |
(*.f64 x y) |
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z)) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(-.f64 (*.f64 x (+.f64 z y)) z) |
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z)) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(-.f64 (*.f64 x (+.f64 z y)) z) |
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z)) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(-.f64 (*.f64 x (+.f64 z y)) z) |
(*.f64 y x) |
(*.f64 x y) |
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z)) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(-.f64 (*.f64 x (+.f64 z y)) z) |
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z)) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(-.f64 (*.f64 x (+.f64 z y)) z) |
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z)) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(-.f64 (*.f64 x (+.f64 z y)) z) |
(*.f64 y x) |
(*.f64 x y) |
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z)) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(-.f64 (*.f64 x (+.f64 z y)) z) |
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z)) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(-.f64 (*.f64 x (+.f64 z y)) z) |
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z)) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(-.f64 (*.f64 x (+.f64 z y)) z) |
(*.f64 (-.f64 x 1) z) |
(fma.f64 -1 z (*.f64 z x)) |
(*.f64 z (+.f64 -1 x)) |
(-.f64 (*.f64 z x) z) |
(fma.f64 z x (neg.f64 z)) |
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z)) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(-.f64 (*.f64 x (+.f64 z y)) z) |
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z)) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(-.f64 (*.f64 x (+.f64 z y)) z) |
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z)) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(-.f64 (*.f64 x (+.f64 z y)) z) |
(*.f64 (-.f64 x 1) z) |
(fma.f64 -1 z (*.f64 z x)) |
(*.f64 z (+.f64 -1 x)) |
(-.f64 (*.f64 z x) z) |
(fma.f64 z x (neg.f64 z)) |
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z)) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(-.f64 (*.f64 x (+.f64 z y)) z) |
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z)) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(-.f64 (*.f64 x (+.f64 z y)) z) |
(+.f64 (*.f64 y x) (*.f64 (-.f64 x 1) z)) |
(fma.f64 (+.f64 z y) x (neg.f64 z)) |
(-.f64 (*.f64 x (+.f64 z y)) z) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 x (+.f64 y z)) |
Compiled 21 to 6 computations (71.4% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (*.f64 x (+.f64 y z)) |
| 0.0ms | x | @ | inf | (*.f64 x (+.f64 y z)) |
| 0.0ms | x | @ | -inf | (*.f64 x (+.f64 y z)) |
| 0.0ms | y | @ | inf | (*.f64 x (+.f64 y z)) |
| 0.0ms | z | @ | -inf | (*.f64 x (+.f64 y z)) |
| 1× | batch-egg-rewrite |
| 779× | pow1_binary64 |
| 725× | add-log-exp_binary64 |
| 725× | log1p-expm1-u_binary64 |
| 725× | expm1-log1p-u_binary64 |
| 706× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 134 | 7 |
| 2 | 1983 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x (+.f64 y z)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) (*.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x z) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x y) 1) (*.f64 (*.f64 x z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (+.f64 y z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 x z) 3)) (+.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (-.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (*.f64 (*.f64 x y) (*.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (*.f64 x z) (*.f64 x z))) (-.f64 (*.f64 x y) (*.f64 x z)))))) (#(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 z y))))))) (#(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 z y))))))) (#(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 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 (pow.f64 (exp.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 cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 y z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 y z) 3) (pow.f64 x 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))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y (*.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x (*.f64 x z)))))) |
| 1× | egg-herbie |
| 4× | fma-def_binary64 |
| 3× | *-commutative_binary64 |
| 2× | +-commutative_binary64 |
| 1× | distribute-rgt-out_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 234 |
| 1 | 16 | 234 |
| 2 | 19 | 234 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (+.f64 y z) x) |
(*.f64 (+.f64 y z) x) |
(*.f64 (+.f64 y z) x) |
(*.f64 (+.f64 y z) x) |
(*.f64 (+.f64 y z) x) |
(*.f64 (+.f64 y z) x) |
(*.f64 (+.f64 y z) x) |
(*.f64 (+.f64 y z) x) |
(*.f64 (+.f64 y z) x) |
(*.f64 (+.f64 y z) x) |
(*.f64 (+.f64 y z) x) |
(*.f64 (+.f64 y z) x) |
(*.f64 z x) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(*.f64 y x) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(*.f64 y x) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(*.f64 y x) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(*.f64 z x) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(*.f64 z x) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
| Outputs |
|---|
(*.f64 (+.f64 y z) x) |
(*.f64 (+.f64 y z) x) |
(*.f64 (+.f64 y z) x) |
(*.f64 (+.f64 y z) x) |
(*.f64 (+.f64 y z) x) |
(*.f64 (+.f64 y z) x) |
(*.f64 (+.f64 y z) x) |
(*.f64 (+.f64 y z) x) |
(*.f64 (+.f64 y z) x) |
(*.f64 (+.f64 y z) x) |
(*.f64 (+.f64 y z) x) |
(*.f64 (+.f64 y z) x) |
(*.f64 z x) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(*.f64 (+.f64 y z) x) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(*.f64 (+.f64 y z) x) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(*.f64 (+.f64 y z) x) |
(*.f64 y x) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(*.f64 (+.f64 y z) x) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(*.f64 (+.f64 y z) x) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(*.f64 (+.f64 y z) x) |
(*.f64 y x) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(*.f64 (+.f64 y z) x) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(*.f64 (+.f64 y z) x) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(*.f64 (+.f64 y z) x) |
(*.f64 y x) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(*.f64 (+.f64 y z) x) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(*.f64 (+.f64 y z) x) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(*.f64 (+.f64 y z) x) |
(*.f64 z x) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(*.f64 (+.f64 y z) x) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(*.f64 (+.f64 y z) x) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(*.f64 (+.f64 y z) x) |
(*.f64 z x) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(*.f64 (+.f64 y z) x) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(*.f64 (+.f64 y z) x) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(*.f64 (+.f64 y z) x) |
Compiled 2218 to 1193 computations (46.2% saved)
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 153 | 5 | 158 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 0 | 1 |
| Total | 155 | 5 | 160 |
| Status | Error | Program |
|---|---|---|
| ▶ | 28.8b | (*.f64 (+.f64 y z) x) |
| ▶ | 9.3b | (-.f64 (*.f64 y x) z) |
| ▶ | 28.8b | (+.f64 (*.f64 x y) (*.f64 z x)) |
| ▶ | 25.3b | (-.f64 (*.f64 z x) z) |
| ▶ | 37.5b | (*.f64 y x) |
Compiled 80 to 50 computations (37.5% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (*.f64 y x) z) |
Compiled 14 to 5 computations (64.3% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | 0 | (-.f64 (*.f64 y x) z) |
| 0.0ms | y | @ | inf | (-.f64 (*.f64 y x) z) |
| 0.0ms | y | @ | -inf | (-.f64 (*.f64 y x) z) |
| 0.0ms | x | @ | inf | (-.f64 (*.f64 y x) z) |
| 0.0ms | x | @ | -inf | (-.f64 (*.f64 y x) z) |
| 1× | batch-egg-rewrite |
| 717× | pow1_binary64 |
| 664× | add-log-exp_binary64 |
| 664× | log1p-expm1-u_binary64 |
| 664× | expm1-log1p-u_binary64 |
| 649× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 130 | 7 |
| 2 | 1784 | 7 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (*.f64 y x) z) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (*.f64 (neg.f64 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 y x) z) (fma.f64 (neg.f64 z) 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 y x) z) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 y x) z) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 z) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 y x) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (*.f64 y x) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 y x) z)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 y x) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 y x) z)) 2) (cbrt.f64 (-.f64 (*.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (*.f64 y x) z)) (sqrt.f64 (-.f64 (*.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 z 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 z (fma.f64 y x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 z z)) (/.f64 1 (fma.f64 y x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 z (fma.f64 y x z))) (-.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 z 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 y x z) (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 z 3)) (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 z (fma.f64 y x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 z z)) (fma.f64 y x z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 z 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 z (fma.f64 y x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 z z))) (neg.f64 (fma.f64 y x z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (neg.f64 z) 3)) (+.f64 (pow.f64 (*.f64 y x) 2) (-.f64 (*.f64 (neg.f64 z) (neg.f64 z)) (*.f64 (*.f64 y x) (neg.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (neg.f64 z) (neg.f64 z))) (-.f64 (*.f64 y x) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 y x) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 y x) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (*.f64 y x) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (*.f64 y x) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (*.f64 y x) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (*.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (*.f64 y x) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (*.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (*.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (*.f64 y x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y x) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (cbrt.f64 (*.f64 y x)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (neg.f64 z)))))) |
| 1× | egg-herbie |
| 90× | fma-def_binary64 |
| 61× | fma-neg_binary64 |
| 23× | cancel-sign-sub-inv_binary64 |
| 16× | unsub-neg_binary64 |
| 15× | distribute-rgt-neg-in_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 248 |
| 1 | 13 | 221 |
| 2 | 19 | 221 |
| 3 | 24 | 221 |
| 4 | 40 | 221 |
| 5 | 67 | 221 |
| 6 | 131 | 221 |
| 7 | 219 | 221 |
| 8 | 305 | 221 |
| 9 | 367 | 221 |
| 10 | 401 | 221 |
| 11 | 403 | 221 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 -1 z) |
(+.f64 (*.f64 -1 z) (*.f64 y x)) |
(+.f64 (*.f64 -1 z) (*.f64 y x)) |
(+.f64 (*.f64 -1 z) (*.f64 y x)) |
(*.f64 y x) |
(+.f64 (*.f64 -1 z) (*.f64 y x)) |
(+.f64 (*.f64 -1 z) (*.f64 y x)) |
(+.f64 (*.f64 -1 z) (*.f64 y x)) |
(*.f64 y x) |
(+.f64 (*.f64 -1 z) (*.f64 y x)) |
(+.f64 (*.f64 -1 z) (*.f64 y x)) |
(+.f64 (*.f64 -1 z) (*.f64 y x)) |
(*.f64 -1 z) |
(+.f64 (*.f64 -1 z) (*.f64 y x)) |
(+.f64 (*.f64 -1 z) (*.f64 y x)) |
(+.f64 (*.f64 -1 z) (*.f64 y x)) |
(*.f64 y x) |
(+.f64 (*.f64 -1 z) (*.f64 y x)) |
(+.f64 (*.f64 -1 z) (*.f64 y x)) |
(+.f64 (*.f64 -1 z) (*.f64 y x)) |
(*.f64 y x) |
(+.f64 (*.f64 -1 z) (*.f64 y x)) |
(+.f64 (*.f64 -1 z) (*.f64 y x)) |
(+.f64 (*.f64 -1 z) (*.f64 y x)) |
(*.f64 y x) |
(+.f64 (*.f64 -1 z) (*.f64 y x)) |
(+.f64 (*.f64 -1 z) (*.f64 y x)) |
(+.f64 (*.f64 -1 z) (*.f64 y x)) |
(*.f64 -1 z) |
(+.f64 (*.f64 -1 z) (*.f64 y x)) |
(+.f64 (*.f64 -1 z) (*.f64 y x)) |
(+.f64 (*.f64 -1 z) (*.f64 y x)) |
(*.f64 -1 z) |
(+.f64 (*.f64 -1 z) (*.f64 y x)) |
(+.f64 (*.f64 -1 z) (*.f64 y x)) |
(+.f64 (*.f64 -1 z) (*.f64 y x)) |
| Outputs |
|---|
(*.f64 -1 z) |
(neg.f64 z) |
(+.f64 (*.f64 -1 z) (*.f64 y x)) |
(fma.f64 -1 z (*.f64 y x)) |
(-.f64 (*.f64 y x) z) |
(+.f64 (*.f64 -1 z) (*.f64 y x)) |
(fma.f64 -1 z (*.f64 y x)) |
(-.f64 (*.f64 y x) z) |
(+.f64 (*.f64 -1 z) (*.f64 y x)) |
(fma.f64 -1 z (*.f64 y x)) |
(-.f64 (*.f64 y x) z) |
(*.f64 y x) |
(+.f64 (*.f64 -1 z) (*.f64 y x)) |
(fma.f64 -1 z (*.f64 y x)) |
(-.f64 (*.f64 y x) z) |
(+.f64 (*.f64 -1 z) (*.f64 y x)) |
(fma.f64 -1 z (*.f64 y x)) |
(-.f64 (*.f64 y x) z) |
(+.f64 (*.f64 -1 z) (*.f64 y x)) |
(fma.f64 -1 z (*.f64 y x)) |
(-.f64 (*.f64 y x) z) |
(*.f64 y x) |
(+.f64 (*.f64 -1 z) (*.f64 y x)) |
(fma.f64 -1 z (*.f64 y x)) |
(-.f64 (*.f64 y x) z) |
(+.f64 (*.f64 -1 z) (*.f64 y x)) |
(fma.f64 -1 z (*.f64 y x)) |
(-.f64 (*.f64 y x) z) |
(+.f64 (*.f64 -1 z) (*.f64 y x)) |
(fma.f64 -1 z (*.f64 y x)) |
(-.f64 (*.f64 y x) z) |
(*.f64 -1 z) |
(neg.f64 z) |
(+.f64 (*.f64 -1 z) (*.f64 y x)) |
(fma.f64 -1 z (*.f64 y x)) |
(-.f64 (*.f64 y x) z) |
(+.f64 (*.f64 -1 z) (*.f64 y x)) |
(fma.f64 -1 z (*.f64 y x)) |
(-.f64 (*.f64 y x) z) |
(+.f64 (*.f64 -1 z) (*.f64 y x)) |
(fma.f64 -1 z (*.f64 y x)) |
(-.f64 (*.f64 y x) z) |
(*.f64 y x) |
(+.f64 (*.f64 -1 z) (*.f64 y x)) |
(fma.f64 -1 z (*.f64 y x)) |
(-.f64 (*.f64 y x) z) |
(+.f64 (*.f64 -1 z) (*.f64 y x)) |
(fma.f64 -1 z (*.f64 y x)) |
(-.f64 (*.f64 y x) z) |
(+.f64 (*.f64 -1 z) (*.f64 y x)) |
(fma.f64 -1 z (*.f64 y x)) |
(-.f64 (*.f64 y x) z) |
(*.f64 y x) |
(+.f64 (*.f64 -1 z) (*.f64 y x)) |
(fma.f64 -1 z (*.f64 y x)) |
(-.f64 (*.f64 y x) z) |
(+.f64 (*.f64 -1 z) (*.f64 y x)) |
(fma.f64 -1 z (*.f64 y x)) |
(-.f64 (*.f64 y x) z) |
(+.f64 (*.f64 -1 z) (*.f64 y x)) |
(fma.f64 -1 z (*.f64 y x)) |
(-.f64 (*.f64 y x) z) |
(*.f64 y x) |
(+.f64 (*.f64 -1 z) (*.f64 y x)) |
(fma.f64 -1 z (*.f64 y x)) |
(-.f64 (*.f64 y x) z) |
(+.f64 (*.f64 -1 z) (*.f64 y x)) |
(fma.f64 -1 z (*.f64 y x)) |
(-.f64 (*.f64 y x) z) |
(+.f64 (*.f64 -1 z) (*.f64 y x)) |
(fma.f64 -1 z (*.f64 y x)) |
(-.f64 (*.f64 y x) z) |
(*.f64 -1 z) |
(neg.f64 z) |
(+.f64 (*.f64 -1 z) (*.f64 y x)) |
(fma.f64 -1 z (*.f64 y x)) |
(-.f64 (*.f64 y x) z) |
(+.f64 (*.f64 -1 z) (*.f64 y x)) |
(fma.f64 -1 z (*.f64 y x)) |
(-.f64 (*.f64 y x) z) |
(+.f64 (*.f64 -1 z) (*.f64 y x)) |
(fma.f64 -1 z (*.f64 y x)) |
(-.f64 (*.f64 y x) z) |
(*.f64 -1 z) |
(neg.f64 z) |
(+.f64 (*.f64 -1 z) (*.f64 y x)) |
(fma.f64 -1 z (*.f64 y x)) |
(-.f64 (*.f64 y x) z) |
(+.f64 (*.f64 -1 z) (*.f64 y x)) |
(fma.f64 -1 z (*.f64 y x)) |
(-.f64 (*.f64 y x) z) |
(+.f64 (*.f64 -1 z) (*.f64 y x)) |
(fma.f64 -1 z (*.f64 y x)) |
(-.f64 (*.f64 y x) 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)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | 0 | (*.f64 (+.f64 y z) x) |
| 0.0ms | y | @ | -inf | (*.f64 (+.f64 y z) x) |
| 0.0ms | y | @ | inf | (*.f64 (+.f64 y z) x) |
| 0.0ms | z | @ | -inf | (*.f64 (+.f64 y z) x) |
| 0.0ms | x | @ | inf | (*.f64 (+.f64 y z) x) |
| 1× | batch-egg-rewrite |
| 715× | pow1_binary64 |
| 663× | add-log-exp_binary64 |
| 663× | log1p-expm1-u_binary64 |
| 663× | expm1-log1p-u_binary64 |
| 648× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 128 | 7 |
| 2 | 1776 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (+.f64 y z) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z x) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) (*.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x z) (*.f64 x y))))) (#(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 z y))))))) (#(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 z y))))))) (#(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 (pow.f64 (*.f64 (+.f64 y z) x) 3) 1/3)))) (#(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 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 cbrt.f64 (*.f64 (pow.f64 (+.f64 y z) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 y z) 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 |
| 4× | fma-def_binary64 |
| 3× | *-commutative_binary64 |
| 2× | +-commutative_binary64 |
| 2× | distribute-rgt-out_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 150 |
| 1 | 13 | 150 |
| 2 | 19 | 150 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 z x) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(*.f64 y x) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(*.f64 y x) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(*.f64 y x) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(*.f64 z x) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(*.f64 z x) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
| Outputs |
|---|
(*.f64 z x) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(*.f64 x (+.f64 z y)) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(*.f64 x (+.f64 z y)) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(*.f64 x (+.f64 z y)) |
(*.f64 y x) |
(*.f64 x y) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(*.f64 x (+.f64 z y)) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(*.f64 x (+.f64 z y)) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(*.f64 x (+.f64 z y)) |
(*.f64 y x) |
(*.f64 x y) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(*.f64 x (+.f64 z y)) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(*.f64 x (+.f64 z y)) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(*.f64 x (+.f64 z y)) |
(*.f64 y x) |
(*.f64 x y) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(*.f64 x (+.f64 z y)) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(*.f64 x (+.f64 z y)) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(*.f64 x (+.f64 z y)) |
(*.f64 z x) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(*.f64 x (+.f64 z y)) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(*.f64 x (+.f64 z y)) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(*.f64 x (+.f64 z y)) |
(*.f64 z x) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(*.f64 x (+.f64 z y)) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(*.f64 x (+.f64 z y)) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(*.f64 x (+.f64 z y)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (*.f64 z x) z) |
Compiled 13 to 5 computations (61.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | 0 | (-.f64 (*.f64 z x) z) |
| 0.0ms | z | @ | inf | (-.f64 (*.f64 z x) z) |
| 0.0ms | z | @ | -inf | (-.f64 (*.f64 z x) z) |
| 0.0ms | x | @ | inf | (-.f64 (*.f64 z x) z) |
| 0.0ms | x | @ | -inf | (-.f64 (*.f64 z x) z) |
| 1× | batch-egg-rewrite |
| 628× | pow1_binary64 |
| 584× | add-log-exp_binary64 |
| 584× | log1p-expm1-u_binary64 |
| 584× | expm1-log1p-u_binary64 |
| 571× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 7 |
| 1 | 111 | 7 |
| 2 | 1573 | 7 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (*.f64 z x) z) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z x) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z x) (*.f64 (neg.f64 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 z x) z) (fma.f64 (neg.f64 z) 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 z x) z) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 z x) z) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 z) (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (-.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 z x) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (*.f64 z x) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 z x) z)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 z x) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 z x) z)) 2) (cbrt.f64 (-.f64 (*.f64 z x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (*.f64 z x) z)) (sqrt.f64 (-.f64 (*.f64 z x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 z x) 3) (pow.f64 z 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 z x) 2) (*.f64 z (fma.f64 z x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 z x) 2) (*.f64 z z)) (/.f64 1 (fma.f64 z x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 z x) 2) (*.f64 z (fma.f64 z x z))) (-.f64 (pow.f64 (*.f64 z x) 3) (pow.f64 z 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 z x z) (-.f64 (pow.f64 (*.f64 z x) 2) (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 z x) 3) (pow.f64 z 3)) (+.f64 (pow.f64 (*.f64 z x) 2) (*.f64 z (fma.f64 z x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 z x) 2) (*.f64 z z)) (fma.f64 z x z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z x) 3) (pow.f64 z 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 z x) 2) (*.f64 z (fma.f64 z x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z x) 2) (*.f64 z z))) (neg.f64 (fma.f64 z x z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 z x) 3) (pow.f64 (neg.f64 z) 3)) (+.f64 (pow.f64 (*.f64 z x) 2) (-.f64 (*.f64 (neg.f64 z) (neg.f64 z)) (*.f64 (*.f64 z x) (neg.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 z x) 2) (*.f64 (neg.f64 z) (neg.f64 z))) (-.f64 (*.f64 z x) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 z x) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 z x) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (*.f64 z x) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (*.f64 z x) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (*.f64 z x) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (*.f64 z x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (*.f64 z x) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (*.f64 z x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (*.f64 z x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (*.f64 z x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z x (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x z (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 z x) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) (cbrt.f64 (*.f64 z x)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 (*.f64 z x)) (neg.f64 z)))))) |
| 1× | egg-herbie |
| 82× | fma-def_binary64 |
| 58× | fma-neg_binary64 |
| 20× | associate-*r*_binary64 |
| 18× | unsub-neg_binary64 |
| 17× | associate-*l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 158 |
| 1 | 37 | 158 |
| 2 | 88 | 158 |
| 3 | 180 | 158 |
| 4 | 300 | 158 |
| 5 | 397 | 158 |
| 6 | 425 | 158 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (-.f64 x 1) z) |
(*.f64 (-.f64 x 1) z) |
(*.f64 (-.f64 x 1) z) |
(*.f64 (-.f64 x 1) z) |
(*.f64 (-.f64 x 1) z) |
(*.f64 (-.f64 x 1) z) |
(*.f64 (-.f64 x 1) z) |
(*.f64 (-.f64 x 1) z) |
(*.f64 -1 (*.f64 z (+.f64 1 (*.f64 -1 x)))) |
(*.f64 -1 (*.f64 z (+.f64 1 (*.f64 -1 x)))) |
(*.f64 -1 (*.f64 z (+.f64 1 (*.f64 -1 x)))) |
(*.f64 -1 (*.f64 z (+.f64 1 (*.f64 -1 x)))) |
(*.f64 -1 z) |
(+.f64 (*.f64 -1 z) (*.f64 z x)) |
(+.f64 (*.f64 -1 z) (*.f64 z x)) |
(+.f64 (*.f64 -1 z) (*.f64 z x)) |
(*.f64 z x) |
(+.f64 (*.f64 -1 z) (*.f64 z x)) |
(+.f64 (*.f64 -1 z) (*.f64 z x)) |
(+.f64 (*.f64 -1 z) (*.f64 z x)) |
(*.f64 z x) |
(+.f64 (*.f64 -1 z) (*.f64 z x)) |
(+.f64 (*.f64 -1 z) (*.f64 z x)) |
(+.f64 (*.f64 -1 z) (*.f64 z x)) |
| Outputs |
|---|
(*.f64 (-.f64 x 1) z) |
(*.f64 (+.f64 x -1) z) |
(-.f64 (*.f64 x z) z) |
(*.f64 (-.f64 x 1) z) |
(*.f64 (+.f64 x -1) z) |
(-.f64 (*.f64 x z) z) |
(*.f64 (-.f64 x 1) z) |
(*.f64 (+.f64 x -1) z) |
(-.f64 (*.f64 x z) z) |
(*.f64 (-.f64 x 1) z) |
(*.f64 (+.f64 x -1) z) |
(-.f64 (*.f64 x z) z) |
(*.f64 (-.f64 x 1) z) |
(*.f64 (+.f64 x -1) z) |
(-.f64 (*.f64 x z) z) |
(*.f64 (-.f64 x 1) z) |
(*.f64 (+.f64 x -1) z) |
(-.f64 (*.f64 x z) z) |
(*.f64 (-.f64 x 1) z) |
(*.f64 (+.f64 x -1) z) |
(-.f64 (*.f64 x z) z) |
(*.f64 (-.f64 x 1) z) |
(*.f64 (+.f64 x -1) z) |
(-.f64 (*.f64 x z) z) |
(*.f64 -1 (*.f64 z (+.f64 1 (*.f64 -1 x)))) |
(*.f64 (+.f64 x -1) z) |
(-.f64 (*.f64 x z) z) |
(*.f64 -1 (*.f64 z (+.f64 1 (*.f64 -1 x)))) |
(*.f64 (+.f64 x -1) z) |
(-.f64 (*.f64 x z) z) |
(*.f64 -1 (*.f64 z (+.f64 1 (*.f64 -1 x)))) |
(*.f64 (+.f64 x -1) z) |
(-.f64 (*.f64 x z) z) |
(*.f64 -1 (*.f64 z (+.f64 1 (*.f64 -1 x)))) |
(*.f64 (+.f64 x -1) z) |
(-.f64 (*.f64 x z) z) |
(*.f64 -1 z) |
(neg.f64 z) |
(+.f64 (*.f64 -1 z) (*.f64 z x)) |
(*.f64 (+.f64 x -1) z) |
(-.f64 (*.f64 x z) z) |
(+.f64 (*.f64 -1 z) (*.f64 z x)) |
(*.f64 (+.f64 x -1) z) |
(-.f64 (*.f64 x z) z) |
(+.f64 (*.f64 -1 z) (*.f64 z x)) |
(*.f64 (+.f64 x -1) z) |
(-.f64 (*.f64 x z) z) |
(*.f64 z x) |
(*.f64 x z) |
(+.f64 (*.f64 -1 z) (*.f64 z x)) |
(*.f64 (+.f64 x -1) z) |
(-.f64 (*.f64 x z) z) |
(+.f64 (*.f64 -1 z) (*.f64 z x)) |
(*.f64 (+.f64 x -1) z) |
(-.f64 (*.f64 x z) z) |
(+.f64 (*.f64 -1 z) (*.f64 z x)) |
(*.f64 (+.f64 x -1) z) |
(-.f64 (*.f64 x z) z) |
(*.f64 z x) |
(*.f64 x z) |
(+.f64 (*.f64 -1 z) (*.f64 z x)) |
(*.f64 (+.f64 x -1) z) |
(-.f64 (*.f64 x z) z) |
(+.f64 (*.f64 -1 z) (*.f64 z x)) |
(*.f64 (+.f64 x -1) z) |
(-.f64 (*.f64 x z) z) |
(+.f64 (*.f64 -1 z) (*.f64 z x)) |
(*.f64 (+.f64 x -1) z) |
(-.f64 (*.f64 x z) z) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 x y) (*.f64 z x)) |
Compiled 19 to 6 computations (68.4% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (+.f64 (*.f64 x y) (*.f64 z x)) |
| 0.0ms | x | @ | inf | (+.f64 (*.f64 x y) (*.f64 z x)) |
| 0.0ms | x | @ | -inf | (+.f64 (*.f64 x y) (*.f64 z x)) |
| 0.0ms | y | @ | 0 | (+.f64 (*.f64 x y) (*.f64 z x)) |
| 0.0ms | z | @ | -inf | (+.f64 (*.f64 x y) (*.f64 z x)) |
| 1× | batch-egg-rewrite |
| 817× | pow1_binary64 |
| 756× | add-log-exp_binary64 |
| 756× | log1p-expm1-u_binary64 |
| 756× | expm1-log1p-u_binary64 |
| 739× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 8 |
| 1 | 149 | 7 |
| 2 | 2060 | 7 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 x y) (*.f64 z x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (+.f64 y z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x (-.f64 y z))) (/.f64 (pow.f64 (*.f64 x z) 2) (*.f64 x (-.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 z y))))) (#(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 x y) 3) (pow.f64 (*.f64 x z) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (*.f64 x z) (-.f64 (*.f64 x z) (*.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (-.f64 y z))) (/.f64 1 (*.f64 x (-.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (*.f64 x z) (-.f64 (*.f64 x z) (*.f64 x y)))) (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 x z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x (-.f64 y z)) (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (-.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 x z) 3)) (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (*.f64 x z) (-.f64 (*.f64 x z) (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 x z) 3)) (+.f64 (pow.f64 (*.f64 x z) 2) (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (*.f64 x y) (*.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (-.f64 y z))) (*.f64 x (-.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 x z) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (*.f64 x z) (-.f64 (*.f64 x z) (*.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (-.f64 y z)))) (neg.f64 (*.f64 x (-.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x z) 2) (pow.f64 (*.f64 x y) 2)) (-.f64 (*.f64 x z) (*.f64 x y)))))) (#(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))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y (*.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x z (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x (*.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z x (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x y) (*.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x z) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x z)) 2) (cbrt.f64 (*.f64 x z)) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (cbrt.f64 (*.f64 x y)) (*.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x z)) (sqrt.f64 (*.f64 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 x z)))))) |
| 1× | egg-herbie |
| 90× | fma-neg_binary64 |
| 85× | fma-def_binary64 |
| 42× | cancel-sign-sub-inv_binary64 |
| 38× | distribute-rgt-in_binary64 |
| 34× | distribute-lft-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 234 |
| 1 | 35 | 234 |
| 2 | 81 | 234 |
| 3 | 211 | 234 |
| 4 | 435 | 234 |
| 5 | 568 | 234 |
| 6 | 678 | 234 |
| 7 | 683 | 234 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (+.f64 y z) x) |
(*.f64 (+.f64 y z) x) |
(*.f64 (+.f64 y z) x) |
(*.f64 (+.f64 y z) x) |
(*.f64 (+.f64 y z) x) |
(*.f64 (+.f64 y z) x) |
(*.f64 (+.f64 y z) x) |
(*.f64 (+.f64 y z) x) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 z) (*.f64 -1 y)) x)) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 z) (*.f64 -1 y)) x)) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 z) (*.f64 -1 y)) x)) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 z) (*.f64 -1 y)) x)) |
(*.f64 z x) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(*.f64 y x) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(*.f64 y x) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(*.f64 y x) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(*.f64 z x) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(*.f64 z x) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
| Outputs |
|---|
(*.f64 (+.f64 y z) x) |
(*.f64 (+.f64 y z) x) |
(*.f64 (+.f64 y z) x) |
(*.f64 (+.f64 y z) x) |
(*.f64 (+.f64 y z) x) |
(*.f64 (+.f64 y z) x) |
(*.f64 (+.f64 y z) x) |
(*.f64 (+.f64 y z) x) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 z) (*.f64 -1 y)) x)) |
(*.f64 (+.f64 y z) x) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 z) (*.f64 -1 y)) x)) |
(*.f64 (+.f64 y z) x) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 z) (*.f64 -1 y)) x)) |
(*.f64 (+.f64 y z) x) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 z) (*.f64 -1 y)) x)) |
(*.f64 (+.f64 y z) x) |
(*.f64 z x) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(*.f64 (+.f64 y z) x) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(*.f64 (+.f64 y z) x) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(*.f64 (+.f64 y z) x) |
(*.f64 y x) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(*.f64 (+.f64 y z) x) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(*.f64 (+.f64 y z) x) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(*.f64 (+.f64 y z) x) |
(*.f64 y x) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(*.f64 (+.f64 y z) x) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(*.f64 (+.f64 y z) x) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(*.f64 (+.f64 y z) x) |
(*.f64 y x) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(*.f64 (+.f64 y z) x) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(*.f64 (+.f64 y z) x) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(*.f64 (+.f64 y z) x) |
(*.f64 z x) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(*.f64 (+.f64 y z) x) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(*.f64 (+.f64 y z) x) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(*.f64 (+.f64 y z) x) |
(*.f64 z x) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(*.f64 (+.f64 y z) x) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(*.f64 (+.f64 y z) x) |
(+.f64 (*.f64 z x) (*.f64 y x)) |
(*.f64 (+.f64 y z) x) |
Compiled 1718 to 558 computations (67.5% saved)
7 alts after pruning (2 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 155 | 2 | 157 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 4 | 4 |
| Total | 155 | 7 | 162 |
| Status | Error | Program |
|---|---|---|
| ✓ | 28.8b | (+.f64 (*.f64 x y) (*.f64 z x)) |
| ▶ | 53.8b | (*.f64 z x) |
| ✓ | 28.8b | (*.f64 (+.f64 y z) x) |
| ✓ | 9.3b | (-.f64 (*.f64 y x) z) |
| ✓ | 25.3b | (-.f64 (*.f64 z x) z) |
| ▶ | 34.0b | (neg.f64 z) |
| ✓ | 37.5b | (*.f64 y x) |
Compiled 51 to 33 computations (35.3% saved)
Compiled 6 to 4 computations (33.3% saved)
Compiled 8 to 4 computations (50% saved)
Compiled 3 to 3 computations (0% saved)
7 alts after pruning (0 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 6 | 6 |
| Total | 0 | 7 | 7 |
| Status | Error | Program |
|---|---|---|
| ✓ | 28.8b | (+.f64 (*.f64 x y) (*.f64 z x)) |
| ✓ | 53.8b | (*.f64 z x) |
| ✓ | 28.8b | (*.f64 (+.f64 y z) x) |
| ✓ | 9.3b | (-.f64 (*.f64 y x) z) |
| ✓ | 25.3b | (-.f64 (*.f64 z x) z) |
| ✓ | 34.0b | (neg.f64 z) |
| ✓ | 37.5b | (*.f64 y x) |
Compiled 51 to 33 computations (35.3% saved)
| Inputs |
|---|
(neg.f64 z) |
(*.f64 z x) |
(*.f64 y x) |
(*.f64 (+.f64 y z) x) |
(-.f64 (*.f64 y x) z) |
(-.f64 (*.f64 z x) z) |
(+.f64 (*.f64 x y) (*.f64 z x)) |
(-.f64 (*.f64 x (+.f64 y z)) z) |
(+.f64 (*.f64 x y) (*.f64 (-.f64 x 1) z)) |
| Outputs |
|---|
(-.f64 (*.f64 x (+.f64 y z)) z) |
4 calls:
| 10.0ms | z |
| 7.0ms | x |
| 6.0ms | (+.f64 (*.f64 x y) (*.f64 (-.f64 x 1) z)) |
| 6.0ms | 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 x 1) z)) |
Compiled 73 to 35 computations (52.1% saved)
| Inputs |
|---|
(neg.f64 z) |
(*.f64 z x) |
(*.f64 y x) |
(*.f64 (+.f64 y z) x) |
(-.f64 (*.f64 y x) z) |
(-.f64 (*.f64 z x) z) |
(+.f64 (*.f64 x y) (*.f64 z x)) |
| Outputs |
|---|
(+.f64 (*.f64 x y) (*.f64 z x)) |
(-.f64 (*.f64 y x) z) |
(*.f64 (+.f64 y z) x) |
3 calls:
| 16.0ms | x |
| 15.0ms | z |
| 15.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 0.8b | 3 | x |
| 5.2b | 3 | y |
| 5.3b | 3 | z |
Compiled 45 to 21 computations (53.3% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 5.994000474764959e-6 | 0.00026611670553742216 |
| 18.0ms | -4.485755087952481 | -0.6599720598652655 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
(neg.f64 z) |
(*.f64 z x) |
(*.f64 y x) |
(*.f64 (+.f64 y z) x) |
(-.f64 (*.f64 y x) z) |
(-.f64 (*.f64 z x) z) |
| Outputs |
|---|
(*.f64 (+.f64 y z) x) |
(-.f64 (*.f64 y x) z) |
(*.f64 (+.f64 y z) x) |
3 calls:
| 14.0ms | x |
| 14.0ms | z |
| 14.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 0.8b | 3 | x |
| 5.2b | 3 | y |
| 5.3b | 3 | z |
Compiled 38 to 19 computations (50% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 5.994000474764959e-6 | 0.00026611670553742216 |
| 19.0ms | -4.485755087952481 | -0.6599720598652655 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
(neg.f64 z) |
(*.f64 z x) |
(*.f64 y x) |
(*.f64 (+.f64 y z) x) |
| Outputs |
|---|
(*.f64 (+.f64 y z) x) |
(neg.f64 z) |
(*.f64 (+.f64 y z) x) |
(neg.f64 z) |
(*.f64 (+.f64 y z) x) |
3 calls:
| 27.0ms | y |
| 20.0ms | x |
| 16.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 10.6b | 5 | x |
| 19.3b | 7 | y |
| 18.1b | 3 | z |
Compiled 28 to 17 computations (39.3% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 35.0ms | 7.179346880021098e-20 | 7.429438351874563e-17 |
| 36.0ms | -5.606381138266803e-87 | -3.04603344366715e-105 |
| 35.0ms | -1.1530652812896615e-55 | -1.1563772769014255e-63 |
| 28.0ms | -5.685272509410692e-5 | -1.093622810855124e-6 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
(neg.f64 z) |
(*.f64 z x) |
(*.f64 y x) |
| Outputs |
|---|
(*.f64 y x) |
(neg.f64 z) |
(*.f64 y x) |
(neg.f64 z) |
(*.f64 y x) |
3 calls:
| 42.0ms | y |
| 23.0ms | z |
| 17.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 19.1b | 5 | x |
| 22.1b | 7 | y |
| 21.0b | 3 | z |
Compiled 23 to 15 computations (34.8% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 7.179346880021098e-20 | 7.429438351874563e-17 |
| 18.0ms | -5.606381138266803e-87 | -3.04603344366715e-105 |
| 19.0ms | -1.1530652812896615e-55 | -1.1563772769014255e-63 |
| 18.0ms | -5.685272509410692e-5 | -1.093622810855124e-6 |
Compiled 18 to 13 computations (27.8% saved)
Total -35.8b remaining (-136.7%)
Threshold costs -35.8b (-136.7%)
| Inputs |
|---|
(neg.f64 z) |
(*.f64 z x) |
| Outputs |
|---|
(*.f64 z x) |
(neg.f64 z) |
(*.f64 z x) |
3 calls:
| 10.0ms | y |
| 9.0ms | x |
| 3.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 26.2b | 3 | x |
| 32.9b | 3 | y |
| 34.0b | 1 | z |
Compiled 20 to 14 computations (30% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 1881110.5061903384 | 29019223.631526217 |
| 18.0ms | -0.6599720598652655 | -0.014212375144390601 |
Compiled 18 to 13 computations (27.8% saved)
| 1× | egg-herbie |
| 5× | +-commutative_binary64 |
| 4× | *-commutative_binary64 |
| 3× | sub-neg_binary64 |
| 1× | neg-sub0_binary64 |
| 1× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 198 |
| 1 | 56 | 198 |
| 2 | 60 | 198 |
| 3 | 61 | 198 |
| 1× | done |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (*.f64 x (+.f64 y z)) z) |
(if (<=.f64 x -5050511235644525/1125899906842624) (+.f64 (*.f64 x y) (*.f64 z x)) (if (<=.f64 x 442279170942731/73786976294838206464) (-.f64 (*.f64 y x) z) (*.f64 (+.f64 y z) x))) |
(if (<=.f64 x -5050511235644525/1125899906842624) (*.f64 (+.f64 y z) x) (if (<=.f64 x 442279170942731/73786976294838206464) (-.f64 (*.f64 y x) z) (*.f64 (+.f64 y z) x))) |
(if (<=.f64 x -8389981357631641/147573952589676412928) (*.f64 (+.f64 y z) x) (if (<=.f64 x -1591632818550391/13803492693581127574869511724554050904902217944340773110325048447598592) (neg.f64 z) (if (<=.f64 x -6278431338538943/1119872371088902105278721140284222139060822748617324767449994550481895935590080472690438746635803557888) (*.f64 (+.f64 y z) x) (if (<=.f64 x 2982184020117229/41538374868278621028243970633760768) (neg.f64 z) (*.f64 (+.f64 y z) x))))) |
(if (<=.f64 x -8389981357631641/147573952589676412928) (*.f64 y x) (if (<=.f64 x -1591632818550391/13803492693581127574869511724554050904902217944340773110325048447598592) (neg.f64 z) (if (<=.f64 x -6278431338538943/1119872371088902105278721140284222139060822748617324767449994550481895935590080472690438746635803557888) (*.f64 y x) (if (<=.f64 x 2982184020117229/41538374868278621028243970633760768) (neg.f64 z) (*.f64 y x))))) |
(if (<=.f64 x -5944499845768297/9007199254740992) (*.f64 z x) (if (<=.f64 x 8079308104249509/4294967296) (neg.f64 z) (*.f64 z x))) |
(neg.f64 z) |
| Outputs |
|---|
(-.f64 (*.f64 x (+.f64 y z)) z) |
(if (<=.f64 x -5050511235644525/1125899906842624) (+.f64 (*.f64 x y) (*.f64 z x)) (if (<=.f64 x 442279170942731/73786976294838206464) (-.f64 (*.f64 y x) z) (*.f64 (+.f64 y z) x))) |
(if (<=.f64 x -5050511235644525/1125899906842624) (+.f64 (*.f64 x z) (*.f64 x y)) (if (<=.f64 x 442279170942731/73786976294838206464) (-.f64 (*.f64 x y) z) (*.f64 x (+.f64 y z)))) |
(if (<=.f64 x -5050511235644525/1125899906842624) (*.f64 (+.f64 y z) x) (if (<=.f64 x 442279170942731/73786976294838206464) (-.f64 (*.f64 y x) z) (*.f64 (+.f64 y z) x))) |
(if (<=.f64 x -5050511235644525/1125899906842624) (*.f64 x (+.f64 y z)) (if (<=.f64 x 442279170942731/73786976294838206464) (-.f64 (*.f64 x y) z) (*.f64 x (+.f64 y z)))) |
(if (<=.f64 x -8389981357631641/147573952589676412928) (*.f64 (+.f64 y z) x) (if (<=.f64 x -1591632818550391/13803492693581127574869511724554050904902217944340773110325048447598592) (neg.f64 z) (if (<=.f64 x -6278431338538943/1119872371088902105278721140284222139060822748617324767449994550481895935590080472690438746635803557888) (*.f64 (+.f64 y z) x) (if (<=.f64 x 2982184020117229/41538374868278621028243970633760768) (neg.f64 z) (*.f64 (+.f64 y z) x))))) |
(if (<=.f64 x -8389981357631641/147573952589676412928) (*.f64 x (+.f64 y z)) (if (<=.f64 x -1591632818550391/13803492693581127574869511724554050904902217944340773110325048447598592) (neg.f64 z) (if (<=.f64 x -6278431338538943/1119872371088902105278721140284222139060822748617324767449994550481895935590080472690438746635803557888) (*.f64 x (+.f64 y z)) (if (<=.f64 x 2982184020117229/41538374868278621028243970633760768) (neg.f64 z) (*.f64 x (+.f64 y z)))))) |
(if (<=.f64 x -8389981357631641/147573952589676412928) (*.f64 y x) (if (<=.f64 x -1591632818550391/13803492693581127574869511724554050904902217944340773110325048447598592) (neg.f64 z) (if (<=.f64 x -6278431338538943/1119872371088902105278721140284222139060822748617324767449994550481895935590080472690438746635803557888) (*.f64 y x) (if (<=.f64 x 2982184020117229/41538374868278621028243970633760768) (neg.f64 z) (*.f64 y x))))) |
(if (<=.f64 x -8389981357631641/147573952589676412928) (*.f64 x y) (if (<=.f64 x -1591632818550391/13803492693581127574869511724554050904902217944340773110325048447598592) (neg.f64 z) (if (<=.f64 x -6278431338538943/1119872371088902105278721140284222139060822748617324767449994550481895935590080472690438746635803557888) (*.f64 x y) (if (<=.f64 x 2982184020117229/41538374868278621028243970633760768) (neg.f64 z) (*.f64 x y))))) |
(if (<=.f64 x -5944499845768297/9007199254740992) (*.f64 z x) (if (<=.f64 x 8079308104249509/4294967296) (neg.f64 z) (*.f64 z x))) |
(if (<=.f64 x -5944499845768297/9007199254740992) (*.f64 x z) (if (<=.f64 x 8079308104249509/4294967296) (neg.f64 z) (*.f64 x z))) |
(neg.f64 z) |
Compiled 158 to 84 computations (46.8% saved)
| 1× | egg-herbie |
| 299× | fma-neg_binary64 |
| 252× | fma-def_binary64 |
| 95× | cancel-sign-sub-inv_binary64 |
| 43× | distribute-rgt-neg-in_binary64 |
| 42× | associate--r+_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 11 |
| 1 | 18 | 11 |
| 2 | 28 | 11 |
| 3 | 46 | 10 |
| 4 | 65 | 10 |
| 5 | 90 | 10 |
| 6 | 140 | 10 |
| 7 | 224 | 10 |
| 8 | 477 | 10 |
| 9 | 849 | 10 |
| 10 | 1137 | 10 |
| 11 | 1228 | 10 |
| 12 | 1233 | 10 |
| 1× | saturated |
Compiled 116 to 75 computations (35.3% saved)
Compiled 140 to 53 computations (62.1% saved)
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