Time bar (total: 1.9s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 5 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 6 |
| 12.5% | 12.5% | 87.4% | 0.1% | 0% | 0% | 0% | 7 |
| 18.8% | 18.7% | 81.1% | 0.1% | 0% | 0% | 0% | 8 |
| 26.2% | 25% | 70.2% | 0.1% | 4.7% | 0% | 0% | 9 |
| 39.7% | 37.4% | 56.9% | 0.1% | 5.5% | 0% | 0% | 10 |
| 47.1% | 44.5% | 49.9% | 0.1% | 5.5% | 0% | 0% | 11 |
| 54.9% | 50.3% | 41.3% | 0.1% | 8.2% | 0% | 0% | 12 |
Compiled 11 to 8 computations (27.3% saved)
| 1.0s | 8256× | body | 256 | valid |
| 42.0ms | 373× | body | 256 | infinite |
| 2× | egg-herbie |
| 447× | fma-def_binary64 |
| 313× | fma-neg_binary64 |
| 108× | distribute-rgt-neg-in_binary64 |
| 90× | cancel-sign-sub-inv_binary64 |
| 84× | distribute-rgt-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 40 |
| 1 | 40 | 40 |
| 2 | 75 | 40 |
| 3 | 110 | 40 |
| 4 | 197 | 40 |
| 5 | 336 | 40 |
| 6 | 684 | 40 |
| 7 | 1441 | 40 |
| 8 | 1652 | 40 |
| 9 | 1706 | 40 |
| 10 | 1709 | 40 |
| 11 | 1709 | 40 |
| 12 | 1709 | 40 |
| 0 | 3 | 3 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
1 |
2 |
| Outputs |
|---|
0 |
1 |
2 |
| Inputs |
|---|
(-.f64 (*.f64 (*.f64 x 3) y) z) |
(-.f64 (*.f64 (*.f64 y 3) x) z) |
(-.f64 (*.f64 (*.f64 z 3) y) x) |
(-.f64 (*.f64 (*.f64 x 3) z) y) |
| Outputs |
|---|
(-.f64 (*.f64 (*.f64 x 3) y) z) |
(-.f64 (*.f64 x (*.f64 3 y)) z) |
(fma.f64 (*.f64 x 3) y (neg.f64 z)) |
(fma.f64 3 (*.f64 x y) (neg.f64 z)) |
(-.f64 (*.f64 (*.f64 y 3) x) z) |
(-.f64 (*.f64 x (*.f64 3 y)) z) |
(fma.f64 (*.f64 x 3) y (neg.f64 z)) |
(fma.f64 3 (*.f64 x y) (neg.f64 z)) |
(-.f64 (*.f64 (*.f64 x 3) y) z) |
(-.f64 (*.f64 (*.f64 z 3) y) x) |
(fma.f64 (*.f64 3 z) y (neg.f64 x)) |
(-.f64 (*.f64 (*.f64 y z) 3) x) |
(fma.f64 3 (*.f64 y z) (neg.f64 x)) |
(-.f64 (*.f64 y (*.f64 3 z)) x) |
(-.f64 (*.f64 z (*.f64 3 y)) x) |
(-.f64 (*.f64 (*.f64 x 3) z) y) |
(-.f64 (*.f64 3 (*.f64 x z)) y) |
(fma.f64 3 (*.f64 x z) (neg.f64 y)) |
Compiled 13 to 10 computations (23.1% saved)
| 1× | egg-herbie |
| 192× | fma-def_binary64 |
| 125× | fma-neg_binary64 |
| 44× | distribute-rgt-neg-in_binary64 |
| 37× | cancel-sign-sub-inv_binary64 |
| 27× | unsub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 10 |
| 1 | 15 | 10 |
| 2 | 29 | 10 |
| 3 | 42 | 10 |
| 4 | 76 | 10 |
| 5 | 133 | 10 |
| 6 | 246 | 10 |
| 7 | 422 | 10 |
| 8 | 579 | 10 |
| 9 | 698 | 10 |
| 10 | 748 | 10 |
| 11 | 750 | 10 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (*.f64 (*.f64 x 3) y) z) |
| Outputs |
|---|
(-.f64 (*.f64 (*.f64 x 3) y) z) |
(-.f64 (*.f64 x (*.f64 3 y)) z) |
Compiled 17 to 11 computations (35.3% 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 |
|---|---|---|
| ▶ | 0.1b | (-.f64 (*.f64 (*.f64 x 3) y) z) |
| ▶ | 0.1b | (-.f64 (*.f64 x (*.f64 3 y)) z) |
Compiled 20 to 14 computations (30% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 x (*.f64 3 y)) |
Compiled 22 to 13 computations (40.9% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | 0 | (*.f64 x (*.f64 3 y)) |
| 1.0ms | x | @ | 0 | (*.f64 x (*.f64 3 y)) |
| 1.0ms | x | @ | inf | (*.f64 x (*.f64 3 y)) |
| 1.0ms | y | @ | inf | (*.f64 x (*.f64 3 y)) |
| 1.0ms | y | @ | -inf | (*.f64 x (*.f64 3 y)) |
| 1× | batch-egg-rewrite |
| 555× | pow1_binary64 |
| 511× | add-log-exp_binary64 |
| 511× | log1p-expm1-u_binary64 |
| 511× | expm1-log1p-u_binary64 |
| 501× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 121 | 7 |
| 2 | 1393 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x (*.f64 3 y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 3 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 3 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 3 y)))))))) |
| 1× | egg-herbie |
| 5× | *-commutative_binary64 |
| 3× | associate-*r*_binary64 |
| 3× | associate-*l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 168 |
| 1 | 10 | 168 |
| 2 | 17 | 168 |
| 3 | 19 | 168 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
| Outputs |
|---|
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 (*.f64 x 3) y) |
Compiled 22 to 13 computations (40.9% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (*.f64 (*.f64 x 3) y) |
| 1.0ms | y | @ | inf | (*.f64 (*.f64 x 3) y) |
| 0.0ms | x | @ | inf | (*.f64 (*.f64 x 3) y) |
| 0.0ms | x | @ | -inf | (*.f64 (*.f64 x 3) y) |
| 0.0ms | y | @ | -inf | (*.f64 (*.f64 x 3) y) |
| 1× | batch-egg-rewrite |
| 554× | pow1_binary64 |
| 510× | add-log-exp_binary64 |
| 510× | log1p-expm1-u_binary64 |
| 510× | expm1-log1p-u_binary64 |
| 500× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 121 | 7 |
| 2 | 1391 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 x 3) y) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 3 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 3 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 3 y)))))))) |
| 1× | egg-herbie |
| 5× | *-commutative_binary64 |
| 3× | associate-*r*_binary64 |
| 3× | associate-*l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 168 |
| 1 | 10 | 168 |
| 2 | 17 | 168 |
| 3 | 19 | 168 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
| Outputs |
|---|
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
Compiled 231 to 158 computations (31.6% saved)
3 alts after pruning (1 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 23 | 1 | 24 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 23 | 3 | 26 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.1b | (-.f64 (*.f64 (*.f64 x 3) y) z) |
| ▶ | 0.1b | (-.f64 (*.f64 3 (*.f64 y x)) z) |
| ✓ | 0.1b | (-.f64 (*.f64 x (*.f64 3 y)) z) |
Compiled 30 to 21 computations (30% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 3 (*.f64 y x)) |
Compiled 22 to 10 computations (54.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | 0 | (*.f64 3 (*.f64 y x)) |
| 0.0ms | y | @ | inf | (*.f64 3 (*.f64 y x)) |
| 0.0ms | x | @ | -inf | (*.f64 3 (*.f64 y x)) |
| 0.0ms | y | @ | -inf | (*.f64 3 (*.f64 y x)) |
| 0.0ms | x | @ | inf | (*.f64 3 (*.f64 y x)) |
| 1× | batch-egg-rewrite |
| 555× | pow1_binary64 |
| 511× | add-log-exp_binary64 |
| 511× | log1p-expm1-u_binary64 |
| 511× | expm1-log1p-u_binary64 |
| 501× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 121 | 7 |
| 2 | 1393 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 3 (*.f64 y x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 3 (*.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (*.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 3 (*.f64 y x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3 (*.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 3 (*.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (*.f64 y x) 2) 9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3) (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3 (*.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3 (*.f64 y x)))))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 0 | 0 |
| 1× | saturated |
| Inputs |
|---|
| Outputs |
|---|
Compiled 110 to 67 computations (39.1% saved)
3 alts after pruning (0 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 11 | 0 | 11 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 11 | 3 | 14 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.1b | (-.f64 (*.f64 (*.f64 x 3) y) z) |
| ✓ | 0.1b | (-.f64 (*.f64 3 (*.f64 y x)) z) |
| ✓ | 0.1b | (-.f64 (*.f64 x (*.f64 3 y)) z) |
Compiled 30 to 21 computations (30% saved)
Total -0.2b remaining (-168%)
Threshold costs -0.2b (-168%)
| Inputs |
|---|
(-.f64 (*.f64 3 (*.f64 y x)) z) |
(-.f64 (*.f64 x (*.f64 3 y)) z) |
(-.f64 (*.f64 (*.f64 x 3) y) z) |
| Outputs |
|---|
(-.f64 (*.f64 3 (*.f64 y x)) z) |
6 calls:
| 31.0ms | y |
| 4.0ms | (*.f64 (*.f64 x 3) y) |
| 4.0ms | (-.f64 (*.f64 (*.f64 x 3) y) z) |
| 4.0ms | z |
| 4.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.1b | 1 | x |
| 0.1b | 1 | y |
| 0.1b | 1 | z |
| 0.1b | 1 | (-.f64 (*.f64 (*.f64 x 3) y) z) |
| 0.1b | 1 | (*.f64 (*.f64 x 3) y) |
| 0.1b | 1 | (*.f64 x 3) |
Compiled 60 to 42 computations (30% saved)
| 1× | egg-herbie |
| 3× | *-commutative_binary64 |
| 2× | +-commutative_binary64 |
| 2× | sub-neg_binary64 |
| 1× | neg-sub0_binary64 |
| 1× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 10 |
| 1 | 12 | 10 |
| 2 | 17 | 10 |
| 3 | 19 | 10 |
| 4 | 20 | 10 |
| 1× | done |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (*.f64 3 (*.f64 y x)) z) |
| Outputs |
|---|
(-.f64 (*.f64 3 (*.f64 y x)) z) |
Compiled 10 to 7 computations (30% saved)
| 1× | egg-herbie |
| 192× | fma-def_binary64 |
| 125× | fma-neg_binary64 |
| 44× | distribute-rgt-neg-in_binary64 |
| 37× | cancel-sign-sub-inv_binary64 |
| 27× | unsub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 10 |
| 1 | 15 | 10 |
| 2 | 29 | 10 |
| 3 | 42 | 10 |
| 4 | 76 | 10 |
| 5 | 133 | 10 |
| 6 | 246 | 10 |
| 7 | 422 | 10 |
| 8 | 579 | 10 |
| 9 | 698 | 10 |
| 10 | 748 | 10 |
| 11 | 750 | 10 |
| 1× | saturated |
Compiled 20 to 14 computations (30% saved)
Compiled 10 to 7 computations (30% saved)
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