Details

sample40.0ms

Algorithm

intervals

Results

19.0ms	374×	body	80	valid
0.0ms	2×	body	320	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	1280	valid

simplify53.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (10.0ms)

Iter	Nodes	Cost
0	31	6
1	92	6
2	309	6
3	880	5
4	1630	5
5	1872	5
6	1886	5
7	1886	5

prune8.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 2

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma t x (* y 5.0))
0.0b	(fma (+ y z) (+ x x) (fma t x (* y 5.0)))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

2×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

2 → 20

Calls

2 calls:

1.0ms	(fma t x (* y 5.0))
1.0ms	(fma (+ y z) (+ x x) (fma t x (* y 5.0)))

series86.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(fma t x (* y 5.0))
56.0ms	(fma (+ y z) (+ x x) (fma t x (* y 5.0)))

simplify27.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	65	129
1	164	113
2	648	111
3	5001	111

prune77.0ms

Filtered

26 candidates to 23 candidates (88.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	22	4	26
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	24	4	28

Merged error: 0.0b

Counts

28 → 4

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma (+ y z) (+ x x) (fma 5.0 y (* t x)))
0.1b	(fma 5.0 y (* t x))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

2×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

2 → 20

Calls

2 calls:

1.0ms	(fma (+ y z) (+ x x) (fma 5.0 y (* t x)))
1.0ms	(fma 5.0 y (* t x))

series92.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(fma (+ y z) (+ x x) (fma 5.0 y (* t x)))
35.0ms	(fma 5.0 y (* t x))

simplify26.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	63	128
1	162	112
2	646	110
3	5002	110

prune69.0ms

Filtered

26 candidates to 23 candidates (88.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	26	0	26
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	26	4	30

Merged error: 0.0b

Counts

30 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma t x (* y 5.0))
0.0b	(* (+ y z) (+ x x))
0.0b	(+ (* (+ y z) (+ x x)) (fma t x (* y 5.0)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
12×	`associate-r`
11×	`add-sqr-sqrt`
9×	`add-cube-cbrt`
7×	`flip3-+` `flip-+`
5×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`frac-times` `associate-l` `distribute-lft-out`
3×	`expm1-log1p-u` `distribute-rgt-out` `log1p-expm1-u`
2×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in` `associate-r/` `associate-l/` `fma-udef`
1×	`+-commutative` `associate-+r+` `fma-def` `distribute-lft1-in` `count-2` `pow-prod-down` `distribute-rgt1-in` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 67

Calls

3 calls:

1.0ms	(fma t x (* y 5.0))
10.0ms	(* (+ y z) (+ x x))
9.0ms	(+ (* (+ y z) (+ x x)) (fma t x (* y 5.0)))

series115.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(fma t x (* y 5.0))
28.0ms	(* (+ y z) (+ x x))
56.0ms	(+ (* (+ y z) (+ x x)) (fma t x (* y 5.0)))

simplify61.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	348	382
1	1657	337
2	5001	336

prune151.0ms

Filtered

76 candidates to 58 candidates (76.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	75	1	76
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	75	5	80

Merged error: 0.0b

Counts

80 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ y z) x)
0.0b	(fma t x (* y 5.0))
0.0b	(+ (* (+ y z) x) (fma x (+ y z) (fma t x (* y 5.0))))
0.0b	(fma x (+ y z) (fma t x (* y 5.0)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `*-un-lft-identity`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube` `add-log-exp`
4×	`expm1-log1p-u` `associate-l` `log1p-expm1-u`
3×	`associate-r` `fma-udef`
2×	`flip3-+` `associate-*l/` `flip-+`
1×	`+-commutative` `associate-+r+` `fma-def` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

4 → 58

Calls

4 calls:

6.0ms	(* (+ y z) x)
1.0ms	(fma t x (* y 5.0))
6.0ms	(+ (* (+ y z) x) (fma x (+ y z) (fma t x (* y 5.0))))
1.0ms	(fma x (+ y z) (fma t x (* y 5.0)))

series161.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (+ y z) x)
31.0ms	(fma t x (* y 5.0))
62.0ms	(+ (* (+ y z) x) (fma x (+ y z) (fma t x (* y 5.0))))
47.0ms	(fma x (+ y z) (fma t x (* y 5.0)))

simplify34.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	242	354
1	983	327
2	5002	321

prune170.0ms

Filtered

70 candidates to 59 candidates (84.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	1	1	2
Picked	1	0	1
Done	1	1	2
Total	72	3	75

Merged error: 0b

Counts

75 → 3

regimes74.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	5
1	12	5

end0.0ms

sample624.0ms

Algorithm

intervals

Results

333.0ms	10738×	body	80	valid
10.0ms	70×	body	1280	valid
9.0ms	78×	body	640	valid
4.0ms	51×	body	320	valid
2.0ms	35×	body	160	valid