Details

sample19.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
5.0ms	256×	pre	80	true

simplify18.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	27	3
2	66	3
3	113	3
4	145	3
5	165	3
6	182	3
7	184	3
8	184	3

prune1.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ a b) (+ a b))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
8×	`pow1`
7×	`add-sqr-sqrt`
6×	`flip3-+` `swap-sqr` `flip-+` `distribute-lft-out`
5×	`add-cube-cbrt`
4×	`frac-times` `associate-r` `associate-l`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-r/` `associate-l/`
1×	`pow2` `distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `pow-plus` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 42

Calls

1 calls:

8.0ms

(* (+ a b) (+ a b))

series14.0ms

Counts

1 → 3

Calls

1 calls:

14.0ms

(* (+ a b) (+ a b))

simplify35.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	195	218
1	958	194
2	5002	180

prune47.0ms

Filtered

45 candidates to 21 candidates (46.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	43	2	45
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	43	3	46

Merged error: 0b

Counts

46 → 3

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(* b (+ a b))
0.0b	(+ (* a (+ a b)) (* b (+ a b)))
0.0b	(* a (+ a b))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 73

Calls

3 calls:

6.0ms	(* b (+ a b))
7.0ms	(+ (* a (+ a b)) (* b (+ a b)))
6.0ms	(* a (+ a b))

series75.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(* b (+ a b))
25.0ms	(+ (* a (+ a b)) (* b (+ a b)))
26.0ms	(* a (+ a b))

simplify60.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	373	400
1	2125	342
2	5001	336

prune109.0ms

Filtered

82 candidates to 56 candidates (68.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	82	3	85

Merged error: 0b

Counts

85 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ a b) (+ a b))
0.0b	(log1p (* (+ a b) (+ a b)))
0.9b	(expm1 (log1p (* (+ a b) (+ a b))))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
10×	`pow1`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt`
6×	`flip3-+` `swap-sqr` `flip-+` `distribute-lft-out`
5×	`add-exp-log` `add-cbrt-cube`
4×	`expm1-log1p-u` `frac-times` `associate-r` `associate-l`
3×	`log1p-expm1-u` `add-log-exp`
2×	`associate-r/` `associate-l/`
1×	`pow2` `distribute-rgt-in` `log1p-udef` `expm1-log1p` `distribute-lft-in` `pow-plus` `log1p-expm1` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `expm1-udef` `unswap-sqr`

Counts

3 → 64

Calls

3 calls:

8.0ms	(* (+ a b) (+ a b))
1.0ms	(log1p (* (+ a b) (+ a b)))
1.0ms	(expm1 (log1p (* (+ a b) (+ a b))))

series239.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(* (+ a b) (+ a b))
102.0ms	(log1p (* (+ a b) (+ a b)))
119.0ms	(expm1 (log1p (* (+ a b) (+ a b))))

simplify40.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	271	378
1	1186	328
2	5002	315

prune101.0ms

Filtered

73 candidates to 46 candidates (63.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	73	3	76

Merged error: 0b

Counts

76 → 3

regimes75.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	5
1	10	5

end0.0ms

sample427.0ms

Algorithm

intervals

Results

172.0ms	8000×	pre	80	true
128.0ms	8000×	body	80	valid