Details

sample51.0ms

Algorithm

intervals

Results

35.0ms	120×	body	10240	exit
6.0ms	256×	body	80	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	5
1	7	5

prune2.0ms

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: 0.5b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp a) (exp b))
0.5b	(/ (exp a) (+ (exp a) (exp b)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
12×	`add-sqr-sqrt` `add-cube-cbrt` `times-frac`
5×	`distribute-lft-out`
4×	`associate-/r*` `add-cbrt-cube` `add-log-exp`
3×	`add-exp-log` `fma-def` `associate-/l*`
2×	`pow1` `expm1-log1p-u` `flip3-+` `associate-/r/` `flip-+` `log1p-expm1-u`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

2 → 52

Calls

2 calls:

4.0ms	(+ (exp a) (exp b))
7.0ms	(/ (exp a) (+ (exp a) (exp b)))

series51.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(+ (exp a) (exp b))
32.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify95.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 3 (34.0ms)

Iter	Nodes	Cost
0	171	405
1	513	376
2	1324	374
3	4489	373
4	5001	373

prune107.0ms

Filtered

58 candidates to 44 candidates (75.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	55	3	58
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	55	4	59

Merged error: 0.2b

Counts

59 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp a) (exp b))
0.3b	(- a (log (+ (exp a) (exp b))))
1.9b	(log (+ (exp a) (exp b)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-un-lft-identity`
16×	`add-sqr-sqrt`
14×	`add-cube-cbrt`
12×	`prod-diff`
8×	`pow1` `log-prod`
6×	`add-log-exp`
5×	`log-pow`
4×	`add-exp-log` `log-div` `associate--r+`
3×	`expm1-log1p-u` `fma-def` `flip3-+` `fma-neg` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out`
2×	`distribute-lft-out--` `associate--r-`
1×	`+-commutative` `sub-neg` `flip3--` `diff-log` `rem-log-exp` `sum-log` `flip--` `difference-of-squares`

Counts

3 → 72

Calls

3 calls:

5.0ms	(+ (exp a) (exp b))
8.0ms	(- a (log (+ (exp a) (exp b))))
4.0ms	(log (+ (exp a) (exp b)))

series88.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(+ (exp a) (exp b))
32.0ms	(- a (log (+ (exp a) (exp b))))
38.0ms	(log (+ (exp a) (exp b)))

simplify66.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 3 (59.0ms)

Iter	Nodes	Cost
0	239	776
1	611	565
2	2217	556
3	5001	449

prune154.0ms

Filtered

81 candidates to 52 candidates (64.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	81	4	85

Merged error: 0.2b

Counts

85 → 4

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (exp a) (+ a (+ b 2)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
15×	`times-frac`
12×	`distribute-lft-out`
11×	`add-sqr-sqrt` `add-cube-cbrt`
5×	`associate-/r*`
3×	`add-cbrt-cube` `associate-/l*`
2×	`add-exp-log` `associate-/r/`
1×	`pow1` `cbrt-undiv` `expm1-log1p-u` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 39

Calls

1 calls:

11.0ms

(/ (exp a) (+ a (+ b 2)))

series68.0ms

Counts

1 → 3

Calls

1 calls:

68.0ms

(/ (exp a) (+ a (+ b 2)))

simplify49.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 3 (40.0ms)

Iter	Nodes	Cost
0	153	284
1	495	265
2	1936	265
3	5002	264

prune53.0ms

Filtered

42 candidates to 27 candidates (64.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	42	0	42
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	42	4	46

Merged error: 0.2b

Counts

46 → 4

localize4.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune0.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	3	3
Total	4	4

Merged error: 0.2b

Counts

4 → 4

regimes88.0ms

Accuracy

0% (0.3b remaining)

Error of 0.7b against oracle of 0.4b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	5
1	7	5

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.2s	3354×	body	10240	exit
193.0ms	8000×	body	80	valid