Details

sample76.0ms

Algorithm

intervals

Results

34.0ms	111×	body	1280	valid
15.0ms	76×	body	640	valid
9.0ms	311×	body	80	valid
5.0ms	39×	body	320	valid
2.0ms	22×	body	160	valid

simplify227.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	5
1	23	5
2	31	5
3	36	5
4	41	5
5	65	5
6	108	5
7	267	5
8	1342	5
9	5001	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: 58.2b

Counts

2 → 1

localize9.0ms

Local error

Found 1 expressions with local error:

5.3b	(- (exp x) (exp (- x)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`prod-diff`
8×	`add-cube-cbrt`
3×	`fma-neg` `add-log-exp`
1×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 28

Calls

1 calls:

5.0ms

(- (exp x) (exp (- x)))

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

(- (exp x) (exp (- x)))

simplify118.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (113.0ms)

Iter	Nodes	Cost
0	158	354
1	416	228
2	2421	226
3	5002	203

prune66.0ms

Filtered

31 candidates to 18 candidates (58.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	28	3	31
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	29	3	32

Merged error: 0b

Counts

32 → 3

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma 1/60 (pow x 5) (* 2 x))
0.0b	(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 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 1/60 (pow x 5) (* 2 x))
1.0ms	(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))

series180.0ms

Counts

2 → 6

Calls

2 calls:

121.0ms	(fma 1/60 (pow x 5) (* 2 x))
59.0ms	(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))

simplify35.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	60	148
1	184	130
2	1006	130
3	5001	130

prune65.0ms

Filtered

26 candidates to 20 candidates (76.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	26	0	26
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	26	3	29

Merged error: 0b

Counts

29 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt (exp x))
0.0b	(sqrt (exp x))
5.4b	(fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x))))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
8×	`sqrt-pow1`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`exp-prod` `sqrt-prod`
5×	`pow1`
3×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `pow1/2`
1×	`fma-udef`

Counts

3 → 46

Calls

3 calls:

2.0ms	(sqrt (exp x))
2.0ms	(sqrt (exp x))
1.0ms	(fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x))))

series107.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(sqrt (exp x))
12.0ms	(sqrt (exp x))
83.0ms	(fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x))))

simplify79.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 4 (74.0ms)

Iter	Nodes	Cost
0	103	242
1	216	214
2	638	213
3	2234	211
4	5001	209

prune113.0ms

Filtered

55 candidates to 42 candidates (76.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Merged error: 0b

Counts

58 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(exp (- (exp x) (exp (- x))))
5.3b	(- (exp x) (exp (- x)))
5.5b	(log (exp (- (exp x) (exp (- x)))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt` `*-un-lft-identity`
27×	`prod-diff`
25×	`add-cube-cbrt`
22×	`exp-sum`
14×	`log-prod`
10×	`exp-prod`
8×	`add-log-exp`
6×	`log-pow`
4×	`pow1`
3×	`add-exp-log` `expm1-log1p-u` `sub-neg` `fma-neg` `add-cbrt-cube` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
2×	`exp-diff` `diff-log` `rem-exp-log`
1×	`log-div` `flip3--` `rem-log-exp` `flip--`

Counts

3 → 87

Calls

3 calls:

6.0ms	(exp (- (exp x) (exp (- x))))
5.0ms	(- (exp x) (exp (- x)))
7.0ms	(log (exp (- (exp x) (exp (- x)))))

series116.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(exp (- (exp x) (exp (- x))))
35.0ms	(- (exp x) (exp (- x)))
38.0ms	(log (exp (- (exp x) (exp (- x)))))

simplify173.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 3 (164.0ms)

Iter	Nodes	Cost
0	246	1078
1	641	719
2	3506	531
3	5001	528

prune144.0ms

Filtered

96 candidates to 56 candidates (58.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	96	3	99

Merged error: 0b

Counts

99 → 3

regimes32.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	6
1	14	6

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.1s	3422×	body	1280	valid
466.0ms	2404×	body	640	valid
251.0ms	8238×	body	80	valid
158.0ms	1272×	body	320	valid
50.0ms	650×	body	160	valid