Details

sample67.0ms

Algorithm

intervals

Results

32.0ms	118×	body	1280	valid
12.0ms	72×	body	640	valid
7.0ms	292×	body	80	valid
4.0ms	40×	body	320	valid
1.0ms	16×	body	160	valid

simplify225.0ms

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: 57.9b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

5.1b	(- (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)))

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

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

simplify115.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (110.0ms)

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

prune63.0ms

Filtered

31 candidates to 18 candidates (58.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	27	4	31
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	28	4	32

Merged error: 0.0b

Counts

32 → 4

localize10.0ms

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)))

series172.0ms

Counts

2 → 6

Calls

2 calls:

116.0ms	(fma 1/60 (pow x 5) (* 2 x))
56.0ms	(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))

simplify34.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (3.0ms)

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

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	(sqrt (exp x))
0.0b	(sqrt (exp x))
5.1b	(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:

16.0ms	(sqrt (exp x))
11.0ms	(sqrt (exp x))
80.0ms	(fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x))))

simplify88.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 4 (84.0ms)

Iter	Nodes	Cost
0	103	240
1	220	214
2	658	213
3	2560	211
4	5002	209

prune115.0ms

Filtered

55 candidates to 43 candidates (78.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	54	1	55
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	56	3	59

Merged error: 0.0b

Counts

59 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (exp x))
0.0b	(cbrt (exp x))
0.0b	(cbrt (exp x))
5.1b	(fma (sqrt (exp x)) (* (fabs (cbrt (exp x))) (sqrt (cbrt (exp x)))) (- (exp (- x))))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 54

Calls

4 calls:

2.0ms	(sqrt (exp x))
2.0ms	(cbrt (exp x))
2.0ms	(cbrt (exp x))
1.0ms	(fma (sqrt (exp x)) (* (fabs (cbrt (exp x))) (sqrt (cbrt (exp x)))) (- (exp (- x))))

series294.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(sqrt (exp x))
78.0ms	(cbrt (exp x))
77.0ms	(cbrt (exp x))
126.0ms	(fma (sqrt (exp x)) (* (fabs (cbrt (exp x))) (sqrt (cbrt (exp x)))) (- (exp (- x))))

simplify49.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 3 (44.0ms)

Iter	Nodes	Cost
0	164	402
1	432	363
2	1558	347
3	5002	343

prune193.0ms

Filtered

66 candidates to 54 candidates (81.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	66	3	69

Merged error: 0.0b

Counts

69 → 3

regimes18.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	6
1	14	6

end0.0ms

sample1.9s

Algorithm

intervals

Results

909.0ms	3303×	body	1280	valid
404.0ms	2481×	body	640	valid
182.0ms	8028×	body	80	valid
129.0ms	1276×	body	320	valid
39.0ms	660×	body	160	valid