Details

sample77.0ms

Algorithm

intervals

Results

39.0ms	117×	body	1280	valid
14.0ms	74×	body	640	valid
8.0ms	267×	body	80	valid
4.0ms	38×	body	320	valid
1.0ms	16×	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: 57.8b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

4.4b	(- (exp x) (exp (- x)))

rewrite7.0ms

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:

6.0ms

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

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

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

simplify116.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (109.0ms)

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

prune61.0ms

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 1 expressions with local error:

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

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`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

1 → 10

Calls

1 calls:

1.0ms

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

series53.0ms

Counts

1 → 3

Calls

1 calls:

53.0ms

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

simplify30.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	49	89
1	150	78
2	862	78
3	5001	78

prune34.0ms

Filtered

13 candidates to 10 candidates (76.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	13	0	13
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	13	3	16

Merged error: 0b

Counts

16 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt (exp x))
0.0b	(sqrt (exp x))
4.4b	(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))))

series103.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(sqrt (exp x))
11.0ms	(sqrt (exp x))
80.0ms	(fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x))))

simplify86.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 4 (82.0ms)

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

prune110.0ms

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

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(exp (- (exp x) (exp (- x))))
4.3b	(log (exp (- (exp x) (exp (- x)))))
4.4b	(- (exp x) (exp (- x)))

rewrite21.0ms

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

series114.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(exp (- (exp x) (exp (- x))))
35.0ms	(log (exp (- (exp x) (exp (- x)))))
37.0ms	(- (exp x) (exp (- x)))

simplify174.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 3 (165.0ms)

Iter	Nodes	Cost
0	246	1078
1	639	719
2	3539	531
3	5001	528

prune139.0ms

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

regimes33.0ms

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

sample2.1s

Algorithm

intervals

Results

1.0s	3295×	body	1280	valid
478.0ms	2544×	body	640	valid
233.0ms	8222×	body	80	valid
149.0ms	1230×	body	320	valid
48.0ms	664×	body	160	valid

Details

sample77.0ms

simplify227.0ms

prune2.0ms

localize6.0ms

rewrite7.0ms

series36.0ms

simplify116.0ms

prune61.0ms

localize11.0ms

rewrite1.0ms

series53.0ms

simplify30.0ms

prune34.0ms

localize9.0ms

rewrite6.0ms

series103.0ms

simplify86.0ms

prune110.0ms

localize9.0ms

rewrite21.0ms

series114.0ms

simplify174.0ms

prune139.0ms

regimes33.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.1s

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