Details

sample71.0ms

Algorithm

intervals

Results

33.0ms	110×	body	1280	valid
15.0ms	78×	body	640	valid
7.0ms	272×	body	80	valid
4.0ms	39×	body	320	valid
2.0ms	19×	body	160	valid

simplify224.0ms

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: 58.1b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

6.2b	(- (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)))

simplify113.0ms

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

prune67.0ms

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 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)))

series56.0ms

Counts

1 → 3

Calls

1 calls:

56.0ms

(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

prune36.0ms

Filtered

13 candidates to 10 candidates (76.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	13	0	13
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	13	4	17

Merged error: 0.0b

Counts

17 → 4

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp x) 3)
0.0b	(pow (exp (- x)) 3)
0.0b	(pow (exp x) -2)
6.1b	(- (pow (exp x) 3) (pow (exp (- x)) 3))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

144×	`prod-diff`
116×	`add-sqr-sqrt`
102×	`*-un-lft-identity`
96×	`unpow-prod-down`
93×	`cube-prod`
92×	`add-cube-cbrt`
36×	`sqr-pow`
27×	`cube-mult` `unpow3`
19×	`pow-pow`
16×	`exp-prod` `difference-of-squares`
12×	`fma-neg`
9×	`pow-unpow`
7×	`pow1`
6×	`add-cbrt-cube` `add-log-exp`
5×	`distribute-lft-out--`
4×	`add-exp-log` `expm1-log1p-u` `log1p-expm1-u`
3×	`distribute-lft-neg-in` `pow-to-exp` `distribute-rgt-neg-in` `pow-exp`
2×	`cube-div` `rem-cube-cbrt`
1×	`difference-cubes` `neg-sub0` `exp-neg` `neg-mul-1` `sub-neg` `flip3--` `exp-diff` `diff-log` `flip--`

Counts

4 → 279

Calls

4 calls:

3.0ms	(pow (exp x) 3)
4.0ms	(pow (exp (- x)) 3)
3.0ms	(pow (exp x) -2)
15.0ms	(- (pow (exp x) 3) (pow (exp (- x)) 3))

series161.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(pow (exp x) 3)
30.0ms	(pow (exp (- x)) 3)
18.0ms	(pow (exp x) -2)
91.0ms	(- (pow (exp x) 3) (pow (exp (- x)) 3))

simplify128.0ms

Algorithm

egg-herbie

Counts

291 → 291

Iterations

Useful iterations: 2 (91.0ms)

Iter	Nodes	Cost
0	636	3651
1	2198	2479
2	5001	2450

prune357.0ms

Filtered

291 candidates to 91 candidates (31.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	290	1	291
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	290	5	295

Merged error: 0.0b

Counts

295 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(pow (- (exp x) (exp (* -1 x))) 3)
0.1b	(cbrt (pow (- (exp x) (exp (* -1 x))) 3))
6.2b	(- (exp x) (exp (* -1 x)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt` `*-un-lft-identity`
16×	`cbrt-prod` `add-cube-cbrt`
10×	`unpow-prod-down` `cube-prod`
9×	`prod-diff`
5×	`distribute-lft-out--` `add-log-exp` `difference-of-squares`
4×	`pow1` `add-exp-log` `cube-div` `add-cbrt-cube`
3×	`expm1-log1p-u` `pow-unpow` `flip3--` `fma-neg` `flip--` `log1p-expm1-u`
2×	`cube-mult` `cbrt-div` `unpow3` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `pow-pow` `pow1/3` `diff-log` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

3 → 88

Calls

3 calls:

5.0ms	(pow (- (exp x) (exp (* -1 x))) 3)
5.0ms	(cbrt (pow (- (exp x) (exp (* -1 x))) 3))
5.0ms	(- (exp x) (exp (* -1 x)))

series131.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(pow (- (exp x) (exp (* -1 x))) 3)
31.0ms	(cbrt (pow (- (exp x) (exp (* -1 x))) 3))
36.0ms	(- (exp x) (exp (* -1 x)))

simplify43.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	297	870
1	1039	724
2	5001	709

prune144.0ms

Filtered

97 candidates to 53 candidates (54.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	97	5	102

Merged error: 0.0b

Counts

102 → 5

regimes26.0ms

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	3335×	body	1280	valid
457.0ms	2497×	body	640	valid
228.0ms	8164×	body	80	valid
150.0ms	1259×	body	320	valid
45.0ms	626×	body	160	valid