Details

sample62.0ms

Algorithm

intervals

Results

30.0ms	113×	body	1280	valid
12.0ms	79×	body	640	valid
6.0ms	253×	body	80	valid
4.0ms	40×	body	320	valid
1.0ms	16×	body	160	valid

simplify222.0ms

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: 58.3b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

4.7b	(- (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)))

simplify112.0ms

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

prune64.0ms

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: 0.0b

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)))

series179.0ms

Counts

2 → 6

Calls

2 calls:

123.0ms	(fma 1/60 (pow x 5) (* 2 x))
56.0ms	(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))

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

prune74.0ms

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: 0.0b

Counts

29 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp x) -2)
0.0b	(pow (exp (- x)) 3)
0.0b	(pow (exp x) 3)
4.6b	(- (pow (exp x) 3) (pow (exp (- x)) 3))

rewrite43.0ms

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) -2)
5.0ms	(pow (exp (- x)) 3)
3.0ms	(pow (exp x) 3)
16.0ms	(- (pow (exp x) 3) (pow (exp (- x)) 3))

series164.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(pow (exp x) -2)
26.0ms	(pow (exp (- x)) 3)
23.0ms	(pow (exp x) 3)
92.0ms	(- (pow (exp x) 3) (pow (exp (- x)) 3))

simplify143.0ms

Algorithm

egg-herbie

Counts

291 → 291

Iterations

Useful iterations: 2 (110.0ms)

Iter	Nodes	Cost
0	637	3619
1	2322	2459
2	5002	2408

prune381.0ms

Filtered

291 candidates to 90 candidates (30.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	289	2	291
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	291	3	294

Merged error: 0.0b

Counts

294 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (* x 3))
0.0b	(pow (exp x) -2)
0.0b	(pow (exp (- x)) 3)
4.9b	(- (exp (* x 3)) (pow (exp (- x)) 3))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
36×	`prod-diff`
35×	`add-cube-cbrt`
16×	`unpow-prod-down`
15×	`exp-prod` `pow-pow`
13×	`cube-prod`
9×	`add-log-exp`
6×	`pow1` `pow-unpow` `sqr-pow`
5×	`add-cbrt-cube`
4×	`add-exp-log` `expm1-log1p-u` `cube-mult` `unpow3` `log1p-expm1-u` `difference-of-squares`
3×	`difference-cubes` `distribute-lft-neg-in` `distribute-rgt-neg-in` `fma-neg`
2×	`cube-div` `pow-to-exp` `exp-lft-cube` `exp-to-pow` `pow-exp`
1×	`neg-sub0` `exp-neg` `neg-mul-1` `sub-neg` `flip3--` `exp-diff` `diff-log` `flip--` `rem-exp-log` `distribute-lft-out--` `rem-cube-cbrt`

Counts

4 → 133

Calls

4 calls:

2.0ms	(exp (* x 3))
3.0ms	(pow (exp x) -2)
7.0ms	(pow (exp (- x)) 3)
8.0ms	(- (exp (* x 3)) (pow (exp (- x)) 3))

series121.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(exp (* x 3))
18.0ms	(pow (exp x) -2)
31.0ms	(pow (exp (- x)) 3)
66.0ms	(- (exp (* x 3)) (pow (exp (- x)) 3))

simplify96.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 2 (83.0ms)

Iter	Nodes	Cost
0	480	1366
1	1979	902
2	5001	882

prune315.0ms

Filtered

145 candidates to 74 candidates (51.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	143	2	145
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	145	3	148

Merged error: 0b

Counts

148 → 3

regimes22.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

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

952.0ms	3446×	body	1280	valid
390.0ms	2424×	body	640	valid
192.0ms	8279×	body	80	valid
119.0ms	1218×	body	320	valid
38.0ms	643×	body	160	valid