Details

sample66.0ms

Algorithm

intervals

Results

31.0ms	111×	body	1280	valid
13.0ms	82×	body	640	valid
7.0ms	278×	body	80	valid
4.0ms	36×	body	320	valid
1.0ms	22×	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: 58.4b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

5.5b	(- (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)))

series39.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

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

simplify112.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (108.0ms)

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

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	29	2	31
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	30	2	32

Merged error: 0.0b

Counts

32 → 2

localize11.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune3.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 2

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (fma (- 1) (pow (exp x) -2) (exp (+ x x))) (+ (exp x) (exp (- x))))
0.0b	(pow (exp x) -2)
5.5b	(fma (- 1) (pow (exp x) -2) (exp (+ x x)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-un-lft-identity`
15×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`times-frac`
5×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `pow-pow` `associate-/r*` `distribute-lft-out`
3×	`expm1-log1p-u` `unpow-prod-down` `pow-unpow` `exp-prod` `log1p-expm1-u` `associate-/l*` `add-log-exp`
2×	`associate-/r/`
1×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `flip3-+` `div-exp` `pow-exp` `clear-num` `flip-+` `fma-udef` `div-inv` `sqr-pow`

Counts

3 → 67

Calls

3 calls:

6.0ms	(/ (fma (- 1) (pow (exp x) -2) (exp (+ x x))) (+ (exp x) (exp (- x))))
3.0ms	(pow (exp x) -2)
1.0ms	(fma (- 1) (pow (exp x) -2) (exp (+ x x)))

series197.0ms

Counts

3 → 9

Calls

3 calls:

108.0ms	(/ (fma (- 1) (pow (exp x) -2) (exp (+ x x))) (+ (exp x) (exp (- x))))
17.0ms	(pow (exp x) -2)
71.0ms	(fma (- 1) (pow (exp x) -2) (exp (+ x x)))

simplify40.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	291	824
1	1097	754
2	5002	733

prune204.0ms

Filtered

76 candidates to 56 candidates (73.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	75	1	76
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	76	2	78

Merged error: 0b

Counts

78 → 2

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
5.5b	(fma (- 1) (pow (exp (* (cbrt x) (cbrt x))) (* (cbrt x) -2)) (exp (+ x x)))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`fma-udef`

Counts

4 → 49

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(fma (- 1) (pow (exp (* (cbrt x) (cbrt x))) (* (cbrt x) -2)) (exp (+ x x)))

series993.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(cbrt x)
172.0ms	(cbrt x)
184.0ms	(cbrt x)
465.0ms	(fma (- 1) (pow (exp (* (cbrt x) (cbrt x))) (* (cbrt x) -2)) (exp (+ x x)))

simplify42.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 3 (32.0ms)

Iter	Nodes	Cost
0	104	299
1	262	265
2	1023	259
3	5002	257

prune253.0ms

Filtered

61 candidates to 54 candidates (88.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	61	2	63

Merged error: 0b

Counts

63 → 2

regimes17.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b 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

sample1.9s

Algorithm

intervals

Results

965.0ms	3408×	body	1280	valid
408.0ms	2421×	body	640	valid
185.0ms	7852×	body	80	valid
131.0ms	1226×	body	320	valid
43.0ms	685×	body	160	valid