Details

sample13.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify215.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	5
1	12	5
2	14	5
3	15	5
4	20	5
5	41	5
6	66	5
7	165	5
8	1123	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: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.0b	(/ 2.0 (+ (exp x) (exp (- x))))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
12×	`add-sqr-sqrt` `add-cube-cbrt` `times-frac`
5×	`distribute-lft-out`
4×	`add-exp-log` `associate-/r*` `add-cbrt-cube` `add-log-exp`
3×	`fma-def` `associate-/l*`
2×	`pow1` `expm1-log1p-u` `flip3-+` `associate-/r/` `flip-+` `log1p-expm1-u`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

2 → 52

Calls

2 calls:

5.0ms	(+ (exp x) (exp (- x)))
6.0ms	(/ 2.0 (+ (exp x) (exp (- x))))

series62.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(+ (exp x) (exp (- x)))
40.0ms	(/ 2.0 (+ (exp x) (exp (- x))))

simplify121.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 3 (116.0ms)

Iter	Nodes	Cost
0	200	433
1	666	397
2	3139	394
3	5001	393

prune108.0ms

Filtered

58 candidates to 46 candidates (79.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	57	1	58
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	57	2	59

Merged error: 0b

Counts

59 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (* 0.5 (pow x 2)))
0.0b	(* 0.5 (pow x 2))
12.0b	(fma (pow x 4) 0.20833333333333334 (- 1.0 (* 0.5 (pow x 2))))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
8×	`add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r*`
5×	`add-cbrt-cube` `add-log-exp`
4×	`unpow-prod-down` `unswap-sqr`
3×	`pow1` `expm1-log1p-u` `fma-neg` `associate-l` `prod-diff` `prod-exp` `log1p-expm1-u`
2×	`unpow2` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `flip3--` `diff-log` `pow-exp` `*-commutative` `flip--` `cbrt-unprod` `fma-udef`

Counts

3 → 59

Calls

3 calls:

3.0ms	(- 1.0 (* 0.5 (pow x 2)))
5.0ms	(* 0.5 (pow x 2))
1.0ms	(fma (pow x 4) 0.20833333333333334 (- 1.0 (* 0.5 (pow x 2))))

series129.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(- 1.0 (* 0.5 (pow x 2)))
24.0ms	(* 0.5 (pow x 2))
47.0ms	(fma (pow x 4) 0.20833333333333334 (- 1.0 (* 0.5 (pow x 2))))

simplify172.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 3 (167.0ms)

Iter	Nodes	Cost
0	209	324
1	762	286
2	4410	284
3	5001	281

prune123.0ms

Filtered

68 candidates to 47 candidates (69.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	68	2	70

Merged error: 0b

Counts

70 → 2

regimes43.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	5
1	8	5

end0.0ms

sample306.0ms

Algorithm

intervals

Results

220.0ms

8000×

body

valid