Details

sample67.0ms

Algorithm

intervals

Results

30.0ms	109×	body	1280	valid
15.0ms	89×	body	640	valid
8.0ms	244×	body	80	valid
3.0ms	35×	body	320	valid
1.0ms	13×	body	160	valid

simplify219.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.6b

localize6.0ms

Local error

Found 1 expressions with local error:

3.8b	(- (exp x) (exp (- x)))

rewrite8.0ms

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:

7.0ms

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

series35.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

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

simplify113.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (107.0ms)

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

prune58.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

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:

0.0ms

(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)))

simplify34.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (4.0ms)

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

prune35.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b

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

0.0b

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

0.3b

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
18×	`pow1` `sqrt-prod`
11×	`add-cube-cbrt` `*-un-lft-identity`
8×	`sqrt-pow1` `pow1/2` `swap-sqr`
6×	`associate-r` `associate-l`
5×	`add-exp-log` `pow-prod-up` `add-cbrt-cube`
4×	`unswap-sqr`
3×	`expm1-log1p-u` `pow-prod-down` `pow-sqr` `log1p-expm1-u` `add-log-exp`
2×	`fma-udef`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

3 → 71

Calls

3 calls:

0.0ms

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

0.0ms

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

6.0ms

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

series164.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms

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

54.0ms

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

55.0ms

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

simplify214.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	132	641
1	563	556
2	4594	524
3	5001	524

prune164.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes15.0ms

Accuracy

0% (0.0b remaining)

Error of 0.6b against oracle of 0.6b 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

939.0ms	3419×	body	1280	valid
409.0ms	2484×	body	640	valid
181.0ms	8144×	body	80	valid
120.0ms	1182×	body	320	valid
39.0ms	639×	body	160	valid