Details

sample12.0ms

Algorithm

intervals

Results

4.0ms	256×	body	80	valid
2.0ms	256×	pre	80	true

simplify106.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	3
1	25	3
2	39	3
3	70	3
4	181	3
5	682	3
6	2463	3
7	5001	3

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(* x (+ (* x x) x))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `associate-r`
4×	`*-un-lft-identity`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-rgt-out` `distribute-lft-in` `distribute-lft1-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `add-log-exp` `unswap-sqr`

Counts

1 → 24

Calls

1 calls:

23.0ms

(* x (+ (* x x) x))

series57.0ms

Counts

1 → 3

Calls

1 calls:

57.0ms

(* x (+ (* x x) x))

simplify102.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 3 (100.0ms)

Iter	Nodes	Cost
0	129	117
1	713	102
2	3504	100
3	5002	99

prune37.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (pow x 3/2) (+ x 1))
0.2b	(* (sqrt x) (* (pow x 3/2) (+ x 1)))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-exp-log`
13×	`associate-l`
12×	`add-sqr-sqrt`
10×	`prod-exp`
9×	`*-un-lft-identity` `add-cbrt-cube`
7×	`add-cube-cbrt`
6×	`associate-*r/`
5×	`distribute-rgt-in` `distribute-lft-in` `associate-r`
4×	`pow1` `unpow-prod-down` `cbrt-unprod`
3×	`sqrt-prod` `unswap-sqr`
2×	`pow-to-exp` `flip3-+` `pow-exp` `*-commutative` `flip-+` `add-log-exp` `sqr-pow`
1×	`pow-prod-down` `distribute-lft-out`

Counts

2 → 58

Calls

2 calls:

24.0ms	(* (pow x 3/2) (+ x 1))
30.0ms	(* (sqrt x) (* (pow x 3/2) (+ x 1)))

series128.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(* (pow x 3/2) (+ x 1))
75.0ms	(* (sqrt x) (* (pow x 3/2) (+ x 1)))

simplify49.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	317	369
1	1628	326
2	5002	325

prune110.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (pow x 5/2) (pow x 3/2))
0.2b	(* (sqrt x) (+ (pow x 5/2) (pow x 3/2)))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `*-un-lft-identity`
6×	`associate-l`
5×	`add-cube-cbrt`
4×	`pow1` `add-exp-log` `associate-r` `sqrt-prod` `add-cbrt-cube` `add-log-exp`
2×	`flip3-+` `associate-*r/` `flip-+` `distribute-lft-out` `unswap-sqr`
1×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod`

Counts

2 → 39

Calls

2 calls:

14.0ms	(+ (pow x 5/2) (pow x 3/2))
51.0ms	(* (sqrt x) (+ (pow x 5/2) (pow x 3/2)))

series458.0ms

Counts

2 → 6

Calls

2 calls:

342.0ms	(+ (pow x 5/2) (pow x 3/2))
115.0ms	(* (sqrt x) (+ (pow x 5/2) (pow x 3/2)))

simplify39.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	359	371
1	1380	336
2	5001	331

prune101.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes9.0ms

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	6	3
1	6	3

end0.0ms

sample305.0ms

Algorithm

intervals

Results

120.0ms	8000×	body	80	valid
69.0ms	8000×	pre	80	true