Details

sample32.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
8.0ms	256×	body	80	nan

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	22	7
1	44	7
2	63	7
3	70	7
4	71	7
5	71	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.4b

localize10.0ms

Local error

Found 3 expressions with local error:

0.6b	(+ (* x y) (* x z))
1.2b	(+ (+ (* x y) (* x z)) (* y z))
18.4b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
6×	`add-sqr-sqrt`
5×	`add-cube-cbrt` `fma-def` `*-un-lft-identity`
4×	`pow1` `sum-log`
3×	`add-exp-log` `expm1-log1p-u` `flip3-+` `sqrt-prod` `add-cbrt-cube` `flip-+` `log1p-expm1-u`
2×	`+-commutative` `sqrt-div` `distribute-lft-out`
1×	`rem-sqrt-square` `associate-+l+` `sqrt-pow1` `pow1/2`

Counts

3 → 51

Calls

3 calls:

2.0ms	(+ (* x y) (* x z))
15.0ms	(+ (+ (* x y) (* x z)) (* y z))
14.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series161.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(+ (* x y) (* x z))
21.0ms	(+ (+ (* x y) (* x z)) (* y z))
109.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify121.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 3 (116.0ms)

Iter	Nodes	Cost
0	270	383
1	1009	344
2	4339	335
3	5001	334

prune179.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 19.3b

localize13.0ms

Local error

Found 4 expressions with local error:

1.2b	(+ (+ (* x y) (* x z)) (* y z))
1.2b	(+ (+ (* x y) (* x z)) (* y z))
18.4b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
18.4b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-log-exp`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `fma-def` `*-un-lft-identity`
6×	`pow1` `sum-log` `sqrt-prod`
4×	`add-exp-log` `expm1-log1p-u` `flip3-+` `sqrt-div` `add-cbrt-cube` `flip-+` `log1p-expm1-u`
2×	`+-commutative` `rem-sqrt-square` `associate-+l+` `sqrt-pow1` `pow1/2` `distribute-lft-out`

Counts

4 → 72

Calls

4 calls:

15.0ms	(+ (+ (* x y) (* x z)) (* y z))
12.0ms	(+ (+ (* x y) (* x z)) (* y z))
14.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
14.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series262.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(+ (+ (* x y) (* x z)) (* y z))
22.0ms	(+ (+ (* x y) (* x z)) (* y z))
108.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
111.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify110.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 3 (98.0ms)

Iter	Nodes	Cost
0	200	618
1	734	550
2	3300	534
3	5001	532

prune328.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 19.3b

localize14.0ms

Local error

Found 4 expressions with local error:

1.2b	(+ (+ (* x y) (* x z)) (* y z))
1.2b	(+ (+ (* x y) (* x z)) (* y z))
19.0b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
19.0b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-log-exp`
8×	`add-sqr-sqrt` `add-cube-cbrt` `fma-def` `*-un-lft-identity`
6×	`cbrt-prod` `sum-log`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `cbrt-div` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u`
2×	`+-commutative` `associate-+l+` `pow1/3` `distribute-lft-out`

Counts

4 → 68

Calls

4 calls:

12.0ms	(+ (+ (* x y) (* x z)) (* y z))
16.0ms	(+ (+ (* x y) (* x z)) (* y z))
7.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
7.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

series665.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(+ (+ (* x y) (* x z)) (* y z))
21.0ms	(+ (+ (* x y) (* x z)) (* y z))
407.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
210.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

simplify94.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 3 (87.0ms)

Iter	Nodes	Cost
0	208	636
1	684	580
2	2983	550
3	5001	548

prune333.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 19.3b

localize23.0ms

Local error

Found 4 expressions with local error:

18.4b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
18.4b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
18.4b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
18.4b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `sqrt-prod`
8×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-div`
4×	`add-exp-log` `expm1-log1p-u` `rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `add-log-exp`

Counts

4 → 68

Calls

4 calls:

14.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
14.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
14.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
14.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series444.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
112.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
109.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
114.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify77.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	150	724
1	524	668
2	2049	656
3	5001	656

prune331.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 19.3b

regimes265.0ms

Accuracy

0% (0.1b remaining)

Error of 19.5b against oracle of 19.5b and baseline of 19.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7

end0.0ms

sample878.0ms

Algorithm

intervals

Results

275.0ms	8000×	body	80	valid
269.0ms	8107×	body	80	nan