Details

sample47.0ms

Algorithm

intervals

Results

15.0ms	256×	body	80	nan
12.0ms	256×	body	80	valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	7
1	33	7
2	42	7
3	44	7
4	44	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.5b

localize9.0ms

Local error

Found 3 expressions with local error:

0.6b	(+ (* x y) (* x z))
1.4b	(+ (+ (* x y) (* x z)) (* y z))
17.5b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 40

Calls

3 calls:

3.0ms	(+ (* x y) (* x z))
11.0ms	(+ (+ (* x y) (* x z)) (* y z))
14.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series171.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(+ (* x y) (* x z))
27.0ms	(+ (+ (* x y) (* x z)) (* y z))
112.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify113.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	249	355
1	908	322
2	3660	314
3	5001	314

prune131.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 18.4b

localize12.0ms

Local error

Found 4 expressions with local error:

1.4b	(+ (+ (* x y) (* x z)) (* y z))
1.4b	(+ (+ (* x y) (* x z)) (* y z))
17.5b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
17.5b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 56

Calls

4 calls:

12.0ms	(+ (+ (* x y) (* x z)) (* y z))
12.0ms	(+ (+ (* x y) (* x z)) (* y z))
13.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
13.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series283.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(+ (+ (* x y) (* x z)) (* y z))
21.0ms	(+ (+ (* x y) (* x z)) (* y z))
126.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
114.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify92.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	186	576
1	666	520
2	2872	508
3	5001	508

prune231.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 18.4b

localize18.0ms

Local error

Found 4 expressions with local error:

1.4b	(+ (+ (* x y) (* x z)) (* y z))
1.4b	(+ (+ (* x y) (* x z)) (* y z))
18.1b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
18.1b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-log-exp`
6×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `sum-log`
4×	`pow1` `add-exp-log` `cbrt-div` `flip3-+` `add-cbrt-cube` `flip-+`
2×	`+-commutative` `associate-+l+` `pow1/3`

Counts

4 → 52

Calls

4 calls:

11.0ms	(+ (+ (* x y) (* x z)) (* y z))
12.0ms	(+ (+ (* x y) (* x z)) (* y z))
7.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
7.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

series478.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(+ (+ (* x y) (* x z)) (* y z))
27.0ms	(+ (+ (* x y) (* x z)) (* y z))
214.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
215.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

simplify84.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 3 (78.0ms)

Iter	Nodes	Cost
0	197	594
1	625	540
2	2618	516
3	5001	514

prune243.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 18.4b

localize18.0ms

Local error

Found 4 expressions with local error:

1.4b	(+ (+ (* x y) (* x z)) (* y z))
17.5b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
17.5b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
18.1b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `add-log-exp`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `sqrt-prod`
4×	`add-exp-log` `flip3-+` `sqrt-div` `add-cbrt-cube` `flip-+`
3×	`cbrt-prod` `sum-log`
2×	`rem-sqrt-square` `cbrt-div` `sqrt-pow1` `pow1/2`
1×	`+-commutative` `associate-+l+` `pow1/3`

Counts

4 → 56

Calls

4 calls:

12.0ms	(+ (+ (* x y) (* x z)) (* y z))
17.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
13.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
7.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

series647.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ (+ (* x y) (* x z)) (* y z))
294.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
111.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
216.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

simplify97.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 3 (90.0ms)

Iter	Nodes	Cost
0	258	631
1	812	579
2	3241	561
3	5001	558

prune276.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 18.4b

regimes200.0ms

Accuracy

0% (0.1b remaining)

Error of 20.1b against oracle of 20.0b and baseline of 20.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7

end0.0ms

sample858.0ms

Algorithm

intervals

Results

263.0ms	8223×	body	80	nan
262.0ms	8000×	body	80	valid