Details

sample34.0ms

Algorithm

intervals

Results

8.0ms	266×	body	80	nan
8.0ms	256×	body	80	valid

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.4b

localize9.0ms

Local error

Found 3 expressions with local error:

0.4b	(+ (* x y) (* x z))
1.4b	(+ (+ (* x y) (* x z)) (* y z))
18.4b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite73.0ms

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:

8.0ms	(+ (* x y) (* x z))
30.0ms	(+ (+ (* x y) (* x z)) (* y z))
34.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series168.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(+ (* x y) (* x z))
26.0ms	(+ (+ (* x y) (* x z)) (* y z))
110.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify123.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 3 (118.0ms)

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

prune157.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 19.3b

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

rewrite131.0ms

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:

33.0ms	(+ (+ (* x y) (* x z)) (* y z))
31.0ms	(+ (+ (* x y) (* x z)) (* y z))
33.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
33.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series274.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(+ (+ (* x y) (* x z)) (* y z))
24.0ms	(+ (+ (* x y) (* x z)) (* y z))
111.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
115.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify99.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 3 (92.0ms)

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

prune303.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 19.3b

localize19.0ms

Local error

Found 4 expressions with local error:

1.4b	(+ (+ (* x y) (* x z)) (* y z))
18.4b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
18.9b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
18.9b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 66

Calls

4 calls:

32.0ms	(+ (+ (* x y) (* x z)) (* y z))
34.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
16.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
16.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

series575.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(+ (+ (* x y) (* x z)) (* y z))
116.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
216.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
220.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

simplify105.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (98.0ms)

Iter	Nodes	Cost
0	274	687
1	888	627
2	3686	599
3	5001	598

prune390.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 19.3b

localize22.0ms

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)))
18.9b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
9×	`sqrt-prod`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`pow1`
6×	`sqrt-div`
4×	`add-exp-log` `expm1-log1p-u` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `rem-sqrt-square` `sqrt-pow1` `pow1/2`
2×	`cbrt-div`
1×	`pow1/3`

Counts

4 → 66

Calls

4 calls:

32.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
31.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
33.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
16.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

series574.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
116.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
116.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
226.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

simplify77.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (69.0ms)

Iter	Nodes	Cost
0	224	732
1	678	677
2	2435	658
3	5002	654

prune400.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 19.3b

regimes188.0ms

Accuracy

0% (0.1b remaining)

Error of 19.8b against oracle of 19.8b and baseline of 19.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7

end0.0ms

sample956.0ms

Algorithm

intervals

Results

252.0ms	8086×	body	80	nan
250.0ms	8000×	body	80	valid