Details

sample30.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
7.0ms	253×	body	80	nan

simplify18.0ms

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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.4b

localize10.0ms

Local error

Found 3 expressions with local error:

0.4b	(+ (* x y) (* x z))
0.8b	(+ (+ (* x y) (* x z)) (* y z))
13.5b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite31.0ms

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:

3.0ms	(+ (* x y) (* x z))
13.0ms	(+ (+ (* x y) (* x z)) (* y z))
15.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series186.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(+ (* x y) (* x z))
24.0ms	(+ (+ (* x y) (* x z)) (* y z))
127.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify149.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 3 (143.0ms)

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

prune199.0ms

Filtered

60 candidates to 48 candidates (80.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 14.3b

localize13.0ms

Local error

Found 4 expressions with local error:

0.8b	(+ (+ (* x y) (* x z)) (* y z))
0.8b	(+ (+ (* x y) (* x z)) (* y z))
13.5b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
13.5b	(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:

13.0ms	(+ (+ (* x y) (* x z)) (* y z))
13.0ms	(+ (+ (* x y) (* x z)) (* y z))
14.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
15.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series295.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(+ (+ (* x y) (* x z)) (* y z))
24.0ms	(+ (+ (* x y) (* x z)) (* y z))
119.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
128.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify118.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 3 (110.0ms)

Iter	Nodes	Cost
0	200	620
1	734	552
2	3300	536
3	5001	534

prune347.0ms

Filtered

84 candidates to 70 candidates (83.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 14.3b

localize14.0ms

Local error

Found 4 expressions with local error:

12.0b	(cbrt (+ (* x y) (* x z)))
12.0b	(cbrt (+ (* x y) (* x z)))
12.0b	(cbrt (+ (* x y) (* x z)))
13.5b	(sqrt (fma (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (cbrt (+ (* x y) (* x z))) (* y z)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 63

Calls

4 calls:

2.0ms	(cbrt (+ (* x y) (* x z)))
2.0ms	(cbrt (+ (* x y) (* x z)))
2.0ms	(cbrt (+ (* x y) (* x z)))
1.0ms	(sqrt (fma (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (cbrt (+ (* x y) (* x z))) (* y z)))

series814.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(cbrt (+ (* x y) (* x z)))
137.0ms	(cbrt (+ (* x y) (* x z)))
132.0ms	(cbrt (+ (* x y) (* x z)))
417.0ms	(sqrt (fma (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (cbrt (+ (* x y) (* x z))) (* y z)))

simplify146.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	361	841
1	1141	788
2	4842	741
3	5001	741

prune376.0ms

Filtered

75 candidates to 73 candidates (97.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 14.3b

localize20.0ms

Local error

Found 4 expressions with local error:

13.5b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
13.5b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
13.5b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
13.5b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite59.0ms

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)))

series502.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
124.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
123.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
128.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify88.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (24.0ms)

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

prune365.0ms

Filtered

80 candidates to 68 candidates (85.0%)

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 14.3b

regimes278.0ms

Accuracy

0% (0.1b remaining)

Error of 20.0b against oracle of 19.9b and baseline of 20.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7

end0.0ms

sample835.0ms

Algorithm

intervals

Results

264.0ms	8000×	body	80	valid
245.0ms	7942×	body	80	nan