Details

sample33.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
9.0ms	263×	body	80	nan

simplify21.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

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: 20.5b

localize12.0ms

Local error

Found 3 expressions with local error:

1.0b	(+ (+ (* x y) (* x z)) (* y z))
1.0b	(+ (* x y) (* x z))
19.4b	(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:

13.0ms	(+ (+ (* x y) (* x z)) (* y z))
3.0ms	(+ (* x y) (* x z))
14.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series194.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(+ (+ (* x y) (* x z)) (* y z))
36.0ms	(+ (* x y) (* x z))
132.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify161.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 3 (154.0ms)

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

prune220.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 20.4b

localize14.0ms

Local error

Found 4 expressions with local error:

1.0b	(+ (* x y) (* x z))
1.0b	(+ (* x y) (* x z))
19.4b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
19.4b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 64

Calls

4 calls:

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

series332.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(+ (* x y) (* x z))
37.0ms	(+ (* x y) (* x z))
132.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
126.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify120.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	228	510
1	818	472
2	3145	464
3	5001	464

prune337.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 20.4b

localize26.0ms

Local error

Found 4 expressions with local error:

15.0b	(cbrt (+ (* x y) (* x z)))
15.0b	(cbrt (+ (* x y) (* x z)))
19.4b	(sqrt (+ (* (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (cbrt (+ (* x y) (* x z)))) (* y z)))
19.4b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 66

Calls

4 calls:

2.0ms	(cbrt (+ (* x y) (* x z)))
3.0ms	(cbrt (+ (* x y) (* x z)))
61.0ms	(sqrt (+ (* (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (cbrt (+ (* x y) (* x z)))) (* y z)))
14.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series530.0ms

Counts

4 → 12

Calls

4 calls:

138.0ms	(cbrt (+ (* x y) (* x z)))
135.0ms	(cbrt (+ (* x y) (* x z)))
130.0ms	(sqrt (+ (* (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (cbrt (+ (* x y) (* x z)))) (* y z)))
128.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify147.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	352	898
1	1114	594
2	3961	576
3	5001	576

prune431.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 20.4b

localize21.0ms

Local error

Found 4 expressions with local error:

19.4b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
19.4b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
19.4b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
19.4b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite63.0ms

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)))
18.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series506.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(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)))
127.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify93.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (27.0ms)

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

prune394.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 20.4b

regimes259.0ms

Accuracy

0% (0.1b remaining)

Error of 19.9b against oracle of 19.8b and baseline of 19.9b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7

end0.0ms

sample902.0ms

Algorithm

intervals

Results

284.0ms	8000×	body	80	valid
275.0ms	8114×	body	80	nan