Details

sample33.0ms

Algorithm

intervals

Results

9.0ms	272×	body	80	nan
9.0ms	256×	body	80	valid

simplify20.0ms

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: 22.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.4b	(+ (* x y) (* x z))
1.0b	(+ (+ (* x y) (* x z)) (* y z))
20.8b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite23.0ms

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:

4.0ms	(+ (* x y) (* x z))
12.0ms	(+ (+ (* x y) (* x z)) (* y z))
6.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series182.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(+ (* x y) (* x z))
23.0ms	(+ (+ (* x y) (* x z)) (* y z))
124.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify149.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 3 (142.0ms)

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

prune213.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 21.9b

localize10.0ms

Local error

Found 2 expressions with local error:

0.5b	(fma x (+ y z) (* y z))
20.8b	(sqrt (fma x (+ y z) (* y z)))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt`
3×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
2×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `fma-udef`

Counts

2 → 25

Calls

2 calls:

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

series147.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(fma x (+ y z) (* y z))
124.0ms	(sqrt (fma x (+ y z) (* y z)))

simplify116.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (39.0ms)

Iter	Nodes	Cost
0	106	164
1	261	147
2	833	144
3	4087	141
4	5001	141

prune115.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 21.9b

localize18.0ms

Local error

Found 4 expressions with local error:

1.0b	(+ (+ (* x y) (* x z)) (* y z))
1.0b	(+ (+ (* x y) (* x z)) (* y z))
20.8b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
20.8b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite28.0ms

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:

7.0ms	(+ (+ (* x y) (* x z)) (* y z))
7.0ms	(+ (+ (* x y) (* x z)) (* y z))
6.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
6.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series297.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+ (+ (* x y) (* x z)) (* y z))
24.0ms	(+ (+ (* x y) (* x z)) (* y z))
121.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
123.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify121.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 3 (112.0ms)

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

prune362.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 21.9b

localize18.0ms

Local error

Found 4 expressions with local error:

17.8b	(cbrt (+ (* x y) (* x z)))
17.8b	(cbrt (+ (* x y) (* x z)))
17.8b	(cbrt (+ (* x y) (* x z)))
20.8b	(sqrt (+ (* (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (cbrt (+ (* x y) (* x z)))) (* y z)))

rewrite34.0ms

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` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `sqrt-prod` `distribute-lft-out`
2×	`sqrt-div`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 65

Calls

4 calls:

4.0ms	(cbrt (+ (* x y) (* x z)))
4.0ms	(cbrt (+ (* x y) (* x z)))
4.0ms	(cbrt (+ (* x y) (* x z)))
20.0ms	(sqrt (+ (* (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (cbrt (+ (* x y) (* x z)))) (* y z)))

series512.0ms

Counts

4 → 12

Calls

4 calls:

133.0ms	(cbrt (+ (* x y) (* x z)))
128.0ms	(cbrt (+ (* x y) (* x z)))
126.0ms	(cbrt (+ (* x y) (* x z)))
124.0ms	(sqrt (+ (* (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (cbrt (+ (* x y) (* x z)))) (* y z)))

simplify100.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 3 (90.0ms)

Iter	Nodes	Cost
0	291	859
1	852	800
2	2886	779
3	5002	764

prune347.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 21.9b

regimes262.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	5
1	12	5

end0.0ms

sample872.0ms

Algorithm

intervals

Results

276.0ms	8000×	body	80	valid
270.0ms	7925×	body	80	nan