Details

sample30.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
8.0ms	243×	body	80	nan

simplify16.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.2b

localize15.0ms

Local error

Found 3 expressions with local error:

1.4b	(+ (+ (* x y) (* x z)) (* y z))
1.6b	(+ (* x y) (* x z))
17.2b	(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))
15.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series179.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(+ (+ (* x y) (* x z)) (* y z))
38.0ms	(+ (* x y) (* x z))
117.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify139.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 3 (133.0ms)

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

prune191.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 18.1b

localize10.0ms

Local error

Found 3 expressions with local error:

1.0b	(fma x z (* y z))
1.6b	(+ (* x y) (fma x z (* y z)))
17.2b	(sqrt (+ (* x y) (fma x z (* y z))))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 42

Calls

3 calls:

0.0ms	(fma x z (* y z))
3.0ms	(+ (* x y) (fma x z (* y z)))
4.0ms	(sqrt (+ (* x y) (fma x z (* y z))))

series190.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(fma x z (* y z))
26.0ms	(+ (* x y) (fma x z (* y z)))
128.0ms	(sqrt (+ (* x y) (fma x z (* y z))))

simplify90.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	188	299
1	659	276
2	2794	273
3	5001	273

prune179.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 18.1b

localize13.0ms

Local error

Found 4 expressions with local error:

1.6b	(+ (* x y) (fma x z (* y z)))
1.6b	(+ (* x y) (fma x z (* y z)))
17.2b	(sqrt (+ (* x y) (fma x z (* y z))))
17.2b	(sqrt (+ (* x y) (fma x z (* y z))))

rewrite20.0ms

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` `associate-+r+` `fma-def` `sqrt-pow1` `pow1/2` `sum-log` `fma-udef`

Counts

4 → 64

Calls

4 calls:

6.0ms	(+ (* x y) (fma x z (* y z)))
3.0ms	(+ (* x y) (fma x z (* y z)))
4.0ms	(sqrt (+ (* x y) (fma x z (* y z))))
4.0ms	(sqrt (+ (* x y) (fma x z (* y z))))

series301.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ (* x y) (fma x z (* y z)))
25.0ms	(+ (* x y) (fma x z (* y z)))
125.0ms	(sqrt (+ (* x y) (fma x z (* y z))))
125.0ms	(sqrt (+ (* x y) (fma x z (* y z))))

simplify91.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	180	522
1	592	476
2	2516	470
3	5001	470

prune318.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 18.1b

localize20.0ms

Local error

Found 4 expressions with local error:

1.6b	(+ (* x y) (fma x z (* y z)))
17.2b	(sqrt (+ (* x y) (fma x z (* y z))))
17.8b	(cbrt (+ (* x y) (fma x z (* y z))))
17.8b	(cbrt (+ (* x y) (fma x z (* y z))))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 62

Calls

4 calls:

3.0ms	(+ (* x y) (fma x z (* y z)))
4.0ms	(sqrt (+ (* x y) (fma x z (* y z))))
2.0ms	(cbrt (+ (* x y) (fma x z (* y z))))
3.0ms	(cbrt (+ (* x y) (fma x z (* y z))))

series626.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ (* x y) (fma x z (* y z)))
121.0ms	(sqrt (+ (* x y) (fma x z (* y z))))
243.0ms	(cbrt (+ (* x y) (fma x z (* y z))))
237.0ms	(cbrt (+ (* x y) (fma x z (* y z))))

simplify90.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	254	590
1	746	545
2	2902	524
3	5002	524

prune385.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 18.1b

regimes189.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	6
1	14	6

end0.0ms

sample854.0ms

Algorithm

intervals

Results

271.0ms	8000×	body	80	valid
253.0ms	8093×	body	80	nan