Details

sample51.0ms

Algorithm

intervals

Results

20.0ms	256×	body	80	valid
15.0ms	248×	body	80	nan

simplify15.0ms

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: 21.3b

localize10.0ms

Local error

Found 3 expressions with local error:

1.2b	(+ (+ (* x y) (* x z)) (* y z))
1.4b	(+ (* x y) (* x z))
20.1b	(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)))

series182.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(+ (+ (* x y) (* x z)) (* y z))
40.0ms	(+ (* x y) (* x z))
118.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify135.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 3 (130.0ms)

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

prune202.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 21.2b

localize13.0ms

Local error

Found 4 expressions with local error:

1.4b	(+ (* x y) (* x z))
1.4b	(+ (* x y) (* x z))
20.1b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
20.1b	(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)))

series313.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(+ (* x y) (* x z))
35.0ms	(+ (* x y) (* x z))
124.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
120.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify97.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (29.0ms)

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

prune324.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 21.2b

localize19.0ms

Local error

Found 4 expressions with local error:

1.4b	(+ (* x y) (* x z))
20.1b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
20.6b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
20.6b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite33.0ms

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` `fma-def` `sqrt-pow1` `pow1/2` `sum-log` `distribute-lft-out`

Counts

4 → 62

Calls

4 calls:

3.0ms	(+ (* x y) (* x z))
14.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
7.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
8.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

series620.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(+ (* x y) (* x z))
118.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
232.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
234.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

simplify102.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	302	634
1	971	589
2	3530	565
3	5001	565

prune422.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 21.2b

localize22.0ms

Local error

Found 4 expressions with local error:

20.1b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
20.6b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
20.6b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
20.6b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod` `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`
2×	`sqrt-div`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 62

Calls

4 calls:

17.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
7.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
7.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
7.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

series810.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
227.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
227.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
230.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

simplify81.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 3 (73.0ms)

Iter	Nodes	Cost
0	224	748
1	678	695
2	2435	662
3	5002	658

prune427.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 21.2b

regimes321.0ms

Accuracy

0% (0.1b remaining)

Error of 20.1b against oracle of 20.0b and baseline of 20.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7

end0.0ms

sample1.4s

Algorithm

intervals

Results

565.0ms	8000×	body	80	valid
516.0ms	8158×	body	80	nan