Details

sample32.0ms

Algorithm

intervals

Results

9.0ms	266×	body	80	nan
8.0ms	256×	body	80	valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	21	7
1	33	7
2	42	7
3	44	7
4	44	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.3b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x y) (* x z))
1.2b	(+ (+ (* x y) (* x z)) (* y z))
17.3b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
5×	`add-sqr-sqrt`
4×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sum-log`
3×	`add-exp-log` `flip3-+` `sqrt-prod` `add-cbrt-cube` `flip-+`
2×	`+-commutative` `sqrt-div`
1×	`rem-sqrt-square` `associate-+l+` `sqrt-pow1` `pow1/2` `distribute-lft-out`

Counts

3 → 40

Calls

3 calls:

3.0ms	(+ (* x y) (* x z))
11.0ms	(+ (+ (* x y) (* x z)) (* y z))
13.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series160.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(+ (* x y) (* x z))
20.0ms	(+ (+ (* x y) (* x z)) (* y z))
110.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify118.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	249	355
1	908	322
2	3660	314
3	5001	314

prune131.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 18.2b

localize12.0ms

Local error

Found 4 expressions with local error:

1.2b	(+ (+ (* x y) (* x z)) (* y z))
1.2b	(+ (+ (* x y) (* x z)) (* y z))
17.3b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
17.3b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-log-exp`
8×	`add-sqr-sqrt`
6×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sum-log` `sqrt-prod`
4×	`add-exp-log` `flip3-+` `sqrt-div` `add-cbrt-cube` `flip-+`
2×	`+-commutative` `rem-sqrt-square` `associate-+l+` `sqrt-pow1` `pow1/2`

Counts

4 → 56

Calls

4 calls:

12.0ms	(+ (+ (* x y) (* x z)) (* y z))
11.0ms	(+ (+ (* x y) (* x z)) (* y z))
13.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
13.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series255.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(+ (+ (* x y) (* x z)) (* y z))
21.0ms	(+ (+ (* x y) (* x z)) (* y z))
106.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
107.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify100.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	186	576
1	666	520
2	2872	508
3	5001	508

prune226.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 18.2b

localize22.0ms

Local error

Found 4 expressions with local error:

17.3b	(sqrt (* (* (cbrt (+ (+ (* x y) (* x z)) (* y z))) (cbrt (+ (+ (* x y) (* x z)) (* y z)))) (cbrt (+ (+ (* x y) (* x z)) (* y z)))))
17.8b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
17.8b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
17.8b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
30×	`flip3-+` `flip-+`
28×	`frac-times`
26×	`sqrt-div`
24×	`pow1`
15×	`sqrt-pow1`
14×	`associate-*l/`
12×	`pow1/3`
9×	`cbrt-prod` `pow-prod-up`
8×	`associate-*r/`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow-plus`
5×	`pow-prod-down`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`pow-sqr`
2×	`pow2`
1×	`pow1/2` `pow3` `sqrt-prod`

Counts

4 → 89

Calls

4 calls:

79.0ms	(sqrt (* (* (cbrt (+ (+ (* x y) (* x z)) (* y z))) (cbrt (+ (+ (* x y) (* x z)) (* y z)))) (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)))
7.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

series716.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(sqrt (* (* (cbrt (+ (+ (* x y) (* x z)) (* y z))) (cbrt (+ (+ (* x y) (* x z)) (* y z)))) (cbrt (+ (+ (* x y) (* x z)) (* y z)))))
199.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
208.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
203.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

simplify117.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 3 (100.0ms)

Iter	Nodes	Cost
0	359	2154
1	863	2082
2	3042	2037
3	5001	1939

prune383.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 18.2b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

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

series815.0ms

Counts

4 → 12

Calls

4 calls:

211.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
197.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
195.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
212.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

simplify57.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 3 (49.0ms)

Iter	Nodes	Cost
0	152	700
1	460	648
2	1660	612
3	5002	608

prune392.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 18.2b

regimes197.0ms

Accuracy

0% (0.1b remaining)

Error of 20.2b against oracle of 20.1b and baseline of 20.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7

end0.0ms

sample855.0ms

Algorithm

intervals

Results

267.0ms	7941×	body	80	nan
265.0ms	8000×	body	80	valid