Details

sample19.0ms

Algorithm

intervals

Results

6.0ms	238×	body	80	valid
1.0ms	6×	body	1280	valid
1.0ms	6×	body	640	valid
0.0ms	5×	body	320	valid
0.0ms	1×	body	160	valid

simplify327.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	20	5
1	64	4
2	203	4
3	327	4
4	339	4
5	345	4
6	413	4
7	516	4
8	561	4
9	700	4
10	909	4
11	1271	4
12	3907	4
13	5001	4

prune8.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.1b

Counts

2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* 2 (+ x y)) (+ x z))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
5×	`flip3-+` `flip-+`
4×	`associate-*r/` `frac-add`
3×	`sum-log`
2×	`associate-+l+`
1×	`pow1` `add-exp-log` `+-commutative` `distribute-rgt-in` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r+` `*-un-lft-identity` `distribute-lft-in` `add-cbrt-cube`

Counts

1 → 19

Calls

1 calls:

9.0ms

(+ (* 2 (+ x y)) (+ x z))

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

(+ (* 2 (+ x y)) (+ x z))

simplify39.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	275	199
1	1174	190
2	5001	185

prune53.0ms

Filtered

17 candidates to 22 candidates (-29.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	17	5	22
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	17	6	23

Merged error: 0.0b

Counts

23 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z))))
0.6b	(cbrt (+ (* 2 (+ x y)) (+ x z)))
0.6b	(cbrt (+ (* 2 (+ x y)) (+ x z)))
0.6b	(cbrt (+ (* 2 (+ x y)) (+ x z)))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

102×	`cbrt-div`
85×	`flip3-+` `flip-+`
74×	`associate-*r/`
68×	`frac-add`
36×	`frac-times`
25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l` `associate-*l/`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 139

Calls

4 calls:

22.0ms	(* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z))))
8.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
8.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
11.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))

series199.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z))))
44.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
45.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
49.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))

simplify91.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	523	3313
1	1956	3234
2	5002	3164

prune402.0ms

Filtered

109 candidates to 151 candidates (-38.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	148	3	151
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	148	9	157

Merged error: 0.0b

Counts

157 → 9

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ (* 2 (+ x y)) (+ x z)))
0.6b	(cbrt (+ (* 2 (+ x y)) (+ x z)))
0.6b	(cbrt (+ (* 2 (+ x y)) (+ x z)))
0.6b	(cbrt (+ (* 2 (+ x y)) (+ x z)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 68

Calls

4 calls:

9.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
8.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
8.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
8.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))

series185.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
45.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
44.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
48.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))

simplify47.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	320	1076
1	1163	1032
2	5001	988

prune481.0ms

Filtered

76 candidates to 80 candidates (-5.3%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	80	9	89

Merged error: 0.0b

Counts

89 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 2 (+ x y)) (+ x z))
0.0b	(sqrt (+ (* 2 (+ x y)) (+ x z)))
0.0b	(sqrt (+ (* 2 (+ x y)) (+ x z)))
0.3b	(* (sqrt (+ (* 2 (+ x y)) (+ x z))) (sqrt (+ (* 2 (+ x y)) (+ x z))))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

96×	`sqrt-div`
85×	`flip3-+` `flip-+`
74×	`associate-*r/`
68×	`frac-add`
36×	`frac-times`
28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`add-log-exp`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `associate-*l/` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`unswap-sqr`
3×	`pow-prod-down` `sum-log` `pow-sqr`
2×	`rem-sqrt-square` `associate-+l+`
1×	`+-commutative` `pow2` `distribute-rgt-in` `associate-+r+` `distribute-lft-in` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 154

Calls

4 calls:

11.0ms	(+ (* 2 (+ x y)) (+ x z))
8.0ms	(sqrt (+ (* 2 (+ x y)) (+ x z)))
8.0ms	(sqrt (+ (* 2 (+ x y)) (+ x z)))
22.0ms	(* (sqrt (+ (* 2 (+ x y)) (+ x z))) (sqrt (+ (* 2 (+ x y)) (+ x z))))

series47.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(+ (* 2 (+ x y)) (+ x z))
13.0ms	(sqrt (+ (* 2 (+ x y)) (+ x z)))
13.0ms	(sqrt (+ (* 2 (+ x y)) (+ x z)))
16.0ms	(* (sqrt (+ (* 2 (+ x y)) (+ x z))) (sqrt (+ (* 2 (+ x y)) (+ x z))))

simplify102.0ms

Algorithm

egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	520	2852
1	2294	2780
2	5002	2759

prune256.0ms

Filtered

101 candidates to 166 candidates (-64.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	164	2	166
Fresh	1	4	5
Picked	1	0	1
Done	1	2	3
Total	167	8	175

Merged error: 0.0b

Counts

175 → 8

regimes232.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	4
1	13	4

end0.0ms

sample487.0ms

Algorithm

intervals

Results

208.0ms	7402×	body	80	valid
23.0ms	212×	body	640	valid
19.0ms	154×	body	1280	valid
9.0ms	117×	body	320	valid
7.0ms	47×	body	2560	valid
4.0ms	79×	body	160	valid

Details

sample19.0ms

simplify327.0ms

prune8.0ms

localize7.0ms

rewrite9.0ms

series6.0ms

simplify39.0ms

prune53.0ms

localize11.0ms

rewrite58.0ms

series199.0ms

simplify91.0ms

prune402.0ms

localize20.0ms

rewrite36.0ms

series185.0ms

simplify47.0ms

prune481.0ms

localize9.0ms

rewrite60.0ms

series47.0ms

simplify102.0ms

prune256.0ms

regimes232.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample487.0ms

Profiling