Details

sample16.0ms

Algorithm

intervals

Results

6.0ms	237×	body	80	valid
1.0ms	7×	body	1280	valid
0.0ms	3×	body	2560	valid
0.0ms	4×	body	640	valid
0.0ms	4×	body	320	valid
0.0ms	2×	body	160	valid

simplify309.0ms

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	3921	4
13	5001	4

prune5.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	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 3 expressions with local error:

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

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity` `add-log-exp`
24×	`sum-log` `distribute-lft-out`
3×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+l+` `flip3-+` `add-cbrt-cube` `flip-+`

Counts

3 → 53

Calls

3 calls:

12.0ms	(+ (+ (+ x y) y) x)
6.0ms	(+ (+ x y) y)
16.0ms	(+ (+ (+ (+ (+ x y) y) x) z) x)

series76.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(+ (+ (+ x y) y) x)
23.0ms	(+ (+ x y) y)
23.0ms	(+ (+ (+ (+ (+ x y) y) x) z) x)

simplify34.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	249	320
1	929	288
2	5001	270

prune93.0ms

Filtered

62 candidates to 37 candidates (59.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	56	6	62
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	56	7	63

Merged error: 0.0b

Counts

63 → 7

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* 3 x) (+ z (* 2 y)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
3×	`sum-log`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r+` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`

Counts

1 → 13

Calls

1 calls:

5.0ms

(+ (* 3 x) (+ z (* 2 y)))

series25.0ms

Counts

1 → 3

Calls

1 calls:

24.0ms

(+ (* 3 x) (+ z (* 2 y)))

simplify57.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	111	103
1	430	94
2	2103	94
3	5001	94

prune33.0ms

Filtered

16 candidates to 11 candidates (68.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	14	2	16
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	16	7	23

Merged error: 0.0b

Counts

23 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (+ (+ x y) y) x)) (cbrt (+ (+ (+ x y) y) x)))
0.5b	(cbrt (+ (+ (+ x y) y) x))
0.5b	(cbrt (+ (+ (+ x y) y) x))
0.5b	(cbrt (+ (+ (+ x y) y) x))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

138×	`*-un-lft-identity`
78×	`distribute-lft-out`
70×	`cbrt-prod`
23×	`add-sqr-sqrt`
21×	`swap-sqr`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `associate-r` `associate-l` `flip-+`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 117

Calls

4 calls:

20.0ms	(* (cbrt (+ (+ (+ x y) y) x)) (cbrt (+ (+ (+ x y) y) x)))
8.0ms	(cbrt (+ (+ (+ x y) y) x))
10.0ms	(cbrt (+ (+ (+ x y) y) x))
8.0ms	(cbrt (+ (+ (+ x y) y) x))

series887.0ms

Counts

4 → 12

Calls

4 calls:

249.0ms	(* (cbrt (+ (+ (+ x y) y) x)) (cbrt (+ (+ (+ x y) y) x)))
217.0ms	(cbrt (+ (+ (+ x y) y) x))
211.0ms	(cbrt (+ (+ (+ x y) y) x))
209.0ms	(cbrt (+ (+ (+ x y) y) x))

simplify48.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	304	1356
1	1020	1291
2	5002	1100

prune254.0ms

Filtered

129 candidates to 78 candidates (60.5%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	129	7	136

Merged error: 0.0b

Counts

136 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* 3 x) (+ z (* 2 y)))) (cbrt (+ (* 3 x) (+ z (* 2 y)))))
0.5b	(cbrt (+ (* 3 x) (+ z (* 2 y))))
0.5b	(cbrt (+ (* 3 x) (+ z (* 2 y))))
0.5b	(cbrt (+ (* 3 x) (+ z (* 2 y))))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

13.0ms	(* (cbrt (+ (* 3 x) (+ z (* 2 y)))) (cbrt (+ (* 3 x) (+ z (* 2 y)))))
4.0ms	(cbrt (+ (* 3 x) (+ z (* 2 y))))
5.0ms	(cbrt (+ (* 3 x) (+ z (* 2 y))))
4.0ms	(cbrt (+ (* 3 x) (+ z (* 2 y))))

series1.0s

Counts

4 → 12

Calls

4 calls:

303.0ms	(* (cbrt (+ (* 3 x) (+ z (* 2 y)))) (cbrt (+ (* 3 x) (+ z (* 2 y)))))
248.0ms	(cbrt (+ (* 3 x) (+ z (* 2 y))))
244.0ms	(cbrt (+ (* 3 x) (+ z (* 2 y))))
243.0ms	(cbrt (+ (* 3 x) (+ z (* 2 y))))

simplify138.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (126.0ms)

Iter	Nodes	Cost
0	302	1268
1	978	1183
2	4778	1102
3	5001	1095

prune255.0ms

Filtered

99 candidates to 75 candidates (75.8%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	95	4	99
Fresh	1	2	3
Picked	0	1	1
Done	1	2	3
Total	97	9	106

Merged error: 0.0b

Counts

106 → 9

regimes129.0ms

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

sample398.0ms

Algorithm

intervals

Results

187.0ms	7393×	body	80	valid
23.0ms	206×	body	1280	valid
17.0ms	192×	body	640	valid
8.0ms	69×	body	160	valid
7.0ms	110×	body	320	valid
6.0ms	40×	body	2560	valid