Details

sample16.0ms

Algorithm

intervals

Results

6.0ms	236×	body	80	valid
1.0ms	11×	body	640	valid
0.0ms	3×	body	1280	valid
0.0ms	4×	body	160	valid
0.0ms	2×	body	320	valid

simplify302.0ms

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

prune4.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

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:

11.0ms

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

series22.0ms

Counts

1 → 3

Calls

1 calls:

22.0ms

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

simplify33.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 2 (29.0ms)

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

prune52.0ms

Filtered

22 candidates to 17 candidates (77.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	17	5	22
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	18	5	23

Merged error: 0.0b

Counts

23 → 5

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 13

Calls

1 calls:

6.0ms

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

series31.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

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

simplify42.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	95	81
1	337	74
2	1582	73
3	5001	73

prune35.0ms

Filtered

16 candidates to 12 candidates (75.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	12	4	16
Fresh	4	0	4
Picked	0	1	1
Done	0	0	0
Total	16	5	21

Merged error: 0.0b

Counts

21 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

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:

15.0ms	(* (cbrt (+ (* 2 (+ x y)) x)) (cbrt (+ (* 2 (+ x y)) x)))
6.0ms	(cbrt (+ (* 2 (+ x y)) x))
6.0ms	(cbrt (+ (* 2 (+ x y)) x))
6.0ms	(cbrt (+ (* 2 (+ x y)) x))

series923.0ms

Counts

4 → 12

Calls

4 calls:

258.0ms	(* (cbrt (+ (* 2 (+ x y)) x)) (cbrt (+ (* 2 (+ x y)) x)))
226.0ms	(cbrt (+ (* 2 (+ x y)) x))
217.0ms	(cbrt (+ (* 2 (+ x y)) x))
221.0ms	(cbrt (+ (* 2 (+ x y)) x))

simplify42.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	310	1085
1	1083	1020
2	5001	949

prune245.0ms

Filtered

99 candidates to 75 candidates (75.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	98	6	104

Merged error: 0.0b

Counts

104 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (* 2 (+ x y)) x))
0.5b	(cbrt (+ (* 2 (+ x y)) x))
0.5b	(cbrt (+ (* 2 (+ x y)) x))
0.6b	(cbrt (cbrt (+ (* 2 (+ x y)) x)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 55

Calls

4 calls:

6.0ms	(cbrt (+ (* 2 (+ x y)) x))
6.0ms	(cbrt (+ (* 2 (+ x y)) x))
6.0ms	(cbrt (+ (* 2 (+ x y)) x))
6.0ms	(cbrt (cbrt (+ (* 2 (+ x y)) x)))

series983.0ms

Counts

4 → 12

Calls

4 calls:

227.0ms	(cbrt (+ (* 2 (+ x y)) x))
233.0ms	(cbrt (+ (* 2 (+ x y)) x))
226.0ms	(cbrt (+ (* 2 (+ x y)) x))
297.0ms	(cbrt (cbrt (+ (* 2 (+ x y)) x)))

simplify70.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 3 (62.0ms)

Iter	Nodes	Cost
0	253	649
1	684	611
2	2779	589
3	5001	574

prune225.0ms

Filtered

67 candidates to 58 candidates (86.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	66	1	67
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	67	6	73

Merged error: 0.0b

Counts

73 → 6

regimes83.0ms

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	12	4
1	12	4

end0.0ms

sample401.0ms

Algorithm

intervals

Results

192.0ms	7404×	body	80	valid
22.0ms	198×	body	1280	valid
16.0ms	178×	body	640	valid
9.0ms	136×	body	320	valid
4.0ms	33×	body	2560	valid
3.0ms	60×	body	160	valid

Details

sample16.0ms

simplify302.0ms

prune4.0ms

localize6.0ms

rewrite12.0ms

series22.0ms

simplify33.0ms

prune52.0ms

localize6.0ms

rewrite6.0ms

series31.0ms

simplify42.0ms

prune35.0ms

localize10.0ms

rewrite35.0ms

series923.0ms

simplify42.0ms

prune245.0ms

localize14.0ms

rewrite25.0ms

series983.0ms

simplify70.0ms

prune225.0ms

regimes83.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample401.0ms

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