Details

sample21.0ms

Algorithm

intervals

Results

6.0ms	233×	body	80	valid
1.0ms	9×	body	1280	valid
1.0ms	8×	body	640	valid
0.0ms	2×	body	2560	valid
0.0ms	3×	body	320	valid
0.0ms	1×	body	160	valid

simplify309.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

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

localize6.0ms

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:

8.0ms

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

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

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

simplify34.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 2 (31.0ms)

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

prune71.0ms

Filtered

22 candidates to 17 candidates (22.7%)

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)

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

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

simplify44.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 2 (12.0ms)

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

prune44.0ms

Filtered

16 candidates to 12 candidates (25.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	13	3	16
Fresh	3	1	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))

rewrite37.0ms

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:

14.0ms	(* (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))

series1.1s

Counts

4 → 12

Calls

4 calls:

307.0ms	(* (cbrt (+ (* 2 (+ x y)) x)) (cbrt (+ (* 2 (+ x y)) x)))
265.0ms	(cbrt (+ (* 2 (+ x y)) x))
261.0ms	(cbrt (+ (* 2 (+ x y)) x))
262.0ms	(cbrt (+ (* 2 (+ x y)) x))

simplify44.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (33.0ms)

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

prune539.0ms

Filtered

99 candidates to 75 candidates (24.2%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	93	6	99
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	93	11	104

Merged error: 0.0b

Counts

104 → 11

localize15.0ms

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)))

rewrite27.0ms

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))
8.0ms	(cbrt (+ (* 2 (+ x y)) x))
5.0ms	(cbrt (+ (* 2 (+ x y)) x))
6.0ms	(cbrt (cbrt (+ (* 2 (+ x y)) x)))

series1.1s

Counts

4 → 12

Calls

4 calls:

259.0ms	(cbrt (+ (* 2 (+ x y)) x))
259.0ms	(cbrt (+ (* 2 (+ x y)) x))
261.0ms	(cbrt (+ (* 2 (+ x y)) x))
341.0ms	(cbrt (cbrt (+ (* 2 (+ x y)) x)))

simplify69.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 3 (61.0ms)

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

prune545.0ms

Filtered

67 candidates to 58 candidates (13.4%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	67	0	67
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	67	11	78

Merged error: 0.0b

Counts

78 → 11

regimes256.0ms

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

sample502.0ms

Algorithm

intervals

Results

177.0ms	7397×	body	80	valid
19.0ms	173×	body	1280	valid
15.0ms	179×	body	640	valid
9.0ms	132×	body	320	valid
5.0ms	42×	body	2560	valid
4.0ms	81×	body	160	valid

Details

sample21.0ms

simplify309.0ms

prune8.0ms

localize6.0ms

rewrite9.0ms

series27.0ms

simplify34.0ms

prune71.0ms

localize6.0ms

rewrite6.0ms

series36.0ms

simplify44.0ms

prune44.0ms

localize10.0ms

rewrite37.0ms

series1.1s

simplify44.0ms

prune539.0ms

localize15.0ms

rewrite27.0ms

series1.1s

simplify69.0ms

prune545.0ms

regimes256.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample502.0ms

Profiling