Details

sample43.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
10.0ms	256×	body	80	nan

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune4.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 20.4b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.4b	(+ (* x y) (* x z))
1.8b	(+ (+ (* x y) (* x z)) (* y z))
19.4b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite16.0ms

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:

4.0ms	(+ (* x y) (* x z))
6.0ms	(+ (+ (* x y) (* x z)) (* y z))
5.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series249.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(+ (* x y) (* x z))
20.0ms	(+ (+ (* x y) (* x z)) (* y z))
199.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify119.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	256	358
1	972	331
2	3980	326
3	5002	326

prune205.0ms

Filtered

49 candidates to 38 candidates (77.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	43	6	49
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	43	7	50

Merged error: 20.4b

Counts

50 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

1.8b	(+ (+ (* x y) (* x z)) (* y z))
1.8b	(+ (+ (* x y) (* x z)) (* y z))
19.4b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
19.4b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite27.0ms

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:

6.0ms	(+ (+ (* x y) (* x z)) (* y z))
6.0ms	(+ (+ (* x y) (* x z)) (* y z))
8.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
5.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series446.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(+ (+ (* x y) (* x z)) (* y z))
24.0ms	(+ (+ (* x y) (* x z)) (* y z))
201.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
200.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify104.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	193	582
1	729	538
2	3189	532
3	5003	532

prune307.0ms

Filtered

68 candidates to 54 candidates (79.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	68	7	75

Merged error: 20.4b

Counts

75 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

15.2b	(cbrt (+ (* x y) (* x z)))
15.2b	(cbrt (+ (* x y) (* x z)))
15.2b	(cbrt (+ (* x y) (* x z)))
19.4b	(sqrt (+ (* (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (cbrt (+ (* x y) (* x z)))) (* y z)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
9×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-div`
5×	`pow1`
4×	`add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+` `add-log-exp`
3×	`pow1/3` `sqrt-prod` `distribute-lft-out`
2×	`sqrt-div`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 57

Calls

4 calls:

3.0ms	(cbrt (+ (* x y) (* x z)))
3.0ms	(cbrt (+ (* x y) (* x z)))
3.0ms	(cbrt (+ (* x y) (* x z)))
21.0ms	(sqrt (+ (* (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (cbrt (+ (* x y) (* x z)))) (* y z)))

series535.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(cbrt (+ (* x y) (* x z)))
112.0ms	(cbrt (+ (* x y) (* x z)))
107.0ms	(cbrt (+ (* x y) (* x z)))
207.0ms	(sqrt (+ (* (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (cbrt (+ (* x y) (* x z)))) (* y z)))

simplify85.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 3 (77.0ms)

Iter	Nodes	Cost
0	280	797
1	816	744
2	2733	726
3	5001	719

prune360.0ms

Filtered

69 candidates to 66 candidates (95.7%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	68	1	69
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	68	8	76

Merged error: 20.4b

Counts

76 → 8

localize20.0ms

Local error

Found 4 expressions with local error:

15.2b	(cbrt (+ (* x y) (* x z)))
15.2b	(cbrt (+ (* x y) (* x z)))
15.2b	(cbrt (+ (* x y) (* x z)))
19.4b	(sqrt (+ (* (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (* (cbrt (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z))))) (cbrt (cbrt (+ (* x y) (* x z)))))) (* y z)))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
9×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-div`
5×	`pow1`
4×	`add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+` `add-log-exp`
3×	`pow1/3` `sqrt-prod` `distribute-lft-out`
2×	`sqrt-div`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 57

Calls

4 calls:

4.0ms	(cbrt (+ (* x y) (* x z)))
6.0ms	(cbrt (+ (* x y) (* x z)))
3.0ms	(cbrt (+ (* x y) (* x z)))
39.0ms	(sqrt (+ (* (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (* (cbrt (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z))))) (cbrt (cbrt (+ (* x y) (* x z)))))) (* y z)))

series532.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(cbrt (+ (* x y) (* x z)))
108.0ms	(cbrt (+ (* x y) (* x z)))
108.0ms	(cbrt (+ (* x y) (* x z)))
206.0ms	(sqrt (+ (* (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (* (cbrt (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z))))) (cbrt (cbrt (+ (* x y) (* x z)))))) (* y z)))

simplify123.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 3 (112.0ms)

Iter	Nodes	Cost
0	289	1050
1	912	994
2	3480	967
3	5001	960

prune392.0ms

Filtered

69 candidates to 67 candidates (97.1%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	69	8	77

Merged error: 20.4b

Counts

77 → 8

regimes440.0ms

Accuracy

0% (0.1b remaining)

Error of 19.5b against oracle of 19.5b and baseline of 19.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7

end0.0ms

sample1.2s

Algorithm

intervals

Results

326.0ms	8000×	body	80	valid
309.0ms	7960×	body	80	nan

Details

sample43.0ms

simplify7.0ms

prune4.0ms

localize9.0ms

rewrite16.0ms

series249.0ms

simplify119.0ms

prune205.0ms

localize12.0ms

rewrite27.0ms

series446.0ms

simplify104.0ms

prune307.0ms

localize14.0ms

rewrite33.0ms

series535.0ms

simplify85.0ms

prune360.0ms

localize20.0ms

rewrite53.0ms

series532.0ms

simplify123.0ms

prune392.0ms

regimes440.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.2s

Profiling