Details

sample44.0ms

Algorithm

intervals

Results

10.0ms	262×	body	80	nan
10.0ms	256×	body	80	valid

simplify8.0ms

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 (100.0%)

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: 16.0b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

1.4b	(+ (* x y) (* x z))
1.6b	(+ (+ (* x y) (* x z)) (* y z))
15.1b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite15.0ms

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:

3.0ms	(+ (* x y) (* x z))
6.0ms	(+ (+ (* x y) (* x z)) (* y z))
5.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series47.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(+ (* x y) (* x z))
7.0ms	(+ (+ (* x y) (* x z)) (* y z))
33.0ms	(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 (22.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	45	4	49
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	45	5	50

Merged error: 15.9b

Counts

50 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

1.6b	(+ (+ (* x y) (* x z)) (* y z))
1.6b	(+ (+ (* x y) (* x z)) (* y z))
15.1b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
15.1b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite25.0ms

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

series75.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(+ (+ (* x y) (* x z)) (* y z))
7.0ms	(+ (+ (* x y) (* x z)) (* y z))
31.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
31.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify103.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (23.0ms)

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

prune282.0ms

Filtered

68 candidates to 54 candidates (20.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	68	5	73

Merged error: 15.9b

Counts

73 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

12.2b	(cbrt (+ (* x y) (* x z)))
12.2b	(cbrt (+ (* x y) (* x z)))
12.2b	(cbrt (+ (* x y) (* x z)))
15.1b	(sqrt (+ (* (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (cbrt (+ (* x y) (* x z)))) (* y z)))

rewrite30.0ms

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)))
20.0ms	(sqrt (+ (* (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (cbrt (+ (* x y) (* x z)))) (* y z)))

series118.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(cbrt (+ (* x y) (* x z)))
30.0ms	(cbrt (+ (* x y) (* x z)))
28.0ms	(cbrt (+ (* x y) (* x z)))
31.0ms	(sqrt (+ (* (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (cbrt (+ (* x y) (* x z)))) (* y z)))

simplify83.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 3 (75.0ms)

Iter	Nodes	Cost
0	280	815
1	845	762
2	2939	753
3	5001	737

prune528.0ms

Filtered

69 candidates to 63 candidates (8.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	69	5	74

Merged error: 15.9b

Counts

74 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

15.1b	(sqrt (* (* (cbrt (+ (+ (* x y) (* x z)) (* y z))) (cbrt (+ (+ (* x y) (* x z)) (* y z)))) (cbrt (+ (+ (* x y) (* x z)) (* y z)))))
15.7b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
15.7b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
15.7b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
30×	`flip3-+` `flip-+`
28×	`frac-times`
26×	`sqrt-div`
24×	`pow1`
15×	`sqrt-pow1`
14×	`associate-*l/`
12×	`pow1/3`
9×	`cbrt-prod` `pow-prod-up`
8×	`associate-*r/`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow-plus`
5×	`pow-prod-down`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`pow-sqr`
2×	`pow2`
1×	`pow1/2` `pow3` `sqrt-prod`

Counts

4 → 89

Calls

4 calls:

21.0ms	(sqrt (* (* (cbrt (+ (+ (* x y) (* x z)) (* y z))) (cbrt (+ (+ (* x y) (* x z)) (* y z)))) (cbrt (+ (+ (* x y) (* x z)) (* y z)))))
5.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
5.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
5.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

series200.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(sqrt (* (* (cbrt (+ (+ (* x y) (* x z)) (* y z))) (cbrt (+ (+ (* x y) (* x z)) (* y z)))) (cbrt (+ (+ (* x y) (* x z)) (* y z)))))
56.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
54.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
57.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

simplify163.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 3 (141.0ms)

Iter	Nodes	Cost
0	366	2169
1	967	2109
2	4215	2076
3	5001	1972

prune504.0ms

Filtered

101 candidates to 69 candidates (31.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	100	1	101
Fresh	0	1	1
Picked	1	0	1
Done	1	2	3
Total	102	4	106

Merged error: 15.9b

Counts

106 → 4

regimes345.0ms

Accuracy

0% (0.0b remaining)

Error of 19.9b against oracle of 19.9b and baseline of 19.9b

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

337.0ms	8000×	body	80	valid
314.0ms	7946×	body	80	nan

Details

sample44.0ms

simplify8.0ms

prune4.0ms

localize10.0ms

rewrite15.0ms

series47.0ms

simplify119.0ms

prune205.0ms

localize12.0ms

rewrite25.0ms

series75.0ms

simplify103.0ms

prune282.0ms

localize14.0ms

rewrite30.0ms

series118.0ms

simplify83.0ms

prune528.0ms

localize16.0ms

rewrite40.0ms

series200.0ms

simplify163.0ms

prune504.0ms

regimes345.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.2s

Profiling