Details

analyze935.0ms

Algorithm

sampling

Space saved by range analysis: 0.146413%

Space saved by search: 42.88465%

Guaranteed chance to sample good point: 74.843942%

sample25.0ms

Algorithm

intervals

Results

13.0ms	256×	body	80	valid
2.0ms	40×	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

prune3.0ms

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: 21.8b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.8b	(+ (* x y) (* x z))
2.2b	(+ (+ (* x y) (* x z)) (* y z))
20.7b	(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)))

series48.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(+ (* x y) (* x z))
7.0ms	(+ (+ (* x y) (* x z)) (* y z))
33.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify116.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 2 (27.0ms)

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

prune78.0ms

Filtered

38 candidates to 49 candidates (-28.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	44	5	49
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	44	6	50

Merged error: 21.8b

Counts

50 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

2.2b	(+ (+ (* x y) (* x z)) (* y z))
2.2b	(+ (+ (* x y) (* x z)) (* y z))
20.7b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
20.7b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite23.0ms

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

series81.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(+ (+ (* x y) (* x z)) (* y z))
7.0ms	(+ (+ (* x y) (* x z)) (* y z))
32.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
34.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify96.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (20.0ms)

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

prune99.0ms

Filtered

54 candidates to 68 candidates (-25.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	66	2	68
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	67	7	74

Merged error: 21.8b

Counts

74 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

20.7b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
20.7b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
20.7b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
20.7b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `sqrt-prod`
8×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-div`
4×	`add-exp-log` `rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

4 → 60

Calls

4 calls:

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

series135.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
35.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
33.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
33.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify71.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	148	680
1	535	656
2	2047	656
3	5002	656

prune119.0ms

Filtered

64 candidates to 72 candidates (-12.5%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	72	7	79

Merged error: 21.8b

Counts

79 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

20.7b	(sqrt (* (* (cbrt (+ (+ (* x y) (* x z)) (* y z))) (cbrt (+ (+ (* x y) (* x z)) (* y z)))) (cbrt (+ (+ (* x y) (* x z)) (* y z)))))
21.3b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
21.3b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
21.3b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite45.0ms

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:

23.0ms	(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)))
7.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

series213.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(sqrt (* (* (cbrt (+ (+ (* x y) (* x z)) (* y z))) (cbrt (+ (+ (* x y) (* x z)) (* y z)))) (cbrt (+ (+ (* x y) (* x z)) (* y z)))))
60.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
57.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
60.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

simplify176.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 3 (148.0ms)

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

prune115.0ms

Filtered

69 candidates to 101 candidates (-46.4%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	99	2	101
Fresh	0	3	3
Picked	1	0	1
Done	0	3	3
Total	100	8	108

Merged error: 21.8b

Counts

108 → 8

regimes419.0ms

Accuracy

0% (0.1b remaining)

Error of 19.9b against oracle of 19.8b 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

analyze1.1s

Algorithm

sampling

Space saved by range analysis: 0.146413%

Space saved by search: 42.88465%

Guaranteed chance to sample good point: 74.843942%

sample599.0ms

Algorithm

intervals

Results

357.0ms	8000×	body	80	valid
49.0ms	1107×	body	80	nan

Details

analyze935.0ms

sample25.0ms

simplify7.0ms

prune3.0ms

localize9.0ms

rewrite15.0ms

series48.0ms

simplify116.0ms

prune78.0ms

localize11.0ms

rewrite23.0ms

series81.0ms

simplify96.0ms

prune99.0ms

localize18.0ms

rewrite26.0ms

series135.0ms

simplify71.0ms

prune119.0ms

localize14.0ms

rewrite45.0ms

series213.0ms

simplify176.0ms

prune115.0ms

regimes419.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze1.1s

sample599.0ms

Profiling