Details

analyze451.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
6.2%	93.6%	0.1%	6
12.5%	87.4%	0.1%	7
15.6%	84.3%	0.1%	8
18.7%	71.8%	9.5%	9
23.4%	56%	20.6%	10
26.3%	52.2%	21.5%	11
31%	40.1%	28.9%	12
35.6%	28.9%	35.5%	13
36.8%	27.5%	35.7%	14

sample40.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	37	12
1	37	12

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: 18.1b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* z (+ x y))
0.6b	(+ (* x y) (* z (+ x y)))
17.2b	(sqrt (+ (* x y) (* z (+ x y))))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
8×	`*-un-lft-identity`
6×	`pow1` `add-cube-cbrt`
5×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`associate-r`
3×	`flip3-+` `associate-l` `sqrt-prod` `flip-+`
2×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `sqrt-div` `associate-*r/`
1×	`+-commutative` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

3 → 51

Calls

3 calls:

6.0ms	(* z (+ x y))
4.0ms	(+ (* x y) (* z (+ x y)))
7.0ms	(sqrt (+ (* x y) (* z (+ x y))))

series45.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(* z (+ x y))
7.0ms	(+ (* x y) (* z (+ x y)))
32.0ms	(sqrt (+ (* x y) (* z (+ x y))))

simplify45.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4917	621
1	4917	621

prune93.0ms

Filtered

43 candidates to 60 candidates (-39.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	55	5	60
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	55	6	61

Merged error: 18.1b

Counts

61 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(+ (* x y) (* z (+ x y)))
0.6b	(+ (* x y) (* z (+ x y)))
17.2b	(sqrt (+ (* x y) (* z (+ x y))))
17.2b	(sqrt (+ (* x y) (* z (+ x y))))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `add-log-exp`
6×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
4×	`add-exp-log` `associate-+r+` `flip3-+` `sqrt-div` `add-cbrt-cube` `flip-+`
2×	`+-commutative` `distribute-rgt-in` `rem-sqrt-square` `distribute-lft-in` `sqrt-pow1` `pow1/2` `sum-log`

Counts

4 → 56

Calls

4 calls:

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

series81.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(+ (* x y) (* z (+ x y)))
7.0ms	(+ (* x y) (* z (+ x y)))
33.0ms	(sqrt (+ (* x y) (* z (+ x y))))
34.0ms	(sqrt (+ (* x y) (* z (+ x y))))

simplify45.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5303	916

prune91.0ms

Filtered

54 candidates to 68 candidates (-25.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	68	6	74

Merged error: 18.1b

Counts

74 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ x y))
0.5b	(* (cbrt (+ x y)) (cbrt (+ x y)))
0.6b	(+ (* x y) (* (* z (* (cbrt (+ x y)) (cbrt (+ x y)))) (cbrt (+ x y))))
17.2b	(sqrt (+ (* x y) (* (* z (* (cbrt (+ x y)) (cbrt (+ x y)))) (cbrt (+ x y)))))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

30×	`*-un-lft-identity`
28×	`cbrt-prod`
23×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `cbrt-div`
12×	`pow1`
9×	`flip3-+` `swap-sqr` `flip-+`
7×	`pow1/3` `associate-r` `associate-l` `distribute-lft-out`
6×	`add-exp-log` `add-log-exp`
4×	`frac-times` `add-cbrt-cube` `unswap-sqr`
3×	`sqrt-prod`
2×	`sqrt-div` `associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`+-commutative` `pow2` `rem-sqrt-square` `sqrt-pow1` `pow-plus` `pow1/2` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod`

Counts

4 → 93

Calls

4 calls:

6.0ms	(cbrt (+ x y))
18.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
8.0ms	(+ (* x y) (* (* z (* (cbrt (+ x y)) (cbrt (+ x y)))) (cbrt (+ x y))))
6.0ms	(sqrt (+ (* x y) (* (* z (* (cbrt (+ x y)) (cbrt (+ x y)))) (cbrt (+ x y)))))

series141.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(cbrt (+ x y))
39.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
11.0ms	(+ (* x y) (* (* z (* (cbrt (+ x y)) (cbrt (+ x y)))) (cbrt (+ x y))))
61.0ms	(sqrt (+ (* x y) (* (* z (* (cbrt (+ x y)) (cbrt (+ x y)))) (cbrt (+ x y)))))

simplify42.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	4927	1187
1	4927	1187

prune163.0ms

Filtered

70 candidates to 105 candidates (-50.0%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	103	2	105
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	103	8	111

Merged error: 17.9b

Counts

111 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (+ x y))
0.6b	(+ (* x y) (* z (+ x y)))
5.3b	(exp (log (sqrt (+ (* x y) (* z (+ x y))))))
17.2b	(sqrt (+ (* x y) (* z (+ x y))))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
10×	`add-cube-cbrt`
9×	`pow1`
6×	`add-exp-log` `log-prod` `exp-prod` `exp-sum` `sqrt-prod` `add-cbrt-cube` `add-log-exp`
4×	`flip3-+` `sqrt-div` `associate-r` `flip-+`
3×	`associate-l` `log-pow`
2×	`distribute-rgt-in` `log-div` `associate-+r+` `distribute-lft-in` `sqrt-pow1` `pow1/2` `exp-diff` `associate-*r/`
1×	`+-commutative` `rem-sqrt-square` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `rem-exp-log` `distribute-lft-out` `unswap-sqr`

Counts

4 → 73

Calls

4 calls:

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

series80.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* z (+ x y))
8.0ms	(+ (* x y) (* z (+ x y)))
32.0ms	(exp (log (sqrt (+ (* x y) (* z (+ x y))))))
34.0ms	(sqrt (+ (* x y) (* z (+ x y))))

simplify33.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	4934	967
1	4934	967

prune97.0ms

Filtered

59 candidates to 85 candidates (-44.1%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	4	4
Picked	1	0	1
Done	0	3	3
Total	85	8	93

Merged error: 17.9b

Counts

93 → 8

regimes202.0ms

Accuracy

0% (0.2b remaining)

Error of 20.3b against oracle of 20.1b and baseline of 20.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	12
1	15	12

end0.0ms

sample1.3s

Algorithm

intervals

Results

310.0ms

8000×

body

valid

Details

analyze451.0ms

sample40.0ms

simplify3.0ms

prune8.0ms

localize8.0ms

rewrite18.0ms

series45.0ms

simplify45.0ms

prune93.0ms

localize12.0ms

rewrite18.0ms

series81.0ms

simplify45.0ms

prune91.0ms

localize13.0ms

rewrite44.0ms

series141.0ms

simplify42.0ms

prune163.0ms

localize13.0ms

rewrite21.0ms

series80.0ms

simplify33.0ms

prune97.0ms

regimes202.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.3s

Profiling