Details

analyze424.0ms

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

sample24.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
3.0ms	72×	body	80	nan

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: 19.9b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* z (+ x y))
1.0b	(+ (* x y) (* z (+ x y)))
18.7b	(sqrt (+ (* x y) (* z (+ x y))))

rewrite16.0ms

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

series49.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(* z (+ x y))
7.0ms	(+ (* x y) (* z (+ x y)))
36.0ms	(sqrt (+ (* x y) (* z (+ x y))))

simplify42.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4917	621
1	4917	621

prune95.0ms

Filtered

43 candidates to 60 candidates (-39.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	54	6	60
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	54	7	61

Merged error: 19.8b

Counts

61 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

1.0b	(+ (* x y) (* z (+ x y)))
1.0b	(+ (* x y) (* z (+ x y)))
18.7b	(sqrt (+ (* x y) (* z (+ x y))))
18.7b	(sqrt (+ (* x y) (* z (+ x y))))

rewrite17.0ms

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

simplify41.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5303	916

prune98.0ms

Filtered

54 candidates to 68 candidates (-25.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	67	1	68
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	67	8	75

Merged error: 19.8b

Counts

75 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

18.7b	(sqrt (* (* (cbrt (+ (* x y) (* z (+ x y)))) (cbrt (+ (* x y) (* z (+ x y))))) (cbrt (+ (* x y) (* z (+ x y))))))
19.4b	(cbrt (+ (* x y) (* z (+ x y))))
19.4b	(cbrt (+ (* x y) (* z (+ x y))))
19.4b	(cbrt (+ (* x y) (* z (+ x y))))

rewrite32.0ms

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:

17.0ms	(sqrt (* (* (cbrt (+ (* x y) (* z (+ x y)))) (cbrt (+ (* x y) (* z (+ x y))))) (cbrt (+ (* x y) (* z (+ x y))))))
4.0ms	(cbrt (+ (* x y) (* z (+ x y))))
4.0ms	(cbrt (+ (* x y) (* z (+ x y))))
4.0ms	(cbrt (+ (* x y) (* z (+ x y))))

series208.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(sqrt (* (* (cbrt (+ (* x y) (* z (+ x y)))) (cbrt (+ (* x y) (* z (+ x y))))) (cbrt (+ (* x y) (* z (+ x y))))))
58.0ms	(cbrt (+ (* x y) (* z (+ x y))))
57.0ms	(cbrt (+ (* x y) (* z (+ x y))))
60.0ms	(cbrt (+ (* x y) (* z (+ x y))))

simplify45.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5313	2858

prune117.0ms

Filtered

66 candidates to 101 candidates (-53.0%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	101	8	109

Merged error: 19.8b

Counts

109 → 8

localize17.0ms

Local error

Found 4 expressions with local error:

1.0b	(+ (* x y) (* z (+ x y)))
5.2b	(exp (log (sqrt (+ (* x y) (* z (+ x y))))))
18.7b	(sqrt (+ (* x y) (* z (+ x y))))
18.7b	(sqrt (+ (* x y) (* z (+ x y))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 65

Calls

4 calls:

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

series108.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(+ (* x y) (* z (+ x y)))
34.0ms	(exp (log (sqrt (+ (* x y) (* z (+ x y))))))
35.0ms	(sqrt (+ (* x y) (* z (+ x y))))
33.0ms	(sqrt (+ (* x y) (* z (+ x y))))

simplify47.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5370	1059

prune98.0ms

Filtered

59 candidates to 77 candidates (-30.5%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	77	8	85

Merged error: 19.8b

Counts

85 → 8

regimes190.0ms

Accuracy

0% (0.1b remaining)

Error of 19.3b against oracle of 19.3b and baseline of 19.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	12
1	15	12

end0.0ms

sample648.0ms

Algorithm

intervals

Results

339.0ms	8000×	body	80	valid
98.0ms	2252×	body	80	nan

Details

analyze424.0ms

sample24.0ms

simplify3.0ms

prune8.0ms

localize9.0ms

rewrite16.0ms

series49.0ms

simplify42.0ms

prune95.0ms

localize12.0ms

rewrite17.0ms

series81.0ms

simplify41.0ms

prune98.0ms

localize13.0ms

rewrite32.0ms

series208.0ms

simplify45.0ms

prune117.0ms

localize17.0ms

rewrite20.0ms

series108.0ms

simplify47.0ms

prune98.0ms

regimes190.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample648.0ms

Profiling