Details

analyze86.0ms

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
25%	74.9%	0.1%	5
37.5%	62.4%	0.1%	6
43.7%	43.7%	12.6%	7
53.1%	34.3%	12.6%	8
57.8%	23.4%	18.8%	9
63.2%	18%	18.8%	10
66%	12.1%	22%	11
68.9%	9.2%	22%	12
70.3%	6.1%	23.5%	13
71.9%	4.6%	23.5%	14

sample13.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	4×	body	80	invalid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	18	7
1	18	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: 4.1b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 1.0 (* y y))
3.9b	(* x (+ 1.0 (* y y)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

2 calls:

3.0ms	(+ 1.0 (* y y))
5.0ms	(* x (+ 1.0 (* y y)))

series13.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(+ 1.0 (* y y))
10.0ms	(* x (+ 1.0 (* y y)))

simplify58.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4932	307
1	4932	307

prune64.0ms

Filtered

27 candidates to 39 candidates (-44.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	33	6	39
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	34	6	40

Merged error: 3.9b

Counts

40 → 6

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (sqrt (+ 1.0 (* y y))))
0.1b	(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
3.8b	(sqrt (+ 1.0 (* y y)))
3.8b	(sqrt (+ 1.0 (* y y)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

18×	`sqrt-div`
17×	`add-sqr-sqrt`
13×	`pow1` `sqrt-prod`
12×	`associate-r`
11×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
10×	`associate-*r/`
9×	`flip3-+` `flip-+`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 83

Calls

4 calls:

6.0ms	(* x (sqrt (+ 1.0 (* y y))))
11.0ms	(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
2.0ms	(sqrt (+ 1.0 (* y y)))
3.0ms	(sqrt (+ 1.0 (* y y)))

series27.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(* x (sqrt (+ 1.0 (* y y))))
9.0ms	(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
3.0ms	(sqrt (+ 1.0 (* y y)))
4.0ms	(sqrt (+ 1.0 (* y y)))

simplify30.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	4957	992
1	4957	992

prune143.0ms

Filtered

71 candidates to 95 candidates (-33.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	95	6	101

Merged error: 3.9b

Counts

101 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (* x (* y y)))
9.1b	(* x (* y y))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-sqr-sqrt` `add-log-exp`
3×	`add-cube-cbrt` `-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-r` `sum-log` `*-commutative` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

2 → 31

Calls

2 calls:

4.0ms	(+ (* x 1.0) (* x (* y y)))
5.0ms	(* x (* y y))

series16.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(+ (* x 1.0) (* x (* y y)))
6.0ms	(* x (* y y))

simplify34.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5399	271

prune42.0ms

Filtered

23 candidates to 37 candidates (-60.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	35	2	37
Fresh	3	1	4
Picked	0	1	1
Done	0	1	1
Total	38	5	43

Merged error: 0.0b

Counts

43 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (* (* x y) y))
0.2b	(* (* x y) y)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip-+`

Counts

2 → 29

Calls

2 calls:

4.0ms	(+ (* x 1.0) (* (* x y) y))
4.0ms	(* (* x y) y)

series17.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(+ (* x 1.0) (* (* x y) y))
6.0ms	(* (* x y) y)

simplify30.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5034	256

prune35.0ms

Filtered

23 candidates to 35 candidates (-52.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	35	0	35
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	35	5	40

Merged error: 0.0b

Counts

40 → 5

regimes210.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	9
1	11	9

end0.0ms

sample325.0ms

Algorithm

intervals

Results

190.0ms	8000×	body	80	valid
4.0ms	160×	body	80	invalid

Details

analyze86.0ms

sample13.0ms

simplify3.0ms

prune3.0ms

localize5.0ms

rewrite8.0ms

series13.0ms

simplify58.0ms

prune64.0ms

localize7.0ms

rewrite25.0ms

series27.0ms

simplify30.0ms

prune143.0ms

localize6.0ms

rewrite10.0ms

series16.0ms

simplify34.0ms

prune42.0ms

localize6.0ms

rewrite9.0ms

series17.0ms

simplify30.0ms

prune35.0ms

regimes210.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample325.0ms

Profiling