Details

analyze70.0ms

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

sample16.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	7×	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

prune2.0ms

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: 5.6b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

5.3b	(* x (+ 1.0 (* y y)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 22

Calls

1 calls:

5.0ms

(* x (+ 1.0 (* y y)))

series11.0ms

Counts

1 → 3

Calls

1 calls:

11.0ms

(* x (+ 1.0 (* y y)))

simplify48.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4909	206
1	4909	206

prune44.0ms

Filtered

17 candidates to 25 candidates (-47.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	20	5	25
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	21	5	26

Merged error: 5.4b

Counts

26 → 5

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (* x (* y y)))
11.9b	(* 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))

series17.0ms

Counts

2 → 6

Calls

2 calls:

11.0ms	(+ (* x 1.0) (* x (* y y)))
7.0ms	(* x (* y y))

simplify34.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5399	271

prune48.0ms

Filtered

23 candidates to 37 candidates (-60.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	33	4	37
Fresh	3	1	4
Picked	0	1	1
Done	0	0	0
Total	36	6	42

Merged error: 0.0b

Counts

42 → 6

localize5.0ms

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))
5.0ms	(* (* x y) y)

series18.0ms

Counts

2 → 6

Calls

2 calls:

11.0ms	(+ (* x 1.0) (* (* x y) y))
7.0ms	(* (* x y) y)

simplify30.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5034	256

prune47.0ms

Filtered

23 candidates to 35 candidates (-52.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	34	1	35
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	34	7	41

Merged error: 0.0b

Counts

41 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.5b	(cbrt x)
0.6b	(* (cbrt x) (cbrt x))
6.0b	(* (* (cbrt x) (cbrt x)) (* y (* y (cbrt x))))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1`
27×	`add-exp-log`
22×	`cbrt-prod` `add-sqr-sqrt`
17×	`pow-prod-down` `add-cbrt-cube`
16×	`prod-exp` `cbrt-unprod`
14×	`add-cube-cbrt` `*-un-lft-identity`
8×	`pow1/3`
7×	`associate-r` `associate-l`
6×	`swap-sqr`
4×	`add-log-exp` `unswap-sqr`
2×	`pow-sqr` `*-commutative` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 90

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
5.0ms	(* (cbrt x) (cbrt x))
11.0ms	(* (* (cbrt x) (cbrt x)) (* y (* y (cbrt x))))

series79.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt x)
21.0ms	(cbrt x)
25.0ms	(* (cbrt x) (cbrt x))
12.0ms	(* (* (cbrt x) (cbrt x)) (* y (* y (cbrt x))))

simplify68.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4905	492
1	4905	492

prune75.0ms

Filtered

57 candidates to 102 candidates (-78.9%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	100	2	102
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	100	9	109

Merged error: 0.0b

Counts

109 → 9

regimes275.0ms

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 (0.0ms)

Iter	Nodes	Cost
0	11	9
1	11	9

end0.0ms

sample294.0ms

Algorithm

intervals

Results

176.0ms	8000×	body	80	valid
4.0ms	177×	body	80	invalid

Details

analyze70.0ms

sample16.0ms

simplify3.0ms

prune2.0ms

localize5.0ms

rewrite6.0ms

series11.0ms

simplify48.0ms

prune44.0ms

localize5.0ms

rewrite10.0ms

series17.0ms

simplify34.0ms

prune48.0ms

localize5.0ms

rewrite9.0ms

series18.0ms

simplify30.0ms

prune47.0ms

localize9.0ms

rewrite21.0ms

series79.0ms

simplify68.0ms

prune75.0ms

regimes275.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample294.0ms

Profiling