Details

analyze556.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
18.7%	81.1%	0.2%	9
21.8%	78%	0.2%	10
25%	74.9%	0.2%	11
34.7%	64.9%	0.4%	12
47.2%	51.9%	0.9%	13
49%	49.2%	1.8%	14

sample20.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
2.0ms	77×	body	80	invalid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	67	7
1	67	7

prune10.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 5.5b

Counts

2 → 2

localize5.0ms

Local error

Found 1 expressions with local error:

9.7b	(/ (* a1 a2) (* b1 b2))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-exp-log` `add-cbrt-cube`
4×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
1×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `frac-2neg` `-un-lft-identity` `times-frac` `clear-num` `associate-/r` `div-inv` `associate-/l*` `add-log-exp`

Counts

1 → 21

Calls

1 calls:

5.0ms

(/ (* a1 a2) (* b1 b2))

series11.0ms

Counts

1 → 3

Calls

1 calls:

11.0ms

(/ (* a1 a2) (* b1 b2))

simplify47.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5102	191

prune42.0ms

Filtered

14 candidates to 24 candidates (-71.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	18	6	24
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	20	6	26

Merged error: 0.0b

Counts

26 → 6

localize5.0ms

Local error

Found 2 expressions with local error:

3.6b	(/ a1 (* b1 b2))
5.9b	(* a2 (/ a1 (* b1 b2)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-exp-log` `add-cbrt-cube`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
6×	`times-frac`
5×	`prod-exp` `cbrt-unprod`
4×	`pow1` `cbrt-undiv` `div-exp`
3×	`associate-l` `associate-/l*`
2×	`div-inv` `add-log-exp`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `associate-/r` `*-commutative` `unswap-sqr`

Counts

2 → 48

Calls

2 calls:

6.0ms	(/ a1 (* b1 b2))
6.0ms	(* a2 (/ a1 (* b1 b2)))

series12.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(/ a1 (* b1 b2))
7.0ms	(* a2 (/ a1 (* b1 b2)))

simplify49.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5090	386

prune56.0ms

Filtered

34 candidates to 54 candidates (-58.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	52	2	54
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	53	7	60

Merged error: 0b

Counts

60 → 7

localize5.0ms

Local error

Found 2 expressions with local error:

4.6b	(/ (/ a1 b1) b2)
5.9b	(* a2 (/ (/ a1 b1) b2))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

144×	`times-frac`
89×	`add-sqr-sqrt`
80×	`add-cube-cbrt` `*-un-lft-identity`
43×	`associate-r`
16×	`add-exp-log` `add-cbrt-cube`
13×	`associate-/l*`
9×	`div-inv`
6×	`cbrt-undiv` `div-exp`
4×	`pow1`
3×	`associate-l` `prod-exp` `associate-/r*` `cbrt-unprod` `unswap-sqr`
2×	`add-log-exp`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `associate-/l/`

Counts

2 → 135

Calls

2 calls:

5.0ms	(/ (/ a1 b1) b2)
13.0ms	(* a2 (/ (/ a1 b1) b2))

series12.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(/ (/ a1 b1) b2)
7.0ms	(* a2 (/ (/ a1 b1) b2))

simplify61.0ms

Algorithm

egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4995	1412
1	4995	1412

prune119.0ms

Filtered

113 candidates to 141 candidates (-24.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	141	0	141
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	141	7	148

Merged error: 0b

Counts

148 → 7

localize5.0ms

Local error

Found 2 expressions with local error:

5.5b	(/ a1 (* b1 (/ b2 a2)))
5.9b	(* b1 (/ b2 a2))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
16×	`add-exp-log` `add-cbrt-cube`
13×	`times-frac` `associate-r`
12×	`add-cube-cbrt` `*-un-lft-identity`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `prod-exp` `cbrt-unprod`
3×	`associate-l` `associate-/l*`
2×	`associate-*r/` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `pow-prod-down` `clear-num` `associate-/r` `associate-/r/` `-commutative`

Counts

2 → 56

Calls

2 calls:

5.0ms	(/ a1 (* b1 (/ b2 a2)))
6.0ms	(* b1 (/ b2 a2))

series13.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(/ a1 (* b1 (/ b2 a2)))
4.0ms	(* b1 (/ b2 a2))

simplify48.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5030	450

prune43.0ms

Filtered

41 candidates to 62 candidates (-51.2%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	62	7	69

Merged error: 0b

Counts

69 → 7

regimes655.0ms

Accuracy

48% (5.9b remaining)

Error of 5.9b against oracle of 0.0b and baseline of 11.3b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	63
1	33	63

end0.0ms

sample502.0ms

Algorithm

intervals

Results

219.0ms	8000×	body	80	valid
50.0ms	1839×	body	80	invalid

Details

analyze556.0ms

sample20.0ms

simplify3.0ms

prune10.0ms

localize5.0ms

rewrite6.0ms

series11.0ms

simplify47.0ms

prune42.0ms

localize5.0ms

rewrite13.0ms

series12.0ms

simplify49.0ms

prune56.0ms

localize5.0ms

rewrite24.0ms

series12.0ms

simplify61.0ms

prune119.0ms

localize5.0ms

rewrite13.0ms

series13.0ms

simplify48.0ms

prune43.0ms

regimes655.0ms

bsearch1.0ms

simplify1.0ms

end0.0ms

sample502.0ms

Profiling