Details

analyze552.0ms

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

sample19.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
2.0ms	58×	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

prune11.0ms

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: 5.7b

Counts

2 → 2

localize6.0ms

Local error

Found 1 expressions with local error:

10.3b

(/ (* 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:

6.0ms

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

series8.0ms

Counts

1 → 3

Calls

1 calls:

8.0ms

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

simplify48.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5102	191

prune51.0ms

Filtered

14 candidates to 24 candidates (-71.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	18	6	24
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	18	8	26

Merged error: 0.0b

Counts

26 → 8

localize6.0ms

Local error

Found 2 expressions with local error:

4.8b	(* a2 (/ a1 (* b1 b2)))
5.5b	(/ a1 (* b1 b2))

rewrite12.0ms

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

series12.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify53.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5090	386

prune105.0ms

Filtered

35 candidates to 54 candidates (-54.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	52	2	54
Fresh	1	5	6
Picked	1	0	1
Done	1	0	1
Total	55	7	62

Merged error: 0.0b

Counts

62 → 7

localize11.0ms

Local error

Found 2 expressions with local error:

4.8b	(* a2 (* (/ 1 b1) (/ a1 b2)))
6.4b	(* (/ 1 b1) (/ a1 b2))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

56×	`add-exp-log`
34×	`add-sqr-sqrt`
32×	`add-cbrt-cube`
25×	`times-frac` `prod-exp`
19×	`*-un-lft-identity`
17×	`add-cube-cbrt`
16×	`div-exp` `associate-l`
14×	`associate-r`
13×	`cbrt-unprod`
9×	`pow1`
8×	`cbrt-undiv`
6×	`unswap-sqr`
5×	`associate-*r/`
4×	`rec-exp` `1-exp` `pow-prod-down`
2×	`frac-times` `associate-l/` `-commutative` `div-inv` `add-log-exp`

Counts

2 → 87

Calls

2 calls:

15.0ms	(* a2 (* (/ 1 b1) (/ a1 b2)))
18.0ms	(* (/ 1 b1) (/ a1 b2))

series22.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(* a2 (* (/ 1 b1) (/ a1 b2)))
8.0ms	(* (/ 1 b1) (/ a1 b2))

simplify60.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4959	689
1	4959	689

prune86.0ms

Filtered

55 candidates to 93 candidates (-69.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	93	7	100

Merged error: 0.0b

Counts

100 → 7

localize5.0ms

Local error

Found 1 expressions with local error:

10.6b

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
22×	`times-frac`
15×	`add-cube-cbrt` `*-un-lft-identity`
13×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
4×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `unswap-sqr`
3×	`pow1`
2×	`div-inv`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `add-log-exp`

Counts

1 → 50

Calls

1 calls:

10.0ms

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

series7.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

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

simplify47.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4993	471
1	4993	471

prune41.0ms

Filtered

37 candidates to 53 candidates (-43.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	52	1	53
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	52	8	60

Merged error: 0b

Counts

60 → 8

regimes622.0ms

Accuracy

49.6% (5.7b remaining)

Error of 5.7b against oracle of 0.0b and baseline of 11.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	49	44
1	49	44

end0.0ms

sample518.0ms

Algorithm

intervals

Results

231.0ms	8000×	body	80	valid
48.0ms	1783×	body	80	invalid

Details

analyze552.0ms

sample19.0ms

simplify3.0ms

prune11.0ms

localize6.0ms

rewrite6.0ms

series8.0ms

simplify48.0ms

prune51.0ms

localize6.0ms

rewrite12.0ms

series12.0ms

simplify53.0ms

prune105.0ms

localize11.0ms

rewrite39.0ms

series22.0ms

simplify60.0ms

prune86.0ms

localize5.0ms

rewrite12.0ms

series7.0ms

simplify47.0ms

prune41.0ms

regimes622.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample518.0ms

Profiling