Details

analyze568.0ms

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

sample22.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
2.0ms	75×	body	80	invalid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	67	7
1	67	7

prune12.0ms

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: 6.7b

Counts

2 → 2

localize6.0ms

Local error

Found 1 expressions with local error:

10.1b

(/ (* 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))

series8.0ms

Counts

1 → 3

Calls

1 calls:

8.0ms

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

simplify49.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5102	191

prune47.0ms

Filtered

14 candidates to 24 candidates (-71.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	19	5	24
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	20	6	26

Merged error: 0.0b

Counts

26 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

5.0b	(* a2 (/ a1 b1))
6.2b	(/ (* a2 (/ a1 b1)) b2)

rewrite14.0ms

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-/r*`
2×	`associate-*r/` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `associate-/l/` `associate-/l`

Counts

2 → 56

Calls

2 calls:

7.0ms	(* a2 (/ a1 b1))
6.0ms	(/ (* a2 (/ a1 b1)) b2)

series14.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(* a2 (/ a1 b1))
8.0ms	(/ (* a2 (/ a1 b1)) b2)

simplify53.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5086	447

prune62.0ms

Filtered

39 candidates to 62 candidates (-59.0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	59	3	62
Fresh	2	3	5
Picked	1	0	1
Done	0	0	0
Total	62	6	68

Merged error: 0.0b

Counts

68 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

5.0b	(* a2 (/ a1 b1))
6.3b	(* (* a2 (/ a1 b1)) (/ 1 b2))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-exp-log`
28×	`add-cbrt-cube`
26×	`associate-r`
22×	`add-sqr-sqrt` `prod-exp`
19×	`times-frac`
17×	`add-cube-cbrt` `*-un-lft-identity`
12×	`cbrt-unprod`
11×	`div-exp`
9×	`pow1`
6×	`cbrt-undiv`
4×	`associate-r/` `associate-l*` `pow-prod-down`
3×	`rec-exp` `1-exp`
2×	`*-commutative` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-times` `associate-*l/` `un-div-inv`

Counts

2 → 78

Calls

2 calls:

7.0ms	(* a2 (/ a1 b1))
10.0ms	(* (* a2 (/ a1 b1)) (/ 1 b2))

series12.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(* a2 (/ a1 b1))
8.0ms	(* (* a2 (/ a1 b1)) (/ 1 b2))

simplify47.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5119	627

prune71.0ms

Filtered

47 candidates to 84 candidates (-78.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	83	7	90

Merged error: 0b

Counts

90 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

4.7b	(* b1 (/ b2 a2))
6.4b	(/ a1 (* b1 (/ b2 a2)))

rewrite14.0ms

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:

7.0ms	(* b1 (/ b2 a2))
6.0ms	(/ a1 (* b1 (/ b2 a2)))

series13.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(* b1 (/ b2 a2))
9.0ms	(/ a1 (* 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

40 candidates to 62 candidates (-55.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	62	7	69

Merged error: 0b

Counts

69 → 7

regimes513.0ms

Accuracy

46% (6.2b remaining)

Error of 6.3b against oracle of 0.1b and baseline of 11.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	76
1	46	76

end0.0ms

sample505.0ms

Algorithm

intervals

Results

229.0ms	8000×	body	80	valid
48.0ms	1778×	body	80	invalid

Details

analyze568.0ms

sample22.0ms

simplify4.0ms

prune12.0ms

localize6.0ms

rewrite6.0ms

series8.0ms

simplify49.0ms

prune47.0ms

localize6.0ms

rewrite14.0ms

series14.0ms

simplify53.0ms

prune62.0ms

localize6.0ms

rewrite19.0ms

series12.0ms

simplify47.0ms

prune71.0ms

localize7.0ms

rewrite14.0ms

series13.0ms

simplify48.0ms

prune43.0ms

regimes513.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample505.0ms

Profiling