Details

analyze729.0ms

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
5.8%	94%	0.2%	9
7.6%	92.2%	0.2%	10
11.6%	88.2%	0.2%	11
18.5%	81.3%	0.2%	12
32.3%	66.9%	0.8%	13
37%	62.2%	0.8%	14

sample22.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
2.0ms	50×	body	80	invalid

simplify126.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (125.0ms)

Iter	Nodes	Cost
0	4858	5
1	4858	5

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: 6.3b

Counts

2 → 2

localize4.0ms

Local error

Found 1 expressions with local error:

6.1b	(* x (/ y z))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 32

Calls

1 calls:

6.0ms

(* x (/ y z))

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(* x (/ y z))

simplify64.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4831	230
1	4831	230

prune71.0ms

Filtered

24 candidates to 35 candidates (-45.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	29	6	35
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	29	8	37

Merged error: 0.0b

Counts

37 → 8

localize4.0ms

Local error

Found 1 expressions with local error:

4.6b	(/ (* x y) z)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 21

Calls

1 calls:

4.0ms

(/ (* x y) z)

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(/ (* x y) z)

simplify49.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4974	149
1	4974	149

prune37.0ms

Filtered

11 candidates to 24 candidates (-118.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	22	2	24
Fresh	3	3	6
Picked	0	1	1
Done	0	1	1
Total	25	7	32

Merged error: 0.0b

Counts

32 → 7

localize5.0ms

Local error

Found 1 expressions with local error:

4.6b	(* (* x y) (/ 1 z))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log`
13×	`associate-r` `add-cbrt-cube`
12×	`prod-exp`
9×	`times-frac`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `cbrt-unprod`
4×	`div-exp`
3×	`pow-prod-down`
2×	`cbrt-undiv` `rec-exp` `1-exp`
1×	`associate-r/` `associate-l` `un-div-inv` `-commutative` `div-inv` `add-log-exp`

Counts

1 → 38

Calls

1 calls:

7.0ms

(* (* x y) (/ 1 z))

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(* (* x y) (/ 1 z))

simplify53.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4874	256
1	4874	256

prune44.0ms

Filtered

17 candidates to 41 candidates (-141.2%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	41	0	41
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	41	7	48

Merged error: 0.0b

Counts

48 → 7

localize5.0ms

Local error

Found 2 expressions with local error:

0.5b	(/ 1 (/ z (* x y)))
4.5b	(/ z (* x y))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
28×	`add-exp-log`
20×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
16×	`add-cbrt-cube`
14×	`div-exp`
8×	`associate-/r*`
7×	`cbrt-undiv`
6×	`div-inv` `associate-/l*`
4×	`prod-exp`
3×	`pow1` `rec-exp` `1-exp`
2×	`frac-2neg` `clear-num` `cbrt-unprod` `add-log-exp`
1×	`pow-flip` `associate-/r/` `inv-pow`

Counts

2 → 77

Calls

2 calls:

6.0ms	(/ 1 (/ z (* x y)))
4.0ms	(/ z (* x y))

series10.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(/ 1 (/ z (* x y)))
5.0ms	(/ z (* x y))

simplify65.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4869	643
1	4869	643

prune62.0ms

Filtered

43 candidates to 83 candidates (-93.0%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	82	1	83
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	82	8	90

Merged error: 0b

Counts

90 → 8

regimes477.0ms

Accuracy

94.5% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 6.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	78	45
1	78	45

end0.0ms

sample610.0ms

Algorithm

intervals

Results

291.0ms	8000×	body	80	valid
57.0ms	1520×	body	80	invalid

Details

analyze729.0ms

sample22.0ms

simplify126.0ms

prune11.0ms

localize4.0ms

rewrite7.0ms

series5.0ms

simplify64.0ms

prune71.0ms

localize4.0ms

rewrite4.0ms

series5.0ms

simplify49.0ms

prune37.0ms

localize5.0ms

rewrite9.0ms

series5.0ms

simplify53.0ms

prune44.0ms

localize5.0ms

rewrite12.0ms

series10.0ms

simplify65.0ms

prune62.0ms

regimes477.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample610.0ms

Profiling