Details

analyze777.0ms

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

sample25.0ms

Algorithm

intervals

Results

13.0ms	256×	body	80	valid
1.0ms	41×	body	80	invalid

simplify99.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (97.0ms)

Iter	Nodes	Cost
0	4973	5
1	4973	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: 7.5b

Counts

2 → 2

localize4.0ms

Local error

Found 1 expressions with local error:

7.3b	(* 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))

simplify60.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5355	230

prune77.0ms

Filtered

24 candidates to 35 candidates (-45.8%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	25	10	35
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	26	11	37

Merged error: 0.0b

Counts

37 → 11

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
2.1b	(* x (* (cbrt y) (/ (cbrt y) (* (cbrt z) (cbrt z)))))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-exp-log`
11×	`add-cbrt-cube`
9×	`pow1` `cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`pow1/3` `associate-l` `pow-prod-down`
2×	`cbrt-undiv` `associate-*r/` `div-exp`
1×	`associate-r` `*-commutative`

Counts

4 → 56

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
13.0ms	(* x (* (cbrt y) (/ (cbrt y) (* (cbrt z) (cbrt z)))))

series90.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(cbrt z)
21.0ms	(cbrt z)
21.0ms	(cbrt z)
25.0ms	(* x (* (cbrt y) (/ (cbrt y) (* (cbrt z) (cbrt z)))))

simplify44.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5103	442

prune95.0ms

Filtered

45 candidates to 68 candidates (-51.1%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	67	1	68
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	67	12	79

Merged error: 0b

Counts

79 → 12

localize4.0ms

Local error

Found 1 expressions with local error:

5.9b	(/ (* x y) z)

rewrite5.0ms

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)

simplify89.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	4776	149
1	4776	149

prune44.0ms

Filtered

11 candidates to 24 candidates (-118.2%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	23	1	24
Fresh	4	5	9
Picked	0	1	1
Done	0	2	2
Total	27	9	36

Merged error: 0b

Counts

36 → 9

localize5.0ms

Local error

Found 1 expressions with local error:

6.0b	(* (* 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))

simplify59.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5018	256

prune29.0ms

Filtered

19 candidates to 41 candidates (-115.8%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	41	0	41
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	41	9	50

Merged error: 0b

Counts

50 → 9

regimes453.0ms

Accuracy

12.5% (1.7b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 2.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	37
1	27	37

end0.0ms

sample567.0ms

Algorithm

intervals

Results

279.0ms	8000×	body	80	valid
50.0ms	1515×	body	80	invalid

Details

analyze777.0ms

sample25.0ms

simplify99.0ms

prune11.0ms

localize4.0ms

rewrite7.0ms

series5.0ms

simplify60.0ms

prune77.0ms

localize12.0ms

rewrite18.0ms

series90.0ms

simplify44.0ms

prune95.0ms

localize4.0ms

rewrite5.0ms

series5.0ms

simplify89.0ms

prune44.0ms

localize5.0ms

rewrite9.0ms

series5.0ms

simplify59.0ms

prune29.0ms

regimes453.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample567.0ms

Profiling