Details

analyze337.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
18.7%	81.1%	0.1%	7
21.8%	78%	0.1%	8
27.3%	67.1%	5.6%	9
41%	50.3%	8.7%	10
43.9%	47%	9.1%	11
48.3%	38%	13.7%	12
56.3%	27.4%	16.2%	13
58.2%	25.4%	16.4%	14

sample14.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	21×	body	80	invalid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	13	10
1	13	10

prune3.0ms

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: 7.0b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

11.2b

(/ (* y 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

(/ (* y y) z)

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(/ (* y y) z)

simplify105.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (96.0ms)

Iter	Nodes	Cost
0	4952	219
1	4952	219

prune36.0ms

Filtered

16 candidates to 24 candidates (-50.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	20	4	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	20	5	25

Merged error: 0.0b

Counts

25 → 5

localize4.0ms

Local error

Found 1 expressions with local error:

0.1b	(* y (/ y z))

rewrite8.0ms

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

(* y (/ y z))

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(* y (/ y z))

simplify88.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4846	326
1	4846	326

prune49.0ms

Filtered

21 candidates to 35 candidates (-66.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	34	1	35
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	34	6	40

Merged error: 0b

Counts

40 → 6

localize9.0ms

Local error

Found 1 expressions with local error:

0.1b	(/ y (/ z y))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 70

Calls

1 calls:

11.0ms

(/ y (/ z y))

series7.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

(/ y (/ z y))

simplify111.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	5094	1047

prune61.0ms

Filtered

48 candidates to 73 candidates (-52.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	73	6	79

Merged error: 0b

Counts

79 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt (/ y z)) (cbrt (/ y z)))
8.4b	(cbrt (/ y z))
8.4b	(cbrt (/ y z))
8.4b	(cbrt (/ y z))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

103×	`cbrt-prod`
81×	`add-sqr-sqrt`
69×	`times-frac`
57×	`add-cube-cbrt` `*-un-lft-identity`
16×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 144

Calls

4 calls:

26.0ms	(* (cbrt (/ y z)) (cbrt (/ y z)))
5.0ms	(cbrt (/ y z))
4.0ms	(cbrt (/ y z))
4.0ms	(cbrt (/ y z))

series94.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* (cbrt (/ y z)) (cbrt (/ y z)))
26.0ms	(cbrt (/ y z))
23.0ms	(cbrt (/ y z))
24.0ms	(cbrt (/ y z))

simplify86.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5036	2296

prune155.0ms

Filtered

117 candidates to 156 candidates (-33.3%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	156	0	156
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	156	6	162

Merged error: 0b

Counts

162 → 6

regimes448.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	10
1	9	10

end0.0ms

sample499.0ms

Algorithm

intervals

Results

256.0ms	8000×	body	80	valid
29.0ms	945×	body	80	invalid

Details

analyze337.0ms

sample14.0ms

simplify7.0ms

prune3.0ms

localize5.0ms

rewrite5.0ms

series3.0ms

simplify105.0ms

prune36.0ms

localize4.0ms

rewrite8.0ms

series3.0ms

simplify88.0ms

prune49.0ms

localize9.0ms

rewrite18.0ms

series7.0ms

simplify111.0ms

prune61.0ms

localize13.0ms

rewrite51.0ms

series94.0ms

simplify86.0ms

prune155.0ms

regimes448.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample499.0ms

Profiling