Details

analyze324.0ms

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

sample17.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
1.0ms	32×	body	80	invalid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	7
1	12	7

prune9.0ms

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: 0.0b

Counts

2 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* y (/ y z)))
0.1b	(* y (/ y z))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`associate-r`
10×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `add-log-exp`
3×	`associate-l`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `associate-r/` `div-exp` `pow-prod-down` `sum-log` `-commutative` `flip-+` `div-inv`

Counts

2 → 43

Calls

2 calls:

3.0ms	(+ x (* y (/ y z)))
6.0ms	(* y (/ y z))

series12.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(+ x (* y (/ y z)))
3.0ms	(* y (/ y z))

simplify51.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4932	359
1	4932	359

prune60.0ms

Filtered

32 candidates to 49 candidates (-53.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	45	4	49
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	46	5	51

Merged error: 0.0b

Counts

51 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (/ y z)) (cbrt (/ y z)))
9.6b	(cbrt (/ y z))
9.6b	(cbrt (/ y z))
9.6b	(cbrt (/ y z))

rewrite24.0ms

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:

12.0ms	(* (cbrt (/ y z)) (cbrt (/ y z)))
2.0ms	(cbrt (/ y z))
2.0ms	(cbrt (/ y z))
2.0ms	(cbrt (/ y z))

series59.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* (cbrt (/ y z)) (cbrt (/ y z)))
12.0ms	(cbrt (/ y z))
12.0ms	(cbrt (/ y z))
16.0ms	(cbrt (/ y z))

simplify47.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5042	1446

prune156.0ms

Filtered

117 candidates to 156 candidates (-33.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	155	1	156
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	156	5	161

Merged error: 0.0b

Counts

161 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt z)
0.5b	(cbrt z)
0.5b	(cbrt z)
0.6b	(* (cbrt z) (cbrt z))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
5.0ms	(* (cbrt z) (cbrt z))

series90.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt z)
21.0ms	(cbrt z)
21.0ms	(cbrt z)
27.0ms	(* (cbrt z) (cbrt z))

simplify44.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5165	356

prune82.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	84	6	90

Merged error: 0b

Counts

90 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (* y y) (/ 1 z)))
9.9b	(* (* y y) (/ 1 z))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-exp-log`
14×	`add-cbrt-cube`
13×	`add-sqr-sqrt` `associate-r`
12×	`prod-exp`
11×	`times-frac`
10×	`*-un-lft-identity`
9×	`add-cube-cbrt`
7×	`pow1`
6×	`cbrt-unprod`
4×	`div-exp` `add-log-exp`
3×	`pow-prod-down` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `1-exp`
1×	`+-commutative` `flip3-+` `associate-r/` `associate-l` `sum-log` `un-div-inv` `-commutative` `flip-+` `div-inv`

Counts

2 → 52

Calls

2 calls:

3.0ms	(+ x (* (* y y) (/ 1 z)))
9.0ms	(* (* y y) (/ 1 z))

series12.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(+ x (* (* y y) (/ 1 z)))
3.0ms	(* (* y y) (/ 1 z))

simplify57.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4864	425
1	4864	425

prune44.0ms

Filtered

33 candidates to 58 candidates (-75.8%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	58	6	64

Merged error: 0b

Counts

64 → 6

regimes208.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	7
1	8	7

end0.0ms

sample425.0ms

Algorithm

intervals

Results

209.0ms	8000×	body	80	valid
27.0ms	947×	body	80	invalid

Details

analyze324.0ms

sample17.0ms

simplify3.0ms

prune9.0ms

localize8.0ms

rewrite10.0ms

series12.0ms

simplify51.0ms

prune60.0ms

localize9.0ms

rewrite24.0ms

series59.0ms

simplify47.0ms

prune156.0ms

localize9.0ms

rewrite10.0ms

series90.0ms

simplify44.0ms

prune82.0ms

localize6.0ms

rewrite14.0ms

series12.0ms

simplify57.0ms

prune44.0ms

regimes208.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample425.0ms

Profiling