Details

analyze321.0ms

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
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
31.2%	68.6%	0.1%	9
43.3%	49.9%	6.8%	10
49.7%	40.8%	9.5%	11
55.7%	34%	10.3%	12
61.3%	24.4%	14.3%	13
65%	19.8%	15.3%	14

sample16.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
1.0ms	24×	body	80	invalid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (10.0ms)

Iter	Nodes	Cost
0	300	7
1	300	7

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: 0.0b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- y x) z)
0.0b	(+ x (* (- y x) z))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-l`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube` `add-log-exp`
3×	`associate-r`
2×	`associate-*l/`
1×	`+-commutative` `flip3--` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 33

Calls

2 calls:

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

series14.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(* (- y x) z)
7.0ms	(+ x (* (- y x) z))

simplify35.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	4988	303
1	4988	303

prune48.0ms

Filtered

27 candidates to 39 candidates (-44.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	37	2	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	37	3	40

Merged error: 0b

Counts

40 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- y x)) (cbrt (- y x)))
0.5b	(cbrt (- y x))
0.5b	(cbrt (- y x))
0.5b	(cbrt (- y x))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 101

Calls

4 calls:

18.0ms	(* (cbrt (- y x)) (cbrt (- y x)))
5.0ms	(cbrt (- y x))
5.0ms	(cbrt (- y x))
5.0ms	(cbrt (- y x))

series107.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* (cbrt (- y x)) (cbrt (- y x)))
25.0ms	(cbrt (- y x))
25.0ms	(cbrt (- y x))
26.0ms	(cbrt (- y x))

simplify51.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5416	1032

prune119.0ms

Filtered

77 candidates to 113 candidates (-46.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	113	3	116

Merged error: 0b

Counts

116 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- y x) z)
0.2b	(* (sqrt (* (- y x) z)) (sqrt (* (- y x) z)))
3.0b	(sqrt (* (- y x) z))
3.0b	(sqrt (* (- y x) z))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`pow-prod-down`
20×	`associate-*l/`
16×	`add-sqr-sqrt` `sqrt-div`
12×	`*-un-lft-identity` `pow1/2`
10×	`add-cube-cbrt` `pow-prod-up`
9×	`flip3--` `associate-l` `flip--`
8×	`add-exp-log` `add-cbrt-cube`
7×	`associate-r`
6×	`sqrt-prod` `pow-sqr`
4×	`frac-times` `swap-sqr` `add-log-exp`
2×	`associate-r/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 105

Calls

4 calls:

6.0ms	(* (- y x) z)
15.0ms	(* (sqrt (* (- y x) z)) (sqrt (* (- y x) z)))
8.0ms	(sqrt (* (- y x) z))
5.0ms	(sqrt (* (- y x) z))

series120.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* (- y x) z)
16.0ms	(* (sqrt (* (- y x) z)) (sqrt (* (- y x) z)))
49.0ms	(sqrt (* (- y x) z))
49.0ms	(sqrt (* (- y x) z))

simplify53.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4947	829
1	4947	829

prune98.0ms

Filtered

70 candidates to 117 candidates (-67.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	117	3	120

Merged error: 0b

Counts

120 → 3

regimes176.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	43	7
1	43	7

end0.0ms

sample400.0ms

Algorithm

intervals

Results

197.0ms	8000×	body	80	valid
18.0ms	625×	body	80	invalid

Details

analyze321.0ms

sample16.0ms

simplify11.0ms

prune3.0ms

localize5.0ms

rewrite10.0ms

series14.0ms

simplify35.0ms

prune48.0ms

localize9.0ms

rewrite39.0ms

series107.0ms

simplify51.0ms

prune119.0ms

localize7.0ms

rewrite38.0ms

series120.0ms

simplify53.0ms

prune98.0ms

regimes176.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample400.0ms

Profiling