Details

analyze502.0ms

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
34.3%	65.5%	0.1%	9
39%	60.8%	0.1%	10
41.3%	58.5%	0.1%	11
52.7%	47.2%	0.1%	12
54%	45.7%	0.2%	13
55.3%	43.8%	0.9%	14

sample31.0ms

Algorithm

intervals

Results

8.0ms	188×	body	80	valid
5.0ms	31×	body	1280	valid
1.0ms	12×	body	640	valid
1.0ms	41×	body	80	invalid
1.0ms	14×	body	320	valid
1.0ms	7×	body	2560	valid
1.0ms	5×	body	1280	invalid
1.0ms	6×	body	640	invalid
0.0ms	8×	body	160	invalid
0.0ms	4×	body	320	invalid
0.0ms	4×	body	160	valid

simplify116.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (114.0ms)

Iter	Nodes	Cost
0	5583	5

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

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(* y (- x z))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
5×	`-un-lft-identity` `associate-r*`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube`
2×	`sub-neg` `associate-*r/`
1×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 24

Calls

1 calls:

6.0ms

(* y (- x z))

series7.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

(* y (- x z))

simplify59.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4952	172
1	4952	172

prune29.0ms

Filtered

17 candidates to 27 candidates (-58.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	25	2	27
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	26	3	29

Merged error: 0b

Counts

29 → 3

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `unsub-neg` `sum-log` `distribute-rgt-neg-out` `add-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

1 → 13

Calls

1 calls:

4.0ms

(+ (* y x) (* y (neg z)))

series7.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

(+ (* y x) (* y (neg z)))

simplify51.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5170	116

prune17.0ms

Filtered

10 candidates to 16 candidates (-60.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	16	0	16
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	16	3	19

Merged error: 0b

Counts

19 → 3

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (- x z))
0.2b	(* (sqrt (* y (- x z))) (sqrt (* y (- x z))))
2.8b	(sqrt (* y (- x z)))
2.8b	(sqrt (* y (- x z)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 107

Calls

4 calls:

6.0ms	(* y (- x z))
15.0ms	(* (sqrt (* y (- x z))) (sqrt (* y (- x z))))
4.0ms	(sqrt (* y (- x z)))
4.0ms	(sqrt (* y (- x z)))

series66.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* y (- x z))
29.0ms	(* (sqrt (* y (- x z))) (sqrt (* y (- x z))))
15.0ms	(sqrt (* y (- x z)))
15.0ms	(sqrt (* y (- x z)))

simplify37.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	4963	893
1	4963	893

prune79.0ms

Filtered

70 candidates to 119 candidates (-70.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	119	3	122

Merged error: 0b

Counts

122 → 3

regimes122.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	34	7
1	34	7

end0.0ms

sample832.0ms

Algorithm

intervals

Results

196.0ms	5681×	body	80	valid
133.0ms	877×	body	1280	valid
78.0ms	665×	body	640	valid
43.0ms	1272×	body	80	invalid
37.0ms	209×	body	2560	valid
34.0ms	355×	body	320	valid
28.0ms	219×	body	640	invalid
23.0ms	345×	body	160	invalid
15.0ms	161×	body	320	invalid
13.0ms	213×	body	160	valid
13.0ms	86×	body	1280	invalid

Details

analyze502.0ms

sample31.0ms

simplify116.0ms

prune9.0ms

localize4.0ms

rewrite7.0ms

series7.0ms

simplify59.0ms

prune29.0ms

localize5.0ms

rewrite4.0ms

series7.0ms

simplify51.0ms

prune17.0ms

localize6.0ms

rewrite33.0ms

series66.0ms

simplify37.0ms

prune79.0ms

regimes122.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample832.0ms

Profiling