Details

analyze507.0ms

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

sample29.0ms

Algorithm

intervals

Results

6.0ms	183×	body	80	valid
4.0ms	27×	body	1280	valid
2.0ms	19×	body	640	valid
1.0ms	15×	body	320	valid
1.0ms	33×	body	80	invalid
1.0ms	9×	body	640	invalid
1.0ms	6×	body	2560	valid
1.0ms	4×	body	1280	invalid
0.0ms	5×	body	320	invalid
0.0ms	6×	body	160	valid
0.0ms	5×	body	160	invalid

simplify142.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (140.0ms)

Iter	Nodes	Cost
0	5123	5

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.0b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(* y (- x z))

rewrite6.0ms

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))

simplify56.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4952	172
1	4952	172

prune44.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	23	4	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	23	5	28

Merged error: 0b

Counts

28 → 5

localize6.0ms

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)))

simplify50.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5170	116

prune29.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	16	0	16
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	16	5	21

Merged error: 0b

Counts

21 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (- x z) (sqrt y))
0.2b	(* (sqrt y) (* (- x z) (sqrt y)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
11×	`associate-l`
9×	`pow1` `add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
7×	`add-cube-cbrt` `associate-r` `sqrt-prod`
4×	`pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod`
2×	`flip3--` `associate-r/` `-commutative` `flip--` `add-log-exp` `unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

2 → 49

Calls

2 calls:

7.0ms	(* (- x z) (sqrt y))
9.0ms	(* (sqrt y) (* (- x z) (sqrt y)))

series19.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(* (- x z) (sqrt y))
10.0ms	(* (sqrt y) (* (- x z) (sqrt y)))

simplify37.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	4992	417
1	4992	417

prune64.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	55	5	60

Merged error: 0b

Counts

60 → 5

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))))
3.2b	(sqrt (* y (- x z)))
3.2b	(sqrt (* y (- x z)))

rewrite32.0ms

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))
13.0ms	(* (sqrt (* y (- x z))) (sqrt (* y (- x z))))
6.0ms	(sqrt (* y (- x z)))
4.0ms	(sqrt (* y (- x z)))

series67.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* y (- x z))
31.0ms	(* (sqrt (* y (- x z))) (sqrt (* y (- x z))))
15.0ms	(sqrt (* y (- x z)))
15.0ms	(sqrt (* y (- x z)))

simplify31.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	4963	893
1	4963	893

prune127.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	119	5	124

Merged error: 0b

Counts

124 → 5

regimes146.0ms

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 (0.0ms)

Iter	Nodes	Cost
0	16	5
1	16	5

end0.0ms

sample871.0ms

Algorithm

intervals

Results

195.0ms	5634×	body	80	valid
143.0ms	944×	body	1280	valid
82.0ms	651×	body	640	valid
46.0ms	1305×	body	80	invalid
38.0ms	210×	body	2560	valid
36.0ms	301×	body	640	invalid
31.0ms	344×	body	320	valid
26.0ms	262×	body	320	invalid
16.0ms	106×	body	1280	invalid
16.0ms	217×	body	160	valid
11.0ms	139×	body	160	invalid

Details

analyze507.0ms

sample29.0ms

simplify142.0ms

prune7.0ms

localize4.0ms

rewrite6.0ms

series7.0ms

simplify56.0ms

prune44.0ms

localize6.0ms

rewrite4.0ms

series7.0ms

simplify50.0ms

prune29.0ms

localize6.0ms

rewrite18.0ms

series19.0ms

simplify37.0ms

prune64.0ms

localize6.0ms

rewrite32.0ms

series67.0ms

simplify31.0ms

prune127.0ms

regimes146.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample871.0ms

Profiling