Details

analyze306.0ms

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
6.2%	93.6%	0.1%	6
15.6%	84.3%	0.1%	7
29.6%	70.2%	0.1%	8
33.5%	63.2%	3.3%	9
43.3%	49.5%	7.2%	10
52.1%	39.2%	8.7%	11
54.5%	34.2%	11.3%	12
60.6%	25.6%	13.8%	13
65.2%	20.4%	14.4%	14

sample20.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
1.0ms	16×	body	80	invalid

simplify14.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (12.0ms)

Iter	Nodes	Cost
0	345	9
1	345	9

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

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 x) z)
0.0b	(+ (* x y) (* (- 1.0 x) z))

rewrite11.0ms

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	(* (- 1.0 x) z)
4.0ms	(+ (* x y) (* (- 1.0 x) z))

series14.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(* (- 1.0 x) z)
8.0ms	(+ (* x y) (* (- 1.0 x) z))

simplify42.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5197	345

prune46.0ms

Filtered

26 candidates to 39 candidates (-50.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	38	1	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	38	2	40

Merged error: 0.0b

Counts

40 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- 1.0 x))
0.0b	(+ (* x y) (* (sqrt (- 1.0 x)) (* z (sqrt (- 1.0 x)))))
0.0b	(* z (sqrt (- 1.0 x)))
0.1b	(* (sqrt (- 1.0 x)) (* z (sqrt (- 1.0 x))))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
16×	`*-un-lft-identity` `sqrt-div` `sqrt-prod`
12×	`pow1`
11×	`add-exp-log` `associate-l` `add-cbrt-cube`
10×	`add-cube-cbrt` `associate-*r/`
9×	`associate-r`
8×	`flip3--` `flip--`
6×	`add-log-exp`
4×	`frac-times` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`distribute-lft-out--` `difference-of-squares`
2×	`associate-l/` `-commutative` `unswap-sqr`
1×	`+-commutative` `rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `sum-log` `flip-+`

Counts

4 → 85

Calls

4 calls:

3.0ms	(sqrt (- 1.0 x))
4.0ms	(+ (* x y) (* (sqrt (- 1.0 x)) (* z (sqrt (- 1.0 x)))))
7.0ms	(* z (sqrt (- 1.0 x)))
12.0ms	(* (sqrt (- 1.0 x)) (* z (sqrt (- 1.0 x))))

series29.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(sqrt (- 1.0 x))
8.0ms	(+ (* x y) (* (sqrt (- 1.0 x)) (* z (sqrt (- 1.0 x)))))
9.0ms	(* z (sqrt (- 1.0 x)))
5.0ms	(* (sqrt (- 1.0 x)) (* z (sqrt (- 1.0 x))))

simplify39.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5217	1021

prune132.0ms

Filtered

70 candidates to 97 candidates (-38.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	97	2	99

Merged error: 0.0b

Counts

99 → 2

regimes165.0ms

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	21	9
1	21	9

end0.0ms

sample424.0ms

Algorithm

intervals

Results

237.0ms	8000×	body	80	valid
19.0ms	665×	body	80	invalid

Details

analyze306.0ms

sample20.0ms

simplify14.0ms

prune3.0ms

localize6.0ms

rewrite11.0ms

series14.0ms

simplify42.0ms

prune46.0ms

localize9.0ms

rewrite28.0ms

series29.0ms

simplify39.0ms

prune132.0ms

regimes165.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample424.0ms

Profiling