Details

analyze352.0ms

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
0%	81.1%	18.9%	7
6.2%	74.9%	18.9%	8
9.4%	65.5%	25.1%	9
15.6%	48.4%	36%	10
20.3%	43.1%	36.6%	11
22.6%	36%	41.4%	12
27.1%	25.1%	47.8%	13
29.5%	22.5%	48%	14

sample22.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
2.0ms	51×	body	80	nan
1.0ms	21×	body	80	invalid

simplify109.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (108.0ms)

Iter	Nodes	Cost
0	6513	10

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: 24.3b

Counts

2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

2.8b	(- (* y y) (* z z))
24.8b	(sqrt (- (* y y) (* z z)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `sqrt-prod` `add-log-exp`
3×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
2×	`add-exp-log` `flip3--` `sqrt-div` `add-cbrt-cube` `flip--` `difference-of-squares`
1×	`sub-neg` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `diff-log`

Counts

2 → 28

Calls

2 calls:

4.0ms	(- (* y y) (* z z))
4.0ms	(sqrt (- (* y y) (* z z)))

series13.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(- (* y y) (* z z))
7.0ms	(sqrt (- (* y y) (* z z)))

simplify44.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4920	316
1	4920	316

prune53.0ms

Filtered

27 candidates to 34 candidates (-25.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	31	3	34
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	4	35

Merged error: 0.1b

Counts

35 → 4

localize3.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify3.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune7.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	1	1
Done	1	1
Total	4	4

Merged error: 0.1b

Counts

4 → 4

localize2.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify3.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune4.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	2	2
Total	4	4

Merged error: 0.1b

Counts

4 → 4

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(sqrt (+ y z))
0.3b	(* (sqrt (+ y z)) (sqrt (- y z)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
17×	`sqrt-prod`
14×	`sqrt-div`
13×	`*-un-lft-identity`
8×	`associate-r`
7×	`pow1` `add-cube-cbrt` `associate-l`
4×	`add-exp-log` `frac-times` `flip3-+` `add-cbrt-cube` `flip-+` `unswap-sqr`
3×	`flip3--` `sqrt-pow1` `pow1/2` `pow-prod-down` `flip--`
2×	`associate-r/` `associate-l/` `distribute-lft-out` `add-log-exp`
1×	`rem-sqrt-square` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 57

Calls

2 calls:

3.0ms	(sqrt (+ y z))
10.0ms	(* (sqrt (+ y z)) (sqrt (- y z)))

series18.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(sqrt (+ y z))
12.0ms	(* (sqrt (+ y z)) (sqrt (- y z)))

simplify28.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5100	699

prune59.0ms

Filtered

43 candidates to 63 candidates (-46.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	62	1	63
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	63	4	67

Merged error: 0.1b

Counts

67 → 4

Details

analyze352.0ms

sample22.0ms

simplify109.0ms

prune3.0ms

localize10.0ms

rewrite8.0ms

series13.0ms

simplify44.0ms

prune53.0ms

localize3.0ms

rewrite0.0ms

series0.0ms

simplify3.0ms

prune7.0ms

localize2.0ms

rewrite0.0ms

series0.0ms

simplify3.0ms

prune4.0ms

localize8.0ms

rewrite16.0ms

series18.0ms

simplify28.0ms

prune59.0ms

regimes498.0ms

bsearch66.0ms

Profiling