Details

sample31.0ms

Algorithm

intervals

Results

8.0ms	317×	body	80	valid
7.0ms	276×	body	80	nan

simplify85.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	5
1	21	5
2	36	5
3	62	5
4	133	5
5	211	5
6	397	5
7	1798	5
8	5001	5

prune2.0ms

Filtered

1 candidates to 0 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: 25.1b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* x (sqrt (- (* y y) (* z z))))
2.0b	(- (* y y) (* z z))
26.0b	(sqrt (- (* y y) (* z z)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-commutative`
12×	`difference-of-squares`
8×	`sqrt-prod`
4×	`sqrt-div` `associate-r`
3×	`flip3--` `flip--`
2×	`associate-*r/`
1×	`sub-neg` `pow1/2`

Counts

3 → 22

Calls

3 calls:

5.0ms	(* x (sqrt (- (* y y) (* z z))))
4.0ms	(- (* y y) (* z z))
4.0ms	(sqrt (- (* y y) (* z z)))

series149.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(* x (sqrt (- (* y y) (* z z))))
35.0ms	(- (* y y) (* z z))
45.0ms	(sqrt (- (* y y) (* z z)))

simplify91.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	98	125
1	294	121
2	715	121
3	2367	121
4	5001	121

prune60.0ms

Filtered

31 candidates to 18 candidates (58.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	27	4	31
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	28	4	32

Merged error: 0.4b

Counts

32 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (sqrt (* (+ y z) (- y z))))
26.0b	(sqrt (* (+ y z) (- y z)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

16×	`sqrt-div`
12×	`associate-*r/`
8×	`frac-times`
6×	`flip3--` `flip3-+` `flip--` `flip-+`
4×	`associate-*l/` `sqrt-prod`
3×	`*-commutative`
2×	`associate-r`
1×	`pow1/2`

Counts

2 → 22

Calls

2 calls:

5.0ms	(* x (sqrt (* (+ y z) (- y z))))
4.0ms	(sqrt (* (+ y z) (- y z)))

series142.0ms

Counts

2 → 6

Calls

2 calls:

85.0ms	(* x (sqrt (* (+ y z) (- y z))))
56.0ms	(sqrt (* (+ y z) (- y z)))

simplify61.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	145	180
1	488	180
2	2042	180
3	5001	180

prune82.0ms

Filtered

28 candidates to 24 candidates (85.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	28	0	28
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	28	4	32

Merged error: 0.4b

Counts

32 → 4

localize3.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune3.0ms

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: 0.4b

Counts

4 → 4

localize2.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune0.0ms

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: 0.4b

Counts

4 → 4

Details

sample31.0ms

simplify85.0ms

prune2.0ms

localize9.0ms

rewrite14.0ms

series149.0ms

simplify91.0ms

prune60.0ms

localize7.0ms

rewrite11.0ms

series142.0ms

simplify61.0ms

prune82.0ms

localize3.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune3.0ms

localize2.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune0.0ms

regimes98.0ms

bsearch33.0ms