Details

sample39.0ms

Algorithm

intervals

Results

11.0ms	326×	body	80	valid
10.0ms	304×	body	80	nan

simplify86.0ms

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: 27.1b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(* x (sqrt (- (* y y) (* z z))))
2.0b	(- (* y y) (* z z))
25.6b	(sqrt (- (* y y) (* z z)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
9×	`sqrt-prod`
7×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
6×	`pow1`
5×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`sqrt-div`
3×	`flip3--` `associate-l` `flip--` `difference-of-squares`
2×	`associate-*r/` `unswap-sqr`
1×	`sub-neg` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

3 → 54

Calls

3 calls:

7.0ms	(* x (sqrt (- (* y y) (* z z))))
3.0ms	(- (* y y) (* z z))
3.0ms	(sqrt (- (* y y) (* z z)))

series162.0ms

Counts

3 → 9

Calls

3 calls:

78.0ms	(* x (sqrt (- (* y y) (* z z))))
30.0ms	(- (* y y) (* z z))
53.0ms	(sqrt (- (* y y) (* z z)))

simplify79.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	187	364
1	732	340
2	3010	337
3	5002	337

prune132.0ms

Filtered

63 candidates to 46 candidates (73.0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	58	5	63
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	59	5	64

Merged error: 0.0b

Counts

64 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

2.0b	(- (* y y) (* z z))
2.0b	(- (* y y) (* z z))
25.6b	(sqrt (- (* y y) (* z z)))
25.6b	(sqrt (- (* y y) (* z z)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

4.0ms	(- (* y y) (* z z))
4.0ms	(- (* y y) (* z z))
9.0ms	(sqrt (- (* y y) (* z z)))
4.0ms	(sqrt (- (* y y) (* z z)))

series168.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(- (* y y) (* z z))
31.0ms	(- (* y y) (* z z))
52.0ms	(sqrt (- (* y y) (* z z)))
46.0ms	(sqrt (- (* y y) (* z z)))

simplify51.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (45.0ms)

Iter	Nodes	Cost
0	122	378
1	432	350
2	1459	350
3	5001	348

prune188.0ms

Filtered

70 candidates to 54 candidates (77.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	70	5	75

Merged error: 0.0b

Counts

75 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

2.0b	(- (* y y) (* z z))
2.0b	(- (* y y) (* z z))
26.6b	(cbrt (- (* y y) (* z z)))
26.6b	(cbrt (- (* y y) (* z z)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 54

Calls

4 calls:

3.0ms	(- (* y y) (* z z))
3.0ms	(- (* y y) (* z z))
3.0ms	(cbrt (- (* y y) (* z z)))
3.0ms	(cbrt (- (* y y) (* z z)))

series289.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(- (* y y) (* z z))
32.0ms	(- (* y y) (* z z))
117.0ms	(cbrt (- (* y y) (* z z)))
111.0ms	(cbrt (- (* y y) (* z z)))

simplify56.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	160	434
1	521	394
2	1675	390
3	5002	390

prune194.0ms

Filtered

66 candidates to 54 candidates (81.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	66	5	71

Merged error: 0.0b

Counts

71 → 5

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

prune0.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	1	1
Done	2	2
Total	5	5

Merged error: 0.0b

Counts

5 → 5

Details

sample39.0ms

simplify86.0ms

prune2.0ms

localize7.0ms

rewrite15.0ms

series162.0ms

simplify79.0ms

prune132.0ms

localize10.0ms

rewrite21.0ms

series168.0ms

simplify51.0ms

prune188.0ms

localize10.0ms

rewrite15.0ms

series289.0ms

simplify56.0ms

prune194.0ms

localize3.0ms

rewrite0.0ms

series0.0ms

simplify3.0ms

prune0.0ms

regimes361.0ms

bsearch9.0ms

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