Details

sample54.0ms

Algorithm

intervals

Results

13.0ms	328×	body	80	valid
13.0ms	333×	body	80	nan

simplify747.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	10
1	14	10
2	21	10
3	36	10
4	63	10
5	104	10
6	168	10
7	336	10
8	1654	10
done	5000	10

prune4.0ms

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: 24.8b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(* x (sqrt (- (* y y) (* z z))))
2.4b	(- (* y y) (* z z))
24.0b	(sqrt (- (* y y) (* z z)))

rewrite24.0ms

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:

8.0ms	(* x (sqrt (- (* y y) (* z z))))
11.0ms	(- (* y y) (* z z))
4.0ms	(sqrt (- (* y y) (* z z)))

series35.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(* x (sqrt (- (* y y) (* z z))))
7.0ms	(- (* y y) (* z z))
8.0ms	(sqrt (- (* y y) (* z z)))

simplify527.0ms

Counts

63 → 63

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	86	766
1	190	699
2	574	613
3	1629	613
done	5001	613

prune86.0ms

Filtered

46 candidates to 63 candidates (-37.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	59	4	63
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	59	5	64

Merged error: 0.0b

Counts

64 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

2.4b	(- (* y y) (* z z))
2.4b	(- (* y y) (* z z))
25.0b	(cbrt (- (* y y) (* z z)))
25.0b	(cbrt (- (* y y) (* z z)))

rewrite18.0ms

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:

4.0ms	(- (* y y) (* z z))
5.0ms	(- (* y y) (* z z))
4.0ms	(cbrt (- (* y y) (* z z)))
4.0ms	(cbrt (- (* y y) (* z z)))

series70.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(- (* y y) (* z z))
11.0ms	(- (* y y) (* z z))
26.0ms	(cbrt (- (* y y) (* z z)))
27.0ms	(cbrt (- (* y y) (* z z)))

simplify499.0ms

Counts

66 → 66

Iterations

Useful iterations: done (497.0ms)

Iter	Nodes	Cost
0	80	890
1	178	862
2	542	730
3	1453	704
done	5000	690

prune109.0ms

Filtered

54 candidates to 66 candidates (-22.2%)

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

simplify1.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune6.0ms

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

localize2.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify1.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune0.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	3	3
Total	5	5

Merged error: 0.0b

Counts

5 → 5

Details

sample54.0ms

simplify747.0ms

prune4.0ms

localize7.0ms

rewrite24.0ms

series35.0ms

simplify527.0ms

prune86.0ms

localize11.0ms

rewrite18.0ms

series70.0ms

simplify499.0ms

prune109.0ms

localize3.0ms

rewrite0.0ms

series0.0ms

simplify1.0ms

prune6.0ms

localize2.0ms

rewrite0.0ms

series0.0ms

simplify1.0ms

prune0.0ms

regimes663.0ms

bsearch23.0ms

Profiling