Details

sample69.0ms

Algorithm

intervals

Results

16.0ms	342×	body	80	valid
15.0ms	324×	body	80	nan

simplify3.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	14	10
2	21	10
3	36	10
4	62	10
5	133	10
6	286	10
7	727	10
8	3329	10
done	5000	10

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.7b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(* x (sqrt (- (* y y) (* z z))))
1.8b	(- (* y y) (* z z))
24.1b	(sqrt (- (* y y) (* z z)))

rewrite72.0ms

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:

38.0ms	(* x (sqrt (- (* y y) (* z z))))
11.0ms	(- (* y y) (* z z))
20.0ms	(sqrt (- (* y y) (* z z)))

series222.0ms

Counts

3 → 9

Calls

3 calls:

99.0ms	(* x (sqrt (- (* y y) (* z z))))
62.0ms	(- (* y y) (* z z))
61.0ms	(sqrt (- (* y y) (* z z)))

simplify654.0ms

Counts

63 → 63

Iterations

Useful iterations: done (653.0ms)

Iter	Nodes	Cost
0	85	765
1	211	697
2	930	615
done	5001	613

prune147.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
1.8b	(- (* y y) (* z z))
24.1b	(sqrt (- (* y y) (* z z)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 51

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
9.0ms	(- (* y y) (* z z))
10.0ms	(sqrt (- (* y y) (* z z)))

series636.0ms

Counts

4 → 12

Calls

4 calls:

252.0ms	(cbrt x)
283.0ms	(cbrt x)
45.0ms	(- (* y y) (* z z))
57.0ms	(sqrt (- (* y y) (* z z)))

simplify511.0ms

Counts

63 → 63

Iterations

Useful iterations: done (509.0ms)

Iter	Nodes	Cost
0	77	534
1	181	494
2	768	430
done	5001	424

prune203.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.2b

localize4.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune4.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.2b

localize3.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune0.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.2b

Details

sample69.0ms

simplify3.4s

prune5.0ms

localize19.0ms

rewrite72.0ms

series222.0ms

simplify654.0ms

prune147.0ms

localize14.0ms

rewrite22.0ms

series636.0ms

simplify511.0ms

prune203.0ms

localize4.0ms

rewrite0.0ms

series0.0ms

simplify0.0ms

prune4.0ms

localize3.0ms

rewrite0.0ms

series0.0ms

simplify0.0ms

prune0.0ms

regimes423.0ms

bsearch15.0ms