Details

sample72.0ms

Algorithm

intervals

Results

14.0ms	332×	body	80	nan
14.0ms	320×	body	80	valid

simplify13.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
9	4530
8	1155
7	370
6	204
5	132
4	61
3	36
2	21
1	14
0	8

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.1b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(* x (sqrt (- (* y y) (* z z))))
2.8b	(- (* y y) (* z z))
25.9b	(sqrt (- (* y y) (* z z)))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
9×	`sqrt-prod`
7×	`-un-lft-identity` `associate-r*` `add-cube-cbrt`
6×	`pow1`
5×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
4×	`sqrt-div`
3×	`flip3--` `associate-l` `insert-posit16` `flip--` `difference-of-squares`
2×	`associate-*r/` `unswap-sqr`
1×	`rem-sqrt-square` `sub-neg` `sqrt-pow1` `pow1/2` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

3 → 57

Calls

3 calls:

64.0ms	(* x (sqrt (- (* y y) (* z z))))
20.0ms	(- (* y y) (* z z))
24.0ms	(sqrt (- (* y y) (* z z)))

series275.0ms

Counts

3 → 9

Calls

3 calls:

162.0ms	(* x (sqrt (- (* y y) (* z z))))
48.0ms	(- (* y y) (* z z))
64.0ms	(sqrt (- (* y y) (* z z)))

simplify3.8s

Counts

66 → 66

Iterations

Iter	Nodes
done	5011
3	2467
2	549
1	198
0	88

prune742.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize106.0ms

Local error

Found 4 expressions with local error:

12.8b	(sqrt (* (cbrt (- (* y y) (* z z))) (cbrt (- (* y y) (* z z)))))
26.8b	(cbrt (- (* y y) (* z z)))
26.8b	(cbrt (- (* y y) (* z z)))
26.8b	(cbrt (- (* y y) (* z z)))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div`
12×	`cbrt-prod` `pow1`
9×	`sqrt-pow1` `flip3--` `pow1/3` `flip--`
8×	`sqrt-div`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`frac-times` `add-cbrt-cube` `add-exp-log` `insert-posit16` `add-log-exp`
3×	`difference-of-squares`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `rem-sqrt-square` `pow-plus` `pow1/2` `sqrt-prod`

Counts

4 → 73

Calls

4 calls:

33.0ms	(sqrt (* (cbrt (- (* y y) (* z z))) (cbrt (- (* y y) (* z z)))))
8.0ms	(cbrt (- (* y y) (* z z)))
12.0ms	(cbrt (- (* y y) (* z z)))
16.0ms	(cbrt (- (* y y) (* z z)))

series1.0s

Counts

4 → 12

Calls

4 calls:

263.0ms	(sqrt (* (cbrt (- (* y y) (* z z))) (cbrt (- (* y y) (* z z)))))
267.0ms	(cbrt (- (* y y) (* z z)))
252.0ms	(cbrt (- (* y y) (* z z)))
267.0ms	(cbrt (- (* y y) (* z z)))

simplify7.1s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
4	4602
3	1301
2	456
1	203
0	107

prune1.2s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize13.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune20.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize6.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune2.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

Details

sample72.0ms

simplify13.9s

prune10.0ms

localize26.0ms

rewrite111.0ms

series275.0ms

simplify3.8s

prune742.0ms

localize106.0ms

rewrite74.0ms

series1.0s

simplify7.1s

prune1.2s

localize13.0ms

rewrite0.0ms

series0.0ms

simplify0.0ms

prune20.0ms

localize6.0ms

rewrite0.0ms

series0.0ms

simplify0.0ms

prune2.0ms

regimes2.1s

bsearch24.0ms