Details

sample67.0ms

Algorithm

intervals

Results

14.0ms	330×	body	80	valid
14.0ms	324×	body	80	nan

simplify12.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	15	10
2	22	10
3	39	10
4	71	10
5	164	10
6	275	10
7	518	10
8	1912	10
done	5001	10

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.5b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(* x (sqrt (- (* y y) (* z z))))
2.8b	(- (* y y) (* z z))
24.0b	(sqrt (- (* y y) (* z z)))

rewrite69.0ms

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×	`expm1-log1p-u` `flip3--` `associate-l` `flip--` `log1p-expm1-u` `difference-of-squares`
2×	`associate-*r/` `unswap-sqr`
1×	`sub-neg` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `fma-neg` `diff-log` `prod-diff` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

3 → 62

Calls

3 calls:

30.0ms	(* x (sqrt (- (* y y) (* z z))))
9.0ms	(- (* y y) (* z z))
28.0ms	(sqrt (- (* y y) (* z z)))

series238.0ms

Counts

3 → 9

Calls

3 calls:

123.0ms	(* x (sqrt (- (* y y) (* z z))))
37.0ms	(- (* y y) (* z z))
77.0ms	(sqrt (- (* y y) (* z z)))

simplify1.2s

Counts

71 → 71

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	94	839
1	199	758
2	491	676
3	1629	676
done	5002	671

prune251.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.3b

localize12.0ms

Local error

Found 4 expressions with local error:

2.8b	(- (* y y) (* z z))
2.8b	(- (* y y) (* z z))
24.8b	(cbrt (- (* y y) (* z z)))
24.8b	(cbrt (- (* y y) (* z z)))

rewrite50.0ms

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` `expm1-log1p-u` `cbrt-div` `flip3--` `add-cbrt-cube` `flip--` `log1p-expm1-u` `difference-of-squares`
2×	`sub-neg` `fma-neg` `pow1/3` `diff-log` `prod-diff`

Counts

4 → 66

Calls

4 calls:

11.0ms	(- (* y y) (* z z))
13.0ms	(- (* y y) (* z z))
13.0ms	(cbrt (- (* y y) (* z z)))
10.0ms	(cbrt (- (* y y) (* z z)))

series382.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(- (* y y) (* z z))
50.0ms	(- (* y y) (* z z))
144.0ms	(cbrt (- (* y y) (* z z)))
133.0ms	(cbrt (- (* y y) (* z z)))

simplify1.6s

Counts

78 → 78

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	77	964
1	170	926
2	433	804
3	1257	788
done	5000	772

prune346.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.3b

localize6.0ms

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

prune10.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.3b

localize4.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify1.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune0.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.3b

Details

sample67.0ms

simplify12.3s

prune3.0ms

localize14.0ms

rewrite69.0ms

series238.0ms

simplify1.2s

prune251.0ms

localize12.0ms

rewrite50.0ms

series382.0ms

simplify1.6s

prune346.0ms

localize6.0ms

rewrite0.0ms

series0.0ms

simplify0.0ms

prune10.0ms

localize4.0ms

rewrite0.0ms

series0.0ms

simplify1.0ms

prune0.0ms

regimes577.0ms

bsearch51.0ms