Details

sample35.0ms

Algorithm

intervals

Results

8.0ms	328×	body	80	valid
7.0ms	296×	body	80	nan

simplify110.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	5
1	22	5
2	39	5
3	71	5
4	167	5
5	298	5
6	545	5
7	2142	5
8	5001	5
done	5001	5

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.9b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* x (sqrt (- (* y y) (* z z))))
2.8b	(- (* y y) (* z z))
25.2b	(sqrt (- (* y y) (* z z)))

rewrite52.0ms

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:

27.0ms	(* x (sqrt (- (* y y) (* z z))))
12.0ms	(- (* y y) (* z z))
11.0ms	(sqrt (- (* y y) (* z z)))

series171.0ms

Counts

3 → 9

Calls

3 calls:

83.0ms	(* x (sqrt (- (* y y) (* z z))))
34.0ms	(- (* y y) (* z z))
54.0ms	(sqrt (- (* y y) (* z z)))

simplify93.0ms

Counts

71 → 71

Iterations

Useful iterations: 3 (87.0ms)

Iter	Nodes	Cost
0	202	397
1	786	374
2	3192	368
3	5001	364
done	5001	364

prune187.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

2.8b	(- (* y y) (* z z))
2.8b	(- (* y y) (* z z))
25.2b	(sqrt (- (* y y) (* z z)))
25.2b	(sqrt (- (* y y) (* z z)))

rewrite44.0ms

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

Counts

4 → 70

Calls

4 calls:

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

series171.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(- (* y y) (* z z))
34.0ms	(- (* y y) (* z z))
53.0ms	(sqrt (- (* y y) (* z z)))
51.0ms	(sqrt (- (* y y) (* z z)))

simplify65.0ms

Counts

82 → 82

Iterations

Useful iterations: 3 (59.0ms)

Iter	Nodes	Cost
0	135	420
1	482	394
2	1632	388
3	5001	378
done	5001	378

prune273.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize3.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify4.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune4.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize2.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify3.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune0.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

Details

sample35.0ms

simplify110.0ms

prune3.0ms

localize8.0ms

rewrite52.0ms

series171.0ms

simplify93.0ms

prune187.0ms

localize10.0ms

rewrite44.0ms

series171.0ms

simplify65.0ms

prune273.0ms

localize3.0ms

rewrite0.0ms

series0.0ms

simplify4.0ms

prune4.0ms

localize2.0ms

rewrite0.0ms

series0.0ms

simplify3.0ms

prune0.0ms

regimes335.0ms

bsearch10.0ms