Details

sample82.0ms

Algorithm

intervals

Results

21.0ms	342×	body	80	valid
20.0ms	324×	body	80	nan

simplify5.1s

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	369	10
7	908	10
8	3753	10
done	5000	10

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.7b

localize10.0ms

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×	`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:

46.0ms	(* x (sqrt (- (* y y) (* z z))))
10.0ms	(- (* y y) (* z z))
13.0ms	(sqrt (- (* y y) (* z z)))

series254.0ms

Counts

3 → 9

Calls

3 calls:

108.0ms	(* x (sqrt (- (* y y) (* z z))))
42.0ms	(- (* y y) (* z z))
104.0ms	(sqrt (- (* y y) (* z z)))

simplify895.0ms

Counts

71 → 71

Iterations

Useful iterations: done (892.0ms)

Iter	Nodes	Cost
0	94	839
1	222	763
2	948	678
done	5000	676

prune273.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

localize27.0ms

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)))

rewrite47.0ms

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

Counts

4 → 61

Calls

4 calls:

2.0ms	(cbrt x)
2.0ms	(cbrt x)
18.0ms	(- (* y y) (* z z))
24.0ms	(sqrt (- (* y y) (* z z)))

series780.0ms

Counts

4 → 12

Calls

4 calls:

344.0ms	(cbrt x)
307.0ms	(cbrt x)
45.0ms	(- (* y y) (* z z))
84.0ms	(sqrt (- (* y y) (* z z)))

simplify805.0ms

Counts

73 → 73

Iterations

Useful iterations: done (802.0ms)

Iter	Nodes	Cost
0	86	598
1	193	550
2	812	483
done	5000	477

prune295.0ms

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

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

prune1.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.2b

Details

sample82.0ms

simplify5.1s

prune9.0ms

localize10.0ms

rewrite72.0ms

series254.0ms

simplify895.0ms

prune273.0ms

localize27.0ms

rewrite47.0ms

series780.0ms

simplify805.0ms

prune295.0ms

localize4.0ms

rewrite0.0ms

series0.0ms

simplify0.0ms

prune4.0ms

localize4.0ms

rewrite0.0ms

series0.0ms

simplify1.0ms

prune1.0ms

regimes561.0ms

bsearch11.0ms