Details

sample64.0ms

Algorithm

intervals

Results

15.0ms	337×	body	80	valid
14.0ms	328×	body	80	nan

simplify3.2s

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.4b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* x (sqrt (- (* y y) (* z z))))
2.4b	(- (* y y) (* z z))
23.2b	(sqrt (- (* y y) (* z z)))

rewrite66.0ms

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:

46.0ms	(* x (sqrt (- (* y y) (* z z))))
9.0ms	(- (* y y) (* z z))
10.0ms	(sqrt (- (* y y) (* z z)))

series214.0ms

Counts

3 → 9

Calls

3 calls:

101.0ms	(* x (sqrt (- (* y y) (* z z))))
52.0ms	(- (* y y) (* z z))
61.0ms	(sqrt (- (* y y) (* z z)))

simplify599.0ms

Counts

63 → 63

Iterations

Useful iterations: done (597.0ms)

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

prune194.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize8.0ms

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

prune7.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

localize5.0ms

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

prune5.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.2b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(* x (* (sqrt (+ y z)) (sqrt (- y z))))
0.0b	(sqrt (- y z))
0.2b	(* (sqrt (+ y z)) (sqrt (- y z)))

rewrite184.0ms

Algorithm

rewrite-expression-head

Rules

26×	`sqrt-div`
22×	`add-sqr-sqrt`
18×	`sqrt-prod`
15×	`*-un-lft-identity`
13×	`pow1`
12×	`associate-*r/`
10×	`add-exp-log` `associate-l` `add-cbrt-cube`
9×	`add-cube-cbrt` `associate-r`
8×	`frac-times`
7×	`flip3--` `flip--`
6×	`flip3-+` `pow-prod-down` `flip-+`
4×	`associate-*l/` `prod-exp` `cbrt-unprod` `unswap-sqr`
3×	`sqrt-pow1` `pow1/2` `add-log-exp`
2×	`*-commutative` `distribute-lft-out--` `difference-of-squares`
1×	`rem-sqrt-square` `sqrt-unprod` `distribute-lft-out`

Counts

3 → 84

Calls

3 calls:

76.0ms	(* x (* (sqrt (+ y z)) (sqrt (- y z))))
13.0ms	(sqrt (- y z))
91.0ms	(* (sqrt (+ y z)) (sqrt (- y z)))

series383.0ms

Counts

3 → 9

Calls

3 calls:

150.0ms	(* x (* (sqrt (+ y z)) (sqrt (- y z))))
113.0ms	(sqrt (- y z))
120.0ms	(* (sqrt (+ y z)) (sqrt (- y z)))

simplify665.0ms

Counts

93 → 93

Iterations

Useful iterations: done (661.0ms)

Iter	Nodes	Cost
0	154	1250
1	361	1136
2	1422	1074
done	5000	1058

prune282.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.2b

Details

sample64.0ms

simplify3.2s

prune4.0ms

localize9.0ms

rewrite66.0ms

series214.0ms

simplify599.0ms

prune194.0ms

localize8.0ms

rewrite0.0ms

series0.0ms

simplify1.0ms

prune7.0ms

localize5.0ms

rewrite0.0ms

series0.0ms

simplify1.0ms

prune5.0ms

localize18.0ms

rewrite184.0ms

series383.0ms

simplify665.0ms

prune282.0ms

regimes317.0ms

bsearch13.0ms