Details

sample62.0ms

Algorithm

intervals

Results

19.0ms	314×	body	80	valid
13.0ms	303×	body	80	nan

simplify73.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.6b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(* x (sqrt (- (* y y) (* z z))))
3.4b	(- (* y y) (* z z))
24.8b	(sqrt (- (* y y) (* z z)))

rewrite85.0ms

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:

56.0ms	(* x (sqrt (- (* y y) (* z z))))
13.0ms	(- (* y y) (* z z))
14.0ms	(sqrt (- (* y y) (* z z)))

series224.0ms

Counts

3 → 9

Calls

3 calls:

104.0ms	(* x (sqrt (- (* y y) (* z z))))
52.0ms	(- (* y y) (* z z))
68.0ms	(sqrt (- (* y y) (* z z)))

simplify49.0ms

Counts: 63 → 63

prune179.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.3b

localize3.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify1.0ms

Counts: 0 → 0

prune3.0ms

Pruning

4 alts after pruning (2 fresh and 2 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

prune2.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.3b

localize10.0ms

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)))

rewrite118.0ms

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:

58.0ms	(* x (* (sqrt (+ y z)) (sqrt (- y z))))
7.0ms	(sqrt (- y z))
47.0ms	(* (sqrt (+ y z)) (sqrt (- y z)))

series306.0ms

Counts

3 → 9

Calls

3 calls:

128.0ms	(* x (* (sqrt (+ y z)) (sqrt (- y z))))
92.0ms	(sqrt (- y z))
86.0ms	(* (sqrt (+ y z)) (sqrt (- y z)))

simplify35.0ms

Counts: 93 → 93

prune250.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.3b

Details

sample62.0ms

simplify73.0ms

prune3.0ms

localize13.0ms

rewrite85.0ms

series224.0ms

simplify49.0ms

prune179.0ms

localize3.0ms

rewrite0.0ms

series0.0ms

simplify1.0ms

prune3.0ms

localize4.0ms

rewrite0.0ms

series0.0ms

simplify1.0ms

prune2.0ms

localize10.0ms

rewrite118.0ms

series306.0ms

simplify35.0ms

prune250.0ms

regimes363.0ms

bsearch38.0ms