Details

sample50.0ms

Algorithm

intervals

Results

12.0ms	326×	body	80	valid
11.0ms	298×	body	80	nan

simplify65.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.4b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(* x (sqrt (- (* y y) (* z z))))
2.4b	(- (* y y) (* z z))
26.9b	(sqrt (- (* y y) (* z z)))

rewrite74.0ms

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:

32.0ms	(* x (sqrt (- (* y y) (* z z))))
12.0ms	(- (* y y) (* z z))
29.0ms	(sqrt (- (* y y) (* z z)))

series176.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(* x (sqrt (- (* y y) (* z z))))
36.0ms	(- (* y y) (* z z))
54.0ms	(sqrt (- (* y y) (* z z)))

simplify45.0ms

Counts: 63 → 63

prune188.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.3b

localize6.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Counts: 0 → 0

prune6.0ms

Pruning

4 alts after pruning (2 fresh and 2 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

prune4.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.3b

localize22.0ms

Local error

Found 4 expressions with local error:

5.2b	(- (* (* y y) (* y y)) (* (* z z) (* z z)))
14.9b	(sqrt (- (* (* y y) (* y y)) (* (* z z) (* z z))))
26.9b	(sqrt (+ (* y y) (* z z)))
26.9b	(/ (sqrt (- (* (* y y) (* y y)) (* (* z z) (* z z)))) (sqrt (+ (* y y) (* z z))))

rewrite271.0ms

Algorithm

rewrite-expression-head

Rules

59×	`sqrt-prod`
42×	`times-frac`
38×	`add-sqr-sqrt`
36×	`add-cube-cbrt` `*-un-lft-identity`
9×	`difference-of-squares`
8×	`sqrt-div`
7×	`associate-/l*`
6×	`pow1` `add-exp-log` `associate-/r*` `add-cbrt-cube` `add-log-exp`
3×	`flip3--` `flip--`
2×	`rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `associate-/r/` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `sqrt-undiv` `frac-2neg` `diff-log` `div-exp` `clear-num` `div-inv`

Counts

4 → 116

Calls

4 calls:

49.0ms	(- (* (* y y) (* y y)) (* (* z z) (* z z)))
69.0ms	(sqrt (- (* (* y y) (* y y)) (* (* z z) (* z z))))
14.0ms	(sqrt (+ (* y y) (* z z)))
134.0ms	(/ (sqrt (- (* (* y y) (* y y)) (* (* z z) (* z z)))) (sqrt (+ (* y y) (* z z))))

series316.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(- (* (* y y) (* y y)) (* (* z z) (* z z)))
90.0ms	(sqrt (- (* (* y y) (* y y)) (* (* z z) (* z z))))
47.0ms	(sqrt (+ (* y y) (* z z)))
107.0ms	(/ (sqrt (- (* (* y y) (* y y)) (* (* z z) (* z z)))) (sqrt (+ (* y y) (* z z))))

simplify49.0ms

Counts: 128 → 128

prune508.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.3b

Details

sample50.0ms

simplify65.0ms

prune3.0ms

localize12.0ms

rewrite74.0ms

series176.0ms

simplify45.0ms

prune188.0ms

localize6.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune6.0ms

localize3.0ms

rewrite0.0ms

series0.0ms

simplify1.0ms

prune4.0ms

localize22.0ms

rewrite271.0ms

series316.0ms

simplify49.0ms

prune508.0ms

regimes327.0ms

bsearch470.0ms