Details

Time bar (total: 4.4s)

sample67.0ms

Algorithm
intervals
Results
20.0ms331×body80nan
14.0ms317×body80valid

simplify1.1s

Counts
1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.2b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (sqrt (- (* y y) (* z z))))
1.6b
(- (* y y) (* z z))
23.2b
(sqrt (- (* y y) (* z z)))

rewrite64.0ms

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:
42.0ms
(* x (sqrt (- (* y y) (* z z))))
8.0ms
(- (* y y) (* z z))
12.0ms
(sqrt (- (* y y) (* z z)))

series193.0ms

Counts
3 → 9
Calls
3 calls:
85.0ms
(* x (sqrt (- (* y y) (* z z))))
52.0ms
(- (* y y) (* z z))
55.0ms
(sqrt (- (* y y) (* z z)))

simplify1.1s

Counts
63 → 63

prune185.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

1.6b
(- (* y y) (* z z))
1.6b
(- (* y y) (* z z))
23.2b
(sqrt (- (* y y) (* z z)))
23.2b
(sqrt (- (* y y) (* z z)))

rewrite48.0ms

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 flip3-- sqrt-div add-cbrt-cube flip-- difference-of-squares
2×sub-neg rem-sqrt-square sqrt-pow1 pow1/2 diff-log
Counts
4 → 58
Calls
4 calls:
8.0ms
(- (* y y) (* z z))
9.0ms
(- (* y y) (* z z))
16.0ms
(sqrt (- (* y y) (* z z)))
14.0ms
(sqrt (- (* y y) (* z z)))

series205.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(- (* y y) (* z z))
47.0ms
(- (* y y) (* z z))
63.0ms
(sqrt (- (* y y) (* z z)))
48.0ms
(sqrt (- (* y y) (* z z)))

simplify688.0ms

Counts
70 → 70

prune279.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify15.0ms

Counts
0 → 0

prune6.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify14.0ms

Counts
0 → 0

prune0.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes358.0ms

bsearch29.0ms