Details

Time bar (total: 10.2s)

sample68.0ms

Algorithm
intervals
Results
23.0ms362×body80nan
20.0ms307×body80valid

simplify5.4s

Counts
1 → 1
Iterations
IterNodes
done5000
94530
81155
7370
6204
5132
461
336
221
114
08

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.4b

localize17.0ms

Local error

Found 2 expressions with local error:

2.0b
(- (* y y) (* z z))
24.8b
(sqrt (- (* y y) (* z z)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt sqrt-prod add-log-exp
pow1 *-un-lft-identity add-cube-cbrt
flip3-- add-cbrt-cube sqrt-div add-exp-log insert-posit16 flip-- difference-of-squares
rem-sqrt-square sub-neg sqrt-pow1 pow1/2 diff-log
Counts
2 → 31
Calls
2 calls:
8.0ms
(- (* y y) (* z z))
12.0ms
(sqrt (- (* y y) (* z z)))

series89.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(- (* y y) (* z z))
50.0ms
(sqrt (- (* y y) (* z z)))

simplify1.1s

Counts
37 → 37
Iterations
IterNodes
done5025
31567
2347
1129
057

prune174.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune5.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize3.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune3.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(sqrt (- y z))
0.3b
(* (sqrt (+ y z)) (sqrt (- y z)))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
18×sqrt-prod
14×sqrt-div
13×*-un-lft-identity
associate-*r*
pow1 associate-*l* add-cube-cbrt
frac-times flip3-- add-cbrt-cube add-exp-log flip-- unswap-sqr
sqrt-pow1 flip3-+ pow1/2 pow-prod-down flip-+
associate-*l/ associate-*r/ insert-posit16 distribute-lft-out-- add-log-exp difference-of-squares
rem-sqrt-square sqrt-unprod prod-exp *-commutative cbrt-unprod distribute-lft-out
Counts
2 → 60
Calls
2 calls:
7.0ms
(sqrt (- y z))
48.0ms
(* (sqrt (+ y z)) (sqrt (- y z)))

series186.0ms

Counts
2 → 6
Calls
2 calls:
100.0ms
(sqrt (- y z))
86.0ms
(* (sqrt (+ y z)) (sqrt (- y z)))

simplify2.6s

Counts
66 → 66
Iterations
IterNodes
done5005
44777
31535
2625
1251
0117

prune280.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes168.0ms

bsearch9.0ms