Details

Time bar (total: 24.4s)

sample103.0ms

Algorithm
intervals
Results
39.0ms327×body80nan
22.0ms329×body80valid

simplify14.4s

Counts
1 → 1
Iterations
IterNodes
done5000
94532
81407
7521
6290
5163
470
339
222
115
08

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.3b

localize38.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (sqrt (- (* y y) (* z z))))
2.6b
(- (* y y) (* z z))
20.7b
(sqrt (- (* y y) (* z z)))

rewrite113.0ms

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×expm1-log1p-u flip3-- associate-*l* flip-- log1p-expm1-u difference-of-squares
2×associate-*r/ unswap-sqr
1×sub-neg rem-sqrt-square sqrt-pow1 pow1/2 fma-neg diff-log prod-diff pow-prod-down prod-exp *-commutative cbrt-unprod
Counts
3 → 62
Calls
3 calls:
64.0ms
(* x (sqrt (- (* y y) (* z z))))
19.0ms
(- (* y y) (* z z))
26.0ms
(sqrt (- (* y y) (* z z)))

series421.0ms

Counts
3 → 9
Calls
3 calls:
188.0ms
(* x (sqrt (- (* y y) (* z z))))
114.0ms
(- (* y y) (* z z))
119.0ms
(sqrt (- (* y y) (* z z)))

simplify3.5s

Counts
71 → 71
Iterations
IterNodes
done5003
32528
2559
1203
094

prune594.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

2.6b
(- (* y y) (* z z))
2.6b
(- (* y y) (* z z))
20.7b
(sqrt (- (* y y) (* z z)))
20.7b
(sqrt (- (* y y) (* z z)))

rewrite91.0ms

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 expm1-log1p-u flip3-- sqrt-div add-cbrt-cube flip-- log1p-expm1-u difference-of-squares
2×sub-neg rem-sqrt-square sqrt-pow1 pow1/2 fma-neg diff-log prod-diff
Counts
4 → 70
Calls
4 calls:
17.0ms
(- (* y y) (* z z))
18.0ms
(- (* y y) (* z z))
31.0ms
(sqrt (- (* y y) (* z z)))
21.0ms
(sqrt (- (* y y) (* z z)))

series364.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(- (* y y) (* z z))
75.0ms
(- (* y y) (* z z))
110.0ms
(sqrt (- (* y y) (* z z)))
99.0ms
(sqrt (- (* y y) (* z z)))

simplify2.7s

Counts
82 → 82
Iterations
IterNodes
done5000
31634
2371
1136
062

prune859.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize12.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify1.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune17.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize8.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify1.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune1.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes1.1s

bsearch48.0ms