Details

Time bar (total: 14.2s)

sample100.0ms

Algorithm
intervals
Results
38.0ms317×body80valid
35.0ms299×body80nan

simplify7.5s

Counts
1 → 1
Iterations
IterNodes
done5001
81530
7534
6291
5164
471
339
222
115
08

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.1b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (sqrt (- (* y y) (* z z))))
1.8b
(- (* y y) (* z z))
25.8b
(sqrt (- (* y y) (* z z)))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
9×sqrt-prod
7×*-un-lft-identity associate-*r* add-cube-cbrt
6×pow1
5×add-cbrt-cube add-exp-log add-log-exp
4×sqrt-div
3×expm1-log1p-u flip3-- associate-*l* insert-posit16 log1p-expm1-u flip-- difference-of-squares
2×associate-*r/ unswap-sqr
1×rem-sqrt-square sub-neg sqrt-pow1 pow1/2 fma-neg diff-log prod-diff pow-prod-down prod-exp *-commutative cbrt-unprod
Counts
3 → 65
Calls
3 calls:
27.0ms
(* x (sqrt (- (* y y) (* z z))))
11.0ms
(- (* y y) (* z z))
18.0ms
(sqrt (- (* y y) (* z z)))

series205.0ms

Counts
3 → 9
Calls
3 calls:
92.0ms
(* x (sqrt (- (* y y) (* z z))))
47.0ms
(- (* y y) (* z z))
66.0ms
(sqrt (- (* y y) (* z z)))

simplify2.9s

Counts
74 → 74
Iterations
IterNodes
done5001
33192
2630
1210
097

prune379.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (sqrt (* (+ y z) (- y z))))
25.8b
(sqrt (* (+ y z) (- y z)))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
16×sqrt-div
12×associate-*r/
8×frac-times
7×pow1
6×add-sqr-sqrt flip3-+ flip3-- flip-+ flip--
4×*-un-lft-identity add-cbrt-cube associate-*r* associate-*l/ add-exp-log add-cube-cbrt
3×associate-*l*
2×expm1-log1p-u sqrt-pow1 pow-prod-down sqrt-prod insert-posit16 log1p-expm1-u add-log-exp
1×pow1/2 prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 52
Calls
2 calls:
50.0ms
(* x (sqrt (* (+ y z) (- y z))))
12.0ms
(sqrt (* (+ y z) (- y z)))

series210.0ms

Counts
2 → 6
Calls
2 calls:
135.0ms
(* x (sqrt (* (+ y z) (- y z))))
75.0ms
(sqrt (* (+ y z) (- y z)))

simplify2.2s

Counts
58 → 58
Iterations
IterNodes
done5000
34011
2785
1222
0101

prune308.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize4.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune8.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

localize6.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune0.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.2b

regimes148.0ms

bsearch51.0ms