Details

Time bar (total: 15.3s)

sample43.0ms

Algorithm
intervals
Results
17.0ms317×body80valid
11.0ms299×body80nan

simplify9.7s

Counts
1 → 1
Iterations
IterNodes
done5000
94727
81408
7522
6289
5163
470
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)))

rewrite61.0ms

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:
23.0ms
(* x (sqrt (- (* y y) (* z z))))
18.0ms
(- (* y y) (* z z))
20.0ms
(sqrt (- (* y y) (* z z)))

series219.0ms

Counts
3 → 9
Calls
3 calls:
97.0ms
(* x (sqrt (- (* y y) (* z z))))
59.0ms
(- (* y y) (* z z))
64.0ms
(sqrt (- (* y y) (* z z)))

simplify2.1s

Counts
74 → 74
Iterations
IterNodes
done5000
32748
2590
1210
097

prune301.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite69.0ms

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))))
17.0ms
(sqrt (* (+ y z) (- y z)))

series181.0ms

Counts
2 → 6
Calls
2 calls:
97.0ms
(* x (sqrt (* (+ y z) (- y z))))
84.0ms
(sqrt (* (+ y z) (- y z)))

simplify2.0s

Counts
58 → 58
Iterations
IterNodes
done5000
33734
2751
1222
0101

prune355.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize9.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune9.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

localize9.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune1.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.2b

regimes210.0ms

bsearch50.0ms