Details

Time bar (total: 8.8s)

sample90.0ms

Algorithm
intervals
Results
35.0ms331×body80valid
20.0ms338×body80nan

simplify4.2s

Counts
1 → 1
Iterations
IterNodes
done5000
83626
7879
6369
5164
471
339
222
115
08

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.3b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (sqrt (- (* y y) (* z z))))
2.0b
(- (* y y) (* z z))
26.8b
(sqrt (- (* y y) (* z z)))

rewrite64.0ms

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* 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 → 62
Calls
3 calls:
39.0ms
(* x (sqrt (- (* y y) (* z z))))
10.0ms
(- (* y y) (* z z))
13.0ms
(sqrt (- (* y y) (* z z)))

series240.0ms

Counts
3 → 9
Calls
3 calls:
113.0ms
(* x (sqrt (- (* y y) (* z z))))
53.0ms
(- (* y y) (* z z))
74.0ms
(sqrt (- (* y y) (* z z)))

simplify1.0s

Counts
71 → 71
Iterations
IterNodes
done5001
2956
1222
094

prune367.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

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

prune8.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize4.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify5.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune5.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b
(sqrt (+ y z))
0.1b
(* x (sqrt (+ y z)))
0.2b
(* (* x (sqrt (+ y z))) (sqrt (- y z)))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
16×sqrt-div
15×*-un-lft-identity associate-*r*
14×sqrt-prod
11×pow1
10×add-cbrt-cube associate-*r/ add-exp-log
9×add-cube-cbrt
5×flip3-+ flip-+
4×frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod
3×expm1-log1p-u flip3-- log1p-expm1-u flip-- add-log-exp
2×associate-*l/ *-commutative distribute-lft-out unswap-sqr
1×rem-sqrt-square sqrt-pow1 pow1/2 hypot-def distribute-lft-out-- difference-of-squares
Counts
3 → 79
Calls
3 calls:
11.0ms
(sqrt (+ y z))
23.0ms
(* x (sqrt (+ y z)))
49.0ms
(* (* x (sqrt (+ y z))) (sqrt (- y z)))

series315.0ms

Counts
3 → 9
Calls
3 calls:
60.0ms
(sqrt (+ y z))
92.0ms
(* x (sqrt (+ y z)))
163.0ms
(* (* x (sqrt (+ y z))) (sqrt (- y z)))

simplify1.3s

Counts
88 → 88
Iterations
IterNodes
done5001
21864
1422
0164

prune399.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.1b

regimes690.0ms

bsearch15.0ms