Details

Time bar (total: 4.7s)

sample37.0ms

Algorithm
intervals
Results
11.0ms323×body80valid
9.0ms351×body80nan

simplify1.0s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0810
11510
22210
33910
47310
513010
624010
746210
8197610
done500010

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.2b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (sqrt (- (* y y) (* z z))))
1.4b
(- (* y y) (* z z))
25.2b
(sqrt (- (* y y) (* z z)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
sqrt-prod
add-cube-cbrt *-un-lft-identity associate-*r*
pow1
add-exp-log add-cbrt-cube add-log-exp
sqrt-div
expm1-log1p-u flip3-- associate-*l* flip-- log1p-expm1-u difference-of-squares
associate-*r/ unswap-sqr
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:
12.0ms
(* x (sqrt (- (* y y) (* z z))))
3.0ms
(- (* y y) (* z z))
5.0ms
(sqrt (- (* y y) (* z z)))

series171.0ms

Counts
3 → 9
Calls
3 calls:
83.0ms
(* x (sqrt (- (* y y) (* z z))))
34.0ms
(- (* y y) (* z z))
54.0ms
(sqrt (- (* y y) (* z z)))

simplify1.5s

Counts
71 → 71
Iterations

Useful iterations: done (1.5s)

IterNodesCost
094839
1205760
2770676
33155676
done5000675

prune185.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

1.4b
(- (* y y) (* z z))
1.4b
(- (* y y) (* z z))
25.2b
(sqrt (- (* y y) (* z z)))
25.2b
(sqrt (- (* y y) (* z z)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt sqrt-prod add-log-exp
pow1 add-cube-cbrt *-un-lft-identity
add-exp-log expm1-log1p-u flip3-- sqrt-div add-cbrt-cube flip-- log1p-expm1-u difference-of-squares
sub-neg rem-sqrt-square sqrt-pow1 pow1/2 fma-neg diff-log prod-diff
Counts
4 → 70
Calls
4 calls:
3.0ms
(- (* y y) (* z z))
3.0ms
(- (* y y) (* z z))
5.0ms
(sqrt (- (* y y) (* z z)))
5.0ms
(sqrt (- (* y y) (* z z)))

series169.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(- (* y y) (* z z))
34.0ms
(- (* y y) (* z z))
54.0ms
(sqrt (- (* y y) (* z z)))
48.0ms
(sqrt (- (* y y) (* z z)))

simplify1.0s

Counts
82 → 82
Iterations

Useful iterations: done (1.0s)

IterNodesCost
062912
1136824
2471722
31868722
done5001720

prune267.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize3.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify1.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000
done00

prune4.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize2.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify1.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000
done00

prune0.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes257.0ms

bsearch8.0ms