Details

Time bar (total: 9.0s)

sample87.0ms

Algorithm
intervals
Results
22.0ms330×body80valid
21.0ms294×body80nan

simplify4.6s

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.4b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (sqrt (- (* y y) (* z z))))
3.0b
(- (* y y) (* z z))
26.7b
(sqrt (- (* y y) (* z z)))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
sqrt-prod
*-un-lft-identity associate-*r* add-cube-cbrt
pow1
add-cbrt-cube add-exp-log add-log-exp
sqrt-div
expm1-log1p-u flip3-- associate-*l* log1p-expm1-u flip-- difference-of-squares
associate-*r/ unswap-sqr
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:
23.0ms
(* x (sqrt (- (* y y) (* z z))))
13.0ms
(- (* y y) (* z z))
9.0ms
(sqrt (- (* y y) (* z z)))

series250.0ms

Counts
3 → 9
Calls
3 calls:
129.0ms
(* x (sqrt (- (* y y) (* z z))))
47.0ms
(- (* y y) (* z z))
73.0ms
(sqrt (- (* y y) (* z z)))

simplify851.0ms

Counts
71 → 71
Iterations
IterNodes
done5001
2956
1222
094

prune441.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize66.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* x (sqrt (sqrt (fma (- z) z (pow y 2))))) (sqrt (sqrt (- (* y y) (* z z)))))
3.0b
(- (* y y) (* z z))
26.7b
(sqrt (- (* y y) (* z z)))
26.7b
(sqrt (fma (- z) z (pow y 2)))

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
18×sqrt-prod
11×add-sqr-sqrt pow1
10×associate-*r*
*-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
sqrt-div add-log-exp
expm1-log1p-u log1p-expm1-u
flip3-- pow-prod-down prod-exp cbrt-unprod flip-- difference-of-squares
rem-sqrt-square sqrt-pow1 pow1/2 associate-*r/
sub-neg fma-neg diff-log associate-*l* prod-diff *-commutative
Counts
4 → 79
Calls
4 calls:
67.0ms
(* (* x (sqrt (sqrt (fma (- z) z (pow y 2))))) (sqrt (sqrt (- (* y y) (* z z)))))
7.0ms
(- (* y y) (* z z))
10.0ms
(sqrt (- (* y y) (* z z)))
1.0ms
(sqrt (fma (- z) z (pow y 2)))

series457.0ms

Counts
4 → 12
Calls
4 calls:
214.0ms
(* (* x (sqrt (sqrt (fma (- z) z (pow y 2))))) (sqrt (sqrt (- (* y y) (* z z)))))
74.0ms
(- (* y y) (* z z))
75.0ms
(sqrt (- (* y y) (* z z)))
94.0ms
(sqrt (fma (- z) z (pow y 2)))

simplify1.2s

Counts
91 → 91
Iterations
IterNodes
done5001
21564
1310
0129

prune622.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

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

prune13.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

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

prune0.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.1b

regimes301.0ms

bsearch43.0ms