Details

Time bar (total: 12.1s)

sample382.0ms

Algorithm
intervals
Results
121.0ms326×body80nan
87.0ms57×body10240exit
50.0ms256×body80valid

simplify1.4s

Counts
1 → 1
Iterations
IterNodes
done2050
72050
61161
5250
4110
345
222
113
07

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 1 expressions with local error:

1.0b
(sqrt (atan2 b b))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt sqrt-prod
pow1 *-un-lft-identity add-cube-cbrt
rem-sqrt-square sqrt-pow1 add-cbrt-cube pow1/2 add-exp-log insert-posit16 add-log-exp
Counts
1 → 14
Calls
1 calls:
2.0ms
(sqrt (atan2 b b))

series31.0ms

Counts
1 → 3
Calls
1 calls:
31.0ms
(sqrt (atan2 b b))

simplify1.3s

Counts
17 → 17
Iterations
IterNodes
done2048
102048
9885
8354
7118
673
551
439
331
227
124
019

prune86.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 2 expressions with local error:

1.0b
(sqrt (atan2 b b))
1.0b
(sqrt (atan2 b b))

rewrite2.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt sqrt-prod
pow1 *-un-lft-identity add-cube-cbrt
rem-sqrt-square sqrt-pow1 add-cbrt-cube pow1/2 add-exp-log insert-posit16 add-log-exp
Counts
2 → 28
Calls
2 calls:
1.0ms
(sqrt (atan2 b b))
1.0ms
(sqrt (atan2 b b))

series32.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(sqrt (atan2 b b))
11.0ms
(sqrt (atan2 b b))

simplify1.4s

Counts
34 → 34
Iterations
IterNodes
done2048
102048
9885
8354
7118
673
551
439
331
227
124
019

prune198.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations
IterNodes
done9
09

end0.0ms

sample7.2s

Algorithm
intervals
Results
2.9s1894×body10240exit
2.3s10060×body80nan
1.4s7987×body80valid
6.0msbody5120valid
4.0msbody2560valid
2.0msbody640valid
2.0msbody1280valid
2.0msbody160valid
1.0msbody320valid