Details

Time bar (total: 11.3s)

sample1.5s

Algorithm
intervals
Results
1.0s239×body10240exit
241.0ms105×body2560valid
86.0ms84×body1280valid
38.0ms511×body80nan
20.0ms34×body640valid
8.0ms22×body320valid
2.0msbody160valid
0.0msbody80valid

simplify5.0s

Counts
1 → 1
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
07556
116556
224556
344556
487556
5199556
6774556
73478556
done5041556

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.5b

localize37.0ms

Local error

Found 3 expressions with local error:

0.0b
(log1p a)
1.4b
(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
60.2b
(fmod (cosh a) (* a a))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt add-log-exp
acos-asin
Counts
3 → 22
Calls
3 calls:
0.0ms
(log1p a)
2.0ms
(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
1.0ms
(fmod (cosh a) (* a a))

series16.0ms

Counts
3 → 9
Calls
3 calls:
2.0ms
(log1p a)
4.0ms
(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
10.0ms
(fmod (cosh a) (* a a))

simplify4.4s

Counts
31 → 31
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
03611269
15910243
28510243
312810243
422110243
546510243
6106710243
7338710243
done504010243

prune176.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 58.8b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(log1p a)
1.4b
(acos (pow (fmod (cosh a) (* a a)) (log (exp (log1p a)))))
5.9b
(log (exp (log1p a)))
60.2b
(fmod (cosh a) (* a a))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt *-un-lft-identity add-cube-cbrt
pow1
add-cbrt-cube add-exp-log log-pow add-log-exp
log-prod exp-prod
acos-asin rem-log-exp
Counts
4 → 37
Calls
4 calls:
0.0ms
(log1p a)
1.0ms
(acos (pow (fmod (cosh a) (* a a)) (log (exp (log1p a)))))
4.0ms
(log (exp (log1p a)))
0.0ms
(fmod (cosh a) (* a a))

series10.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(log1p a)
4.0ms
(acos (pow (fmod (cosh a) (* a a)) (log (exp (log1p a)))))
2.0ms
(log (exp (log1p a)))
3.0ms
(fmod (cosh a) (* a a))

simplify49.0ms

Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
05817279
19013453