Details

Time bar (total: 6.6s)

sample335.0ms

Algorithm
intervals
Results
68.0ms225×body10240exit
11.0ms256×body80valid
1.0msbody5120valid
0.0msbody160valid

simplify3.6s

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
078
1188
2348
3718
41458
53608
610658
738348
done50008

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b
(sinh c)

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-sqr-sqrt expm1-log1p-u sinh-def add-cube-cbrt *-un-lft-identity add-cbrt-cube log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
2.0ms
(sinh c)

series77.0ms

Counts
1 → 3
Calls
1 calls:
76.0ms
(sinh c)

simplify839.0ms

Counts
13 → 13
Iterations

Useful iterations: 2 (17.0ms)

IterNodesCost
03272
16569
213665
329165
466165
5220165
done500065

prune44.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 1 expressions with local error:

0.0b
(fma 1/6 (pow c 3) (fma 1/120 (pow c 5) c))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma 1/6 (pow c 3) (fma 1/120 (pow c 5) c))

series55.0ms

Counts
1 → 3
Calls
1 calls:
55.0ms
(fma 1/6 (pow c 3) (fma 1/120 (pow c 5) c))

simplify1.3s

Counts
13 → 13
Iterations

Useful iterations: 2 (12.0ms)

IterNodesCost
022188
142182
2119160
3474160
42772160
done5000160

prune40.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (sinh c))
0.0b
(sinh c)
0.0b
(sinh c)
0.2b
(* (sqrt (sinh c)) (sqrt (sinh c)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
21×sqrt-prod
20×pow1
13×add-cube-cbrt *-un-lft-identity
sqrt-pow1 pow1/2
swap-sqr
sinh-def
add-exp-log associate-*r* associate-*l* add-cbrt-cube
sqrt-div pow-prod-up
expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
pow-prod-down pow-sqr
pow2 frac-times rem-sqrt-square pow-plus sqrt-unprod associate-*r/ associate-*l/ prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 90
Calls
4 calls:
1.0ms
(sqrt (sinh c))
0.0ms
(sinh c)
0.0ms
(sinh c)
9.0ms
(* (sqrt (sinh c)) (sqrt (sinh c)))

series241.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(sqrt (sinh c))
62.0ms
(sinh c)
61.0ms
(sinh c)
58.0ms
(* (sqrt (sinh c)) (sqrt (sinh c)))

simplify27.0ms

Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0100845