Details

Time bar (total: 4.6s)

sample338.0ms

Algorithm
intervals
Results
66.0ms225×body10240exit
11.0ms256×body80valid
1.0msbody5120valid
0.0msbody160valid

simplify3.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
078
1188
2348
3698
41418
53548
610418
737288
done50008

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

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 sinh-def add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
Counts
1 → 8
Calls
1 calls:
2.0ms
(sinh c)

series75.0ms

Counts
1 → 3
Calls
1 calls:
75.0ms
(sinh c)

simplify765.0ms

Counts
11 → 11
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
03066
16165
212861
325261
459561
5205261
done500061

prune38.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* 1/6 (pow c 3)) (+ (* 1/120 (pow c 5)) c))
0.1b
(* 1/120 (pow c 5))
0.2b
(* 1/6 (pow c 3))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
19×associate-*r*
13×add-exp-log
10×add-cube-cbrt *-un-lft-identity
unpow-prod-down add-log-exp
add-cbrt-cube unswap-sqr
associate-*l* prod-exp
cube-prod sqr-pow
pow1 sum-log
pow-to-exp pow-exp *-commutative cbrt-unprod
+-commutative cube-mult associate-+r+ flip3-+ unpow3 flip-+
Counts
3 → 69
Calls
3 calls:
10.0ms
(+ (* 1/6 (pow c 3)) (+ (* 1/120 (pow c 5)) c))
5.0ms
(* 1/120 (pow c 5))
7.0ms
(* 1/6 (pow c 3))

series139.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(+ (* 1/6 (pow c 3)) (+ (* 1/120 (pow c 5)) c))
48.0ms
(* 1/120 (pow c 5))
40.0ms
(* 1/6 (pow c 3))

simplify31.0ms

Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0120803