Details

Time bar (total: 2.9s)

sample1.5s

Algorithm
intervals
Results
674.0ms31×body5120valid
305.0ms117×body1280valid
227.0ms57×body2560valid
195.0ms77×body640valid
38.0ms34×body320valid
19.0ms52×body80valid
5.0msbody160valid

simplify230.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
229.0ms
(/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)))

prune28.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 28.1b

localize54.0ms

Local error

Found 4 expressions with local error:

26.8b
(/ (/ (/ (/ 2 (tan k)) (sin k)) (/ t (* (/ l t) (/ l t)))) (* (/ k t) (/ k t)))
4.0b
(/ (/ (/ 2 (tan k)) (sin k)) (/ t (* (/ l t) (/ l t))))
1.1b
(/ t (* (/ l t) (/ l t)))
0.3b
(/ (/ 2 (tan k)) (sin k))

rewrite244.0ms

Algorithm
rewrite-expression-head
Rules
4482×times-frac
1445×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
837×add-cbrt-cube add-exp-log
561×cbrt-undiv div-exp
528×associate-/l*
523×associate-/r/
273×div-inv
152×prod-exp cbrt-unprod
141×frac-times associate-*l/ associate-*r/
97×tan-quot
15×associate-/r*
pow1 clear-num frac-2neg insert-posit16 add-log-exp
associate-/l/
Counts
4 → 1807
Calls
4 calls:
Slowest
75.0ms
(/ (/ (/ (/ 2 (tan k)) (sin k)) (/ t (* (/ l t) (/ l t)))) (* (/ k t) (/ k t)))
33.0ms
(/ (/ (/ 2 (tan k)) (sin k)) (/ t (* (/ l t) (/ l t))))
16.0ms
(/ (/ 2 (tan k)) (sin k))
10.0ms
(/ t (* (/ l t) (/ l t)))

series801.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
348.0ms
(/ (/ (/ (/ 2 (tan k)) (sin k)) (/ t (* (/ l t) (/ l t)))) (* (/ k t) (/ k t)))
339.0ms
(/ (/ (/ 2 (tan k)) (sin k)) (/ t (* (/ l t) (/ l t))))
62.0ms
(/ (/ 2 (tan k)) (sin k))
52.0ms
(/ t (* (/ l t) (/ l t)))