Details

Time bar (total: 3.0s)

sample1.2s

Algorithm
intervals
Results
439.0ms137×body1280valid
311.0ms75×body2560valid
173.0ms23×body5120valid
162.0ms70×body640valid
44.0ms38×body320valid
25.0ms70×body80valid
5.0msbody160valid

simplify669.0ms

Calls
1 calls:
Slowest
668.0ms
(/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)))

prune34.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 32.1b

localize64.0ms

Local error

Found 4 expressions with local error:

30.3b
(/ (/ (/ (/ 2 (sin k)) (/ t (* (/ l t) (/ l t)))) (tan k)) (* (/ k t) (/ k t)))
2.5b
(/ (/ (/ 2 (sin k)) (/ t (* (/ l t) (/ l t)))) (tan k))
1.0b
(/ t (* (/ l t) (/ l t)))
0.8b
(/ (/ 2 (sin k)) (/ t (* (/ l t) (/ l t))))

rewrite212.0ms

Algorithm
rewrite-expression-head
Rules
4489×times-frac
1489×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
685×add-cbrt-cube add-exp-log
561×associate-/l*
465×cbrt-undiv div-exp
452×associate-/r/
271×div-inv
146×frac-times associate-*l/ associate-*r/
116×prod-exp cbrt-unprod
15×associate-/r*
expm1-log1p-u pow1 clear-num frac-2neg insert-posit16 log1p-expm1-u add-log-exp
tan-quot associate-/l/
Calls
4 calls:
Slowest
64.0ms
(/ (/ (/ (/ 2 (sin k)) (/ t (* (/ l t) (/ l t)))) (tan k)) (* (/ k t) (/ k t)))
34.0ms
(/ (/ (/ 2 (sin k)) (/ t (* (/ l t) (/ l t)))) (tan k))
33.0ms
(/ (/ 2 (sin k)) (/ t (* (/ l t) (/ l t))))
11.0ms
(/ t (* (/ l t) (/ l t)))

series813.0ms

Calls
4 calls:
Slowest
299.0ms
(/ (/ (/ (/ 2 (sin k)) (/ t (* (/ l t) (/ l t)))) (tan k)) (* (/ k t) (/ k t)))
248.0ms
(/ (/ (/ 2 (sin k)) (/ t (* (/ l t) (/ l t)))) (tan k))
200.0ms
(/ (/ 2 (sin k)) (/ t (* (/ l t) (/ l t))))
66.0ms
(/ t (* (/ l t) (/ l t)))