Details

Time bar (total: 2.7s)

sample1.2s

Algorithm
intervals
Results
387.0ms141×body1280valid
257.0ms54×body2560valid
231.0ms23×body5120valid
156.0ms77×body640valid
65.0ms24×body320valid
27.0ms68×body80valid
10.0ms12×body160valid

simplify277.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
276.0ms
(/ 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: 28.9b

localize45.0ms

Local error

Found 4 expressions with local error:

27.3b
(/ (/ (/ (/ 2 (sin k)) (/ t (* (/ l t) (/ l t)))) (tan k)) (* (/ k t) (/ k t)))
1.5b
(/ t (* (/ l t) (/ l t)))
1.2b
(/ (/ 2 (sin k)) (/ t (* (/ l t) (/ l t))))
0.8b
(/ (/ (/ 2 (sin k)) (/ t (* (/ l t) (/ l t)))) (tan k))

rewrite302.0ms

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/
Counts
4 → 1787
Calls
4 calls:
Slowest
89.0ms
(/ (/ (/ (/ 2 (sin k)) (/ t (* (/ l t) (/ l t)))) (tan k)) (* (/ k t) (/ k t)))
45.0ms
(/ (/ (/ 2 (sin k)) (/ t (* (/ l t) (/ l t)))) (tan k))
35.0ms
(/ (/ 2 (sin k)) (/ t (* (/ l t) (/ l t))))
20.0ms
(/ t (* (/ l t) (/ l t)))

series838.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
297.0ms
(/ (/ (/ 2 (sin k)) (/ t (* (/ l t) (/ l t)))) (tan k))
297.0ms
(/ (/ (/ (/ 2 (sin k)) (/ t (* (/ l t) (/ l t)))) (tan k)) (* (/ k t) (/ k t)))
188.0ms
(/ (/ 2 (sin k)) (/ t (* (/ l t) (/ l t))))
56.0ms
(/ t (* (/ l t) (/ l t)))