Details

Time bar (total: 2.6s)

sample1.2s

Algorithm
intervals
Results
378.0ms74×body2560valid
328.0ms129×body1280valid
187.0ms26×body5120valid
185.0ms91×body640valid
36.0ms28×body320valid
23.0ms66×body80valid
8.0ms10×body160valid

simplify228.0ms

Calls
1 calls:
Slowest
227.0ms
(/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)))

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 32.0b

localize41.0ms

Local error

Found 4 expressions with local error:

31.3b
(/ (/ (/ (/ 2 (sin k)) (/ t (* (/ l t) (/ l t)))) (tan k)) (* (/ k t) (/ k t)))
1.0b
(/ (/ 2 (sin k)) (/ t (* (/ l t) (/ l t))))
0.7b
(/ (/ (/ 2 (sin k)) (/ t (* (/ l t) (/ l t)))) (tan k))
0.5b
(/ t (* (/ l t) (/ l t)))

rewrite270.0ms

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
73.0ms
(/ (/ (/ (/ 2 (sin k)) (/ t (* (/ l t) (/ l t)))) (tan k)) (* (/ k t) (/ k t)))
51.0ms
(/ (/ (/ 2 (sin k)) (/ t (* (/ l t) (/ l t)))) (tan k))
36.0ms
(/ (/ 2 (sin k)) (/ t (* (/ l t) (/ l t))))
11.0ms
(/ t (* (/ l t) (/ l t)))

series913.0ms

Calls
4 calls:
Slowest
336.0ms
(/ (/ (/ (/ 2 (sin k)) (/ t (* (/ l t) (/ l t)))) (tan k)) (* (/ k t) (/ k t)))
330.0ms
(/ (/ (/ 2 (sin k)) (/ t (* (/ l t) (/ l t)))) (tan k))
186.0ms
(/ (/ 2 (sin k)) (/ t (* (/ l t) (/ l t))))
61.0ms
(/ t (* (/ l t) (/ l t)))