Details

Time bar (total: 3.1s)

sample1.5s

Algorithm
intervals
Results
505.0ms95×body640valid
356.0ms123×body1280valid
331.0ms79×body2560valid
251.0ms37×body5120valid
48.0ms39×body320valid
18.0ms51×body80valid
7.0ms10×body160valid

simplify287.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
287.0ms
(/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)))

prune31.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 34.4b

localize40.0ms

Local error

Found 4 expressions with local error:

32.2b
(/ (/ (/ (/ 2 (sin k)) (/ t (* (/ l t) (/ l t)))) (tan k)) (* (/ k t) (/ k t)))
1.8b
(/ (/ 2 (sin k)) (/ t (* (/ l t) (/ l t))))
1.3b
(/ (/ (/ 2 (sin k)) (/ t (* (/ l t) (/ l t)))) (tan k))
0.8b
(/ t (* (/ l t) (/ l t)))

rewrite269.0ms

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
88.0ms
(/ (/ (/ (/ 2 (sin k)) (/ t (* (/ l t) (/ l t)))) (tan k)) (* (/ k t) (/ k t)))
31.0ms
(/ (/ 2 (sin k)) (/ t (* (/ l t) (/ l t))))
26.0ms
(/ (/ (/ 2 (sin k)) (/ t (* (/ l t) (/ l t)))) (tan k))
22.0ms
(/ t (* (/ l t) (/ l t)))

series893.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
352.0ms
(/ (/ (/ (/ 2 (sin k)) (/ t (* (/ l t) (/ l t)))) (tan k)) (* (/ k t) (/ k t)))
325.0ms
(/ (/ (/ 2 (sin k)) (/ t (* (/ l t) (/ l t)))) (tan k))
170.0ms
(/ (/ 2 (sin k)) (/ t (* (/ l t) (/ l t))))
46.0ms
(/ t (* (/ l t) (/ l t)))