Details

Time bar (total: 3.3s)

sample1.3s

Algorithm
intervals
Results
384.0ms82×body2560valid
338.0ms125×body1280valid
271.0ms37×body5120valid
152.0ms79×body640valid
58.0ms63×body80valid
41.0ms34×body320valid
9.0ms12×body160valid

simplify304.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
304.0ms
(/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)))

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 33.2b

localize34.0ms

Local error

Found 4 expressions with local error:

32.6b
(/ (/ (/ (/ 2 (sin k)) (/ t (* (/ l t) (/ l t)))) (tan k)) (* (/ k t) (/ k t)))
0.9b
(/ t (* (/ l t) (/ l t)))
0.8b
(/ (/ (/ 2 (sin k)) (/ t (* (/ l t) (/ l t)))) (tan k))
0.6b
(/ (/ 2 (sin k)) (/ 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/
Counts
4 → 1787
Calls
4 calls:
Slowest
75.0ms
(/ (/ (/ (/ 2 (sin k)) (/ t (* (/ l t) (/ l t)))) (tan k)) (* (/ k t) (/ k t)))
48.0ms
(/ (/ (/ 2 (sin k)) (/ t (* (/ l t) (/ l t)))) (tan k))
23.0ms
(/ (/ 2 (sin k)) (/ t (* (/ l t) (/ l t))))
20.0ms
(/ t (* (/ l t) (/ l t)))

series1.4s

Counts
4 → 12
Calls
4 calls:
Slowest
757.0ms
(/ (/ (/ 2 (sin k)) (/ t (* (/ l t) (/ l t)))) (tan k))
336.0ms
(/ (/ (/ (/ 2 (sin k)) (/ t (* (/ l t) (/ l t)))) (tan k)) (* (/ k t) (/ k t)))
212.0ms
(/ (/ 2 (sin k)) (/ t (* (/ l t) (/ l t))))
65.0ms
(/ t (* (/ l t) (/ l t)))