Details

Time bar (total: 3.1s)

sample1.3s

Algorithm
intervals
Results
450.0ms139×body1280valid
403.0ms86×body2560valid
243.0ms30×body5120valid
124.0ms76×body640valid
34.0ms28×body320valid
26.0ms63×body80valid
10.0ms11×body160valid

simplify569.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
569.0ms
(/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)))

prune29.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 31.2b

localize53.0ms

Local error

Found 4 expressions with local error:

28.7b
(/ (/ (/ (/ 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))

rewrite221.0ms

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
58.0ms
(/ (/ (/ (/ 2 (sin k)) (/ t (* (/ l t) (/ l t)))) (tan k)) (* (/ k t) (/ k t)))
44.0ms
(/ (/ (/ 2 (sin k)) (/ t (* (/ l t) (/ l t)))) (tan k))
18.0ms
(/ (/ 2 (sin k)) (/ t (* (/ l t) (/ l t))))
10.0ms
(/ t (* (/ l t) (/ l t)))

series910.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
355.0ms
(/ (/ (/ (/ 2 (sin k)) (/ t (* (/ l t) (/ l t)))) (tan k)) (* (/ k t) (/ k t)))
349.0ms
(/ (/ (/ 2 (sin k)) (/ t (* (/ l t) (/ l t)))) (tan k))
162.0ms
(/ (/ 2 (sin k)) (/ t (* (/ l t) (/ l t))))
43.0ms
(/ t (* (/ l t) (/ l t)))