Details

Time bar (total: 3.0s)

sample541.0ms

Algorithm
intervals
Results
285.0ms81×body1280valid
111.0ms56×body640valid
78.0ms173×body80valid
36.0ms26×body320valid
11.0ms12×body160valid

simplify318.0ms

Calls
1 calls:
Slowest
318.0ms
(/ 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: 20.6b

localize49.0ms

Local error

Found 4 expressions with local error:

14.0b
(/ (/ 2 (fma (/ k t) (/ k t) 2)) (* (* (sin k) (tan k)) (/ t (* (/ l t) (/ l t)))))
8.1b
(* (* (sin k) (tan k)) (/ t (* (/ l t) (/ l t))))
2.5b
(/ t (* (/ l t) (/ l t)))
0.2b
(* (/ l t) (/ l t))

rewrite841.0ms

Algorithm
rewrite-expression-head
Rules
11215×times-frac
7105×add-sqr-sqrt
5126×*-un-lft-identity
5107×add-cube-cbrt
4482×associate-*r*
1727×associate-/r/
1549×associate-/r*
1485×frac-times
1070×associate-/l*
927×associate-*l*
801×unswap-sqr
762×swap-sqr
520×div-inv
371×associate-*r/
366×clear-num
347×frac-2neg
243×add-cbrt-cube add-exp-log
155×associate-*l/
114×*-commutative
110×tan-quot
106×cbrt-undiv div-exp
86×prod-exp cbrt-unprod
38×un-div-inv
16×pow1
associate-/l/
expm1-log1p-u pow-prod-down insert-posit16 log1p-expm1-u add-log-exp
pow2 pow-plus pow-sqr pow-prod-up
Calls
4 calls:
Slowest
249.0ms
(/ (/ 2 (fma (/ k t) (/ k t) 2)) (* (* (sin k) (tan k)) (/ t (* (/ l t) (/ l t)))))
201.0ms
(* (* (sin k) (tan k)) (/ t (* (/ l t) (/ l t))))
23.0ms
(/ t (* (/ l t) (/ l t)))
20.0ms
(* (/ l t) (/ l t))

series1.2s

Calls
4 calls:
Slowest
898.0ms
(/ (/ 2 (fma (/ k t) (/ k t) 2)) (* (* (sin k) (tan k)) (/ t (* (/ l t) (/ l t)))))
245.0ms
(* (* (sin k) (tan k)) (/ t (* (/ l t) (/ l t))))
46.0ms
(* (/ l t) (/ l t))
44.0ms
(/ t (* (/ l t) (/ l t)))