Details

Time bar (total: 3.0s)

sample439.0ms

Algorithm
intervals
Results
204.0ms67×body1280valid
93.0ms196×body80valid
87.0ms48×body640valid
26.0ms21×body320valid
9.0ms11×body160valid

simplify322.0ms

Calls
1 calls:
Slowest
322.0ms
(/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (+ (+ 1 (pow (/ k t) 2)) 1)))

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 19.4b

localize49.0ms

Local error

Found 4 expressions with local error:

13.3b
(/ (/ 2 (fma (/ k t) (/ k t) 2)) (* (* (sin k) (tan k)) (/ t (* (/ l t) (/ l t)))))
10.1b
(* (* (sin k) (tan k)) (/ t (* (/ l t) (/ l t))))
0.6b
(/ t (* (/ l t) (/ l t)))
0.3b
(/ 2 (fma (/ k t) (/ k t) 2))

rewrite824.0ms

Algorithm
rewrite-expression-head
Rules
11184×times-frac
7033×add-sqr-sqrt
5065×*-un-lft-identity
5047×add-cube-cbrt
4469×associate-*r*
1727×associate-/r/
1492×associate-/r*
1404×frac-times
1012×associate-/l*
914×associate-*l*
797×unswap-sqr
749×swap-sqr
517×div-inv
362×associate-*r/
346×clear-num
328×frac-2neg
233×add-cbrt-cube add-exp-log
146×associate-*l/
113×*-commutative
110×tan-quot
103×cbrt-undiv div-exp
82×prod-exp cbrt-unprod
36×un-div-inv
pow1 associate-/l/
expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
pow-prod-down
Calls
4 calls:
Slowest
253.0ms
(/ (/ 2 (fma (/ k t) (/ k t) 2)) (* (* (sin k) (tan k)) (/ t (* (/ l t) (/ l t)))))
174.0ms
(* (* (sin k) (tan k)) (/ t (* (/ l t) (/ l t))))
49.0ms
(/ t (* (/ l t) (/ l t)))
5.0ms
(/ 2 (fma (/ k t) (/ k t) 2))

series1.3s

Calls
4 calls:
Slowest
919.0ms
(/ (/ 2 (fma (/ k t) (/ k t) 2)) (* (* (sin k) (tan k)) (/ t (* (/ l t) (/ l t)))))
284.0ms
(* (* (sin k) (tan k)) (/ t (* (/ l t) (/ l t))))
64.0ms
(/ 2 (fma (/ k t) (/ k t) 2))
39.0ms
(/ t (* (/ l t) (/ l t)))