Details

Time bar (total: 3.7s)

sample468.0ms

Algorithm
intervals
Results
221.0ms81×body1280valid
97.0ms173×body80valid
90.0ms56×body640valid
29.0ms26×body320valid
9.0ms12×body160valid

simplify287.0ms

Calls
1 calls:
Slowest
286.0ms
(/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (+ (+ 1 (pow (/ k t) 2)) 1)))

prune35.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 20.6b

localize52.0ms

Local error

Found 4 expressions with local error:

14.0b
(/ (/ 2 (+ (* (/ 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))

rewrite1.1s

Algorithm
rewrite-expression-head
Rules
17577×times-frac
10596×*-un-lft-identity
10127×add-sqr-sqrt
7121×add-cube-cbrt
6810×associate-*r*
3109×associate-/r/
2221×associate-*l*
2133×frac-times
2031×associate-/r*
1724×distribute-lft-out
1566×associate-/l*
1209×unswap-sqr
1106×swap-sqr
624×div-inv
534×clear-num
507×frac-2neg
443×associate-*r/
287×flip3-+ flip-+
243×add-cbrt-cube add-exp-log
227×associate-*l/
170×*-commutative
110×tan-quot
106×cbrt-undiv div-exp
86×prod-exp cbrt-unprod
54×un-div-inv
16×pow1
11×associate-/l/
pow-prod-down insert-posit16 add-log-exp
pow2 pow-plus pow-sqr pow-prod-up
Calls
4 calls:
Slowest
396.0ms
(/ (/ 2 (+ (* (/ k t) (/ k t)) 2)) (* (* (sin k) (tan k)) (/ t (* (/ l t) (/ l t)))))
142.0ms
(* (* (sin k) (tan k)) (/ t (* (/ l t) (/ l t))))
22.0ms
(/ t (* (/ l t) (/ l t)))
16.0ms
(* (/ l t) (/ l t))

series1.7s

Calls
4 calls:
Slowest
857.0ms
(/ (/ 2 (+ (* (/ k t) (/ k t)) 2)) (* (* (sin k) (tan k)) (/ t (* (/ l t) (/ l t)))))
503.0ms
(* (/ l t) (/ l t))
276.0ms
(* (* (sin k) (tan k)) (/ t (* (/ l t) (/ l t))))
42.0ms
(/ t (* (/ l t) (/ l t)))