Details

Time bar (total: 1.7m)

sample1.5s

Algorithm
intervals
Results
766.0ms68×body2560valid
404.0ms143×body1280valid
137.0ms78×body640valid
133.0ms20×body5120valid
30.0ms24×body320valid
17.0ms50×body80valid
13.0ms15×body160valid

simplify282.0ms

Calls
1 calls:
Slowest
281.0ms
(/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)))

prune28.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 29.7b

localize32.0ms

Local error

Found 4 expressions with local error:

29.2b
(/ (/ (/ (/ 2 (tan k)) (sin k)) (/ t (* (/ l t) (/ l t)))) (* (/ k t) (/ k t)))
3.0b
(/ (/ (/ 2 (tan k)) (sin k)) (/ t (* (/ l t) (/ l t))))
1.8b
(/ t (* (/ l t) (/ l t)))
0.3b
(/ (/ 2 (tan k)) (sin k))

rewrite1.6m

Algorithm
rewrite-expression-head
Rules
3055112×times-frac
1410840×add-sqr-sqrt
1191468×*-un-lft-identity
1189164×add-cube-cbrt
272766×associate-/r/
240149×swap-sqr associate-*r* associate-*l*
186624×frac-times
152352×associate-/l*
141252×associate-/r*
126061×div-inv
73892×unswap-sqr
48444×clear-num
46140×frac-2neg
37362×tan-quot
20736×associate-*l/ associate-*r/
18473×*-commutative
4608×un-div-inv
837×add-cbrt-cube add-exp-log
561×cbrt-undiv div-exp
412×associate-/l/
152×prod-exp cbrt-unprod
pow1 insert-posit16 add-log-exp
Calls
4 calls:
Slowest
4.6s
(/ (/ (/ (/ 2 (tan k)) (sin k)) (/ t (* (/ l t) (/ l t)))) (* (/ k t) (/ k t)))
140.0ms
(/ (/ (/ 2 (tan k)) (sin k)) (/ t (* (/ l t) (/ l t))))
66.0ms
(/ t (* (/ l t) (/ l t)))
19.0ms
(/ (/ 2 (tan k)) (sin k))

series805.0ms

Calls
4 calls:
Slowest
345.0ms
(/ (/ (/ 2 (tan k)) (sin k)) (/ t (* (/ l t) (/ l t))))
308.0ms
(/ (/ (/ (/ 2 (tan k)) (sin k)) (/ t (* (/ l t) (/ l t)))) (* (/ k t) (/ k t)))
81.0ms
(/ (/ 2 (tan k)) (sin k))
47.0ms
(/ t (* (/ l t) (/ l t)))