Details

Time bar (total: 5.2s)

sample343.0ms

Algorithm
intervals
Results
130.0ms59×body640valid
119.0ms69×body1280valid
42.0ms188×body80valid
12.0ms18×body320valid
6.0ms14×body160valid

simplify3.9s

Counts
1 → 1
Iterations

Useful iterations: 4 (2.2s)

IterNodesCost
01925
14825
216025
388225
4495024
done500024

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 35.2b

localize53.0ms

Local error

Found 4 expressions with local error:

2.7b
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
3.2b
(* (/ (pow t 3.0) (* l l)) (sin k))
13.6b
(* (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
19.4b
(/ (pow t 3.0) (* l l))

rewrite922.0ms

Algorithm
rewrite-expression-head
Rules
108×add-exp-log
58×prod-exp
52×add-cbrt-cube
26×cbrt-unprod
24×div-exp
21×add-sqr-sqrt
20×pow1
19×*-un-lft-identity
17×times-frac
16×associate-*l/
14×add-cube-cbrt
13×associate-*l*
11×associate-*r*
10×frac-times unpow-prod-down pow-prod-down
tan-quot cbrt-undiv pow-to-exp pow-exp
associate-/l*
associate-*r/
expm1-log1p-u flip3-+ flip-+ log1p-expm1-u add-log-exp unswap-sqr sqr-pow
*-commutative distribute-lft-out
div-inv
distribute-rgt-in frac-2neg distribute-lft-in clear-num associate-/r*
Counts
4 → 152
Calls
4 calls:
108.0ms
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
55.0ms
(* (/ (pow t 3.0) (* l l)) (sin k))
723.0ms
(* (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
25.0ms
(/ (pow t 3.0) (* l l))

series1.0ms