Details

Time bar (total: 3.6s)

sample128.0ms

Algorithm
intervals
Results
46.0ms54×body1280valid
29.0ms55×body640valid
24.0ms218×body80valid
6.0ms17×body320valid
5.0ms18×body160valid

simplify1.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01925
14725
215325
376425
4390425
done500025

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.8b

localize25.0ms

Local error

Found 4 expressions with local error:

3.0b
(* (/ (pow t 3.0) (* l l)) (sin k))
3.4b
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
12.4b
(* (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
13.9b
(/ (pow t 3.0) (* l l))

rewrite341.0ms

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/
flip3-+ flip-+ 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 → 144
Calls
4 calls:
14.0ms
(* (/ (pow t 3.0) (* l l)) (sin k))
33.0ms
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
280.0ms
(* (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
5.0ms
(/ (pow t 3.0) (* l l))

series1.4s

Counts
4 → 12
Calls
4 calls:
259.0ms
(* (/ (pow t 3.0) (* l l)) (sin k))
324.0ms
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
654.0ms
(* (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
188.0ms
(/ (pow t 3.0) (* l l))

simplify271.0ms

Iterations

Useful iterations: 1 (61.0ms)

IterNodesCost
02553209
18053070