Details

Time bar (total: 4.9s)

sample745.0ms

Algorithm
intervals
Results
247.0ms76×body2560valid
205.0ms129×body1280valid
147.0ms23×body5120valid
76.0ms81×body640valid
24.0ms34×body320valid
14.0ms66×body80valid
5.0ms13×body160valid

simplify3.6s

Counts
1 → 1
Iterations

Useful iterations: 4 (2.0s)

IterNodesCost
01925
14425
214625
379823
4446721
done500021

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 42.9b

localize47.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (/ (pow t 3.0) (* l l)) (sin k))
1.1b
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
18.0b
(/ (pow t 3.0) (* l l))
30.0b
(/ (/ 2.0 (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))) (pow (/ k t) 2.0))

rewrite482.0ms

Algorithm
rewrite-expression-head
Rules
340×times-frac
272×add-exp-log
153×unpow-prod-down
144×add-sqr-sqrt
137×add-cube-cbrt *-un-lft-identity
128×div-exp
103×prod-exp
59×add-cbrt-cube
58×associate-*l/
54×associate-/r/
38×tan-quot
34×pow-exp
32×div-inv
24×pow-to-exp
21×cbrt-unprod
19×cbrt-undiv frac-times associate-*r/
18×associate-/r*
17×associate-/l*
15×sqr-pow
12×associate-*l*
11×pow1
associate-*r*
pow-prod-down add-log-exp unswap-sqr
frac-2neg clear-num *-commutative
associate-/l/
Counts
4 → 354
Calls
4 calls:
64.0ms
(* (/ (pow t 3.0) (* l l)) (sin k))
107.0ms
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
23.0ms
(/ (pow t 3.0) (* l l))
238.0ms
(/ (/ 2.0 (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))) (pow (/ k t) 2.0))

series1.0ms