Details

Time bar (total: 2.6s)

sample1.2s

Algorithm
intervals
Results
380.0ms129×body1280valid
325.0ms74×body2560valid
199.0ms26×body5120valid
150.0ms91×body640valid
59.0ms28×body320valid
29.0ms66×body80valid
9.0ms10×body160valid

simplify249.0ms

Calls
1 calls:
Slowest
248.0ms
(/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)))

prune27.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 32.1b

localize53.0ms

Local error

Found 4 expressions with local error:

31.3b
(/ (/ (/ (/ 2 (tan k)) (sin k)) (/ t (* (/ l t) (/ l t)))) (* (/ k t) (/ k t)))
3.6b
(/ (/ (/ 2 (tan k)) (sin k)) (/ t (* (/ l t) (/ l t))))
0.5b
(/ t (* (/ l t) (/ l t)))
0.3b
(/ (/ 2 (tan k)) (sin k))

rewrite311.0ms

Algorithm
rewrite-expression-head
Rules
4482×times-frac
1445×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
837×add-cbrt-cube add-exp-log
561×cbrt-undiv div-exp
528×associate-/l*
523×associate-/r/
273×div-inv
152×prod-exp cbrt-unprod
141×frac-times associate-*l/ associate-*r/
97×tan-quot
15×associate-/r*
pow1 clear-num frac-2neg insert-posit16 add-log-exp
associate-/l/
Calls
4 calls:
Slowest
77.0ms
(/ (/ (/ (/ 2 (tan k)) (sin k)) (/ t (* (/ l t) (/ l t)))) (* (/ k t) (/ k t)))
48.0ms
(/ (/ (/ 2 (tan k)) (sin k)) (/ t (* (/ l t) (/ l t))))
21.0ms
(/ (/ 2 (tan k)) (sin k))
21.0ms
(/ t (* (/ l t) (/ l t)))

series784.0ms

Calls
4 calls:
Slowest
345.0ms
(/ (/ (/ 2 (tan k)) (sin k)) (/ t (* (/ l t) (/ l t))))
315.0ms
(/ (/ (/ (/ 2 (tan k)) (sin k)) (/ t (* (/ l t) (/ l t)))) (* (/ k t) (/ k t)))
75.0ms
(/ (/ 2 (tan k)) (sin k))
48.0ms
(/ t (* (/ l t) (/ l t)))