Details

Time bar (total: 2.4s)

sample1.1s

Algorithm
intervals
Results
387.0ms93×body2560valid
320.0ms116×body1280valid
183.0ms24×body5120valid
135.0ms80×body640valid
52.0ms20×body320valid
20.0ms55×body80valid
10.0ms13×body160valid

simplify232.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
231.0ms
(/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)))

prune35.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 31.9b

localize37.0ms

Local error

Found 4 expressions with local error:

30.3b
(/ (/ (/ (/ 2 (tan k)) (sin k)) (/ t (* (/ l t) (/ l t)))) (* (/ k t) (/ k t)))
5.3b
(/ (/ (/ 2 (tan k)) (sin k)) (/ t (* (/ l t) (/ l t))))
1.5b
(/ t (* (/ l t) (/ l t)))
0.3b
(/ (/ 2 (tan k)) (sin k))

rewrite245.0ms

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/
Counts
4 → 1807
Calls
4 calls:
Slowest
64.0ms
(/ (/ (/ (/ 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))))
16.0ms
(/ (/ 2 (tan k)) (sin k))
11.0ms
(/ t (* (/ l t) (/ l t)))

series753.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
314.0ms
(/ (/ (/ 2 (tan k)) (sin k)) (/ t (* (/ l t) (/ l t))))
296.0ms
(/ (/ (/ (/ 2 (tan k)) (sin k)) (/ t (* (/ l t) (/ l t)))) (* (/ k t) (/ k t)))
78.0ms
(/ (/ 2 (tan k)) (sin k))
64.0ms
(/ t (* (/ l t) (/ l t)))