Details

Time bar (total: 2.6s)

sample1.3s

Algorithm
intervals
Results
429.0ms139×body1280valid
344.0ms86×body2560valid
255.0ms30×body5120valid
121.0ms76×body640valid
53.0ms63×body80valid
33.0ms28×body320valid
9.0ms11×body160valid

simplify260.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
260.0ms
(/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)))

prune33.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 31.2b

localize63.0ms

Local error

Found 4 expressions with local error:

28.7b
(/ (/ (/ (/ 2 (tan k)) (sin k)) (/ t (* (/ l t) (/ l t)))) (* (/ k t) (/ k t)))
4.3b
(/ (/ (/ 2 (tan k)) (sin k)) (/ t (* (/ l t) (/ l t))))
1.5b
(/ t (* (/ l t) (/ l t)))
0.3b
(/ (/ 2 (tan k)) (sin k))

rewrite248.0ms

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
69.0ms
(/ (/ (/ (/ 2 (tan k)) (sin k)) (/ t (* (/ l t) (/ l t)))) (* (/ k t) (/ k t)))
31.0ms
(/ (/ (/ 2 (tan k)) (sin k)) (/ t (* (/ l t) (/ l t))))
18.0ms
(/ (/ 2 (tan k)) (sin k))
11.0ms
(/ t (* (/ l t) (/ l t)))

series761.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
320.0ms
(/ (/ (/ (/ 2 (tan k)) (sin k)) (/ t (* (/ l t) (/ l t)))) (* (/ k t) (/ k t)))
309.0ms
(/ (/ (/ 2 (tan k)) (sin k)) (/ t (* (/ l t) (/ l t))))
70.0ms
(/ (/ 2 (tan k)) (sin k))
63.0ms
(/ t (* (/ l t) (/ l t)))