Details

Time bar (total: 2.4s)

sample1.1s

Algorithm
intervals
Results
314.0ms137×body1280valid
276.0ms75×body2560valid
192.0ms23×body5120valid
133.0ms70×body640valid
81.0ms38×body320valid
24.0ms70×body80valid
6.0msbody160valid

simplify238.0ms

Calls
1 calls:
Slowest
237.0ms
(/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)))

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 32.5b

localize61.0ms

Local error

Found 4 expressions with local error:

30.3b
(/ (/ (/ (/ 2 (tan k)) (sin k)) (/ t (* (/ l t) (/ l t)))) (* (/ k t) (/ k t)))
5.2b
(/ (/ (/ 2 (tan k)) (sin k)) (/ t (* (/ l t) (/ l t))))
1.0b
(/ t (* (/ l t) (/ l t)))
0.3b
(/ (/ 2 (tan k)) (sin k))

rewrite227.0ms

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
44.0ms
(/ (/ (/ (/ 2 (tan k)) (sin k)) (/ t (* (/ l t) (/ l t)))) (* (/ k t) (/ k t)))
40.0ms
(/ (/ (/ 2 (tan k)) (sin k)) (/ t (* (/ l t) (/ l t))))
26.0ms
(/ t (* (/ l t) (/ l t)))
21.0ms
(/ (/ 2 (tan k)) (sin k))

series799.0ms

Calls
4 calls:
Slowest
383.0ms
(/ (/ (/ (/ 2 (tan k)) (sin k)) (/ t (* (/ l t) (/ l t)))) (* (/ k t) (/ k t)))
300.0ms
(/ (/ (/ 2 (tan k)) (sin k)) (/ t (* (/ l t) (/ l t))))
73.0ms
(/ (/ 2 (tan k)) (sin k))
42.0ms
(/ t (* (/ l t) (/ l t)))