Details

Time bar (total: 2.8s)

sample1.2s

Algorithm
intervals
Results
346.0ms133×body1280valid
319.0ms35×body5120valid
306.0ms68×body2560valid
115.0ms69×body640valid
80.0ms41×body320valid
31.0ms75×body80valid
12.0ms15×body160valid

simplify294.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
294.0ms
(/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)))

prune32.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 32.2b

localize40.0ms

Local error

Found 4 expressions with local error:

31.4b
(/ (/ (/ (/ 2 (sin k)) (/ t (* (/ l t) (/ l t)))) (tan k)) (* (/ k t) (/ k t)))
1.0b
(/ (/ (/ 2 (sin k)) (/ t (* (/ l t) (/ l t)))) (tan k))
0.8b
(/ (/ 2 (sin k)) (/ t (* (/ l t) (/ l t))))
0.5b
(/ t (* (/ l t) (/ l t)))

rewrite202.0ms

Algorithm
rewrite-expression-head
Rules
4489×times-frac
1489×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
685×add-cbrt-cube add-exp-log
561×associate-/l*
465×cbrt-undiv div-exp
452×associate-/r/
271×div-inv
146×frac-times associate-*l/ associate-*r/
116×prod-exp cbrt-unprod
15×associate-/r*
expm1-log1p-u pow1 clear-num frac-2neg insert-posit16 log1p-expm1-u add-log-exp
tan-quot associate-/l/
Counts
4 → 1787
Calls
4 calls:
Slowest
47.0ms
(/ (/ (/ (/ 2 (sin k)) (/ t (* (/ l t) (/ l t)))) (tan k)) (* (/ k t) (/ k t)))
25.0ms
(/ (/ (/ 2 (sin k)) (/ t (* (/ l t) (/ l t)))) (tan k))
22.0ms
(/ (/ 2 (sin k)) (/ t (* (/ l t) (/ l t))))
10.0ms
(/ t (* (/ l t) (/ l t)))

series971.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
362.0ms
(/ (/ (/ 2 (sin k)) (/ t (* (/ l t) (/ l t)))) (tan k))
359.0ms
(/ (/ (/ (/ 2 (sin k)) (/ t (* (/ l t) (/ l t)))) (tan k)) (* (/ k t) (/ k t)))
207.0ms
(/ (/ 2 (sin k)) (/ t (* (/ l t) (/ l t))))
43.0ms
(/ t (* (/ l t) (/ l t)))