Details

Time bar (total: 1.6m)

sample1.2s

Algorithm
intervals
Results
364.0ms134×body1280valid
328.0ms74×body2560valid
317.0ms32×body5120valid
106.0ms72×body640valid
34.0ms29×body320valid
23.0ms60×body80valid
11.0ms15×body160valid

simplify268.0ms

Calls
1 calls:
Slowest
267.0ms
(/ 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: 28.6b

localize74.0ms

Local error

Found 4 expressions with local error:

28.3b
(/ (/ (/ (/ 2 (sin k)) (/ t (* (/ l t) (/ l t)))) (tan k)) (* (/ k t) (/ k t)))
1.3b
(/ (/ 2 (sin k)) (/ t (* (/ l t) (/ l t))))
0.8b
(/ (/ (/ 2 (sin k)) (/ t (* (/ l t) (/ l t)))) (tan k))
0.3b
(/ t (* (/ l t) (/ l t)))

rewrite1.5m

Algorithm
rewrite-expression-head
Rules
2735083×times-frac
1266217×add-sqr-sqrt
1075923×*-un-lft-identity
1073929×add-cube-cbrt
209706×associate-/r/
208312×swap-sqr associate-*r* associate-*l*
161514×frac-times
138624×associate-/l*
127842×associate-/r*
104393×div-inv
64096×unswap-sqr
42037×clear-num
40043×frac-2neg
17946×associate-*l/ associate-*r/
16024×*-commutative
4150×associate-/l/
3988×un-div-inv
685×add-cbrt-cube add-exp-log
465×cbrt-undiv div-exp
116×prod-exp cbrt-unprod
50×tan-quot
expm1-log1p-u pow1 insert-posit16 log1p-expm1-u add-log-exp
Calls
4 calls:
Slowest
3.8s
(/ (/ (/ (/ 2 (sin k)) (/ t (* (/ l t) (/ l t)))) (tan k)) (* (/ k t) (/ k t)))
1.3s
(/ (/ (/ 2 (sin k)) (/ t (* (/ l t) (/ l t)))) (tan k))
101.0ms
(/ (/ 2 (sin k)) (/ t (* (/ l t) (/ l t))))
60.0ms
(/ t (* (/ l t) (/ l t)))

series999.0ms

Calls
4 calls:
Slowest
403.0ms
(/ (/ (/ (/ 2 (sin k)) (/ t (* (/ l t) (/ l t)))) (tan k)) (* (/ k t) (/ k t)))
337.0ms
(/ (/ (/ 2 (sin k)) (/ t (* (/ l t) (/ l t)))) (tan k))
198.0ms
(/ (/ 2 (sin k)) (/ t (* (/ l t) (/ l t))))
40.0ms
(/ t (* (/ l t) (/ l t)))