Details

Time bar (total: 2.7s)

sample1.3s

Algorithm
intervals
Results
380.0ms133×body1280valid
335.0ms68×body2560valid
298.0ms35×body5120valid
118.0ms69×body640valid
97.0ms41×body320valid
30.0ms75×body80valid
13.0ms15×body160valid

simplify253.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
253.0ms
(/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)))

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 32.4b

localize46.0ms

Local error

Found 4 expressions with local error:

31.4b
(/ (/ (/ (/ 2 (tan k)) (sin k)) (/ t (* (/ l t) (/ l t)))) (* (/ k t) (/ k t)))
3.7b
(/ (/ (/ 2 (tan k)) (sin k)) (/ t (* (/ l t) (/ l t))))
0.5b
(/ t (* (/ l t) (/ l t)))
0.3b
(/ (/ 2 (tan k)) (sin k))

rewrite250.0ms

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
78.0ms
(/ (/ (/ (/ 2 (tan k)) (sin k)) (/ t (* (/ l t) (/ l t)))) (* (/ k t) (/ k t)))
30.0ms
(/ (/ (/ 2 (tan k)) (sin k)) (/ t (* (/ l t) (/ l t))))
17.0ms
(/ (/ 2 (tan k)) (sin k))
10.0ms
(/ t (* (/ l t) (/ l t)))

series807.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
373.0ms
(/ (/ (/ (/ 2 (tan k)) (sin k)) (/ t (* (/ l t) (/ l t)))) (* (/ k t) (/ k t)))
320.0ms
(/ (/ (/ 2 (tan k)) (sin k)) (/ t (* (/ l t) (/ l t))))
71.0ms
(/ (/ 2 (tan k)) (sin k))
43.0ms
(/ t (* (/ l t) (/ l t)))