Details

Time bar (total: 2.5s)

sample1.2s

Algorithm
intervals
Results
366.0ms123×body1280valid
288.0ms37×body5120valid
275.0ms79×body2560valid
140.0ms95×body640valid
56.0ms39×body320valid
16.0ms51×body80valid
8.0ms10×body160valid

simplify250.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
249.0ms
(/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)))

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 34.4b

localize36.0ms

Local error

Found 4 expressions with local error:

32.2b
(/ (/ (/ (/ 2 (tan k)) (sin k)) (/ t (* (/ l t) (/ l t)))) (* (/ k t) (/ k t)))
4.4b
(/ (/ (/ 2 (tan k)) (sin k)) (/ t (* (/ l t) (/ l t))))
0.8b
(/ t (* (/ l t) (/ l t)))
0.3b
(/ (/ 2 (tan k)) (sin k))

rewrite210.0ms

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
66.0ms
(/ (/ (/ (/ 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))))
23.0ms
(/ (/ 2 (tan k)) (sin k))
10.0ms
(/ t (* (/ l t) (/ l t)))

series818.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
344.0ms
(/ (/ (/ (/ 2 (tan k)) (sin k)) (/ t (* (/ l t) (/ l t)))) (* (/ k t) (/ k t)))
329.0ms
(/ (/ (/ 2 (tan k)) (sin k)) (/ t (* (/ l t) (/ l t))))
78.0ms
(/ (/ 2 (tan k)) (sin k))
66.0ms
(/ t (* (/ l t) (/ l t)))