Details

Time bar (total: 3.0s)

sample1.3s

Algorithm
intervals
Results
357.0ms132×body1280valid
313.0ms64×body2560valid
297.0ms35×body5120valid
207.0ms79×body640valid
40.0ms32×body320valid
26.0ms59×body80valid
19.0ms21×body160valid

simplify600.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
600.0ms
(/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)))

prune28.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 33.2b

localize35.0ms

Local error

Found 4 expressions with local error:

32.4b
(/ (/ (/ (/ 2 (tan k)) (sin k)) (/ t (* (/ l t) (/ l t)))) (* (/ k t) (/ k t)))
2.9b
(/ (/ (/ 2 (tan k)) (sin k)) (/ t (* (/ l t) (/ l t))))
1.4b
(/ t (* (/ l t) (/ l t)))
0.3b
(/ (/ 2 (tan k)) (sin k))

rewrite243.0ms

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
68.0ms
(/ (/ (/ (/ 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))))
14.0ms
(/ t (* (/ l t) (/ l t)))
10.0ms
(/ (/ 2 (tan k)) (sin k))

series786.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
333.0ms
(/ (/ (/ 2 (tan k)) (sin k)) (/ t (* (/ l t) (/ l t))))
333.0ms
(/ (/ (/ (/ 2 (tan k)) (sin k)) (/ t (* (/ l t) (/ l t)))) (* (/ k t) (/ k t)))
84.0ms
(/ (/ 2 (tan k)) (sin k))
36.0ms
(/ t (* (/ l t) (/ l t)))