Details

Time bar (total: 3.1s)

sample1.3s

Algorithm
intervals
Results
327.0ms141×body1280valid
319.0ms36×body5120valid
294.0ms65×body2560valid
184.0ms91×body640valid
87.0ms44×body320valid
22.0ms63×body80valid
8.0ms10×body160valid

simplify695.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
695.0ms
(/ 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: 29.5b

localize42.0ms

Local error

Found 4 expressions with local error:

27.0b
(/ (/ (/ (/ 2 (tan k)) (sin k)) (/ t (* (/ l t) (/ l t)))) (* (/ k t) (/ k t)))
3.4b
(/ (/ (/ 2 (tan k)) (sin k)) (/ t (* (/ l t) (/ l t))))
1.5b
(/ t (* (/ l t) (/ l t)))
0.3b
(/ (/ 2 (tan k)) (sin k))

rewrite265.0ms

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
83.0ms
(/ (/ (/ (/ 2 (tan k)) (sin k)) (/ t (* (/ l t) (/ l t)))) (* (/ k t) (/ k t)))
47.0ms
(/ (/ (/ 2 (tan k)) (sin k)) (/ t (* (/ l t) (/ l t))))
28.0ms
(/ t (* (/ l t) (/ l t)))
19.0ms
(/ (/ 2 (tan k)) (sin k))

series782.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
363.0ms
(/ (/ (/ (/ 2 (tan k)) (sin k)) (/ t (* (/ l t) (/ l t)))) (* (/ k t) (/ k t)))
309.0ms
(/ (/ (/ 2 (tan k)) (sin k)) (/ t (* (/ l t) (/ l t))))
72.0ms
(/ (/ 2 (tan k)) (sin k))
37.0ms
(/ t (* (/ l t) (/ l t)))