Details

Time bar (total: 10.0m)

sample1.1s

Algorithm
intervals
Results
317.0ms136×body1280valid
265.0ms40×body5120valid
249.0ms70×body2560valid
172.0ms91×body640valid
52.0ms73×body80valid
29.0ms28×body320valid
12.0ms18×body160valid

simplify2.0s

Counts
1 → 1

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 29.4b

localize60.0ms

Local error

Found 4 expressions with local error:

28.7b
(/ (/ (/ 2 (* (sin k) (tan k))) (/ (/ t (/ l t)) (/ l t))) (* (/ k t) (/ k t)))
4.7b
(/ (/ 2 (* (sin k) (tan k))) (/ (/ t (/ l t)) (/ l t)))
0.3b
(/ 2 (* (sin k) (tan k)))
0.3b
(* (sin k) (tan k))

rewrite2.2s

Algorithm
rewrite-expression-head
Rules
69318×times-frac
22576×add-sqr-sqrt
22574×*-un-lft-identity add-cube-cbrt
4632×associate-/l*
4162×div-inv
2089×associate-/r/
1735×associate-*r/
1734×tan-quot
950×add-cbrt-cube add-exp-log
680×cbrt-undiv div-exp
579×associate-/r*
132×prod-exp cbrt-unprod
pow1
insert-posit16 add-log-exp
clear-num frac-2neg associate-*r* associate-*l*
associate-/l/
frac-times pow-prod-down associate-*l/ *-commutative unswap-sqr
Counts
4 → 14777
Calls
4 calls:
Slowest
180.0ms
(/ (/ (/ 2 (* (sin k) (tan k))) (/ (/ t (/ l t)) (/ l t))) (* (/ k t) (/ k t)))
99.0ms
(/ (/ 2 (* (sin k) (tan k))) (/ (/ t (/ l t)) (/ l t)))
24.0ms
(* (sin k) (tan k))
19.0ms
(/ 2 (* (sin k) (tan k)))

series917.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
387.0ms
(/ (/ (/ 2 (* (sin k) (tan k))) (/ (/ t (/ l t)) (/ l t))) (* (/ k t) (/ k t)))
352.0ms
(/ (/ 2 (* (sin k) (tan k))) (/ (/ t (/ l t)) (/ l t)))
106.0ms
(/ 2 (* (sin k) (tan k)))
73.0ms
(* (sin k) (tan k))

simplify1.4m

Counts
14789 → 14789

prune3.8m

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 7.9b

localize68.0ms

Local error

Found 4 expressions with local error:

22.1b
(/ (/ (/ (sqrt 2) (sin k)) (/ (/ t l) (/ 1 (* (cbrt t) (cbrt t))))) (/ k t))
18.5b
(/ (/ (/ (sqrt 2) (tan k)) (/ t (/ l (cbrt t)))) (/ k t))
2.2b
(/ (/ (sqrt 2) (tan k)) (/ t (/ l (cbrt t))))
2.1b
(/ (/ (sqrt 2) (sin k)) (/ (/ t l) (/ 1 (* (cbrt t) (cbrt t)))))

rewrite4.9s

Algorithm
rewrite-expression-head
Rules
289332×times-frac
105530×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
22563×sqrt-prod
14631×div-inv
9342×cbrt-prod
3800×associate-/l*
1775×associate-/r/
1066×tan-quot
596×add-exp-log
468×div-exp
302×add-cbrt-cube
252×cbrt-undiv
193×associate-/r*
36×prod-exp
24×rec-exp 1-exp
12×cbrt-unprod
pow1 clear-num frac-2neg insert-posit16 add-log-exp associate-/l/
Counts
4 → 56781
Calls
4 calls:
Slowest
105.0ms
(/ (/ (/ (sqrt 2) (tan k)) (/ t (/ l (cbrt t)))) (/ k t))
100.0ms
(/ (/ (/ (sqrt 2) (sin k)) (/ (/ t l) (/ 1 (* (cbrt t) (cbrt t))))) (/ k t))
21.0ms
(/ (/ (sqrt 2) (sin k)) (/ (/ t l) (/ 1 (* (cbrt t) (cbrt t)))))
15.0ms
(/ (/ (sqrt 2) (tan k)) (/ t (/ l (cbrt t))))

series1.2s

Counts
4 → 12
Calls
4 calls:
Slowest
301.0ms
(/ (/ (/ (sqrt 2) (sin k)) (/ (/ t l) (/ 1 (* (cbrt t) (cbrt t))))) (/ k t))
301.0ms
(/ (/ (sqrt 2) (tan k)) (/ t (/ l (cbrt t))))
298.0ms
(/ (/ (/ (sqrt 2) (tan k)) (/ t (/ l (cbrt t)))) (/ k t))
294.0ms
(/ (/ (sqrt 2) (sin k)) (/ (/ t l) (/ 1 (* (cbrt t) (cbrt t)))))

simplify4.6m