Details

Time bar (total: 10.0m)

sample1.2s

Algorithm
intervals
Results
379.0ms83×body2560valid
263.0ms118×body1280valid
262.0ms32×body5120valid
192.0ms81×body640valid
39.0ms33×body320valid
27.0ms71×body80valid
12.0ms16×body160valid

simplify3.9s

Counts
1 → 1
Iterations
IterNodes
47847
3994
2173
151
019

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 30.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ k t) (/ k t))
1.1b
(/ (/ 2 (tan k)) (* (/ t l) t))
2.3b
(* (/ t l) (sin k))
29.9b
(/ (/ (/ (/ 2 (tan k)) (* (/ t l) t)) (* (/ t l) (sin k))) (* (/ k t) (/ k t)))

rewrite119.0ms

Algorithm
rewrite-expression-head
Rules
873×add-cbrt-cube add-exp-log
519×cbrt-undiv div-exp
228×prod-exp cbrt-unprod
190×times-frac
89×add-sqr-sqrt
72×*-un-lft-identity add-cube-cbrt
38×associate-/l*
26×associate-*l*
16×associate-*r*
15×div-inv
13×pow1 swap-sqr
12×associate-/r/
associate-*l/
unswap-sqr
tan-quot insert-posit16 add-log-exp
frac-times clear-num associate-/r* frac-2neg pow-prod-down associate-*r/ *-commutative associate-/l/
pow2 pow-plus pow-sqr pow-prod-up
Counts
4 → 439
Calls
4 calls:
23.0ms
(* (/ k t) (/ k t))
17.0ms
(/ (/ 2 (tan k)) (* (/ t l) t))
13.0ms
(* (/ t l) (sin k))
50.0ms
(/ (/ (/ (/ 2 (tan k)) (* (/ t l) t)) (* (/ t l) (sin k))) (* (/ k t) (/ k t)))

series659.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(* (/ k t) (/ k t))
179.0ms
(/ (/ 2 (tan k)) (* (/ t l) t))
119.0ms
(* (/ t l) (sin k))
315.0ms
(/ (/ (/ (/ 2 (tan k)) (* (/ t l) t)) (* (/ t l) (sin k))) (* (/ k t) (/ k t)))

simplify850.0ms

Counts
451 → 451
Iterations
IterNodes
12140
0715

prune6.6s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 7.7b

localize50.0ms

Local error

Found 4 expressions with local error:

2.5b
(/ (/ 2 (sin k)) (/ t l))
6.4b
(* (/ (/ (/ (/ 2 (sin k)) (/ t l)) (/ t l)) (/ k t)) (/ (/ (/ (cos k) t) (sin k)) (/ k t)))
14.0b
(/ (/ (/ (cos k) t) (sin k)) (/ k t))
17.1b
(/ (/ (/ (/ 2 (sin k)) (/ t l)) (/ t l)) (/ k t))

rewrite25.2s

Algorithm
rewrite-expression-head
Rules
349680×times-frac
131979×add-sqr-sqrt
130647×*-un-lft-identity add-cube-cbrt
29476×associate-*l*
18965×div-inv
2323×associate-/l*
1486×add-cbrt-cube add-exp-log
1128×cbrt-undiv div-exp
564×associate-*r*
383×associate-/r/
161×prod-exp cbrt-unprod unswap-sqr
39×associate-/r*
pow1
insert-posit16 add-log-exp
clear-num frac-2neg associate-/l/
frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 63200
Calls
4 calls:
23.0ms
(/ (/ 2 (sin k)) (/ t l))
16.3s
(* (/ (/ (/ (/ 2 (sin k)) (/ t l)) (/ t l)) (/ k t)) (/ (/ (/ (cos k) t) (sin k)) (/ k t)))
33.0ms
(/ (/ (/ (cos k) t) (sin k)) (/ k t))
188.0ms
(/ (/ (/ (/ 2 (sin k)) (/ t l)) (/ t l)) (/ k t))

series579.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(/ (/ 2 (sin k)) (/ t l))
263.0ms
(* (/ (/ (/ (/ 2 (sin k)) (/ t l)) (/ t l)) (/ k t)) (/ (/ (/ (cos k) t) (sin k)) (/ k t)))
86.0ms
(/ (/ (/ (cos k) t) (sin k)) (/ k t))
152.0ms
(/ (/ (/ (/ 2 (sin k)) (/ t l)) (/ t l)) (/ k t))

simplify8.9m

Counts
63212 → 63212
Iterations
IterNodes
1294153
080697

prune26.8s