Details

Time bar (total: 1.5s)

sample53.0ms

Algorithm
intervals
Results
18.0ms302×body80valid
11.0ms31×body1280valid
6.0ms23×body640valid
4.0ms21×body320valid
1.0ms7×body160valid

simplify461.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01216
12616
26616
322716
4101316
done500016

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ (cos (* 2.0 x)) (* (pow cos 2.0) (* (* x (pow sin 2.0)) x)))
2.7b
(* (* x (pow sin 2.0)) x)
8.4b
(* x (pow sin 2.0))
19.9b
(* (pow cos 2.0) (* (* x (pow sin 2.0)) x))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
122×add-exp-log
82×prod-exp
34×add-cbrt-cube
18×pow-to-exp pow-exp
17×add-sqr-sqrt
16×div-exp cbrt-unprod
12×add-cube-cbrt *-un-lft-identity
11×associate-*r* associate-*l*
7×unpow-prod-down
6×pow1
4×cbrt-undiv expm1-log1p-u log1p-expm1-u add-log-exp
3×times-frac *-commutative associate-/l* unswap-sqr sqr-pow
1×frac-2neg pow-prod-down clear-num associate-/r* div-inv
Counts
4 → 123
Calls
4 calls:
25.0ms
(/ (cos (* 2.0 x)) (* (pow cos 2.0) (* (* x (pow sin 2.0)) x)))
9.0ms
(* (* x (pow sin 2.0)) x)
6.0ms
(* x (pow sin 2.0))
26.0ms
(* (pow cos 2.0) (* (* x (pow sin 2.0)) x))

series868.0ms

Counts
4 → 12
Calls
4 calls:
303.0ms
(/ (cos (* 2.0 x)) (* (pow cos 2.0) (* (* x (pow sin 2.0)) x)))
154.0ms
(* (* x (pow sin 2.0)) x)
140.0ms
(* x (pow sin 2.0))
271.0ms
(* (pow cos 2.0) (* (* x (pow sin 2.0)) x))

simplify39.0ms

Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
01792045