Details

Time bar (total: 2.6s)

sample460.0ms

Algorithm
intervals
Results
221.0ms100×body1280valid
148.0ms55×body640valid
26.0ms27×body320valid
20.0ms67×body80valid
5.0msbody160valid

simplify1.9s

Counts
1 → 1
Iterations

Useful iterations: 2 (97.0ms)

IterNodesCost
03250
17450
219247
369747
4290747
done500147

prune34.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize70.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (/ (fma (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (* (- (sin y) (/ (sin x) 16.0)) (- (cos x) (cos y))) 2.0) 3.0) (fma (cos y) (/ (- 3.0 (sqrt 5.0)) 2.0) (fma (cos x) (/ (- (sqrt 5.0) 1.0) 2.0) 1.0)))
0.4b
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.0b
(- 3.0 (sqrt 5.0))
2.6b
(- (cos x) (cos y))

rewrite178.0ms

Algorithm
rewrite-expression-head
Rules
152×add-sqr-sqrt
143×*-un-lft-identity
137×add-cube-cbrt
130×times-frac
105×prod-diff
41×distribute-rgt-in distribute-lft-in
14×sqrt-prod
13×associate-/l*
11×add-exp-log add-cbrt-cube div-inv
add-log-exp
pow1 fma-neg associate-*r* associate-*l*
difference-of-squares
expm1-log1p-u sub-neg log1p-expm1-u
cbrt-undiv flip3-- div-exp associate-/r* flip-- distribute-lft-out--
diff-log associate-*r/ unswap-sqr
frac-2neg pow-prod-down prod-exp clear-num *-commutative cbrt-unprod diff-cos associate-/l/
Counts
4 → 250
Calls
4 calls:
19.0ms
(/ (/ (fma (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (* (- (sin y) (/ (sin x) 16.0)) (- (cos x) (cos y))) 2.0) 3.0) (fma (cos y) (/ (- 3.0 (sqrt 5.0)) 2.0) (fma (cos x) (/ (- (sqrt 5.0) 1.0) 2.0) 1.0)))
115.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
11.0ms
(- 3.0 (sqrt 5.0))
10.0ms
(- (cos x) (cos y))

series27.0ms