Details

Time bar (total: 4.6s)

sample69.0ms

Algorithm
intervals
Results
30.0ms443×body80valid

simplify102.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01515
12615
24815
37915
48915
done8915

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x y) (* z t))
0.0b
(+ (+ (* x y) (* z t)) (* a b))
0.0b
(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))

rewrite252.0ms

Algorithm
rewrite-expression-head
Rules
19×add-log-exp
10×sum-log
pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ add-cbrt-cube flip-+
associate-+l+
Counts
3 → 38
Calls
3 calls:
8.0ms
(+ (* x y) (* z t))
31.0ms
(+ (+ (* x y) (* z t)) (* a b))
212.0ms
(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))

series474.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(+ (* x y) (* z t))
99.0ms
(+ (+ (* x y) (* z t)) (* a b))
327.0ms
(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))

simplify3.3s

Counts
47 → 47
Iterations

Useful iterations: 3 (1.4s)

IterNodesCost
085777
1273719
21073689
34790677
done5000677

prune171.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
1.8b
(cbrt (+ (* x y) (* z t)))
1.8b
(cbrt (+ (* x y) (* z t)))
1.8b
(cbrt (+ (* x y) (* z t)))

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
flip3-+ pow1/3 flip-+
add-exp-log swap-sqr associate-*r* associate-*l*
frac-times add-cbrt-cube add-log-exp unswap-sqr
associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
65.0ms
(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
10.0ms
(cbrt (+ (* x y) (* z t)))
10.0ms
(cbrt (+ (* x y) (* z t)))
11.0ms
(cbrt (+ (* x y) (* z t)))

series9.0ms