Details

Time bar (total: 4.5s)

sample85.0ms

Algorithm
intervals
Results
42.0ms455×body80valid

simplify89.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01515
12615
24815
37915
48915
done8915

prune3.0ms

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

rewrite252.0ms

Algorithm
rewrite-expression-head
Rules
19×add-log-exp
10×sum-log
3×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ add-cbrt-cube flip-+
2×associate-+l+
Counts
3 → 38
Calls
3 calls:
198.0ms
(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
15.0ms
(+ (* x y) (* z t))
37.0ms
(+ (+ (* x y) (* z t)) (* a b))

series507.0ms

Counts
3 → 9
Calls
3 calls:
348.0ms
(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
62.0ms
(+ (* x y) (* z t))
97.0ms
(+ (+ (* x y) (* z t)) (* a b))

simplify2.3s

Counts
47 → 47
Iterations

Useful iterations: 3 (902.0ms)

IterNodesCost
085777
1273719
21075689
34806677
done5000677

prune219.0ms

Pruning

3 alts after pruning (2 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)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
0.5b
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.5b
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.5b
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

rewrite991.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
664.0ms
(* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
112.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
116.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
96.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

series53.0ms