Details

Time bar (total: 4.2s)

sample70.0ms

Algorithm
intervals
Results
36.0ms375×body80valid

simplify167.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
01315
12615
25613
39313
410813
510913
done10913

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
0.0b
(+ (+ x (* y z)) (* t a))
0.0b
(+ x (* y z))
4.7b
(* (* a z) b)

rewrite232.0ms

Algorithm
rewrite-expression-head
Rules
20×add-log-exp
10×sum-log
pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
+-commutative flip3-+ associate-*r* pow-prod-down prod-exp cbrt-unprod flip-+
associate-+l+
associate-*l* *-commutative
Counts
4 → 56
Calls
4 calls:
149.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
40.0ms
(+ (+ x (* y z)) (* t a))
6.0ms
(+ x (* y z))
34.0ms
(* (* a z) b)

series343.0ms

Counts
4 → 12
Calls
4 calls:
151.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
91.0ms
(+ (+ x (* y z)) (* t a))
53.0ms
(+ x (* y z))
47.0ms
(* (* a z) b)

simplify1.2s

Counts
68 → 68
Iterations

Useful iterations: done (1.2s)

IterNodesCost
0115854
1330787
21416703
done5001695

prune256.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* y z))
0.0b
(+ (* a (+ t (* z b))) (+ x (* y z)))
3.6b
(* a (+ t (* z b)))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
add-sqr-sqrt flip3-+ flip-+
associate-*r/
pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
frac-add sum-log
associate-*r* associate-*l*
+-commutative distribute-rgt-in associate-+l+ distribute-lft-in
associate-+r+ pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
3 → 52
Calls
3 calls:
6.0ms
(+ x (* y z))
34.0ms
(+ (* a (+ t (* z b))) (+ x (* y z)))
25.0ms
(* a (+ t (* z b)))

series268.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(+ x (* y z))
141.0ms
(+ (* a (+ t (* z b))) (+ x (* y z)))
89.0ms
(* a (+ t (* z b)))

simplify1.1s

Counts
61 → 61
Iterations

Useful iterations: 2 (318.0ms)

IterNodesCost
0119976
1395895
21640855
done5000855

prune307.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

4.7b
(* (* a z) b)
4.7b
(* (* a z) b)
11.8b
(sqrt (* (* a z) b))
11.8b
(sqrt (* (* a z) b))

rewrite129.0ms

Algorithm
rewrite-expression-head
Rules
26×pow1
14×add-exp-log add-cbrt-cube
12×pow-prod-down
add-sqr-sqrt add-cube-cbrt *-un-lft-identity sqrt-pow1 associate-*r* prod-exp cbrt-unprod
add-log-exp
pow1/2 associate-*l* sqrt-prod *-commutative
Counts
4 → 60
Calls
4 calls:
45.0ms
(* (* a z) b)
37.0ms
(* (* a z) b)
26.0ms
(sqrt (* (* a z) b))
18.0ms
(sqrt (* (* a z) b))

series14.0ms