Details

Time bar (total: 8.1s)

sample20.0ms

Algorithm
intervals
Results
7.0ms240×body80valid
1.0msbody1280valid
0.0msbody640valid
0.0msbody320valid
0.0msbody160valid

simplify913.0ms

Counts
1 → 1
Iterations

Useful iterations: 5 (735.0ms)

IterNodesCost
0811
12011
26611
32089
44198
54697
64757
done4757

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ (+ (+ (+ x y) y) x) z) x)
0.0b
(+ (+ (+ x y) y) x)
0.0b
(+ (+ x y) y)

rewrite3.8s

Algorithm
rewrite-expression-head
Rules
61×*-un-lft-identity
38×distribute-lft-out
37×add-log-exp
24×sum-log
16×fma-def
add-sqr-sqrt add-cube-cbrt
pow1 add-exp-log +-commutative expm1-log1p-u associate-+l+ flip3-+ add-cbrt-cube flip-+ log1p-expm1-u
Counts
3 → 75
Calls
3 calls:
3.6s
(+ (+ (+ (+ (+ x y) y) x) z) x)
210.0ms
(+ (+ (+ x y) y) x)
39.0ms
(+ (+ x y) y)

series125.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(+ (+ (+ (+ (+ x y) y) x) z) x)
42.0ms
(+ (+ (+ x y) y) x)
37.0ms
(+ (+ x y) y)

simplify778.0ms

Counts
84 → 84
Iterations

Useful iterations: done (774.0ms)

IterNodesCost
094772
1264720
21044607
done5000596

prune281.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 1 expressions with local error:

0.0b
(fma x 3 (fma y 2 z))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
1.0ms
(fma x 3 (fma y 2 z))

series48.0ms

Counts
1 → 3
Calls
1 calls:
48.0ms
(fma x 3 (fma y 2 z))

simplify1.1s

Counts
13 → 13
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
021126
130120
2108106
3722106
done5002106

prune41.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
done77

end0.0ms

sample934.0ms

Algorithm
intervals
Results
389.0ms7413×body80valid
57.0ms168×body640valid
48.0ms36×body2560valid
37.0ms188×body1280valid
14.0ms120×body320valid
7.0ms88×body160valid