Details

Time bar (total: 4.8s)

sample14.0ms

Algorithm
intervals
Results
5.0ms244×body80valid
0.0msbody1280valid
0.0msbody640valid
0.0msbody320valid
0.0msbody2560valid
0.0msbody160valid

simplify132.0ms

Counts
1 → 1
Iterations

Useful iterations: 5 (67.0ms)

IterNodesCost
0811
12011
2579
31398
42098
52357
62417
done2417

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite1.2s

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:
1.1s
(+ (+ (+ (+ (+ x y) y) x) z) x)
15.0ms
(+ (+ x y) y)
67.0ms
(+ (+ (+ x y) y) x)

series90.0ms

Counts
3 → 9
Calls
3 calls:
22.0ms
(+ (+ (+ (+ (+ x y) y) x) z) x)
24.0ms
(+ (+ x y) y)
44.0ms
(+ (+ (+ x y) y) x)

simplify1.9s

Counts
84 → 84
Iterations

Useful iterations: 3 (636.0ms)

IterNodesCost
094772
1267720
2867563
34434516
done5000516

prune143.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

series26.0ms

Counts
1 → 3
Calls
1 calls:
26.0ms
(fma 3 x (fma y 2 z))

simplify776.0ms

Counts
13 → 13
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
020126
127120
273106
3323106
41737106
done5001106

prune32.0ms

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

sample376.0ms

Algorithm
intervals
Results
167.0ms7429×body80valid
17.0ms174×body1280valid
16.0ms203×body640valid
6.0ms102×body320valid
4.0ms37×body2560valid
3.0ms66×body160valid