Details

Time bar (total: 6.3s)

sample16.0ms

Algorithm
intervals
Results
6.0ms237×body80valid
1.0ms10×body640valid
1.0msbody1280valid
0.0msbody320valid
0.0msbody2560valid

simplify241.0ms

Counts
1 → 1
Iterations

Useful iterations: 5 (118.0ms)

IterNodesCost
0811
12011
2579
31398
42128
52407
62467
done2467

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma y 2 (fma 3 x z))
0.1b
(fma 3 x 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
2 → 20
Calls
2 calls:
0.0ms
(fma y 2 (fma 3 x z))
0.0ms
(fma 3 x z)

series45.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(fma y 2 (fma 3 x z))
22.0ms
(fma 3 x z)

simplify846.0ms

Counts
26 → 26
Iterations

Useful iterations: 2 (10.0ms)

IterNodesCost
031204
140198
287173
3290173
41222173
done5000173

prune68.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite1.3s

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:
17.0ms
(+ (+ x y) y)
1.2s
(+ (+ (+ (+ (+ x y) y) x) z) x)
70.0ms
(+ (+ (+ x y) y) x)

series75.0ms

Counts
3 → 9
Calls
3 calls:
22.0ms
(+ (+ x y) y)
22.0ms
(+ (+ (+ (+ (+ x y) y) x) z) x)
30.0ms
(+ (+ (+ x y) y) x)

simplify1.9s

Counts
84 → 84
Iterations

Useful iterations: 3 (757.0ms)

IterNodesCost
094772
1267720
2867563
34447514
done5000514

prune166.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.1b
(fma x 3 (fma 2 y 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 x 3 (fma 2 y z))

series23.0ms

Counts
1 → 3
Calls
1 calls:
23.0ms
(fma x 3 (fma 2 y z))

simplify1.2s

Counts
13 → 13
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
021126
128120
273106
3323106
41737106
done5001106

prune33.0ms

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

sample399.0ms

Algorithm
intervals
Results
182.0ms7371×body80valid
21.0ms197×body1280valid
17.0ms200×body640valid
8.0ms131×body320valid
5.0ms37×body2560valid
3.0ms69×body160valid