Details

Time bar (total: 5.3s)

sample42.0ms

Algorithm
intervals
Results
26.0ms452×body80valid

simplify53.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (17.0ms)

IterNodesCost
0913
11812
24510
3759
4779
done779

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b
(fma x (fma y 2.0 x) (* y y))

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 (fma y 2.0 x) (* y y))

series35.0ms

Counts
1 → 3
Calls
1 calls:
35.0ms
(fma x (fma y 2.0 x) (* y y))

simplify1.4s

Counts
13 → 13
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
023165
143165
2101135
3313135
41664135
done5000135

prune42.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (fma y 2.0 x) x) (* y y))
0.0b
(* (fma y 2.0 x) x)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
associate-*r* associate-*l*
expm1-log1p-u log1p-expm1-u
+-commutative fma-def flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
2 → 34
Calls
2 calls:
11.0ms
(+ (* (fma y 2.0 x) x) (* y y))
9.0ms
(* (fma y 2.0 x) x)

series110.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(+ (* (fma y 2.0 x) x) (* y y))
70.0ms
(* (fma y 2.0 x) x)

simplify2.1s

Counts
40 → 40
Iterations

Useful iterations: 3 (663.0ms)

IterNodesCost
065464
1167429
2543373
31984367
done5000367

prune128.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
1910
done910

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.0s14173×body80valid