Details

Time bar (total: 4.6s)

sample15.0ms

Algorithm
intervals
Results
6.0ms334×body80valid

simplify9.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
057
1106
2146
3166
4176
done176

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity
fma-def add-log-exp
add-sqr-sqrt add-cube-cbrt
pow1 add-exp-log +-commutative expm1-log1p-u associate-+r+ flip3-+ sum-log add-cbrt-cube flip-+ fma-udef log1p-expm1-u distribute-lft-out
Counts
1 → 18
Calls
1 calls:
3.0ms
(+ y (fma x x y))

series48.0ms

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

simplify2.0s

Counts
21 → 21
Iterations

Useful iterations: 4 (689.0ms)

IterNodesCost
033173
182165
2208150
3663146
42992141
done5000141

prune41.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ y (fma x x y)))
0.0b
(+ y (fma x x y))
0.0b
(+ y (fma x x y))
0.2b
(* (sqrt (+ y (fma x x y))) (sqrt (+ y (fma x x y))))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
35×*-un-lft-identity
30×add-sqr-sqrt sqrt-prod
20×pow1
15×add-cube-cbrt
14×sqrt-div
11×swap-sqr
sqrt-pow1 flip3-+ pow1/2 flip-+ distribute-lft-out
add-log-exp
associate-*r* associate-*l*
add-exp-log fma-def add-cbrt-cube
pow-prod-up
expm1-log1p-u frac-times log1p-expm1-u unswap-sqr
pow-prod-down pow-sqr
+-commutative associate-+r+ associate-*r/ associate-*l/ sum-log fma-udef
pow2 rem-sqrt-square pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod hypot-def
Counts
4 → 119
Calls
4 calls:
4.0ms
(sqrt (+ y (fma x x y)))
3.0ms
(+ y (fma x x y))
3.0ms
(+ y (fma x x y))
24.0ms
(* (sqrt (+ y (fma x x y))) (sqrt (+ y (fma x x y))))

series272.0ms

Counts
4 → 12
Calls
4 calls:
130.0ms
(sqrt (+ y (fma x x y)))
52.0ms
(+ y (fma x x y))
47.0ms
(+ y (fma x x y))
42.0ms
(* (sqrt (+ y (fma x x y))) (sqrt (+ y (fma x x y))))

simplify1.5s

Counts
131 → 131
Iterations

Useful iterations: 3 (491.0ms)

IterNodesCost
01081954
12051352
25531237
319591176
done50011176

prune292.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes28.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046
156
done56

end0.0ms

sample369.0ms

Algorithm
intervals
Results
198.0ms10689×body80valid