Details

Time bar (total: 8.9s)

sample16.0ms

Algorithm
intervals
Results
6.0ms339×body80valid

simplify15.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
057
1106
2146
3166
4176
done176

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
4×*-un-lft-identity
3×fma-def add-log-exp
2×add-sqr-sqrt add-cube-cbrt
1×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:
7.0ms
(+ y (fma x x y))

series47.0ms

Counts
1 → 3
Calls
1 calls:
47.0ms
(+ y (fma x x y))

simplify2.6s

Counts
21 → 21
Iterations

Useful iterations: 4 (1.5s)

IterNodesCost
033173
182165
2232150
3874146
44072141
done5000141

prune51.0ms

Pruning

3 alts after pruning (2 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))))

rewrite70.0ms

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
9×sqrt-pow1 flip3-+ pow1/2 flip-+ distribute-lft-out
8×add-log-exp
7×associate-*r* associate-*l*
6×add-exp-log fma-def add-cbrt-cube
5×pow-prod-up
4×expm1-log1p-u frac-times log1p-expm1-u unswap-sqr
3×pow-prod-down pow-sqr
2×+-commutative associate-+r+ associate-*r/ associate-*l/ sum-log fma-udef
1×pow2 rem-sqrt-square pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod hypot-def
Counts
4 → 119
Calls
4 calls:
8.0ms
(sqrt (+ y (fma x x y)))
7.0ms
(+ y (fma x x y))
6.0ms
(+ y (fma x x y))
45.0ms
(* (sqrt (+ y (fma x x y))) (sqrt (+ y (fma x x y))))

series276.0ms

Counts
4 → 12
Calls
4 calls:
126.0ms
(sqrt (+ y (fma x x y)))
51.0ms
(+ y (fma x x y))
46.0ms
(+ y (fma x x y))
52.0ms
(* (sqrt (+ y (fma x x y))) (sqrt (+ y (fma x x y))))

simplify1.8s

Counts
131 → 131
Iterations

Useful iterations: done (1.8s)

IterNodesCost
01081954
12041352
25671237
319831176
done50001129

prune272.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(sqrt (fma y 2 (* x x)))
0.0b
(sqrt (fma y 2 (* x x)))
0.2b
(* (sqrt (fma y 2 (* x x))) (sqrt (fma y 2 (* x x))))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
24×sqrt-prod
20×pow1
13×add-cube-cbrt *-un-lft-identity
10×sqrt-pow1 pow1/2
8×swap-sqr
6×associate-*r* associate-*l*
5×add-exp-log pow-prod-up add-cbrt-cube
4×unswap-sqr
3×expm1-log1p-u pow-prod-down pow-sqr log1p-expm1-u add-log-exp
2×rem-sqrt-square
1×pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
3 → 81
Calls
3 calls:
2.0ms
(sqrt (fma y 2 (* x x)))
2.0ms
(sqrt (fma y 2 (* x x)))
18.0ms
(* (sqrt (fma y 2 (* x x))) (sqrt (fma y 2 (* x x))))

series295.0ms

Counts
3 → 9
Calls
3 calls:
127.0ms
(sqrt (fma y 2 (* x x)))
123.0ms
(sqrt (fma y 2 (* x x)))
46.0ms
(* (sqrt (fma y 2 (* x x))) (sqrt (fma y 2 (* x x))))

simplify2.8s

Counts
90 → 90
Iterations

Useful iterations: 4 (1.5s)

IterNodesCost
0711344
1127868
2318778
3990741
43551722
done5000722

prune161.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes40.0ms

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

sample418.0ms

Algorithm
intervals
Results
183.0ms10693×body80valid