Details

Time bar (total: 12.5s)

sample45.0ms

Algorithm
intervals
Results
32.0ms449×body80valid

simplify36.0ms

Counts
1 → 1
Iterations
IterNodes
done80
480
377
244
118
09

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt fma-udef insert-posit16 log1p-expm1-u add-log-exp
Counts
1 → 11
Calls
1 calls:
1.0ms
(fma y (fma 2.0 x y) (* x x))

series36.0ms

Counts
1 → 3
Calls
1 calls:
36.0ms
(fma y (fma 2.0 x y) (* x x))

simplify1.2s

Counts
14 → 14
Iterations
IterNodes
done5006
41006
3264
2101
143
024

prune81.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt fma-udef add-log-exp
3×associate-*r* associate-*l*
2×distribute-rgt-in expm1-log1p-u associate-+l+ distribute-lft-in insert-posit16 log1p-expm1-u
1×+-commutative sum-log fma-def flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
2 → 40
Calls
2 calls:
14.0ms
(+ (* y (fma 2.0 x y)) (* x x))
12.0ms
(* y (fma 2.0 x y))

series103.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(+ (* y (fma 2.0 x y)) (* x x))
58.0ms
(* y (fma 2.0 x y))

simplify2.6s

Counts
46 → 46
Iterations
IterNodes
done5001
32193
2562
1183
071

prune169.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
3×associate-*r* associate-*l* fma-udef
2×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
1×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 34
Calls
2 calls:
0.0ms
(fma x x (* y (fma 2.0 x y)))
6.0ms
(* y (fma 2.0 x y))

series116.0ms

Counts
2 → 6
Calls
2 calls:
64.0ms
(fma x x (* y (fma 2.0 x y)))
52.0ms
(* y (fma 2.0 x y))

simplify2.1s

Counts
40 → 40
Iterations
IterNodes
done5000
3949
2276
1113
058

prune224.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b
(* y (fma 2.0 x y))
0.1b
(* (sqrt (* y (fma 2.0 x y))) (sqrt (* y (fma 2.0 x y))))
10.8b
(sqrt (* y (fma 2.0 x y)))
10.8b
(sqrt (* y (fma 2.0 x y)))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
61×pow1
32×sqrt-pow1
23×pow-prod-down
14×add-sqr-sqrt
12×pow1/2
10×*-un-lft-identity pow-prod-up add-cube-cbrt
8×add-cbrt-cube add-exp-log
7×associate-*r* associate-*l*
6×pow-sqr sqrt-prod
4×expm1-log1p-u swap-sqr insert-posit16 log1p-expm1-u add-log-exp
2×prod-exp *-commutative cbrt-unprod fma-udef unswap-sqr
1×pow2 distribute-rgt-in rem-square-sqrt distribute-lft-in pow-plus sqrt-unprod
Counts
4 → 103
Calls
4 calls:
11.0ms
(* y (fma 2.0 x y))
35.0ms
(* (sqrt (* y (fma 2.0 x y))) (sqrt (* y (fma 2.0 x y))))
4.0ms
(sqrt (* y (fma 2.0 x y)))
8.0ms
(sqrt (* y (fma 2.0 x y)))

series345.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(* y (fma 2.0 x y))
76.0ms
(* (sqrt (* y (fma 2.0 x y))) (sqrt (* y (fma 2.0 x y))))
114.0ms
(sqrt (* y (fma 2.0 x y)))
99.0ms
(sqrt (* y (fma 2.0 x y)))

simplify2.9s

Counts
115 → 115
Iterations
IterNodes
done5004
32313
2618
1229
0102

prune510.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes81.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done7
17
06

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.4s14080×body80valid