Details

Time bar (total: 13.3s)

sample46.0ms

Algorithm
intervals
Results
26.0ms429×body80valid

simplify68.0ms

Counts
1 → 1
Iterations
IterNodes
done79
579
471
351
229
114
07

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma x x (* (* y 3) y))
0.2b
(* (* y 3) y)

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-cbrt-cube add-exp-log
3×add-sqr-sqrt *-un-lft-identity associate-*r* pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×associate-*l* *-commutative fma-udef
Counts
2 → 30
Calls
2 calls:
0.0ms
(fma x x (* (* y 3) y))
33.0ms
(* (* y 3) y)

series82.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(fma x x (* (* y 3) y))
33.0ms
(* (* y 3) y)

simplify755.0ms

Counts
36 → 36
Iterations
IterNodes
done5000
2681
1122
053

prune179.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

0.1b
(fma (* y y) 3 (* 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 log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma (* y y) 3 (* x x))

series43.0ms

Counts
1 → 3
Calls
1 calls:
43.0ms
(fma (* y y) 3 (* x x))

simplify6.1s

Counts
13 → 13
Iterations
IterNodes
done5000
44012
3510
2117
134
021

prune88.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma x x (* (* y y) 3))
0.2b
(* (* y y) 3)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-cbrt-cube add-exp-log
4×add-sqr-sqrt
3×*-un-lft-identity associate-*r* pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×associate-*l* *-commutative fma-udef unswap-sqr
Counts
2 → 31
Calls
2 calls:
0.0ms
(fma x x (* (* y y) 3))
22.0ms
(* (* y y) 3)

series93.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(fma x x (* (* y y) 3))
34.0ms
(* (* y y) 3)

simplify842.0ms

Counts
37 → 37
Iterations
IterNodes
done5000
2814
1129
053

prune168.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (* y y) 3 (* x x))
0.2b
(* (sqrt (fma (* y y) 3 (* x x))) (sqrt (fma (* y y) 3 (* x x))))
7.4b
(sqrt (fma (* y y) 3 (* x x)))
7.4b
(sqrt (fma (* y y) 3 (* x x)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
14×*-un-lft-identity add-cube-cbrt
10×sqrt-pow1 pow1/2
8×swap-sqr
6×add-cbrt-cube associate-*r* associate-*l* add-exp-log
5×pow-prod-up
4×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square
1×pow2 rem-square-sqrt pow-plus sqrt-unprod prod-exp *-commutative cbrt-unprod fma-udef
Counts
4 → 91
Calls
4 calls:
0.0ms
(fma (* y y) 3 (* x x))
20.0ms
(* (sqrt (fma (* y y) 3 (* x x))) (sqrt (fma (* y y) 3 (* x x))))
2.0ms
(sqrt (fma (* y y) 3 (* x x)))
3.0ms
(sqrt (fma (* y y) 3 (* x x)))

series269.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(fma (* y y) 3 (* x x))
42.0ms
(* (sqrt (fma (* y y) 3 (* x x))) (sqrt (fma (* y y) 3 (* x x))))
81.0ms
(sqrt (fma (* y y) 3 (* x x)))
84.0ms
(sqrt (fma (* y y) 3 (* x x)))

simplify2.5s

Counts
103 → 103
Iterations
IterNodes
done5001
32515
2435
1137
073

prune437.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes264.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done7
17
06

end0.0ms

sample1.1s

Algorithm
intervals
Results
769.0ms14086×body80valid