Details

Time bar (total: 15.6s)

sample20.0ms

Algorithm
intervals
Results
10.0ms452×body80valid

simplify35.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (9.0ms)

IterNodesCost
0715
11414
22911
3508
4678
5718
done718

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
4×add-sqr-sqrt
3×add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×associate-*r* *-commutative fma-udef unswap-sqr
Counts
2 → 31
Calls
2 calls:
0.0ms
(fma x x (* 3 (* y y)))
6.0ms
(* 3 (* y y))

series66.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(fma x x (* 3 (* y y)))
24.0ms
(* 3 (* y y))

simplify2.5s

Counts
37 → 37
Iterations

Useful iterations: 3 (127.0ms)

IterNodesCost
050312
1105296
2283260
3610254
41182254
53348254
done5000254

prune76.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp 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 (* (* 3 y) y))
7.0ms
(* (* 3 y) y)

series68.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(fma x x (* (* 3 y) y))
24.0ms
(* (* 3 y) y)

simplify3.6s

Counts
36 → 36
Iterations

Useful iterations: 4 (2.5s)

IterNodesCost
052307
1117291
2427253
31326247
43989246
done5001246

prune84.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
29×pow1 add-exp-log
18×pow-prod-down prod-exp cbrt-unprod
17×add-cbrt-cube
7×add-sqr-sqrt associate-*l*
5×add-cube-cbrt *-un-lft-identity
4×cbrt-prod
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×associate-*r* *-commutative unswap-sqr
1×fma-udef
Counts
3 → 65
Calls
3 calls:
0.0ms
(fma x x (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))))
29.0ms
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
11.0ms
(* (cbrt 3) (* y y))

series215.0ms

Counts
3 → 9
Calls
3 calls:
83.0ms
(fma x x (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))))
87.0ms
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
45.0ms
(* (cbrt 3) (* y y))

simplify5.8s

Counts
74 → 74
Iterations

Useful iterations: 3 (752.0ms)

IterNodesCost
084954
1203926
2672629
32493487
44718487
done5000487

prune142.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.1b
(fma 3 (* y y) (* x x))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×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:
0.0ms
(fma 3 (* y y) (* x x))

series34.0ms

Counts
1 → 3
Calls
1 calls:
34.0ms
(fma 3 (* y y) (* x x))

simplify2.1s

Counts
13 → 13
Iterations

Useful iterations: 2 (10.0ms)

IterNodesCost
021140
133137
274121
3179121
4562121
51998121
done5000121

prune26.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes70.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
188
done88

end0.0ms

sample570.0ms

Algorithm
intervals
Results
342.0ms14334×body80valid