Details

Time bar (total: 21.1s)

sample28.0ms

Algorithm
intervals
Results
13.0ms425×body80valid

simplify51.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (12.0ms)

IterNodesCost
0715
11414
22911
3508
4688
5748
done748

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite27.0ms

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)))
25.0ms
(* 3 (* y y))

series83.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(fma x x (* 3 (* y y)))
26.0ms
(* 3 (* y y))

simplify4.9s

Counts
37 → 37
Iterations

Useful iterations: 3 (217.0ms)

IterNodesCost
050312
1102296
2250260
3604254
41262254
54624254
done5000254

prune93.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma x x (* 1 (* 3 (* y y))))
0.2b
(* 3 (* y y))

rewrite25.0ms

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 (* 1 (* 3 (* y y))))
24.0ms
(* 3 (* y y))

series97.0ms

Counts
2 → 6
Calls
2 calls:
62.0ms
(fma x x (* 1 (* 3 (* y y))))
35.0ms
(* 3 (* y y))

simplify3.6s

Counts
37 → 37
Iterations

Useful iterations: 3 (357.0ms)

IterNodesCost
052336
1108296
2288260
3766254
41713254
done5000254

prune146.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite20.0ms

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))
19.0ms
(* (* 3 y) y)

series92.0ms

Counts
2 → 6
Calls
2 calls:
66.0ms
(fma x x (* (* 3 y) y))
26.0ms
(* (* 3 y) y)

simplify3.7s

Counts
36 → 36
Iterations

Useful iterations: 4 (1.5s)

IterNodesCost
052307
1116291
2378253
3857247
41706246
done5000246

prune115.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma x x (* 1 (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))))
0.2b
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
0.3b
(* (cbrt 3) (* y y))

rewrite128.0ms

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 (* 1 (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))))
94.0ms
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
31.0ms
(* (cbrt 3) (* y y))

series337.0ms

Counts
3 → 9
Calls
3 calls:
152.0ms
(fma x x (* 1 (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))))
115.0ms
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
70.0ms
(* (cbrt 3) (* y y))

simplify5.8s

Counts
74 → 74
Iterations

Useful iterations: 3 (1.9s)

IterNodesCost
086978
1187930
2666629
32414487
done5000487

prune244.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes99.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
0810
1128
done128

end0.0ms

sample1.4s

Algorithm
intervals
Results
935.0ms14078×body80valid