Details

Time bar (total: 22.4s)

sample28.0ms

Algorithm
intervals
Results
13.0ms425×body80valid

simplify66.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (12.0ms)

IterNodesCost
0715
11414
22911
3508
4688
5748
done748

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

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)))
17.0ms
(* 3 (* y y))

series97.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(fma x x (* 3 (* y y)))
46.0ms
(* 3 (* y y))

simplify4.8s

Counts
37 → 37
Iterations

Useful iterations: 3 (222.0ms)

IterNodesCost
050312
1102296
2250260
3604254
41262254
54624254
done5000254

prune86.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

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)))
17.0ms
(* 3 (* y y))

series92.0ms

Counts
2 → 6
Calls
2 calls:
63.0ms
(fma x x (* 3 (* y y)))
29.0ms
(* 3 (* y y))

simplify4.7s

Counts
37 → 37
Iterations

Useful iterations: 3 (238.0ms)

IterNodesCost
050312
1102296
2250260
3604254
41262254
54624254
done5000254

prune91.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite25.0ms

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

series105.0ms

Counts
2 → 6
Calls
2 calls:
67.0ms
(fma x x (* (* 3 y) y))
38.0ms
(* (* 3 y) y)

simplify3.2s

Counts
36 → 36
Iterations

Useful iterations: 4 (1.3s)

IterNodesCost
052307
1116291
2378253
3857247
41706246
done5000246

prune124.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize18.0ms

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)))
0.3b
(* (cbrt 3) (* y y))

rewrite139.0ms

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:
1.0ms
(fma x x (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))))
106.0ms
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
29.0ms
(* (cbrt 3) (* y y))

series247.0ms

Counts
3 → 9
Calls
3 calls:
91.0ms
(fma x x (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))))
94.0ms
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
62.0ms
(* (cbrt 3) (* y y))

simplify6.9s

Counts
74 → 74
Iterations

Useful iterations: 3 (990.0ms)

IterNodesCost
084954
1182926
2624629
32144487
done5000487

prune211.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes90.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
0810
1118
done118

end0.0ms

sample1.3s

Algorithm
intervals
Results
790.0ms14078×body80valid