Details

Time bar (total: 14.2s)

sample52.0ms

Algorithm
intervals
Results
36.0ms449×body80valid

simplify63.0ms

Counts
1 → 1
Iterations
IterNodes
done45
545
442
335
223
113
07

prune7.0ms

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
(+ (* 3 (* y y)) (* x x))
0.2b
(* 3 (* y y))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-cbrt-cube add-exp-log
4×add-sqr-sqrt add-log-exp
3×*-un-lft-identity associate-*l* pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
2×insert-posit16
1×+-commutative sum-log flip3-+ associate-*r* *-commutative flip-+ unswap-sqr
Counts
2 → 32
Calls
2 calls:
26.0ms
(+ (* 3 (* y y)) (* x x))
14.0ms
(* 3 (* y y))

series84.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(+ (* 3 (* y y)) (* x x))
37.0ms
(* 3 (* y y))

simplify2.0s

Counts
38 → 38
Iterations
IterNodes
done5029
32787
2580
1177
059

prune216.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (* y 3) y) (* x x))
0.1b
(* (* y 3) y)

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-cbrt-cube add-exp-log
4×add-log-exp
3×add-sqr-sqrt *-un-lft-identity associate-*r* pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
2×insert-posit16
1×+-commutative sum-log flip3-+ associate-*l* *-commutative flip-+
Counts
2 → 31
Calls
2 calls:
29.0ms
(+ (* (* y 3) y) (* x x))
31.0ms
(* (* y 3) y)

series90.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(+ (* (* y 3) y) (* x x))
40.0ms
(* (* y 3) y)

simplify2.0s

Counts
37 → 37
Iterations
IterNodes
done5003
32487
2624
1179
062

prune123.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 2 expressions with local error:

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

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-cbrt-cube add-exp-log
4×add-sqr-sqrt add-log-exp
3×*-un-lft-identity associate-*l* pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
2×insert-posit16
1×+-commutative sum-log flip3-+ associate-*r* *-commutative flip-+ unswap-sqr
Counts
2 → 32
Calls
2 calls:
9.0ms
(+ (* x x) (* 3 (* y y)))
13.0ms
(* 3 (* y y))

series78.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(+ (* x x) (* 3 (* y y)))
37.0ms
(* 3 (* y y))

simplify2.2s

Counts
38 → 38
Iterations
IterNodes
done5004
33039
2601
1176
059

prune141.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* 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))

rewrite95.0ms

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×*-un-lft-identity add-cube-cbrt add-log-exp
4×cbrt-prod
3×insert-posit16
2×associate-*r* *-commutative unswap-sqr
1×+-commutative sum-log flip3-+ flip-+
Counts
3 → 65
Calls
3 calls:
23.0ms
(+ (* x x) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))))
47.0ms
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
24.0ms
(* (cbrt 3) (* y y))

series287.0ms

Counts
3 → 9
Calls
3 calls:
116.0ms
(+ (* x x) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))))
112.0ms
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
59.0ms
(* (cbrt 3) (* y y))

simplify4.1s

Counts
74 → 74
Iterations
IterNodes
done5006
34607
2922
1257
092

prune276.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes272.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done10
110
07

end0.0ms

sample1.9s

Algorithm
intervals
Results
1.6s14093×body80valid