Details

Time bar (total: 12.1s)

sample49.0ms

Algorithm
intervals
Results
37.0ms462×body80valid

simplify26.0ms

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: 0.2b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite40.0ms

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:
23.0ms
(+ (* 3 (* y y)) (* x x))
16.0ms
(* 3 (* y y))

series73.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(+ (* 3 (* y y)) (* x x))
35.0ms
(* 3 (* y y))

simplify1.8s

Counts
38 → 38
Iterations
IterNodes
done5029
32787
2580
1177
059

prune130.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite42.0ms

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:
21.0ms
(+ (* (* 3 y) y) (* x x))
20.0ms
(* (* 3 y) y)

series80.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(+ (* (* 3 y) y) (* x x))
31.0ms
(* (* 3 y) y)

simplify1.9s

Counts
37 → 37
Iterations
IterNodes
done5011
32826
2651
1181
061

prune141.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite151.0ms

Algorithm
rewrite-expression-head
Rules
19×add-log-exp
10×sum-log
3×add-sqr-sqrt pow1 +-commutative *-un-lft-identity flip3-+ add-cbrt-cube add-exp-log add-cube-cbrt flip-+ insert-posit16
2×associate-+l+
Counts
3 → 41
Calls
3 calls:
24.0ms
(+ (+ (* x x) (* y y)) (* y y))
13.0ms
(+ (* x x) (* y y))
114.0ms
(+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))

series118.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(+ (+ (* x x) (* y y)) (* y y))
29.0ms
(+ (* x x) (* y y))
41.0ms
(+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))

simplify1.1s

Counts
50 → 50
Iterations
IterNodes
done5005
2919
1230
073

prune164.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))
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×*-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:
53.0ms
(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))
57.0ms
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
17.0ms
(* (cbrt 3) (* y y))

series340.0ms

Counts
3 → 9
Calls
3 calls:
116.0ms
(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))
147.0ms
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
76.0ms
(* (cbrt 3) (* y y))

simplify3.9s

Counts
74 → 74
Iterations
IterNodes
done5014
34460
2899
1256
092

prune160.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes175.0ms

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
done10
110
07

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.1s14126×body80valid