Details

Time bar (total: 31.5s)

sample70.0ms

Algorithm
intervals
Results
36.0ms456×body80valid

simplify175.0ms

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

prune45.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize83.0ms

Local error

Found 2 expressions with local error:

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

rewrite115.0ms

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:
71.0ms
(+ (* 3 (* y y)) (* x x))
41.0ms
(* 3 (* y y))

series121.0ms

Counts
2 → 6
Calls
2 calls:
63.0ms
(+ (* 3 (* y y)) (* x x))
58.0ms
(* 3 (* y y))

simplify5.9s

Counts
38 → 38
Iterations
IterNodes
done5012
32781
2573
1175
059

prune416.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize60.0ms

Local error

Found 2 expressions with local error:

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

rewrite91.0ms

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-*l* pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
2×insert-posit16
1×+-commutative sum-log flip3-+ associate-*r* *-commutative flip-+
Counts
2 → 31
Calls
2 calls:
41.0ms
(+ (* y (* 3 y)) (* x x))
46.0ms
(* y (* 3 y))

series97.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(+ (* y (* 3 y)) (* x x))
43.0ms
(* y (* 3 y))

simplify5.3s

Counts
37 → 37
Iterations
IterNodes
done5002
32500
2541
1165
059

prune441.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize108.0ms

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))

rewrite524.0ms

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:
91.0ms
(+ (+ (* x x) (* y y)) (* y y))
34.0ms
(+ (* x x) (* y y))
397.0ms
(+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))

series184.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(+ (+ (* x x) (* y y)) (* y y))
54.0ms
(+ (* x x) (* y y))
76.0ms
(+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))

simplify2.4s

Counts
50 → 50
Iterations
IterNodes
done5000
2936
1230
073

prune476.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

localize98.0ms

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))

rewrite377.0ms

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:
177.0ms
(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))
146.0ms
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
45.0ms
(* (cbrt 3) (* y y))

series317.0ms

Counts
3 → 9
Calls
3 calls:
128.0ms
(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))
119.0ms
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
70.0ms
(* (cbrt 3) (* y y))

simplify10.5s

Counts
74 → 74
Iterations
IterNodes
done5001
34445
2895
1261
092

prune590.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes887.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done10
110
07

end0.0ms

sample2.0s

Algorithm
intervals
Results
1.1s14318×body80valid