Details

Time bar (total: 30.7s)

sample49.0ms

Algorithm
intervals
Results
24.0ms451×body80valid

simplify98.0ms

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

prune40.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite58.0ms

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:
22.0ms
(+ (* 3 (* y y)) (* x x))
35.0ms
(* 3 (* y y))

series98.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(+ (* 3 (* y y)) (* x x))
41.0ms
(* 3 (* y y))

simplify4.1s

Counts
38 → 38
Iterations
IterNodes
done5012
32781
2573
1175
059

prune379.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite47.0ms

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

series112.0ms

Counts
2 → 6
Calls
2 calls:
72.0ms
(+ (* (* 3 y) y) (* x x))
40.0ms
(* (* 3 y) y)

simplify5.4s

Counts
37 → 37
Iterations
IterNodes
done5012
32860
2645
1182
061

prune386.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 2 expressions with local error:

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

rewrite75.0ms

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-*r* pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
2×insert-posit16
1×+-commutative sum-log flip3-+ associate-*l* *-commutative flip-+ unswap-sqr
Counts
2 → 32
Calls
2 calls:
31.0ms
(+ (* (* y y) 3) (* x x))
41.0ms
(* (* y y) 3)

series91.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(+ (* (* y y) 3) (* x x))
33.0ms
(* (* y y) 3)

simplify5.4s

Counts
38 → 38
Iterations
IterNodes
done5022
32618
2677
1177
062

prune426.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize59.0ms

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)))
0.2b
(* (cbrt 3) (* y y))

rewrite253.0ms

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:
120.0ms
(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))
103.0ms
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
26.0ms
(* (cbrt 3) (* y y))

series377.0ms

Counts
3 → 9
Calls
3 calls:
138.0ms
(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))
153.0ms
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
86.0ms
(* (cbrt 3) (* y y))

simplify10.2s

Counts
74 → 74
Iterations
IterNodes
done5001
34445
2895
1261
092

prune561.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes775.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done10
110
07

end0.0ms

sample1.7s

Algorithm
intervals
Results
1.2s14278×body80valid