Details

Time bar (total: 7.0s)

sample50.0ms

Algorithm
intervals
Results
26.0ms482×body80valid

simplify47.0ms

Counts
1 → 1
Iterations
IterNodes
done51
551
447
336
223
113
07

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite32.0ms

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
1×+-commutative sum-log flip3-+ associate-*l* *-commutative flip-+ unswap-sqr
Counts
2 → 30
Calls
2 calls:
17.0ms
(+ (* (* y y) 3) (* x x))
15.0ms
(* (* y y) 3)

series68.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(+ (* (* y y) 3) (* x x))
32.0ms
(* (* y y) 3)

simplify898.0ms

Counts
36 → 36
Iterations
IterNodes
done5001
21250
1197
060

prune140.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite26.0ms

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
1×+-commutative sum-log flip3-+ associate-*r* *-commutative flip-+
Counts
2 → 29
Calls
2 calls:
13.0ms
(+ (* y (* y 3)) (* x x))
13.0ms
(* y (* y 3))

series106.0ms

Counts
2 → 6
Calls
2 calls:
65.0ms
(+ (* y (* y 3)) (* x x))
40.0ms
(* y (* y 3))

simplify970.0ms

Counts
35 → 35
Iterations
IterNodes
done5000
2941
1175
056

prune150.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite128.0ms

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-+
2×associate-+l+
Counts
3 → 38
Calls
3 calls:
28.0ms
(+ (+ (* x x) (* y y)) (* y y))
6.0ms
(+ (* x x) (* y y))
93.0ms
(+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))

series160.0ms

Counts
3 → 9
Calls
3 calls:
62.0ms
(+ (+ (* x x) (* y y)) (* y y))
38.0ms
(+ (* x x) (* y y))
60.0ms
(+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))

simplify867.0ms

Counts
47 → 47
Iterations
IterNodes
done5002
21421
1254
070

prune248.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b
(* y (* y 3))
0.3b
(* (sqrt (* y (* y 3))) (sqrt (* y (* y 3))))
20.3b
(sqrt (* y (* y 3)))
20.3b
(sqrt (* y (* y 3)))

rewrite129.0ms

Algorithm
rewrite-expression-head
Rules
148×pow1
80×pow-prod-down
66×sqrt-pow1
17×pow-prod-up
14×pow1/2
11×add-sqr-sqrt add-cbrt-cube add-exp-log pow-sqr
9×*-un-lft-identity add-cube-cbrt
7×associate-*l*
6×sqrt-prod
5×associate-*r*
4×swap-sqr prod-exp cbrt-unprod add-log-exp
2×*-commutative
1×pow2 rem-square-sqrt pow-plus sqrt-unprod unswap-sqr
Counts
4 → 108
Calls
4 calls:
19.0ms
(* y (* y 3))
72.0ms
(* (sqrt (* y (* y 3))) (sqrt (* y (* y 3))))
19.0ms
(sqrt (* y (* y 3)))
14.0ms
(sqrt (* y (* y 3)))

series208.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(* y (* y 3))
91.0ms
(* (sqrt (* y (* y 3))) (sqrt (* y (* y 3))))
38.0ms
(sqrt (* y (* y 3)))
38.0ms
(sqrt (* y (* y 3)))

simplify803.0ms

Counts
120 → 120
Iterations
IterNodes
done5000
21282
1210
079

prune347.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes353.0ms

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

sample1.2s

Algorithm
intervals
Results
907.0ms14242×body80valid