Details

Time bar (total: 12.1s)

sample56.0ms

Algorithm
intervals
Results
26.0ms477×body80valid

simplify62.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (18.0ms)

IterNodesCost
0715
11315
22313
3369
4469
5509
done509

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize35.0ms

Local error

Found 2 expressions with local error:

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

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
4×add-sqr-sqrt add-log-exp
3×add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
1×+-commutative flip3-+ associate-*r* sum-log *-commutative flip-+ unswap-sqr
Counts
2 → 30
Calls
2 calls:
20.0ms
(+ (* x x) (* 3 (* y y)))
35.0ms
(* 3 (* y y))

series128.0ms

Counts
2 → 6
Calls
2 calls:
74.0ms
(+ (* x x) (* 3 (* y y)))
54.0ms
(* 3 (* y y))

simplify1.1s

Counts
36 → 36
Iterations

Useful iterations: done (1.1s)

IterNodesCost
057370
1193348
21097296
done5000288

prune186.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
4×add-log-exp
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
1×+-commutative flip3-+ associate-*l* sum-log *-commutative flip-+
Counts
2 → 29
Calls
2 calls:
18.0ms
(+ (* x x) (* (* 3 y) y))
36.0ms
(* (* 3 y) y)

series113.0ms

Counts
2 → 6
Calls
2 calls:
67.0ms
(+ (* x x) (* (* 3 y) y))
46.0ms
(* (* 3 y) y)

simplify1.4s

Counts
35 → 35
Iterations

Useful iterations: done (1.4s)

IterNodesCost
059365
1189337
21221293
done5000283

prune160.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize25.0ms

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))

rewrite203.0ms

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×add-cube-cbrt *-un-lft-identity add-log-exp
4×cbrt-prod
2×associate-*r* *-commutative unswap-sqr
1×+-commutative flip3-+ sum-log flip-+
Counts
3 → 62
Calls
3 calls:
27.0ms
(+ (* x x) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))))
136.0ms
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
35.0ms
(* (cbrt 3) (* y y))

series414.0ms

Counts
3 → 9
Calls
3 calls:
160.0ms
(+ (* x x) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))))
168.0ms
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
86.0ms
(* (cbrt 3) (* y y))

simplify1.5s

Counts
71 → 71
Iterations

Useful iterations: done (1.5s)

IterNodesCost
0891026
1278960
21458660
done5000529

prune338.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

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

rewrite518.0ms

Algorithm
rewrite-expression-head
Rules
50×pow1 add-exp-log
42×add-cbrt-cube
33×pow-prod-down prod-exp cbrt-unprod
19×associate-*l*
14×sqrt-prod
13×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-log-exp
3×associate-*r* *-commutative unswap-sqr
1×+-commutative flip3-+ sum-log flip-+
Counts
4 → 99
Calls
4 calls:
32.0ms
(+ (* x x) (* (* (cbrt 3) (cbrt 3)) (* (sqrt (cbrt 3)) (* (sqrt (cbrt 3)) (* y y)))))
42.0ms
(* (sqrt (cbrt 3)) (* y y))
105.0ms
(* (sqrt (cbrt 3)) (* (sqrt (cbrt 3)) (* y y)))
331.0ms
(* (* (cbrt 3) (cbrt 3)) (* (sqrt (cbrt 3)) (* (sqrt (cbrt 3)) (* y y))))

series500.0ms

Counts
4 → 12
Calls
4 calls:
134.0ms
(+ (* x x) (* (* (cbrt 3) (cbrt 3)) (* (sqrt (cbrt 3)) (* (sqrt (cbrt 3)) (* y y)))))
131.0ms
(* (sqrt (cbrt 3)) (* y y))
84.0ms
(* (sqrt (cbrt 3)) (* (sqrt (cbrt 3)) (* y y)))
151.0ms
(* (* (cbrt 3) (cbrt 3)) (* (sqrt (cbrt 3)) (* (sqrt (cbrt 3)) (* y y))))

simplify2.0s

Counts
111 → 111
Iterations

Useful iterations: done (2.0s)

IterNodesCost
01202034
13861495
221481016
done5000863

prune519.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes352.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
199
done99

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.6s14294×body80valid