Details

Time bar (total: 13.2s)

sample43.0ms

Algorithm
intervals
Results
20.0ms369×body80valid

simplify4.4s

Counts
1 → 1

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite54.0ms

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:
26.0ms
(+ (* 3 (* z z)) (* x y))
27.0ms
(* 3 (* z z))

series117.0ms

Counts
2 → 6
Calls
2 calls:
70.0ms
(+ (* 3 (* z z)) (* x y))
47.0ms
(* 3 (* z z))

simplify1.1s

Counts
36 → 36

prune66.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite40.0ms

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:
21.0ms
(+ (* (* 3 z) z) (* x y))
18.0ms
(* (* 3 z) z)

series66.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(+ (* (* 3 z) z) (* x y))
28.0ms
(* (* 3 z) z)

simplify1.6s

Counts
35 → 35

prune80.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z))) (* x y))
0.2b
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z)))
0.3b
(* (cbrt 3) (* z z))

rewrite168.0ms

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:
63.0ms
(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z))) (* x y))
69.0ms
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z)))
32.0ms
(* (cbrt 3) (* z z))

series272.0ms

Counts
3 → 9
Calls
3 calls:
100.0ms
(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z))) (* x y))
104.0ms
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z)))
67.0ms
(* (cbrt 3) (* z z))

simplify647.0ms

Counts
71 → 71

prune153.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (cbrt (sqrt 3)) z)
0.1b
(* (cbrt (sqrt 3)) z)
0.2b
(* (* (cbrt 3) (cbrt 3)) (* (* (cbrt (sqrt 3)) z) (* (cbrt (sqrt 3)) z)))
0.4b
(* (* (cbrt (sqrt 3)) z) (* (cbrt (sqrt 3)) z))

rewrite241.0ms

Algorithm
rewrite-expression-head
Rules
156×pow1
81×pow-prod-down
61×add-exp-log
41×prod-exp cbrt-unprod
37×add-cbrt-cube
24×add-sqr-sqrt
20×associate-*l*
18×pow-prod-up
16×cbrt-prod
12×add-cube-cbrt *-un-lft-identity pow-plus pow-sqr
8×associate-*r* sqrt-prod
7×unswap-sqr
4×*-commutative add-log-exp
3×pow2
1×swap-sqr
Counts
4 → 144
Calls
4 calls:
11.0ms
(* (cbrt (sqrt 3)) z)
12.0ms
(* (cbrt (sqrt 3)) z)
166.0ms
(* (* (cbrt 3) (cbrt 3)) (* (* (cbrt (sqrt 3)) z) (* (cbrt (sqrt 3)) z)))
45.0ms
(* (* (cbrt (sqrt 3)) z) (* (cbrt (sqrt 3)) z))

series1.6s

Counts
4 → 12
Calls
4 calls:
321.0ms
(* (cbrt (sqrt 3)) z)
428.0ms
(* (cbrt (sqrt 3)) z)
463.0ms
(* (* (cbrt 3) (cbrt 3)) (* (* (cbrt (sqrt 3)) z) (* (cbrt (sqrt 3)) z)))
426.0ms
(* (* (cbrt (sqrt 3)) z) (* (cbrt (sqrt 3)) z))

simplify830.0ms

Counts
156 → 156

prune311.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes126.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify23.0ms

end0.0ms

sample1.1s

Algorithm
intervals
Results
626.0ms12211×body80valid