Details

Time bar (total: 13.4s)

sample33.0ms

Algorithm
intervals
Results
20.0ms426×body80valid

simplify3.9s

Counts
1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite53.0ms

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

series80.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(+ (* 3 (* y y)) (* x x))
39.0ms
(* 3 (* y y))

simplify1.1s

Counts
36 → 36

prune108.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite62.0ms

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:
20.0ms
(+ (* (* 3 y) y) (* x x))
41.0ms
(* (* 3 y) y)

series97.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(+ (* (* 3 y) y) (* x x))
36.0ms
(* (* 3 y) y)

simplify1.8s

Counts
35 → 35

prune73.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

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))

rewrite201.0ms

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:
81.0ms
(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))
85.0ms
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
32.0ms
(* (cbrt 3) (* y y))

series311.0ms

Counts
3 → 9
Calls
3 calls:
107.0ms
(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))
136.0ms
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
68.0ms
(* (cbrt 3) (* y y))

simplify668.0ms

Counts
71 → 71

prune165.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite278.0ms

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:
22.0ms
(* (cbrt (sqrt 3)) y)
21.0ms
(* (cbrt (sqrt 3)) y)
143.0ms
(* (* (cbrt 3) (cbrt 3)) (* (* (cbrt (sqrt 3)) y) (* (cbrt (sqrt 3)) y)))
79.0ms
(* (* (cbrt (sqrt 3)) y) (* (cbrt (sqrt 3)) y))

series1.9s

Counts
4 → 12
Calls
4 calls:
455.0ms
(* (cbrt (sqrt 3)) y)
362.0ms
(* (cbrt (sqrt 3)) y)
462.0ms
(* (* (cbrt 3) (cbrt 3)) (* (* (cbrt (sqrt 3)) y) (* (cbrt (sqrt 3)) y)))
657.0ms
(* (* (cbrt (sqrt 3)) y) (* (cbrt (sqrt 3)) y))

simplify892.0ms

Counts
156 → 156

prune323.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes83.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify25.0ms

end0.0ms

sample1.2s

Algorithm
intervals
Results
777.0ms14129×body80valid