Details

Time bar (total: 8.9s)

sample24.0ms

Algorithm
intervals
Results
10.0ms349×body80valid

simplify8.0ms

Counts
1 → 1
Iterations
IterNodes
done20
220
114
06

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.3b

localize11.0ms

Local error

Found 1 expressions with local error:

4.0b
(* x (+ 1.0 (* y y)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 *-un-lft-identity add-cbrt-cube associate-*r* associate-*l* add-exp-log add-cube-cbrt
2×associate-*r/
1×distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ add-log-exp unswap-sqr
Counts
1 → 22
Calls
1 calls:
13.0ms
(* x (+ 1.0 (* y y)))

series59.0ms

Counts
1 → 3
Calls
1 calls:
59.0ms
(* x (+ 1.0 (* y y)))

simplify1.9s

Counts
25 → 25
Iterations
IterNodes
done5015
32891
2564
1149
050

prune121.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 4.2b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(* x (sqrt (+ 1.0 (* y y))))
0.1b
(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
4.0b
(sqrt (+ 1.0 (* y y)))
4.0b
(sqrt (+ 1.0 (* y y)))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
18×sqrt-div
17×add-sqr-sqrt
13×pow1 sqrt-prod
12×associate-*r*
11×*-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
10×associate-*r/
9×flip3-+ flip-+
4×frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ *-commutative unswap-sqr
Counts
4 → 83
Calls
4 calls:
21.0ms
(* x (sqrt (+ 1.0 (* y y))))
53.0ms
(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
6.0ms
(sqrt (+ 1.0 (* y y)))
6.0ms
(sqrt (+ 1.0 (* y y)))

series242.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(* x (sqrt (+ 1.0 (* y y))))
65.0ms
(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
52.0ms
(sqrt (+ 1.0 (* y y)))
57.0ms
(sqrt (+ 1.0 (* y y)))

simplify1.6s

Counts
95 → 95
Iterations
IterNodes
done5005
33147
2959
1310
0122

prune317.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 4.2b

localize3.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune6.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 4.2b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (sqrt x) (sqrt (+ 1.0 (* y y))))
0.3b
(* (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (* (sqrt x) (sqrt (+ 1.0 (* y y)))))
4.0b
(sqrt (+ 1.0 (* y y)))
4.0b
(sqrt (+ 1.0 (* y y)))

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
65×pow1
38×pow-prod-down
20×add-sqr-sqrt sqrt-pow1 pow1/2
18×add-cbrt-cube sqrt-div add-exp-log
16×associate-*r/ sqrt-prod
10×*-un-lft-identity add-cube-cbrt
9×flip3-+ prod-exp cbrt-unprod flip-+
8×pow-prod-up
7×associate-*r* associate-*l*
6×sqrt-unprod pow-sqr
4×frac-times add-log-exp unswap-sqr
2×rem-sqrt-square pow-plus associate-*l/ *-commutative
1×pow2 rem-square-sqrt swap-sqr
Counts
4 → 114
Calls
4 calls:
19.0ms
(* (sqrt x) (sqrt (+ 1.0 (* y y))))
86.0ms
(* (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (* (sqrt x) (sqrt (+ 1.0 (* y y)))))
4.0ms
(sqrt (+ 1.0 (* y y)))
5.0ms
(sqrt (+ 1.0 (* y y)))

series429.0ms

Counts
4 → 12
Calls
4 calls:
268.0ms
(* (sqrt x) (sqrt (+ 1.0 (* y y))))
62.0ms
(* (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (* (sqrt x) (sqrt (+ 1.0 (* y y)))))
46.0ms
(sqrt (+ 1.0 (* y y)))
53.0ms
(sqrt (+ 1.0 (* y y)))

simplify2.3s

Counts
126 → 126
Iterations
IterNodes
done5086
34303
21307
1447
0170

prune440.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 4.2b

regimes202.0ms

Accuracy

0% (0.2b remaining)

Error of 5.4b against oracle of 5.3b and baseline of 5.4b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done8
18
06

end0.0ms

sample1.1s

Algorithm
intervals
Results
809.0ms10650×body80valid