Details

Time bar (total: 3.6s)

sample19.0ms

Algorithm
intervals
Results
8.0ms348×body80valid

simplify3.0ms

Counts
1 → 1

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.3b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
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:
21.0ms
(* x (+ 1.0 (* y y)))

series59.0ms

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

simplify73.0ms

Counts
25 → 25

prune44.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 4.2b

localize9.0ms

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)))

rewrite127.0ms

Algorithm
rewrite-expression-head
Rules
18×sqrt-div
17×add-sqr-sqrt
13×pow1 sqrt-prod
12×associate-*r*
11×add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
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:
33.0ms
(* x (sqrt (+ 1.0 (* y y))))
79.0ms
(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
5.0ms
(sqrt (+ 1.0 (* y y)))
5.0ms
(sqrt (+ 1.0 (* y y)))

series227.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(* x (sqrt (+ 1.0 (* y y))))
57.0ms
(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
43.0ms
(sqrt (+ 1.0 (* y y)))
58.0ms
(sqrt (+ 1.0 (* y y)))

simplify44.0ms

Counts
95 → 95

prune213.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 4.2b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))
4.2b
(cbrt (+ 1.0 (* y y)))
4.2b
(cbrt (+ 1.0 (* y y)))
4.2b
(cbrt (+ 1.0 (* y y)))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
10×associate-*r/
9×pow1 add-exp-log cbrt-prod add-sqr-sqrt flip3-+ flip-+
8×add-cube-cbrt *-un-lft-identity
7×add-cbrt-cube
4×frac-times add-log-exp
3×pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod
2×associate-*l/
1×associate-*r* *-commutative unswap-sqr
Counts
4 → 66
Calls
4 calls:
46.0ms
(* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))
3.0ms
(cbrt (+ 1.0 (* y y)))
3.0ms
(cbrt (+ 1.0 (* y y)))
3.0ms
(cbrt (+ 1.0 (* y y)))

series699.0ms

Counts
4 → 12
Calls
4 calls:
155.0ms
(* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))
178.0ms
(cbrt (+ 1.0 (* y y)))
180.0ms
(cbrt (+ 1.0 (* y y)))
185.0ms
(cbrt (+ 1.0 (* y y)))

simplify101.0ms

Counts
78 → 78

prune233.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 4.2b

localize16.0ms

Local error

Found 4 expressions with local error:

4.0b
(sqrt (+ 1.0 (* y y)))
4.0b
(sqrt (+ 1.0 (* y y)))
4.2b
(cbrt (+ 1.0 (* y y)))
4.2b
(cbrt (+ 1.0 (* y y)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
6×pow1 cbrt-prod sqrt-prod
4×add-exp-log cbrt-div flip3-+ sqrt-div add-cbrt-cube flip-+ add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 pow1/3
Counts
4 → 56
Calls
4 calls:
6.0ms
(sqrt (+ 1.0 (* y y)))
5.0ms
(sqrt (+ 1.0 (* y y)))
3.0ms
(cbrt (+ 1.0 (* y y)))
3.0ms
(cbrt (+ 1.0 (* y y)))

series490.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(sqrt (+ 1.0 (* y y)))
52.0ms
(sqrt (+ 1.0 (* y y)))
200.0ms
(cbrt (+ 1.0 (* y y)))
190.0ms
(cbrt (+ 1.0 (* y y)))

simplify113.0ms

Counts
68 → 68

prune270.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 4.2b

regimes100.0ms

Accuracy

0% (0.2b remaining)

Error of 5.7b against oracle of 5.5b and baseline of 5.7b

bsearch0.0ms

simplify1.0ms

end0.0ms

sample638.0ms

Algorithm
intervals
Results
292.0ms10714×body80valid