Details

sample32.0ms

Algorithm

intervals

Results

13.0ms

343×

body

valid

simplify21.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	14	7
2	20	7
3	22	7
done	22	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.1b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 1.0 (* y y))
4.8b	(* x (+ 1.0 (* y y)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`associate-r` `associate-l`
2×	`flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 33

Calls

2 calls:

18.0ms	(+ 1.0 (* y y))
30.0ms	(* x (+ 1.0 (* y y)))

series93.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(+ 1.0 (* y y))
56.0ms	(* x (+ 1.0 (* y y)))

simplify1.9s

Counts

39 → 39

Iterations

Useful iterations: 3 (435.0ms)

Iter	Nodes	Cost
0	59	371
1	165	359
2	499	309
3	1609	307
done	5000	307

prune104.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 4.9b

localize12.0ms

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))))
4.7b	(sqrt (+ 1.0 (* y y)))
4.7b	(sqrt (+ 1.0 (* y y)))

rewrite86.0ms

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:

22.0ms	(* x (sqrt (+ 1.0 (* y y))))
49.0ms	(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
5.0ms	(sqrt (+ 1.0 (* y y)))
7.0ms	(sqrt (+ 1.0 (* y y)))

series211.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* x (sqrt (+ 1.0 (* y y))))
57.0ms	(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
46.0ms	(sqrt (+ 1.0 (* y y)))
45.0ms	(sqrt (+ 1.0 (* y y)))

simplify2.0s

Counts

95 → 95

Iterations

Useful iterations: 3 (911.0ms)

Iter	Nodes	Cost
0	122	1468
1	303	1152
2	835	1012
3	2746	1002
done	5002	1002

prune245.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 4.9b

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))
4.7b	(sqrt (+ 1.0 (* y y)))
4.7b	(sqrt (+ 1.0 (* y y)))
4.7b	(sqrt (+ 1.0 (* y y)))

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

30×	`sqrt-div`
18×	`sqrt-prod`
13×	`add-sqr-sqrt`
12×	`pow1`
10×	`add-cube-cbrt` `*-un-lft-identity`
9×	`add-exp-log` `flip3-+` `associate-r` `add-cbrt-cube` `flip-+`
8×	`associate-*r/`
4×	`frac-times` `add-log-exp`
3×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-*l/`
1×	`associate-l` `*-commutative`

Counts

4 → 77

Calls

4 calls:

98.0ms	(* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))
8.0ms	(sqrt (+ 1.0 (* y y)))
6.0ms	(sqrt (+ 1.0 (* y y)))
6.0ms	(sqrt (+ 1.0 (* y y)))

series269.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))
53.0ms	(sqrt (+ 1.0 (* y y)))
51.0ms	(sqrt (+ 1.0 (* y y)))
65.0ms	(sqrt (+ 1.0 (* y y)))

simplify2.2s

Counts

89 → 89

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	120	1511
1	295	1169
2	811	1027
3	2058	1015
done	5001	1002

prune387.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 4.9b

localize32.0ms

Local error

Found 4 expressions with local error:

4.7b	(sqrt (+ 1.0 (* y y)))
4.7b	(sqrt (+ 1.0 (* y y)))
4.9b	(cbrt (+ 1.0 (* y y)))
4.9b	(cbrt (+ 1.0 (* y y)))

rewrite30.0ms

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:

9.0ms	(sqrt (+ 1.0 (* y y)))
9.0ms	(sqrt (+ 1.0 (* y y)))
5.0ms	(cbrt (+ 1.0 (* y y)))
5.0ms	(cbrt (+ 1.0 (* y y)))

series622.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(sqrt (+ 1.0 (* y y)))
61.0ms	(sqrt (+ 1.0 (* y y)))
241.0ms	(cbrt (+ 1.0 (* y y)))
264.0ms	(cbrt (+ 1.0 (* y y)))

simplify1.6s

Counts

68 → 68

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	105	920
1	237	834
2	650	776
3	2159	754
done	5000	748

prune468.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 4.9b

regimes144.0ms

Accuracy

0% (0.2b remaining)

Error of 5.8b against oracle of 5.6b and baseline of 5.8b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	8	7
done	8	7

end0.0ms

sample749.0ms

Algorithm

intervals

Results

348.0ms

10573×

body

valid