Details

sample35.0ms

Algorithm

intervals

Results

17.0ms

482×

body

valid

simplify44.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	45
5	45
4	42
3	35
2	23
1	13
0	7

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 30

Calls

2 calls:

13.0ms	(+ (* 3 (* y y)) (* x x))
13.0ms	(* 3 (* y y))

series95.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(+ (* 3 (* y y)) (* x x))
41.0ms	(* 3 (* y y))

simplify2.3s

Counts

36 → 36

Iterations

Iter	Nodes
done	5000
3	3336
2	624
1	176
0	57

prune152.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-cbrt-cube` `add-exp-log`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
1×	`+-commutative` `sum-log` `flip3-+` `associate-l` `*-commutative` `flip-+`

Counts

2 → 29

Calls

2 calls:

13.0ms	(+ (* (* 3 y) y) (* x x))
24.0ms	(* (* 3 y) y)

series82.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(+ (* (* 3 y) y) (* x x))
35.0ms	(* (* 3 y) y)

simplify2.3s

Counts

35 → 35

Iterations

Iter	Nodes
done	5033
3	2849
2	654
1	179
0	59

prune127.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ (* x x) (* y y)) (* y y))
0.0b	(+ (* x x) (* y y))
0.1b	(+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))

rewrite485.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
10×	`sum-log`
3×	`add-sqr-sqrt` `pow1` `+-commutative` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `flip-+`
2×	`associate-+l+`

Counts

3 → 38

Calls

3 calls:

42.0ms	(+ (+ (* x x) (* y y)) (* y y))
11.0ms	(+ (* x x) (* y y))
431.0ms	(+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))

series157.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(+ (+ (* x x) (* y y)) (* y y))
45.0ms	(+ (* x x) (* y y))
65.0ms	(+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))

simplify1.2s

Counts

47 → 47

Iterations

Iter	Nodes
done	5000
2	919
1	227
0	70

prune257.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y))
0.2b	(* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))))
6.3b	(sqrt (+ (+ (* x x) (* y y)) (* y y)))
6.3b	(sqrt (+ (+ (* x x) (* y y)) (* y y)))

rewrite286.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`*-un-lft-identity` `add-cube-cbrt`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+`
8×	`swap-sqr`
6×	`add-cbrt-cube` `associate-r` `associate-l` `add-exp-log` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-l/` `associate-r/`
1×	`pow2` `+-commutative` `sum-log` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 98

Calls

4 calls:

59.0ms	(+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y))
156.0ms	(* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))))
26.0ms	(sqrt (+ (+ (* x x) (* y y)) (* y y)))
43.0ms	(sqrt (+ (+ (* x x) (* y y)) (* y y)))

series270.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y))
69.0ms	(* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))))
71.0ms	(sqrt (+ (+ (* x x) (* y y)) (* y y)))
68.0ms	(sqrt (+ (+ (* x x) (* y y)) (* y y)))

simplify3.6s

Counts

110 → 110

Iterations

Iter	Nodes
done	5004
3	4498
2	830
1	269
0	109

prune505.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes424.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	10
1	10
0	7

end0.0ms

sample1.3s

Algorithm

intervals

Results

927.0ms

14242×

body

valid