Details

sample36.0ms

Algorithm

intervals

Results

13.0ms	242×	body	80	valid
1.0ms	6×	body	1280	valid
1.0ms	6×	body	640	valid
0.0ms	3×	body	320	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	160	valid

simplify447.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	505
7	505
6	504
5	497
4	431
3	212
2	66
1	20
0	8

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-log-exp`
9×	`sum-log`
7×	`*-un-lft-identity`
3×	`distribute-lft-out`
2×	`add-sqr-sqrt` `pow1` `+-commutative` `associate-+r+` `flip3-+` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `flip-+`

Counts

2 → 29

Calls

2 calls:

12.0ms	(+ y (+ y z))
43.0ms	(+ (* x 3) (+ y (+ y z)))

series71.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(+ y (+ y z))
27.0ms	(+ (* x 3) (+ y (+ y z)))

simplify553.0ms

Counts

35 → 35

Iterations

Iter	Nodes
done	5001
2	761
1	182
0	58

prune237.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ x y) y)
0.0b	(+ (+ (+ (+ (+ x y) y) x) z) x)
0.0b	(+ (+ (+ x y) y) x)

rewrite2.5s

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity` `add-log-exp`
24×	`sum-log` `distribute-lft-out`
3×	`add-sqr-sqrt` `pow1` `+-commutative` `associate-+l+` `flip3-+` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `flip-+`

Counts

3 → 53

Calls

3 calls:

48.0ms	(+ (+ x y) y)
2.3s	(+ (+ (+ (+ (+ x y) y) x) z) x)
140.0ms	(+ (+ (+ x y) y) x)

series172.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(+ (+ x y) y)
43.0ms	(+ (+ (+ (+ (+ x y) y) x) z) x)
79.0ms	(+ (+ (+ x y) y) x)

simplify625.0ms

Counts

62 → 62

Iterations

Iter	Nodes
done	5000
2	1092
1	245
0	88

prune307.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ (+ (* x 3) z) (* 2 y)))
0.0b	(+ (* x 3) z)
0.0b	(+ (* x 3) z)
0.3b	(* (sqrt (+ (+ (* x 3) z) (* 2 y))) (sqrt (+ (+ (* x 3) z) (* 2 y))))

rewrite178.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 94

Calls

4 calls:

28.0ms	(sqrt (+ (+ (* x 3) z) (* 2 y)))
6.0ms	(+ (* x 3) z)
6.0ms	(+ (* x 3) z)
133.0ms	(* (sqrt (+ (+ (* x 3) z) (* 2 y))) (sqrt (+ (+ (* x 3) z) (* 2 y))))

series328.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(sqrt (+ (+ (* x 3) z) (* 2 y)))
32.0ms	(+ (* x 3) z)
51.0ms	(+ (* x 3) z)
121.0ms	(* (sqrt (+ (+ (* x 3) z) (* 2 y))) (sqrt (+ (+ (* x 3) z) (* 2 y))))

simplify881.0ms

Counts

106 → 106

Iterations

Iter	Nodes
done	5001
2	1447
1	358
0	138

prune570.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt (+ (* y 2) (+ z (* x 3)))))
0.1b	(sqrt (sqrt (+ (* y 2) (+ z (* x 3)))))
0.3b	(* (sqrt (+ (+ (* x 3) z) (* 2 y))) (* (sqrt (sqrt (+ (* y 2) (+ z (* x 3))))) (sqrt (sqrt (+ (* y 2) (+ z (* x 3)))))))
0.3b	(* (sqrt (sqrt (+ (* y 2) (+ z (* x 3))))) (sqrt (sqrt (+ (* y 2) (+ z (* x 3))))))

rewrite380.0ms

Algorithm

rewrite-expression-head

Rules

122×	`sqrt-div`
90×	`sqrt-prod`
58×	`add-sqr-sqrt`
43×	`sqrt-pow1`
39×	`pow1`
35×	`flip3-+` `flip-+`
32×	`frac-times`
23×	`pow1/2`
22×	`*-un-lft-identity` `add-cube-cbrt`
16×	`associate-*r/`
15×	`swap-sqr` `associate-l`
12×	`pow-prod-down`
11×	`add-cbrt-cube` `add-exp-log` `unswap-sqr`
10×	`associate-r` `associate-*l/`
9×	`pow-prod-up`
5×	`pow-sqr`
4×	`rem-sqrt-square` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`sqrt-unprod`
2×	`*-commutative`
1×	`pow2` `rem-square-sqrt` `pow-plus`

Counts

4 → 177

Calls

4 calls:

19.0ms	(sqrt (sqrt (+ (* y 2) (+ z (* x 3)))))
18.0ms	(sqrt (sqrt (+ (* y 2) (+ z (* x 3)))))
225.0ms	(* (sqrt (+ (+ (* x 3) z) (* 2 y))) (* (sqrt (sqrt (+ (* y 2) (+ z (* x 3))))) (sqrt (sqrt (+ (* y 2) (+ z (* x 3)))))))
108.0ms	(* (sqrt (sqrt (+ (* y 2) (+ z (* x 3))))) (sqrt (sqrt (+ (* y 2) (+ z (* x 3))))))

series1.8s

Counts

4 → 12

Calls

4 calls:

686.0ms	(sqrt (sqrt (+ (* y 2) (+ z (* x 3)))))
716.0ms	(sqrt (sqrt (+ (* y 2) (+ z (* x 3)))))
280.0ms	(* (sqrt (+ (+ (* x 3) z) (* 2 y))) (* (sqrt (sqrt (+ (* y 2) (+ z (* x 3))))) (sqrt (sqrt (+ (* y 2) (+ z (* x 3)))))))
143.0ms	(* (sqrt (sqrt (+ (* y 2) (+ z (* x 3))))) (sqrt (sqrt (+ (* y 2) (+ z (* x 3))))))

simplify1.9s

Counts

189 → 189

Iterations

Iter	Nodes
done	5000
2	3162
1	725
0	276

prune1.1s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes249.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	12
1	12
0	8

end0.0ms

sample842.0ms

Algorithm

intervals

Results

447.0ms	7451×	body	80	valid
45.0ms	58×	body	160	valid
37.0ms	175×	body	1280	valid
28.0ms	174×	body	640	valid
14.0ms	116×	body	320	valid
9.0ms	37×	body	2560	valid