Details

sample45.0ms

Algorithm

intervals

Results

14.0ms	36×	body	1280	valid
8.0ms	36×	body	640	valid
8.0ms	167×	body	80	valid
2.0ms	13×	body	320	valid
0.0ms	4×	body	160	valid

simplify6.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	5
1	20	5
2	22	5
3	22	5
done	22	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (sin y))
0.0b	(+ (+ x (sin y)) (* z (cos y)))
0.1b	(* z (cos y))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 43

Calls

3 calls:

6.0ms	(+ x (sin y))
36.0ms	(+ (+ x (sin y)) (* z (cos y)))
9.0ms	(* z (cos y))

series107.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(+ x (sin y))
45.0ms	(+ (+ x (sin y)) (* z (cos y)))
37.0ms	(* z (cos y))

simplify69.0ms

Counts

52 → 52

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	196	244
1	694	228
2	2608	228
3	5001	228
done	5001	228

prune111.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (sin y))
0.0b	(+ (+ x (sin y)) (* (sqrt z) (* (sqrt z) (cos y))))
0.1b	(* (sqrt z) (cos y))
0.2b	(* (sqrt z) (* (sqrt z) (cos y)))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`associate-l`
11×	`pow1` `add-exp-log` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
9×	`add-cube-cbrt`
7×	`sqrt-prod`
4×	`associate-r` `pow-prod-down` `prod-exp` `sum-log` `cbrt-unprod`
2×	`+-commutative` `flip3-+` `*-commutative` `flip-+` `unswap-sqr`
1×	`associate-+l+` `distribute-lft-out`

Counts

4 → 68

Calls

4 calls:

6.0ms	(+ x (sin y))
39.0ms	(+ (+ x (sin y)) (* (sqrt z) (* (sqrt z) (cos y))))
11.0ms	(* (sqrt z) (cos y))
29.0ms	(* (sqrt z) (* (sqrt z) (cos y)))

series183.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+ x (sin y))
51.0ms	(+ (+ x (sin y)) (* (sqrt z) (* (sqrt z) (cos y))))
62.0ms	(* (sqrt z) (cos y))
41.0ms	(* (sqrt z) (* (sqrt z) (cos y)))

simplify39.0ms

Counts

80 → 80

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	325	504
1	1288	420
2	5001	416
done	5001	416

prune185.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt z))
0.1b	(sqrt (sqrt z))
0.2b	(* (sqrt (sqrt z)) (* (sqrt (sqrt z)) (cos y)))
0.2b	(* (sqrt z) (* (sqrt (sqrt z)) (* (sqrt (sqrt z)) (cos y))))

rewrite138.0ms

Algorithm

rewrite-expression-head

Rules

32×	`sqrt-prod`
22×	`pow1`
18×	`add-exp-log` `add-cbrt-cube`
17×	`add-sqr-sqrt`
15×	`associate-l`
13×	`add-cube-cbrt` `*-un-lft-identity`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`sqrt-pow1`
4×	`rem-sqrt-square` `pow1/2` `add-log-exp`
2×	`associate-r` `*-commutative`

Counts

4 → 86

Calls

4 calls:

2.0ms	(sqrt (sqrt z))
2.0ms	(sqrt (sqrt z))
36.0ms	(* (sqrt (sqrt z)) (* (sqrt (sqrt z)) (cos y)))
95.0ms	(* (sqrt z) (* (sqrt (sqrt z)) (* (sqrt (sqrt z)) (cos y))))

series366.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(sqrt (sqrt z))
128.0ms	(sqrt (sqrt z))
62.0ms	(* (sqrt (sqrt z)) (* (sqrt (sqrt z)) (cos y)))
43.0ms	(* (sqrt z) (* (sqrt (sqrt z)) (* (sqrt (sqrt z)) (cos y))))

simplify37.0ms

Counts

98 → 98

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	305	616
1	1167	484
2	5002	443
done	5002	443

prune257.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

11.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series735.0ms

Counts

4 → 12

Calls

4 calls:

199.0ms	(* (cbrt z) (cbrt z))
177.0ms	(cbrt z)
183.0ms	(cbrt z)
176.0ms	(cbrt z)

simplify85.0ms

Counts

85 → 85

Iterations

Useful iterations: 3 (81.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235
done	5003	235

prune358.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes111.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5
done	11	5

end0.0ms

sample1.2s

Algorithm

intervals

Results

373.0ms	945×	body	1280	valid
285.0ms	5612×	body	80	valid
201.0ms	818×	body	640	valid
67.0ms	422×	body	320	valid
23.0ms	203×	body	160	valid