Details

sample34.0ms

Algorithm

intervals

Results

8.0ms	257×	body	80	valid
7.0ms	303×	body	80	nan

simplify11.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	12
1	21	12
2	61	12
3	185	12
4	431	12
5	875	12
6	1528	12
7	1853	12
8	2082	12
9	2098	12
10	2292	12
11	2327	12
12	2386	12
13	2422	12
14	2490	12
15	2494	12
done	2494	12

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
0.1b	(+ (- x (* (+ y 0.5) (log y))) y)
0.1b	(* (+ y 0.5) (log y))

rewrite153.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-log-exp`
16×	`*-un-lft-identity`
11×	`add-sqr-sqrt`
7×	`add-cube-cbrt`
6×	`pow1` `log-prod`
5×	`add-exp-log` `diff-log` `add-cbrt-cube`
4×	`associate-r` `associate-l` `sum-log`
3×	`distribute-rgt-in` `distribute-lft-in` `distribute-lft-out`
2×	`associate-+l-` `sub-neg` `associate-+l+` `flip3-+` `associate-*l/` `flip-+` `distribute-lft-out--`
1×	`+-commutative` `associate--l-` `flip3--` `pow-prod-down` `prod-exp` `associate--l+` `log-pow` `*-commutative` `flip--` `cbrt-unprod` `difference-of-squares` `unswap-sqr`

Counts

3 → 63

Calls

3 calls:

111.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
19.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
21.0ms	(* (+ y 0.5) (log y))

series333.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
49.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
231.0ms	(* (+ y 0.5) (log y))

simplify2.2s

Counts

72 → 72

Iterations

Useful iterations: 3 (1.0s)

Iter	Nodes	Cost
0	148	1008
1	374	941
2	1173	864
3	4990	839
done	5000	839

prune158.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ x (- y (* (+ y 0.5) (log y)))) z)
0.1b	(* (+ y 0.5) (log y))
0.1b	(- y (* (+ y 0.5) (log y)))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
14×	`add-log-exp`
13×	`add-sqr-sqrt`
12×	`log-prod`
9×	`add-cube-cbrt`
6×	`pow1` `distribute-rgt-in` `distribute-lft-in` `associate--r+`
5×	`add-exp-log` `diff-log` `add-cbrt-cube`
4×	`associate-r` `associate-l`
2×	`sub-neg` `flip3--` `associate-*l/` `sum-log` `flip--` `distribute-lft-out` `distribute-lft-out--`
1×	`associate--l-` `associate-+r-` `flip3-+` `pow-prod-down` `prod-exp` `associate--l+` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `difference-of-squares` `unswap-sqr`

Counts

3 → 65

Calls

3 calls:

85.0ms	(- (+ x (- y (* (+ y 0.5) (log y)))) z)
23.0ms	(* (+ y 0.5) (log y))
6.0ms	(- y (* (+ y 0.5) (log y)))

series713.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(- (+ x (- y (* (+ y 0.5) (log y)))) z)
241.0ms	(* (+ y 0.5) (log y))
418.0ms	(- y (* (+ y 0.5) (log y)))

simplify671.0ms

Counts

74 → 74

Iterations

Useful iterations: done (669.0ms)

Iter	Nodes	Cost
0	151	994
1	380	930
2	1245	842
done	5001	821

prune167.0ms

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	(- y (* (+ y 0.5) (log (sqrt y))))
0.1b	(- (- y (* (+ y 0.5) (log (sqrt y)))) (* (log (sqrt y)) (+ y 0.5)))
0.1b	(* (log (sqrt y)) (+ y 0.5))
0.1b	(* (+ y 0.5) (log (sqrt y)))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

24×	`log-prod`
20×	`add-sqr-sqrt` `*-un-lft-identity`
16×	`add-cube-cbrt`
14×	`distribute-rgt-in` `distribute-lft-in` `associate--r+`
12×	`pow1` `sqrt-prod`
11×	`add-log-exp`
10×	`associate-r` `associate-l`
8×	`add-exp-log` `add-cbrt-cube`
6×	`associate-*r/` `log-pow`
4×	`flip3--` `flip3-+` `diff-log` `frac-sub` `flip--` `flip-+`
3×	`sub-neg`
2×	`sqrt-pow1` `pow1/2` `pow-prod-down` `associate-l/` `prod-exp` `associate--l+` `-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`
1×	`associate--l-`

Counts

4 → 108

Calls

4 calls:

7.0ms	(- y (* (+ y 0.5) (log (sqrt y))))
27.0ms	(- (- y (* (+ y 0.5) (log (sqrt y)))) (* (log (sqrt y)) (+ y 0.5)))
24.0ms	(* (log (sqrt y)) (+ y 0.5))
23.0ms	(* (+ y 0.5) (log (sqrt y)))

series499.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(- y (* (+ y 0.5) (log (sqrt y))))
172.0ms	(- (- y (* (+ y 0.5) (log (sqrt y)))) (* (log (sqrt y)) (+ y 0.5)))
87.0ms	(* (log (sqrt y)) (+ y 0.5))
80.0ms	(* (+ y 0.5) (log (sqrt y)))

simplify1.0s

Counts

120 → 120

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	217	2057
1	597	1855
2	2160	1626
done	5001	1580

prune310.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (log (sqrt y)) (+ y 0.5))
0.3b	(+ (* (+ y 0.5) (* 2 (log (cbrt (sqrt y))))) (* (+ y 0.5) (log (cbrt (sqrt y)))))
0.6b	(cbrt (sqrt y))
0.6b	(cbrt (sqrt y))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

54×	`log-prod`
48×	`cbrt-prod`
46×	`distribute-rgt-in` `distribute-lft-in`
36×	`associate-+l+`
30×	`add-sqr-sqrt` `*-un-lft-identity`
28×	`add-cube-cbrt`
24×	`sqrt-prod`
18×	`associate-+r+`
8×	`pow1` `associate-*l/`
6×	`add-exp-log` `flip3-+` `associate-l` `add-cbrt-cube` `flip-+` `add-log-exp`
4×	`associate-r` `frac-add`
3×	`log-pow`
2×	`pow1/3` `associate-*r/` `distribute-lft-out`
1×	`+-commutative` `sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 124

Calls

4 calls:

24.0ms	(* (log (sqrt y)) (+ y 0.5))
38.0ms	(+ (* (+ y 0.5) (* 2 (log (cbrt (sqrt y))))) (* (+ y 0.5) (log (cbrt (sqrt y)))))
1.0ms	(cbrt (sqrt y))
2.0ms	(cbrt (sqrt y))

series967.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(* (log (sqrt y)) (+ y 0.5))
586.0ms	(+ (* (+ y 0.5) (* 2 (log (cbrt (sqrt y))))) (* (+ y 0.5) (log (cbrt (sqrt y)))))
142.0ms	(cbrt (sqrt y))
151.0ms	(cbrt (sqrt y))

simplify1.1s

Counts

136 → 136

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	259	2308
1	779	1822
2	2514	1684
done	5000	1664

prune576.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes99.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify12.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	25
1	30	25
2	38	25
3	42	25
4	46	25
5	52	25
done	52	25

end0.0ms

sample930.0ms

Algorithm

intervals

Results

267.0ms	8034×	body	80	valid
214.0ms	8242×	body	80	nan
0.0ms	3×	body	640	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid