Details

sample26.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
6.0ms	256×	pre	80	true

simplify17.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	7
1	18	7
2	37	7
3	54	7
done	54	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(* a (+ (+ b c) d))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 24

Calls

1 calls:

39.0ms

(* a (+ (+ b c) d))

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

(* a (+ (+ b c) d))

simplify889.0ms

Counts

27 → 27

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	52	255
1	144	240
2	483	212
3	2055	212
done	5000	212

prune53.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* a (+ b c))
0.1b	(+ (* a (+ b c)) (* a d))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 37

Calls

2 calls:

9.0ms	(* a (+ b c))
5.0ms	(+ (* a (+ b c)) (* a d))

series62.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(* a (+ b c))
37.0ms	(+ (* a (+ b c)) (* a d))

simplify1.2s

Counts

43 → 43

Iterations

Useful iterations: 3 (265.0ms)

Iter	Nodes	Cost
0	73	417
1	212	351
2	676	325
3	2509	323
done	5000	323

prune261.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ (+ b c) d))
0.4b	(* (sqrt a) (sqrt (+ (+ b c) d)))
0.4b	(* (sqrt a) (sqrt (+ (+ b c) d)))
0.5b	(* (* (sqrt a) (sqrt (+ (+ b c) d))) (* (sqrt a) (sqrt (+ (+ b c) d))))

rewrite184.0ms

Algorithm

rewrite-expression-head

Rules

68×	`pow1`
41×	`pow-prod-down`
30×	`add-sqr-sqrt`
29×	`sqrt-prod`
28×	`*-un-lft-identity`
21×	`sqrt-pow1` `pow1/2`
20×	`add-exp-log` `add-cbrt-cube`
18×	`sqrt-div` `associate-*r/`
17×	`associate-r`
13×	`add-cube-cbrt` `associate-l`
10×	`prod-exp` `cbrt-unprod`
9×	`flip3-+` `flip-+` `distribute-lft-out`
8×	`pow-prod-up` `unswap-sqr`
7×	`sqrt-unprod`
6×	`pow-sqr`
4×	`frac-times` `add-log-exp`
3×	`*-commutative`
2×	`pow-plus` `associate-*l/`
1×	`pow2` `rem-sqrt-square` `swap-sqr` `rem-square-sqrt`

Counts

4 → 137

Calls

4 calls:

16.0ms	(sqrt (+ (+ b c) d))
37.0ms	(* (sqrt a) (sqrt (+ (+ b c) d)))
39.0ms	(* (sqrt a) (sqrt (+ (+ b c) d)))
87.0ms	(* (* (sqrt a) (sqrt (+ (+ b c) d))) (* (sqrt a) (sqrt (+ (+ b c) d))))

series447.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(sqrt (+ (+ b c) d))
171.0ms	(* (sqrt a) (sqrt (+ (+ b c) d)))
170.0ms	(* (sqrt a) (sqrt (+ (+ b c) d)))
55.0ms	(* (* (sqrt a) (sqrt (+ (+ b c) d))) (* (sqrt a) (sqrt (+ (+ b c) d))))

simplify632.0ms

Counts

149 → 149

Iterations

Useful iterations: done (629.0ms)

Iter	Nodes	Cost
0	162	2281
1	418	1721
2	1343	1507
done	5000	1468

prune262.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (sqrt a) (sqrt (+ (+ b c) d)))
0.4b	(* (sqrt a) (sqrt (+ (+ b c) d)))
0.5b	(* (* (sqrt a) (sqrt (+ (+ b c) d))) (* (sqrt (* (sqrt a) (sqrt (+ (+ b c) d)))) (sqrt (* (sqrt a) (sqrt (+ (+ b c) d))))))
0.5b	(* (sqrt (* (sqrt a) (sqrt (+ (+ b c) d)))) (sqrt (* (sqrt a) (sqrt (+ (+ b c) d)))))

rewrite487.0ms

Algorithm

rewrite-expression-head

Rules

247×	`pow1`
180×	`sqrt-pow1`
141×	`pow-prod-down`
118×	`sqrt-div`
86×	`pow1/2` `associate-*r/`
80×	`pow-prod-up`
35×	`flip3-+` `flip-+`
34×	`add-sqr-sqrt`
32×	`frac-times`
28×	`sqrt-prod`
26×	`*-un-lft-identity`
22×	`add-exp-log` `pow-sqr` `add-cbrt-cube`
21×	`associate-r`
17×	`associate-l`
16×	`add-cube-cbrt`
11×	`prod-exp` `cbrt-unprod`
10×	`associate-*l/`
9×	`unswap-sqr`
6×	`sqrt-unprod` `distribute-lft-out`
4×	`swap-sqr` `*-commutative` `add-log-exp`
1×	`pow2` `pow-plus` `rem-square-sqrt`

Counts

4 → 227

Calls

4 calls:

36.0ms	(* (sqrt a) (sqrt (+ (+ b c) d)))
38.0ms	(* (sqrt a) (sqrt (+ (+ b c) d)))
304.0ms	(* (* (sqrt a) (sqrt (+ (+ b c) d))) (* (sqrt (* (sqrt a) (sqrt (+ (+ b c) d)))) (sqrt (* (sqrt a) (sqrt (+ (+ b c) d))))))
91.0ms	(* (sqrt (* (sqrt a) (sqrt (+ (+ b c) d)))) (sqrt (* (sqrt a) (sqrt (+ (+ b c) d)))))

series563.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(* (sqrt a) (sqrt (+ (+ b c) d)))
170.0ms	(* (sqrt a) (sqrt (+ (+ b c) d)))
50.0ms	(* (* (sqrt a) (sqrt (+ (+ b c) d))) (* (sqrt (* (sqrt a) (sqrt (+ (+ b c) d)))) (sqrt (* (sqrt a) (sqrt (+ (+ b c) d))))))
171.0ms	(* (sqrt (* (sqrt a) (sqrt (+ (+ b c) d)))) (sqrt (* (sqrt a) (sqrt (+ (+ b c) d)))))

simplify779.0ms

Counts

239 → 239

Iterations

Useful iterations: done (772.0ms)

Iter	Nodes	Cost
0	249	5485
1	652	3520
2	2113	3190
done	5000	3172

prune445.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes132.0ms

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	7	7
1	10	7
done	10	7

end0.0ms

sample507.0ms

Algorithm

intervals

Results

171.0ms	8000×	pre	80	true
149.0ms	8000×	body	80	valid