Details

sample38.0ms

Algorithm

intervals

Results

12.0ms	256×	pre	80	true
8.0ms	256×	body	80	valid

simplify40.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	18	7
2	39	7
3	66	7
4	85	7
5	87	7
done	87	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite114.0ms

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:

113.0ms

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

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

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

simplify538.0ms

Counts

27 → 27

Iterations

Useful iterations: done (537.0ms)

Iter	Nodes	Cost
0	52	255
1	165	244
2	736	214
done	5000	212

prune61.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite51.0ms

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:

22.0ms	(* a (+ b c))
28.0ms	(+ (* a (+ b c)) (* a d))

series101.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(* a (+ b c))
55.0ms	(+ (* a (+ b c)) (* a d))

simplify565.0ms

Counts

43 → 43

Iterations

Useful iterations: 2 (164.0ms)

Iter	Nodes	Cost
0	73	417
1	232	357
2	1007	325
done	5000	325

prune137.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+l+`

Counts

2 → 24

Calls

2 calls:

16.0ms	(+ (* b a) (* a c))
57.0ms	(+ (+ (* b a) (* a c)) (* a d))

series101.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(+ (* b a) (* a c))
65.0ms	(+ (+ (* b a) (* a c)) (* a d))

simplify747.0ms

Counts

30 → 30

Iterations

Useful iterations: done (745.0ms)

Iter	Nodes	Cost
0	55	427
1	184	331
2	1018	275
done	5001	271

prune128.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ (+ b c) d))
0.0b	(sqrt (+ (+ b c) d))
0.2b	(* a (sqrt (+ (+ b c) d)))
0.4b	(* (* a (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))

rewrite450.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
21×	`sqrt-prod`
18×	`sqrt-div`
17×	`add-sqr-sqrt`
16×	`associate-r`
13×	`pow1`
12×	`distribute-lft-out`
11×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
10×	`associate-*r/`
9×	`flip3-+` `flip-+`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 91

Calls

4 calls:

60.0ms	(sqrt (+ (+ b c) d))
64.0ms	(sqrt (+ (+ b c) d))
102.0ms	(* a (sqrt (+ (+ b c) d)))
221.0ms	(* (* a (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))

series389.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(sqrt (+ (+ b c) d))
62.0ms	(sqrt (+ (+ b c) d))
139.0ms	(* a (sqrt (+ (+ b c) d)))
116.0ms	(* (* a (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))

simplify1.2s

Counts

103 → 103

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	135	1549
1	362	1243
2	1768	1147
done	5000	1123

prune251.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes255.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	14	11
done	14	11

end0.0ms

sample1.2s

Algorithm

intervals

Results

356.0ms	8000×	pre	80	true
316.0ms	8000×	body	80	valid