Details

sample22.0ms

Algorithm

intervals

Results

6.0ms	256×	pre	80	true
5.0ms	256×	body	80	valid

simplify30.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	7
1	18	7
2	38	7
3	57	7
4	58	7
done	58	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 39

Calls

2 calls:

14.0ms	(+ (+ b c) d)
40.0ms	(* a (+ (+ b c) d))

series41.0ms

Counts

2 → 6

Calls

2 calls:

15.0ms	(+ (+ b c) d)
26.0ms	(* a (+ (+ b c) d))

simplify1.7s

Counts

45 → 45

Iterations

Useful iterations: 3 (313.0ms)

Iter	Nodes	Cost
0	66	400
1	177	380
2	732	342
3	3258	340
done	5000	340

prune85.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

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:

10.0ms	(* a (+ b c))
5.0ms	(+ (* a (+ b c)) (* a d))

series57.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(* a (+ b c))
33.0ms	(+ (* a (+ b c)) (* a d))

simplify2.4s

Counts

43 → 43

Iterations

Useful iterations: 3 (417.0ms)

Iter	Nodes	Cost
0	73	417
1	222	351
2	858	325
3	3845	323
done	5000	323

prune83.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

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-+r+` `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:

3.0ms	(+ (* a b) (* a (+ c d)))
10.0ms	(* a (+ c d))

series62.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(+ (* a b) (* a (+ c d)))
28.0ms	(* a (+ c d))

simplify2.3s

Counts

43 → 43

Iterations

Useful iterations: 3 (391.0ms)

Iter	Nodes	Cost
0	72	417
1	214	353
2	835	323
3	3759	321
done	5000	321

prune87.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (sqrt a) (* (sqrt a) (+ b c))) (* a d))
0.3b	(* (sqrt a) (+ b c))
0.4b	(* (sqrt a) (* (sqrt a) (+ b c)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 69

Calls

3 calls:

16.0ms	(+ (* (sqrt a) (* (sqrt a) (+ b c))) (* a d))
12.0ms	(* (sqrt a) (+ b c))
17.0ms	(* (sqrt a) (* (sqrt a) (+ b c)))

series188.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(+ (* (sqrt a) (* (sqrt a) (+ b c))) (* a d))
77.0ms	(* (sqrt a) (+ b c))
43.0ms	(* (sqrt a) (* (sqrt a) (+ b c)))

simplify653.0ms

Counts

78 → 78

Iterations

Useful iterations: done (651.0ms)

Iter	Nodes	Cost
0	127	988
1	365	730
2	1486	622
done	5000	618

prune152.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes101.0ms

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	8	9
1	12	9
done	12	9

end0.0ms

sample528.0ms

Algorithm

intervals

Results

184.0ms	8000×	pre	80	true
148.0ms	8000×	body	80	valid