Details

sample22.0ms

Algorithm

intervals

Results

5.0ms	256×	pre	80	true
4.0ms	256×	body	80	valid

simplify8.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	3
1	39	3
2	65	3
3	70	3
4	70	3
done	70	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite96.0ms

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:

25.0ms	(+ (+ b c) d)
70.0ms	(* a (+ (+ b c) d))

series47.0ms

Counts

2 → 6

Calls

2 calls:

16.0ms	(+ (+ b c) d)
30.0ms	(* a (+ (+ b c) d))

simplify28.0ms

Counts

45 → 45

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	177	179
1	861	160
2	5001	160
done	5001	160

prune68.0ms

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

rewrite33.0ms

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:

12.0ms	(+ (* a (+ b c)) (* a d))
20.0ms	(* a (+ b c))

series61.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(+ (* a (+ b c)) (* a d))
26.0ms	(* a (+ b c))

simplify36.0ms

Counts

43 → 43

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	213	177
1	995	159
2	5001	156
done	5001	156

prune71.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

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:

20.0ms	(* a (+ c d))
8.0ms	(+ (* a b) (* a (+ c d)))

series62.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(* a (+ c d))
35.0ms	(+ (* a b) (* a (+ c d)))

simplify34.0ms

Counts

43 → 43

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	214	178
1	982	158
2	5002	156
done	5002	156

prune76.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ b c))
0.0b	(+ (* (* a (sqrt (+ b c))) (sqrt (+ b c))) (* a d))
0.2b	(* a (sqrt (+ b c)))
0.3b	(* (* a (sqrt (+ b c))) (sqrt (+ b c)))

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 82

Calls

4 calls:

6.0ms	(sqrt (+ b c))
42.0ms	(+ (* (* a (sqrt (+ b c))) (sqrt (+ b c))) (* a d))
21.0ms	(* a (sqrt (+ b c)))
48.0ms	(* (* a (sqrt (+ b c))) (sqrt (+ b c)))

series211.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(sqrt (+ b c))
66.0ms	(+ (* (* a (sqrt (+ b c))) (sqrt (+ b c))) (* a d))
60.0ms	(* a (sqrt (+ b c)))
50.0ms	(* (* a (sqrt (+ b c))) (sqrt (+ b c)))

simplify57.0ms

Counts

94 → 94

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	437	646
1	1933	533
2	5001	513
done	5001	513

prune184.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes115.0ms

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	10	3
1	10	3
done	10	3

end0.0ms

sample570.0ms

Algorithm

intervals

Results

178.0ms	8000×	pre	80	true
128.0ms	8000×	body	80	valid