Details

sample26.0ms

Algorithm

intervals

Results

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

simplify4.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite114.0ms

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:

30.0ms	(+ (+ b c) d)
83.0ms	(* a (+ (+ b c) d))

series46.0ms

Counts

2 → 6

Calls

2 calls:

17.0ms	(+ (+ b c) d)
30.0ms	(* a (+ (+ b c) d))

simplify25.0ms

Counts: 45 → 45

prune75.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

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

rewrite279.0ms

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:

31.0ms	(sqrt (+ (+ b c) d))
32.0ms	(sqrt (+ (+ b c) d))
71.0ms	(* a (sqrt (+ (+ b c) d)))
142.0ms	(* (* a (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))

series264.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(sqrt (+ (+ b c) d))
55.0ms	(sqrt (+ (+ b c) d))
83.0ms	(* a (sqrt (+ (+ b c) d)))
74.0ms	(* (* a (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))

simplify39.0ms

Counts: 103 → 103

prune208.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(* a (+ (+ b c) d))
0.1b	(sqrt (* a (+ (+ b c) d)))
0.1b	(sqrt (* a (+ (+ b c) d)))
0.5b	(* (sqrt (* a (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d))))

rewrite271.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`pow-prod-down`
20×	`associate-*r/`
16×	`sqrt-div`
15×	`*-un-lft-identity`
14×	`add-sqr-sqrt`
12×	`pow1/2`
10×	`add-cube-cbrt` `pow-prod-up`
9×	`flip3-+` `associate-r` `flip-+`
8×	`add-exp-log` `add-cbrt-cube`
7×	`associate-l`
6×	`sqrt-prod` `pow-sqr`
4×	`frac-times` `swap-sqr` `add-log-exp`
3×	`distribute-lft-out`
2×	`associate-l/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 107

Calls

4 calls:

75.0ms	(* a (+ (+ b c) d))
19.0ms	(sqrt (* a (+ (+ b c) d)))
20.0ms	(sqrt (* a (+ (+ b c) d)))
152.0ms	(* (sqrt (* a (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d))))

series457.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* a (+ (+ b c) d))
195.0ms	(sqrt (* a (+ (+ b c) d)))
198.0ms	(sqrt (* a (+ (+ b c) d)))
33.0ms	(* (sqrt (* a (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d))))

simplify57.0ms

Counts: 119 → 119

prune222.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite193.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 70

Calls

3 calls:

27.0ms	(+ (+ b c) d)
78.0ms	(* (sqrt a) (+ (+ b c) d))
86.0ms	(* (sqrt a) (* (sqrt a) (+ (+ b c) d)))

series182.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(+ (+ b c) d)
106.0ms	(* (sqrt a) (+ (+ b c) d))
59.0ms	(* (sqrt a) (* (sqrt a) (+ (+ b c) d)))

simplify38.0ms

Counts: 79 → 79

prune145.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes163.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

end0.0ms

sample772.0ms

Algorithm

intervals

Results

227.0ms	8000×	pre	80	true
190.0ms	8000×	body	80	valid