Details

sample42.0ms

Algorithm

intervals

Results

14.0ms	256×	body	80	valid
8.0ms	256×	pre	80	true

simplify3.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite157.0ms

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:

46.0ms	(+ (+ b c) d)
109.0ms	(* a (+ (+ b c) d))

series63.0ms

Counts

2 → 6

Calls

2 calls:

17.0ms	(+ (+ b c) d)
46.0ms	(* a (+ (+ b c) d))

simplify121.0ms

Counts: 45 → 45

prune88.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite45.0ms

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:

25.0ms	(* a (+ b c))
18.0ms	(+ (* a (+ b c)) (* a d))

series98.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(* a (+ b c))
63.0ms	(+ (* a (+ b c)) (* a d))

simplify161.0ms

Counts: 43 → 43

prune144.0ms

Pruning

4 alts after pruning (2 fresh and 2 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))
0.3b	(* (sqrt a) (* (sqrt a) (+ (+ b c) d)))

rewrite247.0ms

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:

28.0ms	(+ (+ b c) d)
109.0ms	(* (sqrt a) (+ (+ b c) d))
108.0ms	(* (sqrt a) (* (sqrt a) (+ (+ b c) d)))

series186.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(+ (+ b c) d)
105.0ms	(* (sqrt a) (+ (+ b c) d))
63.0ms	(* (sqrt a) (* (sqrt a) (+ (+ b c) d)))

simplify35.0ms

Counts: 79 → 79

prune159.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 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))))

rewrite423.0ms

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:

122.0ms	(* a (+ (+ b c) d))
32.0ms	(sqrt (* a (+ (+ b c) d)))
34.0ms	(sqrt (* a (+ (+ b c) d)))
229.0ms	(* (sqrt (* a (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d))))

series669.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* a (+ (+ b c) d))
301.0ms	(sqrt (* a (+ (+ b c) d)))
275.0ms	(sqrt (* a (+ (+ b c) d)))
47.0ms	(* (sqrt (* a (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d))))

simplify51.0ms

Counts: 119 → 119

prune306.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes144.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

end0.0ms

sample1.4s

Algorithm

intervals

Results

600.0ms	8000×	body	80	valid
399.0ms	8000×	pre	80	true