Details

sample27.0ms

Algorithm

intervals

Results

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

simplify8.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.7b

localize15.0ms

Local error

Found 2 expressions with local error:

0.5b	(+ b (+ c d))
2.8b	(+ a (+ b (+ c d)))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity` `add-log-exp`
9×	`sum-log` `distribute-lft-out`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r+` `flip3-+` `add-cbrt-cube` `flip-+`

Counts

2 → 32

Calls

2 calls:

20.0ms	(+ b (+ c d))
44.0ms	(+ a (+ b (+ c d)))

series51.0ms

Counts

2 → 6

Calls

2 calls:

17.0ms	(+ b (+ c d))
34.0ms	(+ a (+ b (+ c d)))

simplify74.0ms

Counts: 38 → 38

prune74.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 2.4b

localize11.0ms

Local error

Found 1 expressions with local error:

2.8b	(+ a (+ (+ b c) d))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-un-lft-identity` `add-log-exp`
6×	`sum-log` `distribute-lft-out`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r+` `flip3-+` `add-cbrt-cube` `flip-+`

Counts

1 → 17

Calls

1 calls:

66.0ms

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

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

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

simplify56.0ms

Counts: 20 → 20

prune51.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 2.1b

localize11.0ms

Local error

Found 2 expressions with local error:

0.6b	(cbrt (pow (+ a (+ (+ b c) d)) 3))
2.8b	(+ a (+ (+ b c) d))

rewrite171.0ms

Algorithm

rewrite-expression-head

Rules

32×	`*-un-lft-identity`
18×	`cbrt-prod` `distribute-lft-out`
11×	`add-log-exp`
6×	`unpow-prod-down` `cube-prod` `sum-log`
5×	`add-sqr-sqrt` `add-cube-cbrt`
2×	`pow1` `add-exp-log` `cube-div` `cbrt-div` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`+-commutative` `cube-mult` `associate-+r+` `pow1/3` `unpow3` `rem-cbrt-cube` `sqr-pow`

Counts

2 → 46

Calls

2 calls:

100.0ms	(cbrt (pow (+ a (+ (+ b c) d)) 3))
69.0ms	(+ a (+ (+ b c) d))

series100.0ms

Counts

2 → 6

Calls

2 calls:

65.0ms	(cbrt (pow (+ a (+ (+ b c) d)) 3))
35.0ms	(+ a (+ (+ b c) d))

simplify27.0ms

Counts: 52 → 52

prune115.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 2.1b

localize14.0ms

Local error

Found 3 expressions with local error:

0.6b	(cbrt (pow (+ a (+ (+ b c) d)) 3))
0.6b	(cbrt (pow (cbrt (pow (+ a (+ (+ b c) d)) 3)) 3))
2.8b	(+ a (+ (+ b c) d))

rewrite376.0ms

Algorithm

rewrite-expression-head

Rules

102×	`cbrt-prod`
78×	`*-un-lft-identity`
42×	`distribute-lft-out`
39×	`unpow-prod-down` `cube-prod`
15×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`add-log-exp`
6×	`cube-div` `cbrt-div` `sum-log`
4×	`cube-mult` `unpow3` `sqr-pow`
3×	`pow1` `add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+`
2×	`pow1/3` `rem-cbrt-cube`
1×	`+-commutative` `associate-+r+`

Counts

3 → 105

Calls

3 calls:

99.0ms	(cbrt (pow (+ a (+ (+ b c) d)) 3))
202.0ms	(cbrt (pow (cbrt (pow (+ a (+ (+ b c) d)) 3)) 3))
70.0ms	(+ a (+ (+ b c) d))

series155.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(cbrt (pow (+ a (+ (+ b c) d)) 3))
62.0ms	(cbrt (pow (cbrt (pow (+ a (+ (+ b c) d)) 3)) 3))
34.0ms	(+ a (+ (+ b c) d))

simplify37.0ms

Counts: 114 → 114

prune121.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 2.0b

regimes428.0ms

Accuracy

0% (0.8b remaining)

Error of 2.8b against oracle of 2.0b and baseline of 2.8b

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.1s

Algorithm

intervals

Results

230.0ms	8000×	body	80	valid
203.0ms	8000×	pre	80	true