Details

sample33.0ms

Algorithm

intervals

Results

9.0ms	256×	pre	80	true
6.0ms	256×	body	80	valid

simplify7.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.7b

localize7.0ms

Local error

Found 2 expressions with local error:

0.4b	(+ b (+ c d))
2.8b	(+ a (+ b (+ c d)))

rewrite69.0ms

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:

15.0ms	(+ b (+ c d))
52.0ms	(+ a (+ b (+ c d)))

series65.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(+ b (+ c d))
42.0ms	(+ a (+ b (+ c d)))

simplify97.0ms

Counts: 38 → 38

prune110.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.3b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite87.0ms

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:

86.0ms

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

series46.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

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

simplify65.0ms

Counts: 20 → 20

prune76.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 2.0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite262.0ms

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:

160.0ms	(cbrt (pow (+ a (+ (+ b c) d)) 3))
98.0ms	(+ a (+ (+ b c) d))

series109.0ms

Counts

2 → 6

Calls

2 calls:

61.0ms	(cbrt (pow (+ a (+ (+ b c) d)) 3))
48.0ms	(+ a (+ (+ b c) d))

simplify26.0ms

Counts: 52 → 52

prune152.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 2.0b

localize27.0ms

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))

rewrite500.0ms

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:

135.0ms	(cbrt (pow (+ a (+ (+ b c) d)) 3))
283.0ms	(cbrt (pow (cbrt (pow (+ a (+ (+ b c) d)) 3)) 3))
76.0ms	(+ a (+ (+ b c) d))

series162.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(cbrt (pow (+ a (+ (+ b c) d)) 3))
62.0ms	(cbrt (pow (cbrt (pow (+ a (+ (+ b c) d)) 3)) 3))
40.0ms	(+ a (+ (+ b c) d))

simplify29.0ms

Counts: 114 → 114

prune121.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 1.9b

regimes443.0ms

Accuracy

0% (0.8b remaining)

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

bsearch0.0ms

simplify7.0ms

end0.0ms

sample858.0ms

Algorithm

intervals

Results

279.0ms	8000×	body	80	valid
242.0ms	8000×	pre	80	true