Details

sample43.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
10.0ms	256×	pre	80	true

simplify122.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.4b

localize25.0ms

Local error

Found 2 expressions with local error:

0.4b	(+ b (+ c d))
2.6b	(+ a (+ b (+ c d)))

rewrite91.0ms

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:

24.0ms	(+ b (+ c d))
65.0ms	(+ a (+ b (+ c d)))

series63.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(+ b (+ c d))
40.0ms	(+ a (+ b (+ c d)))

simplify1.3s

Counts: 38 → 38

prune135.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.2b

localize11.0ms

Local error

Found 1 expressions with local error:

2.6b	(+ a (+ (+ b c) d))

rewrite73.0ms

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:

72.0ms

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

series49.0ms

Counts

1 → 3

Calls

1 calls:

49.0ms

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

simplify1.1s

Counts: 20 → 20

prune88.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 1.9b

localize11.0ms

Local error

Found 2 expressions with local error:

0.6b	(cbrt (pow (+ a (+ (+ b c) d)) 3))
2.6b	(+ a (+ (+ b c) d))

rewrite192.0ms

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:

110.0ms	(cbrt (pow (+ a (+ (+ b c) d)) 3))
80.0ms	(+ a (+ (+ b c) d))

series111.0ms

Counts

2 → 6

Calls

2 calls:

75.0ms	(cbrt (pow (+ a (+ (+ b c) d)) 3))
36.0ms	(+ a (+ (+ b c) d))

simplify445.0ms

Counts: 52 → 52

prune156.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 1.8b

localize28.0ms

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))
2.6b	(+ a (+ (+ b c) d))

rewrite563.0ms

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:

141.0ms	(cbrt (pow (+ a (+ (+ b c) d)) 3))
307.0ms	(cbrt (pow (cbrt (pow (+ a (+ (+ b c) d)) 3)) 3))
109.0ms	(+ a (+ (+ b c) d))

series224.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(cbrt (pow (+ a (+ (+ b c) d)) 3))
90.0ms	(cbrt (pow (cbrt (pow (+ a (+ (+ b c) d)) 3)) 3))
50.0ms	(+ a (+ (+ b c) d))

simplify463.0ms

Counts: 114 → 114

prune188.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 1.8b

regimes548.0ms

Accuracy

0% (0.8b remaining)

Error of 2.7b against oracle of 1.9b and baseline of 2.7b

bsearch0.0ms

simplify112.0ms

end0.0ms

sample1.0s

Algorithm

intervals

Results

329.0ms	8000×	body	80	valid
265.0ms	8000×	pre	80	true