Details

sample43.0ms

Algorithm

intervals

Results

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

simplify9.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.7b

localize12.0ms

Local error

Found 2 expressions with local error:

0.4b	(+ b (+ c d))
2.9b	(+ a (+ b (+ c d)))

rewrite100.0ms

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:

23.0ms	(+ b (+ c d))
75.0ms	(+ a (+ b (+ c d)))

series59.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(+ b (+ c d))
42.0ms	(+ a (+ b (+ c d)))

simplify90.0ms

Counts: 38 → 38

prune107.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 2.4b

localize10.0ms

Local error

Found 1 expressions with local error:

2.9b	(+ a (+ (+ b c) d))

rewrite99.0ms

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:

98.0ms

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

series49.0ms

Counts

1 → 3

Calls

1 calls:

48.0ms

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

simplify70.0ms

Counts: 20 → 20

prune67.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 2.1b

localize20.0ms

Local error

Found 2 expressions with local error:

0.6b	(cbrt (pow (+ a (+ (+ b c) d)) 3))
2.9b	(+ a (+ (+ b c) d))

rewrite246.0ms

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:

141.0ms	(cbrt (pow (+ a (+ (+ b c) d)) 3))
102.0ms	(+ a (+ (+ b c) d))

series123.0ms

Counts

2 → 6

Calls

2 calls:

74.0ms	(cbrt (pow (+ a (+ (+ b c) d)) 3))
48.0ms	(+ a (+ (+ b c) d))

simplify23.0ms

Counts: 52 → 52

prune132.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 2.0b

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))
2.9b	(+ a (+ (+ b c) d))

rewrite414.0ms

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:

105.0ms	(cbrt (pow (+ a (+ (+ b c) d)) 3))
228.0ms	(cbrt (pow (cbrt (pow (+ a (+ (+ b c) d)) 3)) 3))
73.0ms	(+ a (+ (+ b c) d))

series191.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(cbrt (pow (+ a (+ (+ b c) d)) 3))
74.0ms	(cbrt (pow (cbrt (pow (+ a (+ (+ b c) d)) 3)) 3))
42.0ms	(+ a (+ (+ b c) d))

simplify36.0ms

Counts: 114 → 114

prune164.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 2.0b

regimes549.0ms

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

sample1.2s

Algorithm

intervals

Results

335.0ms	8000×	body	80	valid
318.0ms	8000×	pre	80	true