Details

sample43.0ms

Algorithm

intervals

Results

13.0ms	256×	pre	80	true
9.0ms	256×	body	80	valid

simplify131.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.5b

localize12.0ms

Local error

Found 2 expressions with local error:

0.4b	(+ b (+ c d))
2.7b	(+ a (+ b (+ c d)))

rewrite106.0ms

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:

33.0ms	(+ b (+ c d))
72.0ms	(+ a (+ b (+ c d)))

series71.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(+ b (+ c d))
40.0ms	(+ a (+ b (+ c d)))

simplify1.4s

Counts: 38 → 38

prune119.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 2.3b

localize8.0ms

Local error

Found 1 expressions with local error:

2.7b	(+ a (+ (+ b c) d))

rewrite107.0ms

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:

106.0ms

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

series52.0ms

Counts

1 → 3

Calls

1 calls:

52.0ms

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

simplify931.0ms

Counts: 20 → 20

prune79.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 2.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.6b	(cbrt (pow (+ a (+ (+ b c) d)) 3))
2.7b	(+ a (+ (+ b c) d))

rewrite277.0ms

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:

165.0ms	(cbrt (pow (+ a (+ (+ b c) d)) 3))
109.0ms	(+ a (+ (+ b c) d))

series136.0ms

Counts

2 → 6

Calls

2 calls:

86.0ms	(cbrt (pow (+ a (+ (+ b c) d)) 3))
50.0ms	(+ a (+ (+ b c) d))

simplify477.0ms

Counts: 52 → 52

prune173.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 1.9b

localize23.0ms

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))
2.7b	(+ a (+ (+ b c) d))

rewrite520.0ms

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:

127.0ms	(cbrt (pow (+ a (+ (+ b c) d)) 3))
293.0ms	(cbrt (pow (cbrt (pow (+ a (+ (+ b c) d)) 3)) 3))
95.0ms	(+ a (+ (+ b c) d))

series217.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(cbrt (pow (+ a (+ (+ b c) d)) 3))
94.0ms	(cbrt (pow (cbrt (pow (+ a (+ (+ b c) d)) 3)) 3))
51.0ms	(+ a (+ (+ b c) d))

simplify422.0ms

Counts: 114 → 114

prune178.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 1.9b

regimes644.0ms

Accuracy

0% (0.8b remaining)

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

bsearch0.0ms

simplify111.0ms

end0.0ms

sample1.1s

Algorithm

intervals

Results

328.0ms	8000×	pre	80	true
307.0ms	8000×	body	80	valid