Details

sample110.0ms

Algorithm

intervals

Results

65.0ms	78×	body	1280	valid
18.0ms	44×	body	640	valid
7.0ms	30×	body	320	valid
5.0ms	91×	body	80	valid
3.0ms	90×	body	80	nan
2.0ms	13×	body	160	valid

simplify7.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 39.2b

localize6.0ms

Local error

Found 1 expressions with local error:

3.8b	(log (+ 1 x))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

4×	`log-prod` `*-un-lft-identity`
2×	`add-sqr-sqrt` `pow1` `log-div` `add-exp-log` `add-cube-cbrt`
1×	`flip3-+` `add-cbrt-cube` `rem-log-exp` `log-pow` `flip-+` `insert-posit16` `distribute-lft-out` `add-log-exp`

Counts

1 → 16

Calls

1 calls:

Slowest

3.0ms

(log (+ 1 x))

series24.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

24.0ms

(log (+ 1 x))

simplify1.5s

Counts: 19 → 19

prune146.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b	(* 1/3 x)
0.0b	(* x (+ -1/2 (* 1/3 x)))
0.0b	(* (* x (+ -1/2 (* 1/3 x))) x)
0.0b	(+ x (* (* x (+ -1/2 (* 1/3 x))) x))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt` `pow1` `add-cbrt-cube` `add-exp-log`
10×	`*-un-lft-identity`
9×	`associate-r` `add-cube-cbrt`
7×	`associate-l`
6×	`add-log-exp`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`associate-*r/` `insert-posit16`
3×	`flip3-+` `*-commutative` `flip-+`
2×	`associate-*l/` `unswap-sqr`
1×	`distribute-rgt-in` `+-commutative` `sum-log` `distribute-lft-in` `distribute-rgt-out` `distribute-rgt1-in`

Counts

4 → 77

Calls

4 calls:

Slowest

25.0ms	(* (* x (+ -1/2 (* 1/3 x))) x)
12.0ms	(+ x (* (* x (+ -1/2 (* 1/3 x))) x))
11.0ms	(* x (+ -1/2 (* 1/3 x)))
5.0ms	(* 1/3 x)

series286.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

129.0ms	(* (* x (+ -1/2 (* 1/3 x))) x)
80.0ms	(* x (+ -1/2 (* 1/3 x)))
49.0ms	(+ x (* (* x (+ -1/2 (* 1/3 x))) x))
28.0ms	(* 1/3 x)

simplify2.2s

Counts: 89 → 89

prune602.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

3.7b	(log (- 1 x))
1.5b	(log (- 1 (* x x)))
0.0b	(- (log (- 1 (* x x))) (log (- 1 x)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

22×	`log-prod`
19×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
9×	`pow1` `difference-of-squares`
8×	`log-div`
7×	`add-cube-cbrt`
6×	`log-pow` `associate--r+` `distribute-lft-out--`
5×	`flip3--` `associate--l+` `add-exp-log` `flip--`
3×	`add-cbrt-cube` `insert-posit16` `add-log-exp`
2×	`associate--l-` `rem-log-exp` `associate--r-`
1×	`sub-neg` `diff-log`

Counts

3 → 68

Calls

3 calls:

Slowest

10.0ms	(- (log (- 1 (* x x))) (log (- 1 x)))
4.0ms	(log (- 1 x))
3.0ms	(log (- 1 (* x x)))

series231.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

117.0ms	(log (- 1 (* x x)))
83.0ms	(- (log (- 1 (* x x))) (log (- 1 x)))
31.0ms	(log (- 1 x))

simplify915.0ms

Counts: 77 → 77

prune417.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

4.0b	(log (+ 1 (sqrt x)))
4.0b	(log (- 1 (sqrt x)))
3.1b	(+ (log (+ 1 (sqrt x))) (log (- 1 (sqrt x))))
1.5b	(log (- 1 (* x x)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

33×	`log-prod`
30×	`*-un-lft-identity`
26×	`add-sqr-sqrt`
11×	`pow1`
10×	`log-div` `difference-of-squares`
9×	`associate-+r+` `add-cube-cbrt`
8×	`sqrt-prod` `distribute-lft-out`
7×	`add-exp-log` `log-pow`
5×	`associate-+l+`
4×	`add-cbrt-cube` `insert-posit16` `distribute-lft-out--` `add-log-exp`
3×	`flip3-+` `flip3--` `rem-log-exp` `flip-+` `flip--`
2×	`associate-+r-` `associate-+l-`
1×	`+-commutative` `sum-log`

Counts

4 → 89

Calls

4 calls:

Slowest

14.0ms	(+ (log (+ 1 (sqrt x))) (log (- 1 (sqrt x))))
6.0ms	(log (- 1 (* x x)))
4.0ms	(log (- 1 (sqrt x)))
3.0ms	(log (+ 1 (sqrt x)))

series625.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

245.0ms	(+ (log (+ 1 (sqrt x))) (log (- 1 (sqrt x))))
151.0ms	(log (+ 1 (sqrt x)))
123.0ms	(log (- 1 (* x x)))
106.0ms	(log (- 1 (sqrt x)))

simplify1.1s

Counts: 101 → 101

prune610.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes113.0ms

Accuracy

99.6% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 20.9b

bsearch40.0ms

end0.0ms

sample3.6s

Algorithm

intervals

Results

1.8s	2318×	body	1280	valid
640.0ms	1617×	body	640	valid
562.0ms	807×	body	320	valid
159.0ms	2728×	body	80	nan
145.0ms	2840×	body	80	valid
54.0ms	418×	body	160	valid