Details

sample108.0ms

Algorithm

intervals

Results

56.0ms	66×	body	1280	valid
24.0ms	64×	body	640	valid
5.0ms	90×	body	80	valid
4.0ms	98×	body	80	nan
4.0ms	18×	body	320	valid
3.0ms	18×	body	160	valid

simplify11.0ms

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 38.6b

localize7.0ms

Local error

Found 1 expressions with local error:

4.1b	(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))

series36.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

36.0ms

(log (+ 1 x))

simplify2.2s

Counts: 19 → 19

prune162.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-cbrt-cube` `add-exp-log`
8×	`add-sqr-sqrt`
6×	`associate-r`
5×	`*-un-lft-identity` `add-cube-cbrt`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `-commutative` `insert-posit16` `add-log-exp` `unswap-sqr`
1×	`flip3--` `flip--`

Counts

2 → 45

Calls

2 calls:

Slowest

63.0ms	(* (* x x) (- (* 1/3 x) 1/2))
10.0ms	(* 1/3 x)

series149.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

112.0ms	(* (* x x) (- (* 1/3 x) 1/2))
36.0ms	(* 1/3 x)

simplify973.0ms

Counts: 51 → 51

prune438.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

4.1b	(log (- 1 x))
3.1b	(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)))

series220.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

119.0ms	(log (- 1 (* x x)))
75.0ms	(- (log (- 1 (* x x))) (log (- 1 x)))
26.0ms	(log (- 1 x))

simplify894.0ms

Counts: 77 → 77

prune451.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

4.1b	(log (- 1 x))
4.1b	(log (- 1 x))
4.1b	(log (- 1 x))
3.1b	(log (- 1 (* x x)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

23×	`log-prod`
18×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`pow1` `log-div` `add-exp-log` `add-cube-cbrt` `difference-of-squares`
4×	`flip3--` `add-cbrt-cube` `rem-log-exp` `log-pow` `insert-posit16` `flip--` `add-log-exp`
3×	`distribute-lft-out--`

Counts

4 → 71

Calls

4 calls:

Slowest

7.0ms	(log (- 1 (* x x)))
4.0ms	(log (- 1 x))
3.0ms	(log (- 1 x))
3.0ms	(log (- 1 x))

series217.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

141.0ms	(log (- 1 (* x x)))
25.0ms	(log (- 1 x))
25.0ms	(log (- 1 x))
25.0ms	(log (- 1 x))

simplify1.5s

Counts: 83 → 83

prune683.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes125.0ms

Accuracy

99.4% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 20.6b

bsearch33.0ms

end0.0ms

sample3.5s

Algorithm

intervals

Results

1.8s	2310×	body	1280	valid
994.0ms	1656×	body	640	valid
235.0ms	817×	body	320	valid
175.0ms	2783×	body	80	valid
98.0ms	2593×	body	80	nan
56.0ms	434×	body	160	valid