Details

sample138.0ms

Algorithm

intervals

Results

89.0ms	96×	body	10240	exit
21.0ms	264×	body	80	valid
4.0ms	8×	body	640	valid
3.0ms	3×	body	1280	valid
3.0ms	10×	body	320	valid
1.0ms	5×	body	160	valid

simplify40.0ms

Counts: 1 → 1

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize27.0ms

Local error

Found 3 expressions with local error:

0.5b	(log (+ 1 (exp x)))
0.0b	(+ 1 (exp x))
0.0b	(- (log (+ 1 (exp x))) (* x y))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity`
8×	`log-prod`
6×	`add-log-exp`
5×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`pow1` `log-div` `associate--l+` `add-exp-log`
3×	`flip3-+` `add-cbrt-cube` `flip-+` `insert-posit16` `distribute-lft-out`
2×	`associate--l-`
1×	`+-commutative` `sum-log` `sub-neg` `flip3--` `diff-log` `rem-log-exp` `log-pow` `flip--`

Counts

3 → 48

Calls

3 calls:

Slowest

8.0ms	(- (log (+ 1 (exp x))) (* x y))
7.0ms	(log (+ 1 (exp x)))
5.0ms	(+ 1 (exp x))

series160.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

82.0ms	(- (log (+ 1 (exp x))) (* x y))
63.0ms	(log (+ 1 (exp x)))
14.0ms	(+ 1 (exp x))

simplify525.0ms

Counts: 65 → 57

prune480.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.4b

localize27.0ms

Local error

Found 4 expressions with local error:

1.2b	(log (sqrt (+ 1 (exp x))))
1.2b	(log (sqrt (+ 1 (exp x))))
0.0b	(+ 1 (exp x))
0.0b	(+ 1 (exp x))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
14×	`log-prod`
8×	`add-sqr-sqrt` `pow1` `add-cube-cbrt` `sqrt-prod` `add-log-exp`
6×	`add-exp-log` `log-pow`
4×	`log-div` `flip3-+` `add-cbrt-cube` `sqrt-div` `flip-+` `insert-posit16` `distribute-lft-out`
2×	`+-commutative` `sum-log` `sqrt-pow1` `pow1/2` `rem-log-exp`

Counts

4 → 68

Calls

4 calls:

Slowest

7.0ms	(log (sqrt (+ 1 (exp x))))
4.0ms	(+ 1 (exp x))
4.0ms	(+ 1 (exp x))
4.0ms	(log (sqrt (+ 1 (exp x))))

series328.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

148.0ms	(log (sqrt (+ 1 (exp x))))
147.0ms	(log (sqrt (+ 1 (exp x))))
20.0ms	(+ 1 (exp x))
13.0ms	(+ 1 (exp x))

simplify629.0ms

Counts: 98 → 80

prune944.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.4b

localize18.0ms

Local error

Found 3 expressions with local error:

6.8b	(log (+ (+ 2 x) (* (* x 1/2) x)))
0.0b	(+ (+ 2 x) (* (* x 1/2) x))
0.0b	(- (log (+ (+ 2 x) (* (* x 1/2) x))) (* x y))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
6×	`log-prod`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `log-div` `add-exp-log`
3×	`sum-log` `flip3-+` `add-cbrt-cube` `associate--l+` `flip-+` `insert-posit16`
2×	`associate--l-`
1×	`+-commutative` `associate-+l+` `sub-neg` `flip3--` `diff-log` `rem-log-exp` `log-pow` `flip--`

Counts

3 → 47

Calls

3 calls:

Slowest

35.0ms	(+ (+ 2 x) (* (* x 1/2) x))
31.0ms	(- (log (+ (+ 2 x) (* (* x 1/2) x))) (* x y))
27.0ms	(log (+ (+ 2 x) (* (* x 1/2) x)))

series126.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

65.0ms	(- (log (+ (+ 2 x) (* (* x 1/2) x))) (* x y))
43.0ms	(log (+ (+ 2 x) (* (* x 1/2) x)))
18.0ms	(+ (+ 2 x) (* (* x 1/2) x))

simplify323.0ms

Counts: 63 → 56

prune604.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.4b

localize66.0ms

Local error

Found 4 expressions with local error:

9.0b	(posit16->real (real->posit16 (+ (+ 2 x) (* (* x 1/2) x))))
6.8b	(log (posit16->real (real->posit16 (+ (+ 2 x) (* (* x 1/2) x)))))
0.0b	(+ (+ 2 x) (* (* x 1/2) x))
0.0b	(- (log (posit16->real (real->posit16 (+ (+ 2 x) (* (* x 1/2) x))))) (* x y))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
6×	`add-sqr-sqrt` `log-prod` `*-un-lft-identity` `add-cube-cbrt`
5×	`pow1` `add-exp-log`
4×	`add-cbrt-cube` `insert-posit16`
3×	`sum-log` `associate--l+`
1×	`+-commutative` `associate-+l+` `sub-neg` `flip3-+` `flip3--` `diff-log` `rem-log-exp` `log-pow` `flip-+` `remove-posit16` `flip--`

Counts

4 → 52

Calls

4 calls:

Slowest

23.0ms	(+ (+ 2 x) (* (* x 1/2) x))
11.0ms	(- (log (posit16->real (real->posit16 (+ (+ 2 x) (* (* x 1/2) x))))) (* x y))
1.0ms	(log (posit16->real (real->posit16 (+ (+ 2 x) (* (* x 1/2) x)))))
0.0ms	(posit16->real (real->posit16 (+ (+ 2 x) (* (* x 1/2) x))))

series132.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

59.0ms	(- (log (posit16->real (real->posit16 (+ (+ 2 x) (* (* x 1/2) x))))) (* x y))
35.0ms	(log (posit16->real (real->posit16 (+ (+ 2 x) (* (* x 1/2) x)))))
19.0ms	(posit16->real (real->posit16 (+ (+ 2 x) (* (* x 1/2) x))))
19.0ms	(+ (+ 2 x) (* (* x 1/2) x))

simplify312.0ms

Counts: 68 → 64

prune1.2s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.4b

regimes127.0ms

Accuracy

0% (0.7b remaining)

Error of 1.0b against oracle of 0.3b and baseline of 1.0b

bsearch3.0ms

end0.0ms

sample4.2s

Algorithm

intervals

Results

2.3s	2456×	body	10240	exit
1.3s	8388×	body	80	valid
141.0ms	259×	body	640	valid
111.0ms	124×	body	1280	valid
71.0ms	219×	body	320	valid
19.0ms	95×	body	160	valid