Details

sample107.0ms

Algorithm

intervals

Results

35.0ms	84×	body	1280	valid
33.0ms	87×	body	10240	exit
16.0ms	54×	body	640	valid
5.0ms	80×	body	80	valid
5.0ms	25×	body	320	valid
2.0ms	13×	body	160	valid

simplify20.0ms

Counts: 1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 43.3b

localize30.0ms

Local error

Found 2 expressions with local error:

4.2b	(- (exp x) 1)
0.5b	(/ (exp x) (- (exp x) 1))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
29×	`*-un-lft-identity`
21×	`times-frac`
14×	`add-cube-cbrt`
10×	`difference-of-squares`
7×	`associate-/r*`
5×	`difference-of-sqr-1` `distribute-lft-out--`
4×	`add-cbrt-cube` `add-log-exp`
3×	`add-exp-log` `associate-/l*`
2×	`pow1` `flip3--` `associate-/r/` `insert-posit16` `flip--`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-exp` `div-inv`

Counts

2 → 63

Calls

2 calls:

Slowest

21.0ms	(/ (exp x) (- (exp x) 1))
13.0ms	(- (exp x) 1)

series46.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

26.0ms	(/ (exp x) (- (exp x) 1))
21.0ms	(- (exp x) 1)

simplify425.0ms

Counts: 96 → 69

prune392.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.5b

localize23.0ms

Local error

Found 1 expressions with local error:

0.3b	(* 1/12 x)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `-un-lft-identity` `add-cbrt-cube` `associate-r` `associate-l*` `add-exp-log` `add-cube-cbrt`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `insert-posit16` `add-log-exp` `unswap-sqr`

Counts

1 → 19

Calls

1 calls:

Slowest

11.0ms

(* 1/12 x)

series33.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

33.0ms

(* 1/12 x)

simplify850.0ms

Counts: 22 → 22

prune179.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.5b

localize23.0ms

Local error

Found 2 expressions with local error:

0.4b	(* (sqrt 1/12) (* (sqrt 1/12) x))
0.4b	(* (sqrt 1/12) x)

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

12×	`associate-l`
11×	`add-sqr-sqrt`
9×	`pow1` `add-cbrt-cube` `add-exp-log`
7×	`*-un-lft-identity` `add-cube-cbrt` `sqrt-prod`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`*-commutative` `insert-posit16` `add-log-exp` `unswap-sqr`

Counts

2 → 45

Calls

2 calls:

Slowest

41.0ms	(* (sqrt 1/12) (* (sqrt 1/12) x))
13.0ms	(* (sqrt 1/12) x)

series130.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

82.0ms	(* (sqrt 1/12) (* (sqrt 1/12) x))
48.0ms	(* (sqrt 1/12) x)

simplify968.0ms

Counts: 51 → 51

prune463.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.5b

localize63.0ms

Local error

Found 3 expressions with local error:

59.8b	(posit16->real (real->posit16 (* (sqrt 1/12) x)))
0.4b	(* (sqrt 1/12) (posit16->real (real->posit16 (* (sqrt 1/12) x))))
0.4b	(* (sqrt 1/12) x)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
12×	`associate-l`
9×	`*-un-lft-identity` `add-cube-cbrt`
8×	`sqrt-prod`
7×	`pow1` `add-cbrt-cube` `add-exp-log`
6×	`associate-r`
4×	`unswap-sqr`
3×	`insert-posit16` `add-log-exp`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod`
1×	`remove-posit16`

Counts

3 → 55

Calls

3 calls:

Slowest

14.0ms	(* (sqrt 1/12) (posit16->real (real->posit16 (* (sqrt 1/12) x))))
12.0ms	(* (sqrt 1/12) x)
0.0ms	(posit16->real (real->posit16 (* (sqrt 1/12) x)))

series221.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

106.0ms	(* (sqrt 1/12) (posit16->real (real->posit16 (* (sqrt 1/12) x))))
58.0ms	(posit16->real (real->posit16 (* (sqrt 1/12) x)))
57.0ms	(* (sqrt 1/12) x)

simplify782.0ms

Counts: 65 → 64

prune1.2s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.5b

regimes188.0ms

Accuracy

98.3% (0.3b remaining)

Error of 0.7b against oracle of 0.4b and baseline of 21.1b

bsearch7.0ms

end0.0ms

sample3.8s

Algorithm

intervals

Results

1.1s	1695×	body	640	valid
1.1s	2286×	body	1280	valid
1.1s	2561×	body	10240	exit
167.0ms	2833×	body	80	valid
151.0ms	779×	body	320	valid
78.0ms	409×	body	160	valid