Details

sample100.0ms

Algorithm

intervals

Results

36.0ms	75×	body	10240	exit
22.0ms	58×	body	1280	valid
18.0ms	59×	body	640	valid
6.0ms	101×	body	80	valid
4.0ms	20×	body	320	valid
2.0ms	18×	body	160	valid

simplify19.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

19.0ms

(/ (exp x) (- (exp x) 1))

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 38.0b

localize13.0ms

Local error

Found 2 expressions with local error:

5.0b	(- (exp x) 1)
0.5b	(/ (exp x) (- (exp x) 1))

rewrite23.0ms

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

14.0ms	(/ (exp x) (- (exp x) 1))
8.0ms	(- (exp x) 1)

series80.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

55.0ms	(/ (exp x) (- (exp x) 1))
25.0ms	(- (exp x) 1)

simplify1.9s

Counts

68 → 69

Calls

68 calls:

Slowest

425.0ms	(/ (* (* (exp x) (exp x)) (exp x)) (* (* (- (exp x) 1) (- (exp x) 1)) (- (exp x) 1)))
247.0ms	(+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))
60.0ms	(+ (* (exp x) (exp x)) (+ (* 1 1) (* (exp x) 1)))
57.0ms	(/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (- (exp x) 1)) (cbrt (- (exp x) 1))))
41.0ms	(/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (- (exp x) 1)))

prune572.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.4b

localize11.0ms

Local error

Found 1 expressions with local error:

0.3b	(* 1/12 x)

rewrite14.0ms

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

13.0ms

(* 1/12 x)

series29.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

29.0ms

(* 1/12 x)

simplify231.0ms

Counts

12 → 22

Calls

12 calls:

Slowest

186.0ms	(* (* (* 1/12 1/12) 1/12) (* (* x x) x))
9.0ms	(+ (log 1/12) (log x))
6.0ms	(* 1/12 x)
6.0ms	(* (sqrt 1/12) (sqrt x))
5.0ms	(* (sqrt 1/12) (sqrt x))

prune154.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.4b

localize52.0ms

Local error

Found 2 expressions with local error:

59.8b	(posit16->real (real->posit16 (* 1/12 x)))
0.3b	(* 1/12 x)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 28

Calls

2 calls:

Slowest

10.0ms	(* 1/12 x)
0.0ms	(posit16->real (real->posit16 (* 1/12 x)))

series63.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

34.0ms	(posit16->real (real->posit16 (* 1/12 x)))
28.0ms	(* 1/12 x)

simplify269.0ms

Counts

15 → 34

Calls

15 calls:

Slowest

185.0ms	(* (* (* 1/12 1/12) 1/12) (* (* x x) x))
10.0ms	(* (sqrt 1/12) (sqrt x))
10.0ms	(* (sqrt 1/12) (sqrt x))
9.0ms	(+ (log 1/12) (log x))
7.0ms	(* (cbrt 1/12) (cbrt 1/12))

prune707.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.4b

localize23.0ms

Local error

Found 1 expressions with local error:

0.3b	(* 1/12 x)

rewrite19.0ms

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

18.0ms

(* 1/12 x)

series24.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

24.0ms

(* 1/12 x)

simplify257.0ms

Counts

12 → 22

Calls

12 calls:

Slowest

218.0ms	(* (* (* 1/12 1/12) 1/12) (* (* x x) x))
9.0ms	(* (sqrt 1/12) (sqrt x))
5.0ms	(* (sqrt 1/12) (sqrt x))
5.0ms	(+ (log 1/12) (log x))
4.0ms	(* (cbrt 1/12) (cbrt 1/12))

prune169.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.4b

regimes113.0ms

Accuracy

99.2% (0.2b remaining)

Error of 0.6b against oracle of 0.4b and baseline of 21.2b

bsearch70.0ms

end0.0ms

sample3.4s

Algorithm

intervals

Results

1.0s	2285×	body	1280	valid
945.0ms	2601×	body	10240	exit
509.0ms	1643×	body	640	valid
441.0ms	442×	body	160	valid
199.0ms	801×	body	320	valid
158.0ms	2831×	body	80	valid