Details

sample125.0ms

Algorithm

intervals

Results

36.0ms	76×	body	1280	valid
32.0ms	79×	body	10240	exit
21.0ms	91×	body	80	valid
15.0ms	45×	body	640	valid
7.0ms	29×	body	320	valid
2.0ms	15×	body	160	valid

simplify24.0ms

Counts: 1 → 1

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 40.1b

localize16.0ms

Local error

Found 2 expressions with local error:

3.8b	(- (exp x) 1)
0.3b	(/ (exp x) (- (exp x) 1))

rewrite22.0ms

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

13.0ms	(/ (exp x) (- (exp x) 1))
8.0ms	(- (exp x) 1)

series70.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

52.0ms	(/ (exp x) (- (exp x) 1))
18.0ms	(- (exp x) 1)

simplify1.4s

Counts: 69 → 69

prune579.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize20.0ms

Local error

Found 2 expressions with local error:

0.3b	(* 1/12 x)
0.0b	(+ (* 1/12 x) (+ (/ 1 x) 1/2))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-log-exp`
6×	`add-sqr-sqrt`
4×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
3×	`sum-log` `associate-r` `associate-l`
2×	`insert-posit16`
1×	`+-commutative` `associate-+r+` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

2 → 33

Calls

2 calls:

Slowest

35.0ms	(+ (* 1/12 x) (+ (/ 1 x) 1/2))
8.0ms	(* 1/12 x)

series39.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

22.0ms	(* 1/12 x)
17.0ms	(+ (* 1/12 x) (+ (/ 1 x) 1/2))

simplify557.0ms

Counts: 39 → 39

prune243.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
0.5b	(* (cbrt x) (cbrt x))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`add-cbrt-cube` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 77

Calls

4 calls:

Slowest

10.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series996.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

295.0ms	(* (cbrt x) (cbrt x))
263.0ms	(cbrt x)
239.0ms	(cbrt x)
199.0ms	(cbrt x)

simplify937.0ms

Counts: 89 → 89

prune725.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize46.0ms

Local error

Found 4 expressions with local error:

59.4b	(posit16->real (real->posit16 (* (cbrt x) (cbrt x))))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `add-log-exp`
3×	`pow1/3`
1×	`remove-posit16`

Counts

4 → 45

Calls

4 calls:

Slowest

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
0.0ms	(posit16->real (real->posit16 (* (cbrt x) (cbrt x))))

series1.0s

Counts

4 → 12

Calls

4 calls:

Slowest

298.0ms	(posit16->real (real->posit16 (* (cbrt x) (cbrt x))))
242.0ms	(cbrt x)
235.0ms	(cbrt x)
233.0ms	(cbrt x)

simplify2.0s

Counts: 57 → 57

prune1.4s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

regimes150.0ms

Accuracy

97.3% (0.6b remaining)

Error of 1.0b against oracle of 0.4b and baseline of 21.6b

bsearch5.0ms

end0.0ms

sample3.5s

Algorithm

intervals

Results

1.3s	2303×	body	1280	valid
1.1s	2577×	body	10240	exit
551.0ms	1590×	body	640	valid
192.0ms	2896×	body	80	valid
149.0ms	796×	body	320	valid
50.0ms	417×	body	160	valid