Details

sample113.0ms

Algorithm

intervals

Results

78.0ms	182×	body	1280	valid
11.0ms	270×	body	80	valid
8.0ms	34×	body	640	valid
3.0ms	21×	body	320	valid
1.0ms	13×	body	160	valid

simplify173.0ms

Counts: 1 → 1

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 26.1b

localize12.0ms

Local error

Found 2 expressions with local error:

4.1b	(+ (- (exp x) 2) (exp (- x)))
0.0b	(- (exp x) 2)

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity` `add-log-exp`
4×	`add-sqr-sqrt` `frac-add`
3×	`flip3--` `flip--`
2×	`neg-sub0` `exp-neg` `pow1` `associate-+l+` `sum-log` `sub-neg` `add-cbrt-cube` `exp-diff` `diff-log` `add-exp-log` `add-cube-cbrt` `insert-posit16` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `flip3-+` `associate-+l-` `flip-+` `difference-of-squares`

Counts

2 → 37

Calls

2 calls:

Slowest

38.0ms	(+ (- (exp x) 2) (exp (- x)))
8.0ms	(- (exp x) 2)

series88.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

70.0ms	(+ (- (exp x) 2) (exp (- x)))
17.0ms	(- (exp x) 2)

simplify702.0ms

Counts: 43 → 43

prune419.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x x) (* x x))
0.1b	(* (* (* x x) (* x x)) 1/12)
0.1b	(* (* x x) x)
0.1b	(* (* x x) x)

rewrite156.0ms

Algorithm

rewrite-expression-head

Rules

171×	`pow1`
48×	`pow-prod-up`
44×	`add-cbrt-cube` `add-exp-log`
42×	`pow-prod-down`
30×	`pow-plus`
27×	`prod-exp` `cbrt-unprod`
26×	`pow-sqr`
17×	`pow2`
10×	`add-sqr-sqrt` `associate-r`
7×	`*-un-lft-identity` `add-cube-cbrt`
4×	`associate-l` `*-commutative` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`pow3`
1×	`swap-sqr`

Counts

4 → 151

Calls

4 calls:

Slowest

77.0ms	(* (* (* x x) (* x x)) 1/12)
35.0ms	(* (* x x) (* x x))
22.0ms	(* (* x x) x)
15.0ms	(* (* x x) x)

series197.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

54.0ms	(* (* (* x x) (* x x)) 1/12)
51.0ms	(* (* x x) x)
48.0ms	(* (* x x) (* x x))
44.0ms	(* (* x x) x)

simplify1.2s

Counts: 163 → 163

prune1.3s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize82.0ms

Local error

Found 4 expressions with local error:

19.2b	(posit16->real (real->posit16 (* (* x x) x)))
0.2b	(* (* x x) (* x x))
0.1b	(* (* (* x x) (* x x)) 1/12)
0.1b	(* (* x x) x)

rewrite195.0ms

Algorithm

rewrite-expression-head

Rules

152×	`pow1`
42×	`pow-prod-up`
39×	`add-cbrt-cube` `pow-prod-down` `add-exp-log`
24×	`pow-plus` `prod-exp` `pow-sqr` `cbrt-unprod`
15×	`pow2`
8×	`add-sqr-sqrt`
7×	`associate-r`
6×	`*-un-lft-identity` `add-cube-cbrt`
4×	`insert-posit16` `add-log-exp`
3×	`associate-l` `*-commutative` `unswap-sqr`
1×	`swap-sqr` `pow3` `remove-posit16`

Counts

4 → 131

Calls

4 calls:

Slowest

127.0ms	(* (* (* x x) (* x x)) 1/12)
43.0ms	(* (* x x) (* x x))
23.0ms	(* (* x x) x)
1.0ms	(posit16->real (real->posit16 (* (* x x) x)))

series229.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

78.0ms	(* (* (* x x) (* x x)) 1/12)
63.0ms	(* (* x x) x)
49.0ms	(posit16->real (real->posit16 (* (* x x) x)))
40.0ms	(* (* x x) (* x x))

simplify843.0ms

Counts: 143 → 143

prune3.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 2 expressions with local error:

4.1b	(+ (- (exp x) 2) (exp (- x)))
0.0b	(- (exp x) 2)

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity` `add-log-exp`
4×	`add-sqr-sqrt` `frac-add`
3×	`flip3--` `flip--`
2×	`neg-sub0` `exp-neg` `pow1` `associate-+l+` `sum-log` `sub-neg` `add-cbrt-cube` `exp-diff` `diff-log` `add-exp-log` `add-cube-cbrt` `insert-posit16` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `flip3-+` `associate-+l-` `flip-+` `difference-of-squares`

Counts

2 → 37

Calls

2 calls:

Slowest

43.0ms	(+ (- (exp x) 2) (exp (- x)))
9.0ms	(- (exp x) 2)

series99.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

71.0ms	(+ (- (exp x) 2) (exp (- x)))
27.0ms	(- (exp x) 2)

simplify807.0ms

Counts: 43 → 43

prune368.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes72.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch2.0ms

end0.0ms

sample5.2s

Algorithm

intervals

Results

3.8s	5666×	body	1280	valid
576.0ms	8114×	body	80	valid
419.0ms	1203×	body	640	valid
128.0ms	656×	body	320	valid
44.0ms	337×	body	160	valid