Details

sample165.0ms

Algorithm

intervals

Results

112.0ms	181×	body	1280	valid
17.0ms	278×	body	80	valid
16.0ms	44×	body	640	valid
4.0ms	17×	body	320	valid
1.0ms	9×	body	160	valid

simplify324.0ms

Counts: 1 → 1

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.0b

localize12.0ms

Local error

Found 2 expressions with local error:

3.2b	(+ (- (exp x) 2) (exp (- x)))
0.0b	(- (exp x) 2)

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

25×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
18×	`prod-diff`
16×	`add-cube-cbrt`
11×	`associate-+l+`
9×	`add-log-exp`
5×	`fma-def`
4×	`frac-add`
3×	`flip3--` `fma-neg` `flip--` `distribute-lft-out--`
2×	`neg-sub0` `exp-neg` `expm1-log1p-u` `pow1` `sum-log` `sub-neg` `add-cbrt-cube` `exp-diff` `diff-log` `add-exp-log` `insert-posit16` `log1p-expm1-u` `distribute-lft-out` `difference-of-squares`
1×	`+-commutative` `flip3-+` `associate-+l-` `flip-+`

Counts

2 → 67

Calls

2 calls:

Slowest

54.0ms	(+ (- (exp x) 2) (exp (- x)))
19.0ms	(- (exp x) 2)

series137.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

113.0ms	(+ (- (exp x) 2) (exp (- x)))
24.0ms	(- (exp x) 2)

simplify1.0s

Counts: 73 → 73

prune590.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* x x) (* x x))
0.1b	(* (* x x) (* x x))
0.1b	(* (* x x) (* (* x x) (* x x)))
0.0b	(fma (* (* x x) (* x x)) 1/12 (* x x))

rewrite165.0ms

Algorithm

rewrite-expression-head

Rules

848×	`pow1`
370×	`pow-prod-up`
175×	`pow-prod-down`
153×	`pow-sqr`
140×	`pow-plus`
99×	`pow2`
69×	`add-cbrt-cube` `add-exp-log`
47×	`prod-exp` `cbrt-unprod`
4×	`add-sqr-sqrt` `expm1-log1p-u` `*-un-lft-identity` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-r` `associate-l` `*-commutative` `unswap-sqr`
2×	`swap-sqr`
1×	`cube-unmult` `fma-udef`

Counts

4 → 337

Calls

4 calls:

Slowest

92.0ms	(* (* x x) (* (* x x) (* x x)))
31.0ms	(* (* x x) (* x x))
29.0ms	(* (* x x) (* x x))
0.0ms	(fma (* (* x x) (* x x)) 1/12 (* x x))

series304.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

133.0ms	(fma (* (* x x) (* x x)) 1/12 (* x x))
82.0ms	(* (* x x) (* (* x x) (* x x)))
48.0ms	(* (* x x) (* x x))
42.0ms	(* (* x x) (* x x))

simplify2.0s

Counts: 349 → 349

prune3.4s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

19.8b	(cbrt (* (* (fma (* (* x x) (* x x)) 1/12 (* x x)) (fma (* (* x x) (* x x)) 1/12 (* x x))) (fma (* (* x x) (* x x)) 1/12 (* x x))))
0.1b	(* (fma (* (* x x) (* x x)) 1/12 (* x x)) (fma (* (* x x) (* x x)) 1/12 (* x x)))
0.1b	(* (* x x) (* x x))
0.1b	(* (* x x) (* x x))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

233×	`pow1`
73×	`pow-prod-up`
47×	`pow-prod-down`
45×	`pow-sqr`
37×	`pow-plus`
30×	`add-cbrt-cube` `add-exp-log`
27×	`pow2`
17×	`prod-exp` `cbrt-unprod`
10×	`add-sqr-sqrt`
8×	`*-un-lft-identity` `add-cube-cbrt`
5×	`swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative` `unswap-sqr`
2×	`fma-udef`
1×	`cbrt-prod` `distribute-rgt-in` `distribute-lft-in` `pow1/3` `pow3` `rem-cbrt-cube`

Counts

4 → 175

Calls

4 calls:

Slowest

33.0ms	(* (* x x) (* x x))
31.0ms	(* (* x x) (* x x))
12.0ms	(cbrt (* (* (fma (* (* x x) (* x x)) 1/12 (* x x)) (fma (* (* x x) (* x x)) 1/12 (* x x))) (fma (* (* x x) (* x x)) 1/12 (* x x))))
6.0ms	(* (fma (* (* x x) (* x x)) 1/12 (* x x)) (fma (* (* x x) (* x x)) 1/12 (* x x)))

series289.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

122.0ms	(cbrt (* (* (fma (* (* x x) (* x x)) 1/12 (* x x)) (fma (* (* x x) (* x x)) 1/12 (* x x))) (fma (* (* x x) (* x x)) 1/12 (* x x))))
73.0ms	(* (fma (* (* x x) (* x x)) 1/12 (* x x)) (fma (* (* x x) (* x x)) 1/12 (* x x)))
52.0ms	(* (* x x) (* x x))
42.0ms	(* (* x x) (* x x))

simplify901.0ms

Counts: 187 → 187

prune2.1s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes81.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch2.0ms

end0.0ms

sample5.3s

Algorithm

intervals

Results

3.9s	5694×	body	1280	valid
533.0ms	8156×	body	80	valid
508.0ms	1200×	body	640	valid
123.0ms	613×	body	320	valid
46.0ms	352×	body	160	valid