Details

sample77.0ms

Algorithm

intervals

Results

56.0ms	114×	body	10240	exit
12.0ms	256×	body	80	valid

simplify7.0ms

Counts: 1 → 1

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize41.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ (exp a) (+ (exp a) (exp b)))
0.0b	(+ (exp a) (exp b))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
12×	`add-sqr-sqrt` `times-frac` `add-cube-cbrt`
5×	`distribute-lft-out`
4×	`associate-/r*` `add-cbrt-cube` `add-log-exp`
3×	`fma-def` `add-exp-log` `associate-/l*`
2×	`expm1-log1p-u` `pow1` `flip3-+` `associate-/r/` `flip-+` `insert-posit16` `log1p-expm1-u`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `div-exp` `div-inv`

Counts

2 → 54

Calls

2 calls:

Slowest

21.0ms	(/ (exp a) (+ (exp a) (exp b)))
8.0ms	(+ (exp a) (exp b))

series73.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

44.0ms	(/ (exp a) (+ (exp a) (exp b)))
29.0ms	(+ (exp a) (exp b))

simplify981.0ms

Counts: 60 → 60

prune573.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

3.1b	(log (+ (exp a) (exp b)))
0.9b	(- a (log (+ (exp a) (exp b))))
0.0b	(+ (exp a) (exp b))
0.0b	(exp (- a (log (+ (exp a) (exp b)))))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

35×	`*-un-lft-identity`
27×	`add-sqr-sqrt`
24×	`prod-diff`
23×	`add-cube-cbrt`
16×	`exp-sum`
13×	`pow1`
9×	`log-pow` `add-log-exp`
8×	`log-prod`
6×	`log-div` `exp-prod`
5×	`add-exp-log`
4×	`expm1-log1p-u` `flip3-+` `add-cbrt-cube` `flip-+` `insert-posit16` `log1p-expm1-u` `associate--r+` `distribute-lft-out--` `associate--r-`
3×	`fma-def` `fma-neg` `distribute-lft-out`
2×	`sub-neg` `diff-log` `difference-of-squares` `rem-exp-log`
1×	`+-commutative` `sum-log` `flip3--` `exp-diff` `rem-log-exp` `flip--`

Counts

4 → 110

Calls

4 calls:

Slowest

13.0ms	(exp (- a (log (+ (exp a) (exp b)))))
11.0ms	(- a (log (+ (exp a) (exp b))))
8.0ms	(+ (exp a) (exp b))
7.0ms	(log (+ (exp a) (exp b)))

series208.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

69.0ms	(exp (- a (log (+ (exp a) (exp b)))))
53.0ms	(log (+ (exp a) (exp b)))
52.0ms	(- a (log (+ (exp a) (exp b))))
34.0ms	(+ (exp a) (exp b))

simplify914.0ms

Counts: 122 → 122

prune1.4s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 3 expressions with local error:

0.2b	(/ (+ (exp a) (exp b)) (exp a))
0.0b	(+ (exp a) (exp b))
0.0b	(/ 1 (/ (+ (exp a) (exp b)) (exp a)))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

108×	`times-frac`
96×	`*-un-lft-identity`
62×	`add-sqr-sqrt` `add-cube-cbrt`
19×	`associate-/r*`
17×	`distribute-lft-out`
12×	`add-exp-log`
10×	`add-cbrt-cube`
8×	`div-exp`
7×	`associate-/l*`
6×	`div-inv`
5×	`add-log-exp`
4×	`pow1` `cbrt-undiv`
3×	`expm1-log1p-u` `fma-def` `insert-posit16` `log1p-expm1-u`
2×	`rec-exp` `clear-num` `frac-2neg` `flip3-+` `1-exp` `flip-+` `associate-/l/`
1×	`+-commutative` `sum-log` `associate-/r/` `pow-flip` `inv-pow`

Counts

3 → 145

Calls

3 calls:

Slowest

34.0ms	(/ (+ (exp a) (exp b)) (exp a))
30.0ms	(/ 1 (/ (+ (exp a) (exp b)) (exp a)))
8.0ms	(+ (exp a) (exp b))

series133.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

53.0ms	(/ (+ (exp a) (exp b)) (exp a))
47.0ms	(/ 1 (/ (+ (exp a) (exp b)) (exp a)))
33.0ms	(+ (exp a) (exp b))

simplify1.3s

Counts: 154 → 154

prune1.4s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes115.0ms

Accuracy

0% (0.0b remaining)

Error of 0.7b against oracle of 0.6b and baseline of 0.7b

bsearch2.0ms

end0.0ms

sample4.3s

Algorithm

intervals

Results

3.0s	3482×	body	10240	exit
1.1s	8000×	body	80	valid