Details

sample119.0ms

Algorithm

intervals

Results

90.0ms	102×	body	10240	exit
16.0ms	256×	body	80	valid

simplify5.0ms

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize10.0ms

Local error

Found 2 expressions with local error:

0.5b	(/ (exp a) (+ (exp a) (exp b)))
0.0b	(+ (exp a) (exp b))

rewrite32.0ms

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

23.0ms	(/ (exp a) (+ (exp a) (exp b)))
8.0ms	(+ (exp a) (exp b))

series78.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

51.0ms	(/ (exp a) (+ (exp a) (exp b)))
27.0ms	(+ (exp a) (exp b))

simplify1.1s

Counts: 60 → 60

prune522.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize25.0ms

Local error

Found 4 expressions with local error:

1.7b	(log (+ (exp a) (exp b)))
1.0b	(- a (log (+ (exp a) (exp b))))
0.0b	(+ (exp a) (exp b))
0.0b	(exp (- a (log (+ (exp a) (exp b)))))

rewrite67.0ms

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

21.0ms	(- a (log (+ (exp a) (exp b))))
18.0ms	(+ (exp a) (exp b))
14.0ms	(exp (- a (log (+ (exp a) (exp b)))))
13.0ms	(log (+ (exp a) (exp b)))

series170.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

64.0ms	(exp (- a (log (+ (exp a) (exp b)))))
42.0ms	(- a (log (+ (exp a) (exp b))))
36.0ms	(log (+ (exp a) (exp b)))
27.0ms	(+ (exp a) (exp b))

simplify856.0ms

Counts: 122 → 122

prune1.4s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ (exp a) (+ (exp a) (exp b)))
0.5b	(/ (exp a) (+ (exp a) (exp b)))
0.3b	(* (sqrt (/ (exp a) (+ (exp a) (exp b)))) (sqrt (/ (exp a) (+ (exp a) (exp b)))))
0.0b	(+ (exp a) (exp b))

rewrite185.0ms

Algorithm

rewrite-expression-head

Rules

123×	`*-un-lft-identity`
98×	`sqrt-prod`
91×	`add-sqr-sqrt`
90×	`times-frac`
63×	`add-cube-cbrt`
29×	`swap-sqr`
27×	`distribute-lft-out`
21×	`associate-r` `associate-l`
19×	`pow1`
12×	`associate-/r/`
10×	`add-cbrt-cube`
9×	`unswap-sqr`
8×	`associate-/r*` `sqrt-pow1` `pow1/2` `add-exp-log`
7×	`flip3-+` `flip-+`
6×	`div-inv` `associate-/l*` `add-log-exp`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `sqrt-div` `insert-posit16` `log1p-expm1-u`
3×	`fma-def` `pow-prod-down` `pow-sqr`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp`
1×	`pow2` `frac-times` `+-commutative` `sum-log` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod`

Counts

4 → 201

Calls

4 calls:

Slowest

102.0ms	(* (sqrt (/ (exp a) (+ (exp a) (exp b)))) (sqrt (/ (exp a) (+ (exp a) (exp b)))))
30.0ms	(/ (exp a) (+ (exp a) (exp b)))
28.0ms	(/ (exp a) (+ (exp a) (exp b)))
18.0ms	(+ (exp a) (exp b))

series187.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

63.0ms	(* (sqrt (/ (exp a) (+ (exp a) (exp b)))) (sqrt (/ (exp a) (+ (exp a) (exp b)))))
59.0ms	(/ (exp a) (+ (exp a) (exp b)))
41.0ms	(/ (exp a) (+ (exp a) (exp b)))
24.0ms	(+ (exp a) (exp b))

simplify1.4s

Counts: 213 → 213

prune2.0s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 0 expressions with local error:

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

Calls

0 calls:

Slowest

series0.0ms

Counts

0 → 0

Calls

0 calls:

Slowest

simplify0.0ms

Counts: 0 → 0

prune0.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.2b

regimes185.0ms

Accuracy

0% (0.0b remaining)

Error of 0.6b against oracle of 0.5b and baseline of 0.6b

bsearch2.0ms

end0.0ms

sample4.3s

Algorithm

intervals

Results

3.3s	3510×	body	10240	exit
663.0ms	8000×	body	80	valid