Details

sample562.0ms

Algorithm

intervals

Results

526.0ms	102×	body	10240	exit
20.0ms	256×	body	80	valid

simplify8.0ms

Counts: 1 → 1

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 47

Calls

2 calls:

Slowest

18.0ms	(/ (exp a) (+ (exp a) (exp b)))
8.0ms	(+ (exp a) (exp b))

series79.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

54.0ms	(/ (exp a) (+ (exp a) (exp b)))
25.0ms	(+ (exp a) (exp b))

simplify842.0ms

Counts: 53 → 53

prune478.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize18.0ms

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)))))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
11×	`add-sqr-sqrt`
9×	`add-log-exp`
8×	`log-prod`
7×	`pow1` `add-cube-cbrt`
6×	`log-div` `exp-prod`
5×	`add-exp-log`
4×	`flip3-+` `add-cbrt-cube` `exp-sum` `flip-+` `insert-posit16` `associate--r+` `distribute-lft-out--` `associate--r-`
3×	`log-pow` `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 → 72

Calls

4 calls:

Slowest

22.0ms	(exp (- a (log (+ (exp a) (exp b)))))
9.0ms	(- a (log (+ (exp a) (exp b))))
9.0ms	(log (+ (exp a) (exp b)))
7.0ms	(+ (exp a) (exp b))

series193.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

64.0ms	(exp (- a (log (+ (exp a) (exp b)))))
49.0ms	(log (+ (exp a) (exp b)))
45.0ms	(- a (log (+ (exp a) (exp b))))
35.0ms	(+ (exp a) (exp b))

simplify1.2s

Counts: 84 → 84

prune929.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize33.0ms

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))

rewrite176.0ms

Algorithm

rewrite-expression-head

Rules

122×	`*-un-lft-identity`
98×	`sqrt-prod`
90×	`add-sqr-sqrt` `times-frac`
62×	`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×	`sqrt-div` `insert-posit16`
3×	`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 → 190

Calls

4 calls:

Slowest

107.0ms	(* (sqrt (/ (exp a) (+ (exp a) (exp b)))) (sqrt (/ (exp a) (+ (exp a) (exp b)))))
29.0ms	(/ (exp a) (+ (exp a) (exp b)))
21.0ms	(/ (exp a) (+ (exp a) (exp b)))
15.0ms	(+ (exp a) (exp b))

series155.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

56.0ms	(* (sqrt (/ (exp a) (+ (exp a) (exp b)))) (sqrt (/ (exp a) (+ (exp a) (exp b)))))
41.0ms	(/ (exp a) (+ (exp a) (exp b)))
38.0ms	(/ (exp a) (+ (exp a) (exp b)))
21.0ms	(+ (exp a) (exp b))

simplify1.3s

Counts: 202 → 202

prune2.1s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.2b

localize9.0ms

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

regimes174.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample4.0s

Algorithm

intervals

Results

2.7s	3510×	body	10240	exit
1.0s	8000×	body	80	valid