Details

sample76.0ms

Algorithm

intervals

Results

53.0ms	92×	body	10240	exit
12.0ms	256×	body	80	valid

simplify3.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	7
1	7
0	6

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize24.0ms

Local error

Found 1 expressions with local error:

1.0b	(/ (exp a) (+ (exp a) (exp b)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 36

Calls

1 calls:

18.0ms

(/ (exp a) (+ (exp a) (exp b)))

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

(/ (exp a) (+ (exp a) (exp b)))

simplify3.6s

Counts

39 → 39

Iterations

Iter	Nodes
done	5001
4	2568
3	960
2	439
1	156
0	70

prune183.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.7b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b	(exp (- a (log (+ (exp a) (exp b)))))
0.2b	(- a (log (+ (exp a) (exp b))))
2.7b	(log (+ (exp a) (exp b)))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 92

Calls

3 calls:

13.0ms	(exp (- a (log (+ (exp a) (exp b)))))
26.0ms	(- a (log (+ (exp a) (exp b))))
13.0ms	(log (+ (exp a) (exp b)))

series166.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(exp (- a (log (+ (exp a) (exp b)))))
57.0ms	(- a (log (+ (exp a) (exp b))))
45.0ms	(log (+ (exp a) (exp b)))

simplify3.0s

Counts

101 → 101

Iterations

Iter	Nodes
done	5000
4	4492
3	1599
2	640
1	301
0	142

prune405.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.7b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(- a (log (+ (exp a) (exp b))))
0.4b	(* (sqrt (exp (- a (log (+ (exp a) (exp b)))))) (sqrt (exp (- a (log (+ (exp a) (exp b)))))))
2.7b	(log (+ (exp a) (exp b)))
2.7b	(log (+ (exp a) (exp b)))

rewrite174.0ms

Algorithm

rewrite-expression-head

Rules

142×	`*-un-lft-identity`
98×	`sqrt-prod`
87×	`add-sqr-sqrt`
80×	`sqrt-pow1` `exp-sum`
72×	`exp-prod` `prod-diff`
61×	`pow1` `add-cube-cbrt`
42×	`log-pow`
38×	`distribute-lft-out--`
32×	`swap-sqr`
22×	`associate-r` `associate-l`
17×	`pow-prod-up`
15×	`pow-prod-down` `pow-sqr`
14×	`log-div`
12×	`log-prod`
10×	`associate--r-`
8×	`pow1/2` `add-exp-log`
7×	`sub-neg` `flip3-+` `flip-+` `difference-of-squares`
6×	`add-cbrt-cube`
5×	`add-log-exp`
4×	`expm1-log1p-u` `exp-diff` `sqrt-div` `insert-posit16` `log1p-expm1-u` `associate--r+` `unswap-sqr`
3×	`fma-neg` `distribute-lft-out`
2×	`rem-log-exp`
1×	`pow2` `frac-times` `rem-square-sqrt` `pow-plus` `flip3--` `sqrt-unprod` `diff-log` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod` `flip--`

Counts

4 → 222

Calls

4 calls:

21.0ms	(- a (log (+ (exp a) (exp b))))
131.0ms	(* (sqrt (exp (- a (log (+ (exp a) (exp b)))))) (sqrt (exp (- a (log (+ (exp a) (exp b)))))))
6.0ms	(log (+ (exp a) (exp b)))
6.0ms	(log (+ (exp a) (exp b)))

series213.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(- a (log (+ (exp a) (exp b))))
66.0ms	(* (sqrt (exp (- a (log (+ (exp a) (exp b)))))) (sqrt (exp (- a (log (+ (exp a) (exp b)))))))
62.0ms	(log (+ (exp a) (exp b)))
41.0ms	(log (+ (exp a) (exp b)))

simplify2.6s

Counts

234 → 234

Iterations

Iter	Nodes
done	5003
3	2689
2	1036
1	506
0	253

prune815.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.7b

localize7.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune0.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.7b

regimes140.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	7
1	7
0	6

end0.0ms

sample3.7s

Algorithm

intervals

Results

3.0s	3556×	body	10240	exit
458.0ms	8000×	body	80	valid