Details

sample133.0ms

Algorithm

intervals

Results

99.0ms	118×	body	10240	exit
13.0ms	256×	body	80	valid

simplify6.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	7	8
done	7	8

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite57.0ms

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-+`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

2 → 45

Calls

2 calls:

20.0ms	(+ (exp a) (exp b))
35.0ms	(/ (exp a) (+ (exp a) (exp b)))

series100.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(+ (exp a) (exp b))
69.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify2.6s

Counts

51 → 51

Iterations

Useful iterations: 3 (231.0ms)

Iter	Nodes	Cost
0	78	616
1	164	587
2	382	548
3	730	546
4	1872	546
done	5000	546

prune155.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.5b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (- a (log (+ (exp a) (exp b)))))
0.0b	(+ (exp a) (exp b))
2.1b	(- a (log (+ (exp a) (exp b))))
4.5b	(log (+ (exp a) (exp b)))

rewrite77.0ms

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-+` `exp-sum` `add-cbrt-cube` `flip-+` `associate--r+` `distribute-lft-out--` `associate--r-`
3×	`log-pow` `distribute-lft-out`
2×	`sub-neg` `diff-log` `rem-exp-log` `difference-of-squares`
1×	`+-commutative` `flip3--` `exp-diff` `rem-log-exp` `sum-log` `flip--`

Counts

4 → 68

Calls

4 calls:

27.0ms	(exp (- a (log (+ (exp a) (exp b)))))
12.0ms	(+ (exp a) (exp b))
23.0ms	(- a (log (+ (exp a) (exp b))))
13.0ms	(log (+ (exp a) (exp b)))

series230.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(exp (- a (log (+ (exp a) (exp b)))))
24.0ms	(+ (exp a) (exp b))
61.0ms	(- a (log (+ (exp a) (exp b))))
62.0ms	(log (+ (exp a) (exp b)))

simplify2.2s

Counts

80 → 80

Iterations

Useful iterations: 3 (341.0ms)

Iter	Nodes	Cost
0	107	890
1	234	819
2	480	746
3	934	742
4	2098	742
done	5000	742

prune310.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.5b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp b) (exp a))
0.0b	(/ 1 (+ (exp b) (exp a)))
0.5b	(* (exp a) (/ 1 (+ (exp b) (exp a))))

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
28×	`add-sqr-sqrt`
26×	`times-frac`
21×	`add-cube-cbrt`
18×	`associate-r`
12×	`add-exp-log`
10×	`add-cbrt-cube`
8×	`distribute-lft-out`
6×	`pow1`
5×	`add-log-exp`
4×	`div-exp` `prod-exp` `associate-/r*` `associate-/r/`
3×	`flip3-+` `associate-l` `flip-+` `associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `1-exp` `cbrt-unprod` `div-inv`
1×	`+-commutative` `pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `un-div-inv` `-commutative` `inv-pow`

Counts

3 → 90

Calls

3 calls:

14.0ms	(+ (exp b) (exp a))
19.0ms	(/ 1 (+ (exp b) (exp a)))
98.0ms	(* (exp a) (/ 1 (+ (exp b) (exp a))))

series123.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(+ (exp b) (exp a))
44.0ms	(/ 1 (+ (exp b) (exp a)))
44.0ms	(* (exp a) (/ 1 (+ (exp b) (exp a))))

simplify4.4s

Counts

99 → 99

Iterations

Useful iterations: 3 (591.0ms)

Iter	Nodes	Cost
0	116	1155
1	272	966
2	685	871
3	1437	869
4	3359	869
done	5001	869

prune274.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.5b

localize12.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune1.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.5b

regimes76.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	12	10
done	12	10

end0.0ms

sample3.6s

Algorithm

intervals

Results

2.3s	3455×	body	10240	exit
897.0ms	8000×	body	80	valid