Details

sample106.0ms

Algorithm

intervals

Results

79.0ms	109×	body	10240	exit
10.0ms	256×	body	80	valid

simplify2.0ms

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: 0.8b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp a) (exp b))
0.7b	(/ (exp a) (+ (exp a) (exp b)))

rewrite33.0ms

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-+` `log1p-expm1-u`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `div-exp` `div-inv`

Counts

2 → 52

Calls

2 calls:

14.0ms	(+ (exp a) (exp b))
16.0ms	(/ (exp a) (+ (exp a) (exp b)))

series100.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(+ (exp a) (exp b))
79.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify1.8s

Counts

58 → 58

Iterations

Iter	Nodes
done	5001
3	3653
2	626
1	184
0	82

prune268.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.5b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (exp a))
0.0b	(sqrt (exp a))
0.0b	(fma (sqrt (exp a)) (sqrt (exp a)) (exp b))
0.7b	(/ (exp a) (fma (sqrt (exp a)) (sqrt (exp a)) (exp b)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
8×	`sqrt-pow1`
6×	`pow1` `exp-prod` `add-cbrt-cube` `sqrt-prod`
5×	`add-exp-log`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`rem-sqrt-square` `pow1/2`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `fma-udef` `div-inv`

Counts

4 → 75

Calls

4 calls:

8.0ms	(sqrt (exp a))
3.0ms	(sqrt (exp a))
0.0ms	(fma (sqrt (exp a)) (sqrt (exp a)) (exp b))
6.0ms	(/ (exp a) (fma (sqrt (exp a)) (sqrt (exp a)) (exp b)))

series186.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(sqrt (exp a))
14.0ms	(sqrt (exp a))
79.0ms	(fma (sqrt (exp a)) (sqrt (exp a)) (exp b))
80.0ms	(/ (exp a) (fma (sqrt (exp a)) (sqrt (exp a)) (exp b)))

simplify777.0ms

Counts

87 → 87

Iterations

Iter	Nodes
done	5001
2	691
1	164
0	91

prune525.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.5b

localize15.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (exp a) (+ b (+ a 2)))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
15×	`times-frac`
12×	`distribute-lft-out`
11×	`add-sqr-sqrt` `add-cube-cbrt`
5×	`associate-/r*`
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-+` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 39

Calls

1 calls:

50.0ms

(/ (exp a) (+ b (+ a 2)))

series95.0ms

Counts

1 → 3

Calls

1 calls:

95.0ms

(/ (exp a) (+ b (+ a 2)))

simplify1.8s

Counts

42 → 42

Iterations

Iter	Nodes
done	5000
3	3658
2	576
1	159
0	70

prune188.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.5b

localize19.0ms

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

prune1.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.5b

regimes167.0ms

Accuracy

0% (0.2b remaining)

Error of 0.7b against oracle of 0.5b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	7
0	7

end0.0ms

sample3.5s

Algorithm

intervals

Results

2.6s	3482×	body	10240	exit
516.0ms	8000×	body	80	valid