Details

sample142.0ms

Algorithm

intervals

Results

110.0ms	112×	body	10240	exit
18.0ms	256×	body	80	valid

simplify3.0ms

Counts

1 → 1

Iterations

Iter	Nodes
2	7
1	7
0	6

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

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:

9.0ms	(+ (exp a) (exp b))
20.0ms	(/ (exp a) (+ (exp a) (exp b)))

series83.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(+ (exp a) (exp b))
46.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify1.1s

Counts

60 → 60

Iterations

Iter	Nodes
4	2640
3	1109
2	494
1	184
0	84

prune528.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.5b

localize25.0ms

Local error

Found 2 expressions with local error:

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

rewrite49.0ms

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:

17.0ms	(+ (exp b) (exp a))
31.0ms	(/ (exp a) (+ (exp b) (exp a)))

series86.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(+ (exp b) (exp a))
60.0ms	(/ (exp a) (+ (exp b) (exp a)))

simplify1.2s

Counts

60 → 60

Iterations

Iter	Nodes
4	2545
3	1099
2	496
1	183
0	82

prune516.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.5b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp b) (exp a))
0.0b	(expm1 (log1p (+ (exp b) (exp a))))
0.5b	(/ (exp a) (expm1 (log1p (+ (exp b) (exp a)))))
0.8b	(log1p (+ (exp b) (exp a)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
13×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`times-frac`
6×	`add-cbrt-cube` `add-log-exp`
5×	`expm1-log1p-u` `add-exp-log`
4×	`pow1` `insert-posit16` `log1p-expm1-u`
3×	`associate-/r` `fma-def` `associate-/l`
1×	`cbrt-undiv` `+-commutative` `log1p-udef` `expm1-log1p` `clear-num` `sum-log` `frac-2neg` `flip3-+` `div-exp` `log1p-expm1` `flip-+` `div-inv` `distribute-lft-out` `expm1-udef`

Counts

4 → 72

Calls

4 calls:

23.0ms	(+ (exp b) (exp a))
0.0ms	(expm1 (log1p (+ (exp b) (exp a))))
13.0ms	(/ (exp a) (expm1 (log1p (+ (exp b) (exp a)))))
1.0ms	(log1p (+ (exp b) (exp a)))

series206.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(+ (exp b) (exp a))
56.0ms	(expm1 (log1p (+ (exp b) (exp a))))
70.0ms	(/ (exp a) (expm1 (log1p (+ (exp b) (exp a)))))
46.0ms	(log1p (+ (exp b) (exp a)))

simplify1.2s

Counts

84 → 84

Iterations

Iter	Nodes
4	2405
3	1186
2	566
1	229
0	111

prune961.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.5b

localize15.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
1	0
0	0

prune1.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.5b

regimes106.0ms

Accuracy

0% (0.4b remaining)

Error of 1.0b against oracle of 0.6b and baseline of 1.0b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
2	9
1	9
0	8

end0.0ms

sample4.4s

Algorithm

intervals

Results

3.0s	3438×	body	10240	exit
1.2s	8000×	body	80	valid