Details

sample70.0ms

Algorithm

intervals

Results

30.0ms	107×	body	1280	valid
15.0ms	71×	body	640	valid
7.0ms	294×	body	80	valid
4.0ms	44×	body	320	valid
1.0ms	24×	body	160	valid

simplify226.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	5
1	23	5
2	31	5
3	36	5
4	41	5
5	65	5
6	108	5
7	267	5
8	1342	5
9	5001	5
done	5001	5

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.6b

localize6.0ms

Local error

Found 1 expressions with local error:

7.3b	(- (exp x) (exp (- x)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`prod-diff`
8×	`add-cube-cbrt`
3×	`fma-neg` `add-log-exp`
1×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 28

Calls

1 calls:

15.0ms

(- (exp x) (exp (- x)))

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

(- (exp x) (exp (- x)))

simplify115.0ms

Counts

31 → 31

Iterations

Useful iterations: 3 (112.0ms)

Iter	Nodes	Cost
0	158	354
1	416	228
2	2421	226
3	5002	203
done	5002	203

prune65.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))

series57.0ms

Counts

1 → 3

Calls

1 calls:

57.0ms

(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))

simplify36.0ms

Counts

13 → 13

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	49	89
1	150	78
2	862	78
3	5001	78
done	5001	78

prune40.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (- (exp x) (exp (- x))))
7.3b	(- (exp x) (exp (- x)))
7.3b	(- (exp x) (exp (- x)))
7.3b	(- (exp x) (exp (- x)))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt` `*-un-lft-identity`
27×	`prod-diff`
26×	`add-cube-cbrt`
10×	`add-log-exp`
9×	`fma-neg`
5×	`cbrt-prod`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `flip3--` `add-cbrt-cube` `flip--` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
3×	`sub-neg` `diff-log`
2×	`cbrt-div`
1×	`pow1/3`

Counts

4 → 101

Calls

4 calls:

10.0ms	(cbrt (- (exp x) (exp (- x))))
16.0ms	(- (exp x) (exp (- x)))
16.0ms	(- (exp x) (exp (- x)))
20.0ms	(- (exp x) (exp (- x)))

series266.0ms

Counts

4 → 12

Calls

4 calls:

144.0ms	(cbrt (- (exp x) (exp (- x))))
43.0ms	(- (exp x) (exp (- x)))
37.0ms	(- (exp x) (exp (- x)))
42.0ms	(- (exp x) (exp (- x)))

simplify194.0ms

Counts

113 → 113

Iterations

Useful iterations: 3 (185.0ms)

Iter	Nodes	Cost
0	229	1260
1	657	853
2	3923	840
3	5001	799
done	5001	799

prune255.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt (+ (sqrt (exp x)) (sqrt (exp (- x)))))
7.3b	(- (exp x) (exp (- x)))
7.3b	(- (exp x) (exp (- x)))
7.5b	(- (sqrt (exp x)) (sqrt (exp (- x))))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

57×	`add-sqr-sqrt` `*-un-lft-identity`
54×	`prod-diff`
47×	`sqrt-prod`
45×	`add-cube-cbrt`
12×	`fma-neg`
10×	`add-log-exp`
6×	`difference-of-squares`
5×	`cbrt-prod`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `distribute-lft-out--`
3×	`sub-neg` `flip3--` `diff-log` `flip--`
2×	`cbrt-div` `distribute-lft-out`
1×	`flip3-+` `pow1/3` `flip-+`

Counts

4 → 135

Calls

4 calls:

14.0ms	(cbrt (+ (sqrt (exp x)) (sqrt (exp (- x)))))
15.0ms	(- (exp x) (exp (- x)))
16.0ms	(- (exp x) (exp (- x)))
23.0ms	(- (sqrt (exp x)) (sqrt (exp (- x))))

series305.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(cbrt (+ (sqrt (exp x)) (sqrt (exp (- x)))))
38.0ms	(- (exp x) (exp (- x)))
44.0ms	(- (exp x) (exp (- x)))
60.0ms	(- (sqrt (exp x)) (sqrt (exp (- x))))

simplify55.0ms

Counts

147 → 147

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	403	2276
1	1255	1559
2	5001	1491
done	5001	1491

prune401.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes42.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	6
1	14	6
done	14	6

end0.0ms

sample2.0s

Algorithm

intervals

Results

927.0ms	3403×	body	1280	valid
405.0ms	2528×	body	640	valid
188.0ms	8097×	body	80	valid
116.0ms	1187×	body	320	valid
36.0ms	616×	body	160	valid