Details

sample69.0ms

Algorithm

intervals

Results

31.0ms	107×	body	1280	valid
15.0ms	86×	body	640	valid
7.0ms	275×	body	80	valid
4.0ms	33×	body	320	valid
2.0ms	23×	body	160	valid

simplify12.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	8
1	14	8
2	24	8
3	30	8
4	34	8
done	34	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.7b

localize6.0ms

Local error

Found 1 expressions with local error:

6.2b	(- (exp x) (exp (- x)))

rewrite8.0ms

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:

7.0ms

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

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

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

simplify1.0s

Counts

31 → 31

Iterations

Useful iterations: 3 (245.0ms)

Iter	Nodes	Cost
0	73	547
1	156	401
2	385	308
3	1443	253
done	5001	253

prune73.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 1 expressions with local error:

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

series122.0ms

Counts

1 → 3

Calls

1 calls:

122.0ms

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

simplify3.1s

Counts

13 → 13

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	18	140
1	27	137
2	61	121
3	188	121
4	796	121
5	4604	121
done	5000	121

prune41.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt (exp x))
0.0b	(sqrt (exp x))
6.2b	(fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x))))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
8×	`sqrt-pow1`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`exp-prod` `sqrt-prod`
5×	`pow1`
3×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `pow1/2`
1×	`fma-udef`

Counts

3 → 46

Calls

3 calls:

1.0ms	(sqrt (exp x))
1.0ms	(sqrt (exp x))
0.0ms	(fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x))))

series109.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(sqrt (exp x))
12.0ms	(sqrt (exp x))
85.0ms	(fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x))))

simplify967.0ms

Counts

55 → 55

Iterations

Useful iterations: 4 (210.0ms)

Iter	Nodes	Cost
0	61	387
1	104	291
2	200	277
3	428	277
4	1175	273
done	5000	273

prune128.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (- (exp x) (exp (- x))))
6.2b	(- (exp x) (exp (- x)))
6.2b	(- (exp x) (exp (- x)))
6.2b	(- (exp x) (exp (- x)))

rewrite33.0ms

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:

5.0ms	(cbrt (- (exp x) (exp (- x))))
11.0ms	(- (exp x) (exp (- x)))
7.0ms	(- (exp x) (exp (- x)))
7.0ms	(- (exp x) (exp (- x)))

series259.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(cbrt (- (exp x) (exp (- x))))
36.0ms	(- (exp x) (exp (- x)))
41.0ms	(- (exp x) (exp (- x)))
36.0ms	(- (exp x) (exp (- x)))

simplify1.1s

Counts

113 → 113

Iterations

Useful iterations: 3 (353.0ms)

Iter	Nodes	Cost
0	108	1921
1	227	1471
2	567	1143
3	2075	963
done	5001	963

prune250.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes31.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	15
1	14	15
done	14	15

end0.0ms

sample2.0s

Algorithm

intervals

Results

969.0ms	3339×	body	1280	valid
439.0ms	2493×	body	640	valid
216.0ms	8178×	body	80	valid
131.0ms	1232×	body	320	valid
44.0ms	654×	body	160	valid