Details

sample65.0ms

Algorithm

intervals

Results

30.0ms	107×	body	1280	valid
14.0ms	86×	body	640	valid
6.0ms	275×	body	80	valid
4.0ms	33×	body	320	valid
1.0ms	23×	body	160	valid

simplify28.9s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	8
1	14	8
2	24	8
3	32	8
4	37	8
5	43	8
6	58	8
7	105	8
8	265	8
9	1777	8
done	5000	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.7b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

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:

8.0ms

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

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

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

simplify2.1s

Counts

31 → 31

Iterations

Useful iterations: 3 (254.0ms)

Iter	Nodes	Cost
0	73	547
1	165	401
2	457	308
3	2131	253
done	5000	253

prune66.0ms

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))

series160.0ms

Counts

1 → 3

Calls

1 calls:

160.0ms

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

simplify482.0ms

Counts

13 → 13

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	18	140
1	27	137
2	64	121
3	204	121
4	861	121
done	5000	121

prune40.0ms

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))))

series105.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(sqrt (exp x))
12.0ms	(sqrt (exp x))
81.0ms	(fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x))))

simplify1.0s

Counts

55 → 55

Iterations

Useful iterations: 4 (307.0ms)

Iter	Nodes	Cost
0	61	387
1	105	291
2	225	277
3	609	277
4	2030	273
done	5001	273

prune129.0ms

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)))

rewrite31.0ms

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))))
7.0ms	(- (exp x) (exp (- x)))
8.0ms	(- (exp x) (exp (- x)))
8.0ms	(- (exp x) (exp (- x)))

series302.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(cbrt (- (exp x) (exp (- x))))
50.0ms	(- (exp x) (exp (- x)))
36.0ms	(- (exp x) (exp (- x)))
39.0ms	(- (exp x) (exp (- x)))

simplify3.1s

Counts

113 → 113

Iterations

Useful iterations: 3 (422.0ms)

Iter	Nodes	Cost
0	108	1921
1	237	1471
2	689	1143
3	3351	963
done	5001	963

prune277.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes33.0ms

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

sample1.9s

Algorithm

intervals

Results

930.0ms	3339×	body	1280	valid
407.0ms	2493×	body	640	valid
192.0ms	8178×	body	80	valid
123.0ms	1232×	body	320	valid
40.0ms	654×	body	160	valid