Details

sample108.0ms

Algorithm

intervals

Results

45.0ms	104×	body	1280	valid
22.0ms	82×	body	640	valid
12.0ms	269×	body	80	valid
7.0ms	42×	body	320	valid
2.0ms	19×	body	160	valid

simplify46.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.5b

localize10.0ms

Local error

Found 1 expressions with local error:

6.5b	(- (exp x) (exp (- x)))

rewrite27.0ms

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:

25.0ms

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

series55.0ms

Counts

1 → 3

Calls

1 calls:

55.0ms

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

simplify756.0ms

Counts

31 → 31

Iterations

Useful iterations: done (755.0ms)

Iter	Nodes	Cost
0	73	547
1	170	404
2	671	308
done	5000	254

prune73.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

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)))

series62.0ms

Counts

1 → 3

Calls

1 calls:

62.0ms

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

simplify1.3s

Counts

13 → 13

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	26	218
1	54	212
2	211	186
3	1462	186
done	5000	186

prune62.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt (exp x))
0.0b	(sqrt (exp x))
6.5b	(fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x))))

rewrite8.0ms

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:

3.0ms	(sqrt (exp x))
3.0ms	(sqrt (exp x))
0.0ms	(fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x))))

series142.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(sqrt (exp x))
19.0ms	(sqrt (exp x))
105.0ms	(fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x))))

simplify656.0ms

Counts

55 → 55

Iterations

Useful iterations: done (654.0ms)

Iter	Nodes	Cost
0	61	387
1	105	303
2	264	277
3	1000	277
done	5001	273

prune168.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt (exp x))
0.1b	(pow (exp 1) (/ x 2))
6.5b	(fma (pow (exp 1) (/ x 2)) (sqrt (exp x)) (- (exp (- x))))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `*-un-lft-identity`
13×	`pow-unpow`
9×	`times-frac`
6×	`exp-prod`
5×	`pow1`
4×	`pow-pow` `sqrt-pow1`
3×	`add-exp-log` `expm1-log1p-u` `unpow-prod-down` `sqrt-prod` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
1×	`pow-to-exp` `rem-sqrt-square` `pow1/2` `pow-exp` `fma-udef` `div-inv` `sqr-pow`

Counts

3 → 60

Calls

3 calls:

5.0ms	(sqrt (exp x))
9.0ms	(pow (exp 1) (/ x 2))
1.0ms	(fma (pow (exp 1) (/ x 2)) (sqrt (exp x)) (- (exp (- x))))

series191.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(sqrt (exp x))
20.0ms	(pow (exp 1) (/ x 2))
147.0ms	(fma (pow (exp 1) (/ x 2)) (sqrt (exp x)) (- (exp (- x))))

simplify2.5s

Counts

69 → 69

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	119	641
1	284	537
2	908	502
3	4640	498
done	5000	496

prune320.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

regimes16.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample3.8s

Algorithm

intervals

Results

1.5s	3365×	body	1280	valid
1.1s	2513×	body	640	valid
507.0ms	8094×	body	80	valid
281.0ms	1252×	body	320	valid
57.0ms	599×	body	160	valid