Details

sample103.0ms

Algorithm

intervals

Results

41.0ms	110×	body	1280	valid
24.0ms	225×	body	80	valid
16.0ms	77×	body	640	valid
5.0ms	38×	body	320	valid
2.0ms	24×	body	160	valid

simplify18.0ms

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: 58.2b

localize14.0ms

Local error

Found 1 expressions with local error:

7.1b	(- (exp x) (exp (- x)))

rewrite30.0ms

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:

29.0ms

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

series62.0ms

Counts

1 → 3

Calls

1 calls:

62.0ms

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

simplify2.5s

Counts

31 → 31

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	73	547
1	158	401
2	370	308
3	1377	253
done	5000	244

prune88.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

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:

1.0ms

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

series102.0ms

Counts

1 → 3

Calls

1 calls:

101.0ms

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

simplify859.0ms

Counts

13 → 13

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	26	218
1	50	212
2	148	186
3	837	186
done	5001	186

prune51.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (exp (- x)))
0.0b	(sqrt (exp x))
0.0b	(sqrt (exp x))
7.2b	(- (sqrt (exp x)) (sqrt (exp (- x))))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

54×	`sqrt-prod`
49×	`add-sqr-sqrt`
42×	`*-un-lft-identity`
38×	`add-cube-cbrt`
36×	`prod-diff`
19×	`sqrt-pow1`
16×	`exp-prod`
7×	`pow1`
6×	`fma-neg` `add-log-exp`
4×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `difference-of-squares`
3×	`distribute-lft-neg-in` `rem-sqrt-square` `distribute-rgt-neg-in` `pow1/2`
2×	`sqrt-div` `distribute-lft-out--`
1×	`neg-sub0` `exp-neg` `neg-mul-1` `sub-neg` `flip3--` `exp-diff` `diff-log` `flip--`

Counts

4 → 125

Calls

4 calls:

12.0ms	(sqrt (exp (- x)))
5.0ms	(sqrt (exp x))
5.0ms	(sqrt (exp x))
33.0ms	(- (sqrt (exp x)) (sqrt (exp (- x))))

series137.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(sqrt (exp (- x)))
16.0ms	(sqrt (exp x))
13.0ms	(sqrt (exp x))
77.0ms	(- (sqrt (exp x)) (sqrt (exp (- x))))

simplify2.2s

Counts

137 → 137

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	142	2354
1	266	1665
2	518	1346
3	1514	1147
done	5001	1021

prune413.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (sqrt (exp x)) (sqrt (exp (- x)))) (fma 1/24 (pow x 3) (fma 1/1920 (pow x 5) x)))
0.0b	(fma 1/24 (pow x 3) (fma 1/1920 (pow x 5) x))
0.0b	(sqrt (exp (- x)))
0.0b	(sqrt (exp x))

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`sqrt-pow1`
13×	`exp-prod`
12×	`add-cube-cbrt`
8×	`pow1` `sqrt-prod`
6×	`add-exp-log` `add-cbrt-cube`
5×	`associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `associate-r` `fma-udef`
2×	`rem-sqrt-square` `pow1/2` `sqrt-div` `associate-*l/` `distribute-lft-out`
1×	`neg-sub0` `distribute-rgt-in` `exp-neg` `neg-mul-1` `distribute-lft-in` `flip3-+` `exp-diff` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

115.0ms	(* (+ (sqrt (exp x)) (sqrt (exp (- x)))) (fma 1/24 (pow x 3) (fma 1/1920 (pow x 5) x)))
0.0ms	(fma 1/24 (pow x 3) (fma 1/1920 (pow x 5) x))
7.0ms	(sqrt (exp (- x)))
3.0ms	(sqrt (exp x))

series314.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(* (+ (sqrt (exp x)) (sqrt (exp (- x)))) (fma 1/24 (pow x 3) (fma 1/1920 (pow x 5) x)))
92.0ms	(fma 1/24 (pow x 3) (fma 1/1920 (pow x 5) x))
18.0ms	(sqrt (exp (- x)))
21.0ms	(sqrt (exp x))

simplify995.0ms

Counts

93 → 93

Iterations

Useful iterations: done (992.0ms)

Iter	Nodes	Cost
0	155	1263
1	331	1187
2	1200	1065
done	5000	1054

prune442.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes43.0ms

Accuracy

0% (0.6b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	33
1	26	33
done	26	33

end0.0ms

sample3.9s

Algorithm

intervals

Results

1.7s	3349×	body	1280	valid
857.0ms	8189×	body	80	valid
666.0ms	2417×	body	640	valid
212.0ms	1270×	body	320	valid
72.0ms	681×	body	160	valid