Details

sample66.0ms

Algorithm

intervals

Results

29.0ms	107×	body	1280	valid
12.0ms	71×	body	640	valid
7.0ms	294×	body	80	valid
4.0ms	44×	body	320	valid
1.0ms	24×	body	160	valid

simplify220.0ms

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	103	5
7	250	5
8	1252	5
9	5001	5
done	5001	5

prune2.0ms

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

3×	`add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
1×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 14

Calls

1 calls:

16.0ms

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

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

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

simplify592.0ms

Counts

17 → 17

Iterations

Useful iterations: 3 (28.0ms)

Iter	Nodes	Cost
0	100	120
1	257	108
2	763	107
3	4896	105
4	5001	105
done	5001	105

prune51.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
0.0b	(+ (* 1/60 (pow x 5)) (* 2 x))
0.0b	(* 1/60 (pow x 5))
0.1b	(* 1/3 (pow x 3))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`associate-r`
14×	`add-exp-log`
11×	`add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
8×	`unpow-prod-down` `add-cbrt-cube`
7×	`unswap-sqr`
6×	`associate-l` `prod-exp`
4×	`pow1` `cube-prod` `sum-log` `sqr-pow`
2×	`+-commutative` `pow-to-exp` `flip3-+` `pow-exp` `*-commutative` `cbrt-unprod` `flip-+`
1×	`cube-mult` `associate-+r+` `unpow3`

Counts

4 → 80

Calls

4 calls:

20.0ms	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
12.0ms	(+ (* 1/60 (pow x 5)) (* 2 x))
11.0ms	(* 1/60 (pow x 5))
12.0ms	(* 1/3 (pow x 3))

series281.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
137.0ms	(+ (* 1/60 (pow x 5)) (* 2 x))
53.0ms	(* 1/60 (pow x 5))
36.0ms	(* 1/3 (pow x 3))

simplify51.0ms

Counts

92 → 92

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	354	471
1	1531	437
2	5002	436
done	5002	436

prune195.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

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)))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-log-exp`
5×	`cbrt-prod` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `flip3--` `add-cbrt-cube` `flip--` `distribute-lft-out--` `difference-of-squares`
3×	`sub-neg` `diff-log`
2×	`cbrt-div`
1×	`pow1/3`

Counts

4 → 57

Calls

4 calls:

9.0ms	(cbrt (- (exp x) (exp (- x))))
13.0ms	(- (exp x) (exp (- x)))
13.0ms	(- (exp x) (exp (- x)))
16.0ms	(- (exp x) (exp (- x)))

series255.0ms

Counts

4 → 12

Calls

4 calls:

144.0ms	(cbrt (- (exp x) (exp (- x))))
36.0ms	(- (exp x) (exp (- x)))
36.0ms	(- (exp x) (exp (- x)))
40.0ms	(- (exp x) (exp (- x)))

simplify66.0ms

Counts

69 → 69

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	171	546
1	478	481
2	1845	471
3	5001	471
done	5001	471

prune200.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize18.0ms

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))))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-log-exp`
8×	`sqrt-prod`
6×	`difference-of-squares`
5×	`cbrt-prod` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `distribute-lft-out--`
3×	`sub-neg` `flip3--` `diff-log` `flip--`
2×	`cbrt-div` `distribute-lft-out`
1×	`flip3-+` `pow1/3` `flip-+`

Counts

4 → 61

Calls

4 calls:

13.0ms	(cbrt (+ (sqrt (exp x)) (sqrt (exp (- x)))))
13.0ms	(- (exp x) (exp (- x)))
13.0ms	(- (exp x) (exp (- x)))
22.0ms	(- (sqrt (exp x)) (sqrt (exp (- x))))

series293.0ms

Counts

4 → 12

Calls

4 calls:

155.0ms	(cbrt (+ (sqrt (exp x)) (sqrt (exp (- x)))))
36.0ms	(- (exp x) (exp (- x)))
41.0ms	(- (exp x) (exp (- x)))
62.0ms	(- (sqrt (exp x)) (sqrt (exp (- x))))

simplify139.0ms

Counts

73 → 73

Iterations

Useful iterations: 3 (133.0ms)

Iter	Nodes	Cost
0	235	660
1	736	608
2	3195	599
3	5001	597
done	5001	597

prune256.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes71.0ms

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	20	8
1	20	8
done	20	8

end0.0ms

sample2.0s

Algorithm

intervals

Results

923.0ms	3403×	body	1280	valid
405.0ms	2528×	body	640	valid
192.0ms	8097×	body	80	valid
113.0ms	1187×	body	320	valid
36.0ms	616×	body	160	valid