Details

sample20.0ms

Algorithm

intervals

Results

11.0ms

527×

body

valid

simplify4.4s

Counts

1 → 1

Iterations

Useful iterations: 4 (15.0ms)

Iter	Nodes	Cost
0	6	7
1	11	7
2	25	7
3	45	7
4	77	6
5	148	6
6	419	6
7	1425	6
8	4738	6
done	5000	6

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(exp (- (- 1.0 (* x x))))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

12×	`exp-prod`
7×	`add-sqr-sqrt`
5×	`add-cube-cbrt` `distribute-neg-in` `*-un-lft-identity` `exp-sum` `add-log-exp`
4×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
3×	`prod-diff` `rem-exp-log`
2×	`neg-log` `difference-of-squares`
1×	`pow1` `add-exp-log` `neg-sub0` `exp-neg` `expm1-log1p-u` `neg-mul-1` `sub-neg` `exp-diff` `diff-log` `add-cbrt-cube` `log1p-expm1-u`

Counts

1 → 31

Calls

1 calls:

12.0ms

(exp (- (- 1.0 (* x x))))

series24.0ms

Counts

1 → 3

Calls

1 calls:

24.0ms

(exp (- (- 1.0 (* x x))))

simplify3.3s

Counts

34 → 34

Iterations

Useful iterations: 4 (2.4s)

Iter	Nodes	Cost
0	75	310
1	139	298
2	295	256
3	1023	230
4	4686	225
done	5000	225

prune66.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(exp (- (pow x 2) 1.0))
0.0b	(exp (- (pow x 2) 1.0))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

52×	`exp-sum`
48×	`prod-diff`
44×	`add-sqr-sqrt`
36×	`*-un-lft-identity`
32×	`add-cube-cbrt`
20×	`unpow-prod-down`
16×	`exp-prod`
8×	`unpow2` `add-log-exp` `difference-of-squares` `sqr-pow`
4×	`rem-exp-log`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `exp-diff` `diff-log` `add-cbrt-cube` `log1p-expm1-u` `distribute-lft-out--`

Counts

2 → 92

Calls

2 calls:

22.0ms	(exp (- (pow x 2) 1.0))
25.0ms	(exp (- (pow x 2) 1.0))

series46.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(exp (- (pow x 2) 1.0))
24.0ms	(exp (- (pow x 2) 1.0))

simplify2.8s

Counts

98 → 98

Iterations

Useful iterations: 4 (1.4s)

Iter	Nodes	Cost
0	119	1764
1	203	1250
2	426	958
3	1054	692
4	4453	654
done	5000	654

prune151.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(exp (- (+ (sqrt 1.0) x)))
0.0b	(pow (exp (- (+ (sqrt 1.0) x))) (- (sqrt 1.0) x))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

32×	`*-un-lft-identity`
26×	`add-sqr-sqrt`
24×	`exp-prod`
22×	`add-cube-cbrt`
20×	`unpow-prod-up`
18×	`prod-diff`
13×	`pow-pow`
10×	`sqrt-prod`
8×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
6×	`pow-unpow` `add-log-exp`
4×	`unpow-prod-down` `distribute-lft-out`
3×	`pow1` `rem-exp-log`
2×	`add-exp-log` `expm1-log1p-u` `neg-mul-1` `distribute-neg-in` `exp-sum` `neg-log` `add-cbrt-cube` `log1p-expm1-u` `difference-of-squares`
1×	`neg-sub0` `exp-neg` `pow-to-exp` `sub-neg` `exp-diff` `pow-exp` `sum-log` `distribute-lft-out--` `pow-sub` `sqr-pow`

Counts

2 → 83

Calls

2 calls:

27.0ms	(exp (- (+ (sqrt 1.0) x)))
43.0ms	(pow (exp (- (+ (sqrt 1.0) x))) (- (sqrt 1.0) x))

series239.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(exp (- (+ (sqrt 1.0) x)))
209.0ms	(pow (exp (- (+ (sqrt 1.0) x))) (- (sqrt 1.0) x))

simplify1.6s

Counts

89 → 89

Iterations

Useful iterations: 3 (811.0ms)

Iter	Nodes	Cost
0	162	1509
1	363	1290
2	910	1156
3	3097	1115
done	5000	1115

prune161.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp (- (+ (sqrt 1.0) x))) (- (sqrt 1.0) x))
1.0b	(cbrt (pow (exp (- (+ (sqrt 1.0) x))) (- (sqrt 1.0) x)))
1.0b	(cbrt (pow (exp (- (+ (sqrt 1.0) x))) (- (sqrt 1.0) x)))
1.0b	(cbrt (pow (exp (- (+ (sqrt 1.0) x))) (- (sqrt 1.0) x)))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

84×	`cbrt-prod`
80×	`unpow-prod-up`
72×	`prod-diff`
69×	`*-un-lft-identity`
67×	`add-sqr-sqrt`
63×	`add-cube-cbrt`
37×	`sqrt-prod`
16×	`unpow-prod-down`
13×	`pow-pow`
12×	`exp-prod`
6×	`pow-unpow`
5×	`pow1`
4×	`add-exp-log` `distribute-lft-neg-in` `expm1-log1p-u` `sub-neg` `distribute-neg-in` `distribute-rgt-neg-in` `exp-sum` `add-cbrt-cube` `log1p-expm1-u` `pow-sub` `add-log-exp` `sqr-pow`
3×	`cbrt-div` `pow1/3`
2×	`distribute-lft-out` `difference-of-squares`
1×	`pow-to-exp` `neg-mul-1` `pow-exp` `distribute-lft-out--`

Counts

4 → 173

Calls

4 calls:

43.0ms	(pow (exp (- (+ (sqrt 1.0) x))) (- (sqrt 1.0) x))
18.0ms	(cbrt (pow (exp (- (+ (sqrt 1.0) x))) (- (sqrt 1.0) x)))
18.0ms	(cbrt (pow (exp (- (+ (sqrt 1.0) x))) (- (sqrt 1.0) x)))
21.0ms	(cbrt (pow (exp (- (+ (sqrt 1.0) x))) (- (sqrt 1.0) x)))

series1.5s

Counts

4 → 12

Calls

4 calls:

216.0ms	(pow (exp (- (+ (sqrt 1.0) x))) (- (sqrt 1.0) x))
423.0ms	(cbrt (pow (exp (- (+ (sqrt 1.0) x))) (- (sqrt 1.0) x)))
420.0ms	(cbrt (pow (exp (- (+ (sqrt 1.0) x))) (- (sqrt 1.0) x)))
422.0ms	(cbrt (pow (exp (- (+ (sqrt 1.0) x))) (- (sqrt 1.0) x)))

simplify1.6s

Counts

185 → 185

Iterations

Useful iterations: 3 (807.0ms)

Iter	Nodes	Cost
0	186	4968
1	388	4212
2	915	3704
3	3025	3541
done	5001	3541

prune351.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes13.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
done	8	15

end0.0ms

sample528.0ms

Algorithm

intervals

Results

344.0ms

15963×

body

valid