Details

sample19.0ms

Algorithm

intervals

Results

11.0ms

527×

body

valid

simplify1.7s

Counts

1 → 1

Iterations

Useful iterations: 4 (13.0ms)

Iter	Nodes	Cost
0	6	7
1	11	7
2	25	7
3	49	7
4	97	6
5	246	6
6	688	6
7	2135	6
done	5001	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))))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 26

Calls

1 calls:

11.0ms

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

series24.0ms

Counts

1 → 3

Calls

1 calls:

24.0ms

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

simplify586.0ms

Counts

29 → 29

Iterations

Useful iterations: 3 (108.0ms)

Iter	Nodes	Cost
0	58	233
1	107	222
2	269	196
3	1178	192
done	5000	192

prune58.0ms

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))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt` `exp-prod`
8×	`*-un-lft-identity` `add-log-exp` `difference-of-squares`
4×	`add-cube-cbrt` `exp-sum` `rem-exp-log`
2×	`pow1` `add-exp-log` `sub-neg` `unpow-prod-down` `exp-diff` `diff-log` `add-cbrt-cube` `distribute-lft-out--` `unpow2` `sqr-pow`

Counts

2 → 40

Calls

2 calls:

19.0ms	(exp (- (pow x 2) 1.0))
21.0ms	(exp (- (pow x 2) 1.0))

series46.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify496.0ms

Counts

46 → 46

Iterations

Useful iterations: 3 (93.0ms)

Iter	Nodes	Cost
0	46	356
1	90	342
2	227	302
3	800	294
done	5001	294

prune117.0ms

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))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

24×	`exp-prod`
20×	`*-un-lft-identity`
14×	`add-sqr-sqrt`
13×	`pow-pow`
10×	`add-cube-cbrt`
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×	`unpow-prod-up` `add-exp-log` `neg-mul-1` `distribute-neg-in` `exp-sum` `neg-log` `add-cbrt-cube` `difference-of-squares`
1×	`neg-sub0` `exp-neg` `pow-to-exp` `sub-neg` `exp-diff` `pow-exp` `sum-log` `sqrt-prod` `distribute-lft-out--` `pow-sub` `sqr-pow`

Counts

2 → 61

Calls

2 calls:

25.0ms	(exp (- (+ (sqrt 1.0) x)))
39.0ms	(pow (exp (- (+ (sqrt 1.0) x))) (- (sqrt 1.0) x))

series241.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(exp (- (+ (sqrt 1.0) x)))
211.0ms	(pow (exp (- (+ (sqrt 1.0) x))) (- (sqrt 1.0) x))

simplify3.0s

Counts

67 → 67

Iterations

Useful iterations: 3 (388.0ms)

Iter	Nodes	Cost
0	105	763
1	224	719
2	852	681
3	4446	678
done	5000	678

prune322.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize12.0ms

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)))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod`
21×	`*-un-lft-identity`
19×	`add-sqr-sqrt`
16×	`unpow-prod-down`
15×	`add-cube-cbrt`
13×	`pow-pow`
12×	`exp-prod`
8×	`unpow-prod-up`
6×	`pow-unpow`
5×	`pow1`
4×	`add-exp-log` `distribute-lft-neg-in` `sub-neg` `distribute-neg-in` `distribute-rgt-neg-in` `exp-sum` `add-cbrt-cube` `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` `sqrt-prod` `distribute-lft-out--`

Counts

4 → 93

Calls

4 calls:

38.0ms	(pow (exp (- (+ (sqrt 1.0) x))) (- (sqrt 1.0) x))
15.0ms	(cbrt (pow (exp (- (+ (sqrt 1.0) x))) (- (sqrt 1.0) x)))
14.0ms	(cbrt (pow (exp (- (+ (sqrt 1.0) x))) (- (sqrt 1.0) x)))
17.0ms	(cbrt (pow (exp (- (+ (sqrt 1.0) x))) (- (sqrt 1.0) x)))

series1.5s

Counts

4 → 12

Calls

4 calls:

218.0ms	(pow (exp (- (+ (sqrt 1.0) x))) (- (sqrt 1.0) x))
421.0ms	(cbrt (pow (exp (- (+ (sqrt 1.0) x))) (- (sqrt 1.0) x)))
422.0ms	(cbrt (pow (exp (- (+ (sqrt 1.0) x))) (- (sqrt 1.0) x)))
410.0ms	(cbrt (pow (exp (- (+ (sqrt 1.0) x))) (- (sqrt 1.0) x)))

simplify2.1s

Counts

105 → 105

Iterations

Useful iterations: 3 (332.0ms)

Iter	Nodes	Cost
0	111	1926
1	228	1870
2	778	1749
3	3587	1725
done	5001	1725

prune286.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes16.0ms

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

sample509.0ms

Algorithm

intervals

Results

332.0ms

15963×

body

valid