Details

sample31.0ms

Algorithm

intervals

Results

18.0ms

499×

body

valid

simplify60.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	4
1	25	4
2	49	4
3	96	4
4	253	4
5	821	4
6	3115	4
7	5002	4

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

60×	`add-sqr-sqrt`
47×	`distribute-neg-in` `exp-sum`
45×	`prod-diff`
42×	`*-un-lft-identity`
34×	`add-cube-cbrt`
24×	`exp-prod`
11×	`swap-sqr` `associate-l`
10×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `difference-of-squares`
9×	`associate-r`
5×	`*-commutative` `add-log-exp` `unswap-sqr`
4×	`distribute-lft-out--`
3×	`rem-exp-log`
2×	`neg-log`
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 → 85

Calls

1 calls:

15.0ms

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

series26.0ms

Counts

1 → 3

Calls

1 calls:

26.0ms

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

simplify56.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	536	959
1	1336	747
2	5001	382

prune69.0ms

Filtered

88 candidates to 29 candidates (33.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	87	1	88
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	87	2	89

Merged error: 0.0b

Counts

89 → 2

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(exp (- 0 (+ (fabs x) (sqrt 1.0))))
0.0b	(pow (exp (- 0 (+ (fabs x) (sqrt 1.0)))) (- (sqrt 1.0) (sqrt (* x x))))
27.0b	(sqrt (* x x))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

179×	`sqrt-prod`
145×	`add-sqr-sqrt`
132×	`prod-diff`
126×	`*-un-lft-identity`
110×	`unpow-prod-up`
98×	`add-cube-cbrt`
28×	`exp-sum`
24×	`swap-sqr`
22×	`associate-l`
21×	`associate-r`
18×	`pow-unpow`
17×	`unpow-prod-down`
14×	`difference-of-squares`
12×	`pow1` `exp-prod`
10×	`*-commutative` `unswap-sqr`
9×	`add-log-exp`
8×	`distribute-lft-out`
7×	`pow-pow` `distribute-lft-out--`
6×	`sqrt-pow1`
5×	`rem-sqrt-square`
4×	`add-exp-log`
3×	`expm1-log1p-u` `sub-neg` `exp-diff` `add-cbrt-cube` `log1p-expm1-u` `rem-exp-log`
2×	`diff-log` `pow-exp` `associate--r+`
1×	`+-commutative` `pow2` `exp-neg` `pow-to-exp` `pow-plus` `sub0-neg` `pow1/2` `pow-prod-down` `sum-log` `pow-sqr` `pow-prod-up` `pow-sub` `sqr-pow`

Counts

3 → 238

Calls

3 calls:

9.0ms	(exp (- 0 (+ (fabs x) (sqrt 1.0))))
33.0ms	(pow (exp (- 0 (+ (fabs x) (sqrt 1.0)))) (- (sqrt 1.0) (sqrt (* x x))))
5.0ms	(sqrt (* x x))

series183.0ms

Counts

3 → 9

Calls

3 calls:

107.0ms	(exp (- 0 (+ (fabs x) (sqrt 1.0))))
67.0ms	(pow (exp (- 0 (+ (fabs x) (sqrt 1.0)))) (- (sqrt 1.0) (sqrt (* x x))))
9.0ms	(sqrt (* x x))

simplify113.0ms

Algorithm

egg-herbie

Counts

247 → 247

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	1061	5327
1	3233	4766
2	5002	4533

prune311.0ms

Filtered

247 candidates to 90 candidates (36.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	246	1	247
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	247	2	249

Merged error: 0b

Counts

249 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (- 0 (+ (fabs x) (sqrt 1.0))))
0.0b	(exp (- 0 (+ (fabs x) (sqrt 1.0))))
27.0b	(sqrt (* x x))
27.0b	(sqrt (* x x))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

52×	`*-un-lft-identity`
48×	`add-sqr-sqrt`
30×	`add-cube-cbrt` `sqrt-prod`
28×	`exp-sum`
24×	`prod-diff`
20×	`pow1`
16×	`add-log-exp`
12×	`exp-prod` `sqrt-pow1`
10×	`rem-sqrt-square`
8×	`swap-sqr` `distribute-lft-out`
6×	`exp-diff` `associate-r` `associate-l` `rem-exp-log`
4×	`add-exp-log` `expm1-log1p-u` `diff-log` `*-commutative` `add-cbrt-cube` `log1p-expm1-u` `associate--r+` `distribute-lft-out--` `unswap-sqr`
2×	`+-commutative` `pow2` `exp-neg` `sub-neg` `pow-plus` `sub0-neg` `pow1/2` `pow-prod-down` `sum-log` `pow-sqr` `pow-prod-up` `difference-of-squares`

Counts

4 → 144

Calls

4 calls:

9.0ms	(exp (- 0 (+ (fabs x) (sqrt 1.0))))
9.0ms	(exp (- 0 (+ (fabs x) (sqrt 1.0))))
5.0ms	(sqrt (* x x))
7.0ms	(sqrt (* x x))

series239.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(exp (- 0 (+ (fabs x) (sqrt 1.0))))
109.0ms	(exp (- 0 (+ (fabs x) (sqrt 1.0))))
9.0ms	(sqrt (* x x))
9.0ms	(sqrt (* x x))

simplify134.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	192	1066
1	595	828
2	3097	584
3	5001	584

prune378.0ms

Filtered

156 candidates to 90 candidates (57.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	156	0	156
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	156	2	158

Merged error: 0b

Counts

158 → 2

regimes56.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	4

end0.0ms

sample510.0ms

Algorithm

intervals

Results

331.0ms

15790×

body

valid