Details

sample21.0ms

Algorithm

intervals

Results

13.0ms

501×

body

valid

simplify61.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	4
1	25	4
2	47	4
3	90	4
4	239	4
5	805	4
6	3072	4
7	5003	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: 0.1b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

0.1b	(exp (- (- 1.0 (* x x))))

rewrite5.0ms

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:

5.0ms

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

series23.0ms

Counts

1 → 3

Calls

1 calls:

23.0ms

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

simplify46.0ms

Algorithm

egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 3 (43.0ms)

Iter	Nodes	Cost
0	108	131
1	298	119
2	1348	116
3	5001	114

prune54.0ms

Filtered

29 candidates to 21 candidates (72.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	27	2	29
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	28	2	30

Merged error: 0.0b

Counts

30 → 2

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)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt` `pow-unpow` `*-un-lft-identity`
8×	`add-cube-cbrt` `exp-prod`
6×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
5×	`pow-pow` `add-log-exp`
4×	`unpow-prod-down` `difference-of-squares`
3×	`pow1`
2×	`unpow-prod-up` `add-exp-log` `distribute-neg-in` `exp-sum` `sqrt-prod` `add-cbrt-cube` `rem-exp-log` `distribute-lft-out` `distribute-lft-out--`
1×	`neg-sub0` `pow-to-exp` `pow-neg` `neg-mul-1` `sub-neg` `pow-exp` `sum-log` `pow-sub` `sqr-pow`

Counts

2 → 53

Calls

2 calls:

5.0ms	(exp (+ (sqrt 1.0) x))
12.0ms	(pow (exp (+ (sqrt 1.0) x)) (- (- (sqrt 1.0) x)))

series191.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(exp (+ (sqrt 1.0) x))
168.0ms	(pow (exp (+ (sqrt 1.0) x)) (- (- (sqrt 1.0) x)))

simplify185.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	244	433
1	965	402
2	4790	388
3	5002	388

prune117.0ms

Filtered

59 candidates to 40 candidates (67.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	56	3	59
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	57	4	61

Merged error: 0.0b

Counts

61 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (+ (sqrt 1.0) x))
0.0b	(pow (exp (+ (sqrt 1.0) x)) (/ (- x (sqrt 1.0)) 2))
0.0b	(pow (exp (+ (sqrt 1.0) x)) (/ (- x (sqrt 1.0)) 2))
0.0b	(* (pow (exp (+ (sqrt 1.0) x)) (/ (- x (sqrt 1.0)) 2)) (pow (exp (+ (sqrt 1.0) x)) (/ (- x (sqrt 1.0)) 2)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

73×	`add-sqr-sqrt`
55×	`*-un-lft-identity`
44×	`pow-unpow`
37×	`add-cube-cbrt`
36×	`times-frac`
30×	`unpow-prod-down`
12×	`exp-prod` `difference-of-squares` `sqr-pow`
10×	`add-exp-log` `pow-pow`
9×	`prod-exp` `unswap-sqr`
8×	`pow-to-exp` `swap-sqr` `associate-r` `associate-l` `pow-exp`
7×	`exp-sum` `add-log-exp`
6×	`pow1` `div-sub` `sqrt-prod` `add-cbrt-cube` `distribute-lft-out--` `pow-sub`
3×	`distribute-lft-out`
2×	`div-inv` `rem-exp-log`
1×	`pow2` `frac-times` `associate-r/` `pow-prod-down` `associate-l/` `sum-log` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod`

Counts

4 → 156

Calls

4 calls:

5.0ms	(exp (+ (sqrt 1.0) x))
11.0ms	(pow (exp (+ (sqrt 1.0) x)) (/ (- x (sqrt 1.0)) 2))
11.0ms	(pow (exp (+ (sqrt 1.0) x)) (/ (- x (sqrt 1.0)) 2))
15.0ms	(* (pow (exp (+ (sqrt 1.0) x)) (/ (- x (sqrt 1.0)) 2)) (pow (exp (+ (sqrt 1.0) x)) (/ (- x (sqrt 1.0)) 2)))

series661.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(exp (+ (sqrt 1.0) x))
223.0ms	(pow (exp (+ (sqrt 1.0) x)) (/ (- x (sqrt 1.0)) 2))
178.0ms	(pow (exp (+ (sqrt 1.0) x)) (/ (- x (sqrt 1.0)) 2))
238.0ms	(* (pow (exp (+ (sqrt 1.0) x)) (/ (- x (sqrt 1.0)) 2)) (pow (exp (+ (sqrt 1.0) x)) (/ (- x (sqrt 1.0)) 2)))

simplify65.0ms

Algorithm

egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	412	1840
1	1862	1673
2	5001	1625

prune359.0ms

Filtered

168 candidates to 106 candidates (63.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	165	3	168
Fresh	2	0	2
Picked	1	0	1
Done	1	0	1
Total	169	3	172

Merged error: 0.0b

Counts

172 → 3

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(exp (+ (sqrt 1.0) x))
0.0b	(pow (pow (exp (+ (sqrt 1.0) x)) 2) (/ (- x (sqrt 1.0)) 2))
1.0b	(pow (exp (+ (sqrt 1.0) x)) 2)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
29×	`*-un-lft-identity`
25×	`pow-unpow`
19×	`add-cube-cbrt`
18×	`times-frac`
17×	`unpow-prod-down`
8×	`exp-prod`
6×	`pow-pow` `add-log-exp` `difference-of-squares`
5×	`pow-exp`
4×	`pow1` `add-exp-log`
3×	`pow-to-exp` `exp-sum` `sqrt-prod` `add-cbrt-cube` `distribute-lft-out--` `sqr-pow`
2×	`rem-exp-log` `distribute-lft-out` `unpow2`
1×	`div-sub` `sum-log` `div-inv` `pow-sub`

Counts

3 → 82

Calls

3 calls:

5.0ms	(exp (+ (sqrt 1.0) x))
12.0ms	(pow (pow (exp (+ (sqrt 1.0) x)) 2) (/ (- x (sqrt 1.0)) 2))
6.0ms	(pow (exp (+ (sqrt 1.0) x)) 2)

series255.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(exp (+ (sqrt 1.0) x))
179.0ms	(pow (pow (exp (+ (sqrt 1.0) x)) 2) (/ (- x (sqrt 1.0)) 2))
54.0ms	(pow (exp (+ (sqrt 1.0) x)) 2)

simplify53.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	451	823
1	1711	767
2	5001	738

prune198.0ms

Filtered

91 candidates to 57 candidates (62.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	90	1	91
Fresh	0	2	2
Picked	1	0	1
Done	0	0	0
Total	91	3	94

Merged error: 0b

Counts

94 → 3

regimes15.0ms

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	12	8
1	12	8

end0.0ms

sample512.0ms

Algorithm

intervals

Results

337.0ms

16070×

body

valid