Details

analyze5.0ms

Algorithm

Search

True	Other	False	Iter
0%	74.6%	25.4%	0
0%	74.6%	25.4%	1
37.3%	37.3%	25.4%	2
37.3%	18.7%	44%	3
46.7%	9.3%	44%	4
46.7%	4.7%	48.7%	5
49%	2.3%	48.7%	6
49%	1.2%	49.8%	7
49.6%	0.6%	49.8%	8
49.9%	0.3%	49.8%	9
49.9%	0.1%	50%	10
49.9%	0.1%	50.1%	11
49.9%	0%	50.1%	12
49.9%	0%	50.1%	13
49.9%	0%	50.1%	14

sample38.0ms

Algorithm

intervals

Results

17.0ms	107×	body	1280	valid
9.0ms	81×	body	640	valid
3.0ms	256×	pre	80	true
3.0ms	38×	body	320	valid
1.0ms	27×	body	160	valid
0.0ms	3×	body	80	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	2
1	7	2
2	7	2

prune2.0ms

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: 58.8b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

6.2b	(- (exp x) 1.0)

rewrite4.0ms

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:

4.0ms

(- (exp x) 1.0)

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(- (exp x) 1.0)

simplify53.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	81	72
1	185	67
2	499	66
3	1399	66
4	5002	66

prune37.0ms

Filtered

12 candidates to 17 candidates (-41.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	14	3	17
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	15	3	18

Merged error: 0.0b

Counts

18 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (pow x 2) (+ (* x 1/6) 1/2))
0.3b	(* x 1/6)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
11×	`associate-l`
9×	`add-exp-log`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-r` `add-cbrt-cube`
5×	`unswap-sqr`
4×	`pow1` `unpow-prod-down` `prod-exp`
2×	`associate-r/` `-commutative` `cbrt-unprod` `unpow2` `add-log-exp` `sqr-pow`
1×	`distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `flip3-+` `pow-prod-down` `pow-exp` `flip-+`

Counts

2 → 49

Calls

2 calls:

7.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
4.0ms	(* x 1/6)

series8.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
2.0ms	(* x 1/6)

simplify41.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	247	238
1	1168	215
2	5001	215

prune66.0ms

Filtered

35 candidates to 55 candidates (-57.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	55	3	58

Merged error: 0.0b

Counts

58 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (exp x))
0.0b	(sqrt (exp x))
0.0b	(* (+ (sqrt (exp x)) (sqrt 1.0)) (- (sqrt (exp x)) (sqrt 1.0)))
6.2b	(- (sqrt (exp x)) (sqrt 1.0))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
20×	`sqrt-prod`
10×	`add-cube-cbrt`
9×	`associate-r`
8×	`pow1` `sqrt-pow1` `difference-of-squares`
6×	`add-exp-log` `exp-prod` `add-cbrt-cube` `add-log-exp`
5×	`associate-l`
4×	`frac-times` `flip3--` `flip--` `distribute-lft-out--`
3×	`sub-neg` `flip3-+` `flip-+`
2×	`distribute-rgt-in` `rem-sqrt-square` `distribute-lft-in` `pow1/2` `associate-r/` `associate-l/` `distribute-lft-out`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 88

Calls

4 calls:

2.0ms	(sqrt (exp x))
2.0ms	(sqrt (exp x))
18.0ms	(* (+ (sqrt (exp x)) (sqrt 1.0)) (- (sqrt (exp x)) (sqrt 1.0)))
7.0ms	(- (sqrt (exp x)) (sqrt 1.0))

series20.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(sqrt (exp x))
3.0ms	(sqrt (exp x))
10.0ms	(* (+ (sqrt (exp x)) (sqrt 1.0)) (- (sqrt (exp x)) (sqrt 1.0)))
5.0ms	(- (sqrt (exp x)) (sqrt 1.0))

simplify37.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	250	730
1	1091	643
2	5001	617

prune120.0ms

Filtered

68 candidates to 100 candidates (-47.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	99	1	100
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	101	2	103

Merged error: 0.0b

Counts

103 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (sqrt (sqrt (exp x))) (sqrt (sqrt 1.0)))
0.0b	(* (+ (sqrt (exp x)) (sqrt 1.0)) (* (+ (sqrt (sqrt (exp x))) (sqrt (sqrt 1.0))) (- (sqrt (sqrt (exp x))) (sqrt (sqrt 1.0)))))
0.0b	(* (+ (sqrt (sqrt (exp x))) (sqrt (sqrt 1.0))) (- (sqrt (sqrt (exp x))) (sqrt (sqrt 1.0))))
6.3b	(- (sqrt (sqrt (exp x))) (sqrt (sqrt 1.0)))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

62×	`sqrt-prod`
45×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
32×	`frac-times`
22×	`flip3-+` `flip-+`
18×	`difference-of-squares`
16×	`associate-r/` `associate-r*`
13×	`flip3--` `flip--`
11×	`pow1` `add-exp-log` `associate-l` `add-cbrt-cube`
10×	`distribute-rgt-in` `distribute-lft-in` `associate-*l/`
8×	`distribute-lft-out` `add-log-exp`
7×	`add-cube-cbrt` `sub-neg`
6×	`distribute-lft-out--`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`*-commutative`
1×	`+-commutative` `diff-log` `sum-log` `unswap-sqr`

Counts

4 → 137

Calls

4 calls:

9.0ms	(+ (sqrt (sqrt (exp x))) (sqrt (sqrt 1.0)))
28.0ms	(* (+ (sqrt (exp x)) (sqrt 1.0)) (* (+ (sqrt (sqrt (exp x))) (sqrt (sqrt 1.0))) (- (sqrt (sqrt (exp x))) (sqrt (sqrt 1.0)))))
25.0ms	(* (+ (sqrt (sqrt (exp x))) (sqrt (sqrt 1.0))) (- (sqrt (sqrt (exp x))) (sqrt (sqrt 1.0))))
10.0ms	(- (sqrt (sqrt (exp x))) (sqrt (sqrt 1.0)))

series129.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(+ (sqrt (sqrt (exp x))) (sqrt (sqrt 1.0)))
43.0ms	(* (+ (sqrt (exp x)) (sqrt 1.0)) (* (+ (sqrt (sqrt (exp x))) (sqrt (sqrt 1.0))) (- (sqrt (sqrt (exp x))) (sqrt (sqrt 1.0)))))
36.0ms	(* (+ (sqrt (sqrt (exp x))) (sqrt (sqrt 1.0))) (- (sqrt (sqrt (exp x))) (sqrt (sqrt 1.0))))
22.0ms	(- (sqrt (sqrt (exp x))) (sqrt (sqrt 1.0)))

simplify121.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 2 (101.0ms)

Iter	Nodes	Cost
0	599	2715
1	3851	2230
2	5002	2222

prune298.0ms

Filtered

101 candidates to 149 candidates (-47.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	148	1	149
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	148	3	151

Merged error: 0.0b

Counts

151 → 3

regimes96.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	5
1	13	5

end0.0ms

analyze2.0ms

Algorithm

Search

True	Other	False	Iter
0%	74.6%	25.4%	0
0%	74.6%	25.4%	1
37.3%	37.3%	25.4%	2
37.3%	18.7%	44%	3
46.7%	9.3%	44%	4
46.7%	4.7%	48.7%	5
49%	2.3%	48.7%	6
49%	1.2%	49.8%	7
49.6%	0.6%	49.8%	8
49.9%	0.3%	49.8%	9
49.9%	0.1%	50%	10
49.9%	0.1%	50.1%	11
49.9%	0%	50.1%	12
49.9%	0%	50.1%	13
49.9%	0%	50.1%	14

sample1.2s

Algorithm

intervals

Results

567.0ms	3389×	body	1280	valid
264.0ms	2516×	body	640	valid
89.0ms	8000×	pre	80	true
83.0ms	1237×	body	320	valid
29.0ms	647×	body	160	valid
4.0ms	211×	body	80	valid

Details

analyze5.0ms

sample38.0ms

simplify4.0ms

prune2.0ms

localize3.0ms

rewrite4.0ms

series3.0ms

simplify53.0ms

prune37.0ms

localize7.0ms

rewrite12.0ms

series8.0ms

simplify41.0ms

prune66.0ms

localize7.0ms

rewrite31.0ms

series20.0ms

simplify37.0ms

prune120.0ms

localize12.0ms

rewrite78.0ms

series129.0ms

simplify121.0ms

prune298.0ms

regimes96.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze2.0ms

sample1.2s

Profiling